what is the surface of a cylinder that has a height of 8 and a radius of 10

Answers

Answer 1

Answer:

Surface area I'm guessing.  1,130.4

Step-by-step explanation:

The formula for the surface area of a cylinder is: 2*pi*r^2 + 2*pi*r*h.

Plug in the values given.

2*pi*10^2 + 2*pi*10*8

628 + 502.4 = 1,130.4

(If you want the most precise value, use a calculator for pi instead of just 3.14.)

Answer 2

ANSWER

[tex]S A = 1130.4[/tex]

square units.

EXPLANATION

The given cylinder has a height of 8 and a radius of 10.

The formula for calculating the surface area of a cylinder is

[tex]S A = 2\pi \: r(r + h)[/tex]

We substitute r=8 and h=10 into the formula to get:

[tex]S A = 2\pi \: 10(10+ 8)[/tex]

[tex]S A = 360\pi [/tex]

Or using π=3.14

[tex]S A = 1130.4[/tex]

units square.


Related Questions

Can someone check over my answers? Thanks!

Answers

Answer:

Yes, I just checked it. All of it is right!

Step-by-step explanation:

Good Job!!

if the radius of a circle is 4.25 feet, what is the diameter? and if x= -5 and y=2x^2, then y=

Answers

The diameter is 8.5 feet

The Y is 100

In the morning, the temperature starts out around 50° F. As the day goes on, the temperature rises first slowly, then more quickly. It stays constant for an hour before dropping slowly. Select the graph that best represents this description

Answers

Answer:

Graph A.

Step-by-step explanation:

We will try to understand the graph plotted for the change in temperature for whole day.

In the morning, temperature starts out around 50°F. As the day goes on, the temperature rises first slowly- Slope of the first line will be less.

Then temperature rises more quickly - Slope of the second line will be more than first line.

It stays constant for an hour- third line will be parallel to the x-axis for one hour gap.

Then the temperature dropped down slowly - Last line of the graph will go down.

By the understanding we made for the graph we find graph A is the answer.

Answer:

the top left graph

Order of Operations 4
Use the correct order of operations to evaluate each expression.

choices
-4
-6
1
4
20
21

Answers

Answer:

1. 21

2. -4

3. 20

4. 1

5. 4

6. -6

Step-by-step explanation:

What is the area of the trapezoid below?

Answers

Answer:

684

Step-by-step explanation:

A=a+b

2h=26+46

2·19=684

Answer:

684 m²

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = [tex]\frac{1}{2}[/tex] h (a + b)

where h is the perpendicular height and a, b the parallel bases

here h = 19, a = 46 and b = 26

A = [tex]\frac{1}{2}[/tex] × 19 × (46 + 26)

   = 9.5 × 72 = 684 m²

an ellipse has a center of (3,1), a focus of (8,1) and a directrix of x = 36.8. what is the equation of the ellipse?

Answers

hmmm was going to do a quick mockup, but it might be too wide, so let's nevermind that piece.

so let's see, the center of this ellipse is at (3,1), and a focus point is at (8,1), notice, the y-coordinate is the same, meaning the distance between those two points is "c", which is 5, so c = 5.

We also know that the directrix is x = 36.8, well, that's a vertical line, if the line is vertical, that means the ellipse is running perpendicular to that, namely it has a major axis over the x-axis, so is horizontal.

[tex]\bf \textit{ellipse, horizontal major axis} \\\\ \cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2}\\ eccentricity\quad e=\cfrac{c}{a}\\\\ directrix=h\pm \cfrac{a^2}{c} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{its directrix}}{x=h\pm\cfrac{a^2}{c}}\implies \stackrel{\textit{using one directrix}}{36.8=h+\cfrac{a^2}{c}}\qquad \begin{cases} h=3\\ k=1\\ c=5 \end{cases}\implies 36.8=3+\cfrac{a^2}{5} \\\\\\ 33.8=\cfrac{a^2}{5}\implies \boxed{169=a^2}\implies 13=a \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{recall that }}{c=\sqrt{a^2-b^2}}\implies 5=\sqrt{169-b^2}\implies 5^2=169-b^2\implies 5^2+b^2=169 \\\\\\ b^2=169-5^2\implies \boxed{b^2=144}\implies b=12 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{(x-3)^2}{169}+\cfrac{(y-1)^2}{144}=1~\hfill[/tex]

Answer:

a  on edgn btw

Step-by-step explanation:

given x+2<-5 choose the solution set.​

Answers

Answer:

[tex]\large\boxed{\{x|x\in\mathbb{R},\ x<-7\}}[/tex]

Step-by-step explanation:

[tex]x+2<-5\qquad\text{subtract 2 from both sides}\\\\x+2-2<-5-2\\\\x<-7\to\{x|x\in\mathbb{R},\ x<-7\}[/tex]

Answer:

x < -7; the answer is the first choice.

Step-by-step explanation:

x + 2 < -5

Subtract 2 from both sides.

x < -7

The answer is the first choice.

What is the equation of a vertical line passing through the point (-4,7)?

Answers

Answer:

x = -4

Step-by-step explanation:

a vertical line is the x-coordinate in an ordered pair, while a horizontal line is the y-coordinate in an ordered pair

a useful mnemonic is VUX/HOY which stands for:

VUX:

Vertical line

Undefined slope

X: x coordinate

HOY:

Horizontal line

0 is the slope

Y: y coordinate

4 times 10
a . 2
b . 7
c . 40
d .97​

Answers

Answer:

40

Step-by-step explanation:

      10

x       4

    =40

Answer:

4*10 = C. 40

Step-by-step explanation:

Add 10 4 times and get 40!!

SIMPLE HOPE IT HEPLS PLEASE MARK BRAINLIST!!

Help ASAP 2 questions!!!!!!
20 point (10 for each hopefully)
1
2

Answers

Answer:

Step-by-step explanation:

1. We aren't worried about the area of the base, so the area is the area of the 4 triangles.  Each triangle has an area of half the base times the height.

A = 4 (½ bh)

A = 2 bh

Given b = 6 and h (the height of the triangle, not the pyramid) = 5:

A = 2 (6) (5)

A = 60 ft²

2. This time, we want to include the area of the rectangular base, so:

A = b₁b₂ + 2 (½ b₁h₁) + 2 (½ b₂h₂)

A = b₁b₂ + b₁h₁ + b₂h₂

Given b₁ = 78 m, b₂ = 50 m, h₁ = 52 m, and h₂ = 60 m:

A = (78) (50) + (78) (52) + (50) (60)

A = 10,956 m²

Solving for matrices

Answers

Answer:

D

Step-by-step explanation:

The augmented matrix for the system of three equaitons is

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\5&2&-2&|&11\\5&-4&4&|&-7\end{array}\right)[/tex]

Multiply the first row by 5, the second row by -3 and add these two rows:

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\5&-4&4&|&-7\end{array}\right)[/tex]

Subtract the third row from the second:

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&6&-6&|&18\end{array}\right)[/tex]

Divide the third row by 6:

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&1&-1&|&3\end{array}\right)[/tex]

Now multiply  the third equation by 26 and add it to the second row:

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&0&-45&|&-90\end{array}\right)[/tex]

You get the system of three equations:

[tex]\left\{\begin{array}{r}3x-4y-5z=-27\\-26y-19z=-168\\-45z=-90\end{array}\right.[/tex]

From the third equation

[tex]z=\dfrac{90}{45}=2.[/tex]

Substitute z=2 into the second equation:

[tex]-26y-19\cdot 2=-168\\ \\-26y-38=-168\\ \\-26y=-168+38=-130\\ \\y=\dfrac{130}{26}=5.[/tex]

Now substitute z=2 and y=5 into the first equation:

[tex]3x-4\cdot 5-5\cdot 2=-27\\ \\3x-20-10=-27\\ \\3x-30=-27\\ \\3x=-27+30=3\\ \\x=1.[/tex]

The solution is (1,5,2)

The correct answer is option d (1, 5, 2).

To solve the system of equations, let's write the augmented matrix and perform row operations to get it into reduced row-echelon form (RREF). The system of equations is as follows:

3x−4y+5z (1)

5x+2y−2z  (2)

5x−4y+4z  (3)

The augmented matrix for this system is:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\5&2&-2&|11\\5&-4&4&|7\end{array}\right][/tex]

Now, let's perform row operations to get the reduced row-echelon form:

Subtract 5 times the first row from the second row:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&22&-27&|-134\\5&-4&4&|7\end{array}\right][/tex]

Subtract 5 times the first row from the third row:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&22&-27&|-134\\0&16&-21&|-118\end{array}\right][/tex]

Multiply the second row by 8/11:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&1&-8/11&|-67/11\\0&16&-21&|-118\end{array}\right][/tex]

Subtract 16 times the second row from the third row:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&1&-8/11&|-67/11\\0&0&5/11&|10/11\end{array}\right][/tex]

Multiply the third row by 11/5:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&1&-8/11&|-67/11\\0&0&1&|2\end{array}\right][/tex]

Add 4/11 ​times the third row to the second row:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&1&0&|1\\0&0&1&|2\end{array}\right][/tex]

Add 4 times the third row to the first row:

[tex]\left[\begin{array}{ccc}3&-4&0&|35\\0&1&0&|1\\0&0&1&|2\end{array}\right][/tex]

Add 4 times the second row to the first row:

[tex]\left[\begin{array}{ccc}3&0&0&|39\\0&1&0&|1\\0&0&1&|2\end{array}\right][/tex]

Now, we can read off the solutions:

3x=39⇒x=13

y=1

z=2

So, the correct answer is (d) (1,5,2).

What does F equal???

Answers

Answer:

F=10

Step-by-step explanation:

I say trapezoidal prism. Am I right! Thanks

Answers

The correct answer is:

D=Trapezoidal Prism

Yep! You're right!

It is trapezoidal prism.

What is the shape of the cross section of the figure that is perpendicular to the rectangular base but does not pass through the top vertex?


A a parallelogram that is not a rectangle

B a rectangle

C a triangle

D a trapezoid

Answers

Answer:

I'm pretty sure its a Trapezoid but don't quote me

Step-by-step explanation:

I don't really know

The shape of the cross section of the figure that is perpendicular to the rectangular base but does not pass through the top vertex is a rectangle.

What is a rectangle?

A rectangle is a quadrilateral (having four sides and four angles) in which opposite sides are equal and parallel. The diagonals bisect each other, and each angle measures 90 degrees.

The shape of the cross section of the figure that is perpendicular to the rectangular base but does not pass through the top vertex is a rectangle.

Find out more on rectangle at: https://brainly.com/question/25292087

The volume of a cube is 1953.1 25 cm³ find the length of the side round your answer to the nearest 10th

Answers

Answer:

s = ∛( 1953.125 cm³ ) = 12.5 cm

Step-by-step explanation:

The volume of a cube is V = s³, where s represents the length of one edge.

Here, V = s³ = 1953.125 cm³, and we need to solve for s.  Do this by taking the cube root of both sides:

s = ∛( 1953.125 cm³ ) = 12.5 cm

Which expression is 5 times as large as the expression 345+23

Answers

Answer:

1840

Step-by-step explanation:

345+23=368*5

Answer: 1840

Step-by-step explanation:

you add 345 + 23 and multiply by 5

In the table below, x represents the miles traveled and y represents the cost to travel by train.


Miles, x

Cost, y

2

8.50

5

15.25

8

22.00

12

31.00


What is the slope of this function?


0.44

0.63

2.25

22.50

Answers

Answer:

Third option

m = 2.25

Step-by-step explanation:

The slope of the function is equal to its rate of change between two points.

For example, for a couple of points [tex](x_1, y_1),\ (x_2, y_2)[/tex]

The slope is:

[tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]

In this problem we have the following points

1.(2, 8.50) , 2. (5, 15.25), 3. (8, 22.00) , 4. (12, 31.00)

We calculate the slope between the first two points

[tex]m =\frac{15.25-8.50}{5-2}=2.25[/tex]

We calculate the slope between the points 3 and 4

[tex]m =\frac{31-22}{8-4}=2.25[/tex]

We calculate the slope between the points 2 and 3

[tex]m =\frac{22-15.25}{8-5}=2.25[/tex]

The slope is always the same. Therefore m is constant and the fution is a line of slope m = 2.25

Answer:it’s C 2.25

Step-by-step explanation:

The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. What is the probability that a randomly selected tree in the forest has a height greater than or equal to 37 meters? Use the portion of the standard normal table given to help answer the question.

z. Probability
0.00. 0.5000
0.50. 0.6915
1.00. 0.8413
2.00. 0.9772
3.00. 0.9987

0.13%
0.26%
2.3%
4.6%

Answers

Answer:

2.3%

Step-by-step explanation:

The formula to convert x into z distribution is

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where z is the test statistic

x is what we are looking for (in this case 37)

[tex]\mu[/tex] is the mean (in this case, it is 25)

[tex]\sigma[/tex] is the standard deviation (we have 6)

Plugging these into the formula, we get:

[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{37-25}{6}\\z=2[/tex]

Thus we can say we want [tex]P(z\geq 2)[/tex]

Note: [tex]P(z\geq a)=1-P(z\leq a)[/tex]

The table given is for any  z where [tex]P(z\leq a)[/tex]

Thus, now we have:

[tex]P(z\geq 2)\\=1-P(z\leq 2)\\=1-0.9772\\=0.0228\\[/tex]

0.0228 into percentage is 0.0228 * 100 = 2.28%

Rounded, we get 2.3%

Third answer choice is right.

Answer:

C fosho

Step-by-step explanation:

GL on tests/exams

Parallelogram abcd has verticals at A(0,0), B(3,6), C(5,5) and D(2,-1) which conclusion can be made ?

Answers

Answer:

A.

Step-by-step explanation:

when you plot the vertices;

Side AB is perpendicular to side BC

Side AB is parallel to side DC

Side AC is perpendicular to AB

Side AC is perpendicular to DC

Side AC is parallel to side BC

The conclusion made is that ABCD is a rectangle

what is the value of the 7 in the number 2 741 203?

Answers

Answer:

700,000

Step-by-step explanation:

2 = million

7 = hundred thousands

4 = ten thousands

1 = thousands

2 = hundreds

0 = tens

3 = ones

I hope I helped!

Let me know if you need anything else!

~ Zoe

Which of the following is 6(x+4)(x+3)/24(x-3)(x+4) simplified

Answers

Answer:

[tex]\frac{6\left(x+4\right)\left(x+3\right)}{24\left(x-3\right)\left(x+4\right)}=\frac{x+3}{4\left(x-3\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:6\\=\frac{\left(x+4\right)\left(x+3\right)}{4\left(x-3\right)\left(x+4\right)}\\\mathrm{Cancel\:the\:common\:factor:}\:x+4[/tex]

Hope this helps!!!

[tex]Sofia[/tex]

NEED HELP ASAP, WILL GIVE 5 STARS AND BRAINLIEST!!!

Answers

Of the boys surveyed, more prefer cats. Of the girls survey, more prefer dogs. The does appear to be an association between gender and animal preference.

How to classify the association between variables?

In this problem, we have that boys and girls have different preferences regarding animals, that is, from the table:

More boys prefer cats.More girls prefer dogs.

Hence there does appear to be an association between gender and animal preference.

More can be learned about association between variables at brainly.com/question/16355498

#SPJ1

below is the price listed for different sized pizzas

Answers

Answer:

the answer is c not sure if right

What is true about the number 480,516? Check all that apply.
The 8 is in the thousands place.
The 5 is in the hundreds place.
The number is read as "four hundred eight thousand, five hundred sixteen."
480,516 is equivalent to 400,000 + 8,000 + 500 + 10 + 6
480,516 is equivalent to 400,000 + 80,000 + 500 + 10 + 6

Answers

It’s the second answer and the last answer :)

Answer:

The 5 is in the hundreds place.

480,516 is equivalent to 400,000 + 80,000 + 500 + 10 + 6

Step-by-step explanation:

Which equation represents the graphed function? (0,3) (1,1)​

Answers

y=-2x+3 in slope-intercept form

3 is the y-intercept and -2 is the slope

Answer:

2x - y + 3 = 0

Step-by-step explanation:

The formula used to find the equation is:

[tex]y-y_1= \frac{(y_2-y_1)}{(x_2-x_1)} (x-x_1)[/tex]

Here, (x₁, y₁) = (0, 3)

and (x₂, y₂) = (1, 1)

Putting all values in above formula,

[tex]y-3= \frac{(1-3}{(1-0)} (x-0)[/tex]

⇒  [tex]y - 3 =\frac{-2}{1}x[/tex]

⇒ y - 3 = 2x

⇒ 2x - y + 3 = 0

which is the requires equation.

The figure below is a net for a triangular prism. Side a = 45 inches, side b = 14 inches, side c = 30 inches, and altitude d = 20 inches. What is the surface area of this figure?


A. 2,370 square inches
B. 1,950 square inches
C. 3,000 square inches
D. 2,790 square inches

Answers

The surface area of the triangular prism is 1950 square inches, computed by summing the areas of its constituent triangles and rectangles.

Surface area refers to the measure of the total area that the surface of an object occupies. It is a crucial geometric concept that varies for different shapes and dimensions in geometry, encompassing diverse forms like spheres, cubes, cuboids, cones, and cylinders. Each geometric shape possesses unique formulas for calculating its surface area.

Considering the provided net for a triangular prism with side lengths a, b, and c, and altitude d, the surface area is computed by summing the areas of its constituent shapes – two triangles and three rectangles. The formula for the total surface area is given as:

Total Surface Area = Surface Area of Triangle + Surface Area of Rectangle

Detailed calculations involve substituting the given values for side lengths and altitude into the formulas for the surface area of a triangle and a rectangle. For the triangular prism described, the total surface area is determined as:

Total Surface Area = d * a + b * a + 2 * c * b

Substituting the given values (d = 20, a = 44, b = 14, and c = 30), the calculation yields:

Total Surface Area = (22 * 45) + (12 * 45) + 2 * (30 * 14) = 1950

Therefore, the surface area of the given figure is 1950 square inches.

Final answer:

The surface area of the triangular prism is calculated by adding the areas of the two triangular faces and three rectangular faces. Upon calculation, the areas of two triangles are 600 square inches, and the rectangles are 900 and 280 square inches for sides a and b, respectively. However, none of the provided answer choices match the calculated surface area of 1780 square inches.

Explanation:

To find the surface area of a triangular prism, we need to find the area of all its faces. We have two triangular faces and three rectangular faces. The area of each triangular face is calculated using the formula A = bh/2, where b is the base and h is the height. Since side c is 30 inches and the altitude d is 20 inches, the area of one triangular face is:

A triangle = (c x d) / 2

= (30 inches x 20 inches) / 2

= 600 / 2

= 300 square inches

Since there are two triangular faces, we double this to get 600 square inches for both.

The rectangular faces consist of the sides a, b, and c. Their areas are a x d, b x d and c x d, respectively. So we calculate:

Side a: 45 inches x 20 inches = 900 square inches

Side b: 14 inches x 20 inches = 280 square inches

Side c (already computed as part of triangular faces)

Sum the areas of all these faces to get the total surface area:

Total surface area = (Area of triangles) + (Area of rectangles)

= 600 square inches (triangles) + 900 square inches (side a) + 280 square inches (side b)

= 1780 square inches

The correct answer must include the area of both triangular faces and all three rectangular faces. Since none of the given options match the computed total surface area, it's possible there may have been an error in the provided options or in the dimensions given for the prism.

An opaque bag contains 5 green marbles 3 blue marbles and 2 red marbles. What is the probability of randomly picking out a marble and the marble being red?

Answers

Answer= .2 probability

Explanation: Since there is a total of 10 marbles, and 2 are red, you would divide the red marbles (2) out of the total marbles (10) which would get u .2. Since it’s asking for probability, we would keep .2 a decimal.

Final answer:

The probability of randomly picking a red marble from the bag is 2 out of 10, or 0.2 when expressed as a decimal, which equates to a 20% chance.

Explanation:

The subject of the question you asked is mathematics, specifically probability. In order to calculate the probability of an event happening, you divide the number of successful outcomes by the total number of outcomes. In this case, the successful outcome would be picking a red marble.

The total number of marbles in the bag is 5 (green) + 3 (blue) + 2 (red) = 10. The successful outcomes are 2 (the red marbles). Therefore, the probability of picking a red marble is 2/10 or 0.2.

 

To put this as a percentage, you multiply by 100, so the probability is 20%. This means that if you pick a marble out at random, there is a 20% chance that it will be red. This is assuming that after each pick, you put the marble back in the bag, also known as picking 'with replacement'.

Learn more about Probability here:

https://brainly.com/question/32117953

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What is the area of a triangle with a=2, b=7, and c=8?

Answers

Answer:

6.44

Step-by-step explanation:

A=1/  4 divided by﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4 =1/  4· divided by﹣24+2·(2·7)2+2·(2·8)2﹣74+2·(7·8)2﹣84    ≈6.4372

Sorry if it's a little complicated but that's how I learned it

Answer:

c.

6.4 units

Step-by-step explanation:

Mr. Pham mowed 2\7 of his lawn. his son mowed 1\4 of it. Who mowed the most. How much of his lawn still needs to be mowed.

Answers

Answer:

The father did more.

13/28 needs to be mowed which is 0.4643 of the lawn needs to be mowed.

Step-by-step explanation:

The best way to compare the two is to change them to decimals. That will at least answer who mowed the most.

Father: 2/7 = 0.2857

Son: 1/4 = 0.25

Since the father mowed 2/7 of the lawn, he mowed the most.

You can use the decimals to get the second part.

Together they did 0.25 + 0.2857 = 0.5357

The amount of the lawn left is 1 - 0.5357 = 0.4643

================

If you must have this in fractions then

1/4 + 2/7 = 7/28 + 2*4/28 = 7/28 + 8/28 = 15/28

15/28 = 0.5357 which is just what we got above.

Amount left to do = 1- 15/28 = 13/28

13/28 = 0.4643 which is what we got about.

Please help as soon as possible !! Thanks you
There is a right triangle. One leg is (x+3)ft long, the other leg is (x+5)ft long. The area is 24 sq ft. What does x equal? What is the perimeter? Show your work.

Answers

Step-by-step explanation:

[tex]area = \frac{1}{2} (x + 3)(x + 5) = 24 \\ [/tex]

then

[tex](x + 3)(x + 5) = 48[/tex]

[tex] {x}^{2} + 8x + 15 = 48 [/tex]

[tex] {x}^{2} + 8x + 15 - 48 = 0 \\ {x}^{2} + 8x - 33 = 0[/tex]

[tex] {x}^{2} - 3x + 11x - 33 = 0 \\ x(x - 3) + 11(x - 3) = 0 \\ (x - 3)(x + 11) = 0[/tex]

so

[tex]x = 3 \: or \: x = - 11(reject \: because \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x > 0)[/tex]

hence,

[tex]x = 3[/tex]

Thus, one leg is 8 and other leg is 6.

Since it is a right triangle then we have

[tex]hypotenuse = \sqrt{ {8}^{2} + {6}^{2} } = \sqrt{100} = 10[/tex]

Finally,

[tex]perimeter = 8 + 6 + 10 = 24(ft)[/tex]

Other Questions
Annabelle is writing a literary analysis essay. Which of the following points should she keep in mind as she writes?Include personal opinions.Write in the present tense.Use figurative language.Write in third person.Avoid using text citations. what is the equation of the graphed line written in standard form?x-4y=4. x+4y=4. y=1/4x-1. y=-1/4x-1 2. Who was a famous Anti-Federalist? A. John Adams B. Alexander Hamilton C. Thomas Jefferson D. Benjamin Franklin Hello, my teacher asked me to write a paragraph about life. Here's what I got. "You don't know where life will take you." I need help What is the function of the Golgi apparatus? Match the definitions to the terms: Terms: Hypotonic SolutionIsotonic SolutionHypertonic SolutionDiffusionFacilitative DiffusionActive TransportPassive TransportConcentration GradientEquilibriumOsmosisDefinitions: 1.Movement of material across the cell membrane with energy2.The environment outside of the cell has a lower concentration of dissolved material than the inside of the cell. This causes the cell to swell, and it may even burst.3.A difference in the concentration of a substance across a distance4.Movement of material across the cell membrane without energy5.The environment outside of the cell has more dissolved material than inside of the cell. If a cell is placed in a this type of solution, water will leave the cell. This can cause a cell to shrink and shrivel (crenation).6.The movement of particles from regions of higher density to lower density regions7.Diffusion of water across a selectively permeable membrane8.Concentration of a substance is the same throughout a space9.A solution in which the amount of dissolved material is equal both inside and outside of the cell. Water still flows in both directions, but an equal amount enters and leaves the cell.10.The movement of large molecules through a membrane protein channel along the concentration gradient. All of the planets in Earth's solar system must follow the same plane of motion. What's this plane called? A. Plane of the ecliptic B. Plane of spherical motion C. Plane of triangulation D. Plane of orbital rotation Consider a beam of electrons in a vacuum, passing through a very narrow slit of width 2.00m. The electrons then head toward an array of detectors a distance 1.068 m away. These detectors indicate a diffraction pattern, with a broad maximum of electron intensity (i.e., the number of electrons received in a certain area over a certain period of time) with minima of electron intensity on either side, spaced 0.527 cm from the center of the pattern. What is the wavelength of one of the electrons in this beam? Recall that the location of the first intensity minima in a single slit diffraction pattern for light is y=L/a, where L is the distance to the screen (detector) and a is the width of the slit. The derivation of this formula was based entirely upon the wave nature of light, so by de Broglie's hypothesis it will also apply to the case of electron waves. What did Washington territory have to do to become a state What is the concentration of hydrogen ions commonly expressed as Given f(x)=x^2+8x+13. Enter the quadratic function in vertex form in the box f(x)= ___I need help and please show me the work A recipe asks that the following three ingredients be mixed together as follows: add 1/2 of a teaspoon of baking soda, and every 1/4 of a teaspoon of salt. Which of the following rates is a unit rate equivalent to the ratios shown above?A. 1 teaspoon of baking soda per 2 teaspoons of saltB. 1/2 teaspoon of salt per 1 teaspoon of baking sodaC. 2 teaspoons of salt per 1 teaspoon of baking sodaD. 2 teaspoons of salt per 1 cup of flour i have 811 handkerchief in all,and need 25 for one quilt. How many quilts can I make and how many handkerchief will be left over? Cup A and cup B are identical. They contain equal volumes of soup at equal temperatures. Both cups are put in a refrigerator. Cup A has a lid, but cup B does not. Which statement best explains why cup A will cool more slowly than cup B?A. Water vapor wont be able to escape from cup A.B. The most energetic water molecules from cup A will escape more rapidly.C. No molecules will be able to evaporate at the surface of cup B.D. No molecules will be able to evaporate at the surface of cup A. Can someone please describe how food is rearranged through chemical reactions forming new molecules that release energy as this matter moves through an organism. What is counter argument to this assertion Passage 1 School uniforms could alter students attitudes toward their education. If students wear the same clothing each day, they will not have to think about what to wear on a daily basis. In addition, having a uniform could boost students confidence and reduce envy or embarrassment. Conforming to one uniform might also help students fit in more easily. Passage 2 School uniforms have no place in education, especially since we are trying to instill the principles of individuality and diversity in our children. School uniforms destroy students abilities to be themselves. I have seen schools where uniforms are required; the students faces tell the whole story. By enforcing uniforms in school, we are clearly not giving students a choice in what they wear. But when we take away choice, more than just choice is lost. Which statement best compares how the authors develop their arguments? Passage 1 uses a logical approach, while passage 2 contains appeals to emotion. Passage 1 uses an emotional appeal, while passage 2 uses mainly understatement. Passage 1 uses empirical evidence, while passage 2 relies on logical evidence. Passage 1 uses an ad hominem attack, while passage 2 has a bandwagon appeal. What is the area of the cross section that is parallel to side PQRS in this rectangular box? Select the sentence which contains TWO participle phrases. A) Those planning to leave for the weekend will be the ones packing their bags. B) I want to leave for the weekend, but I will have to pack my bags first. Eliminate C) To leave for the weekend, you will need to pack your bags. D) Leaving for the weekend necessitates packing one's bags. Carrie Ambrose has family medical coverage through her employer's group medical plan. The annual cost of Carrie's plan is $14,800. If her employer pays 70% of the cost, how much does Carrie have to pay per year? $5,180$3,700 $$1,150 $4,440 Steam Workshop Downloader