Find the surface area of this triangular prism

Answer:

[tex]m<1=99\°[/tex]

[tex]m<2=81\°[/tex]

[tex]m<3=86\°[/tex]

[tex]m<4=86\°[/tex]

[tex]m<5=86\°[/tex]

[tex]m<6=94\°[/tex]

Step-by-step explanation:

Part 1) Find the measure of angle 1

we know that

[tex]m<1+81\°=180\°[/tex] -----> by supplementary angles

[tex]m<1=180\°-81\°=99\°[/tex]

Part 2) Find the measure of angle 2

we know that

[tex]m<2=81\°[/tex] -----> by alternate exterior angles

Part 3) Find the measure of angle 3

we know that

[tex]m<3=86\°[/tex] -----> by vertical angles

Part 4) Find the measure of angle 4

we know that

[tex]m<4=86\°[/tex] ------> by corresponding angles

Part 5) Find the measure of angle 5

we know that

[tex]m<5=m<4[/tex] -----> by vertical angles

so

[tex]m<5=86\°[/tex]

Part 6) Find the measure of angle 6

we know that

[tex]m<5+m<6=180\°[/tex] -----> by supplementary angles

we have

[tex]m<5=86\°[/tex]

substitute

[tex]86\°+m<6=180\°[/tex]

[tex]m<6=180\°-86\°=94\°[/tex]

3.00936e19 is the answer

Answer:

.5/q+4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

divide the miles by the time

283 divided by 5 is 56.6 which is the greatest so it is the fastest

[tex]3d = \sqrt{d + 5} \: is \: a \: radical \: equation[/tex]

[tex]3d = \sqrt{d+5}[/tex] is a radical equation.

A radical equation is an equation in which a variable is under a radical.

According to the given question.

We have some equation in variables d, n, and h.

If we see the given equation only the equation [tex]3d = \sqrt{d+5}[/tex] is a radical equation because this is a equation in variable d and its variable is under radical sign(√).

And the other equations are not radical equations because no single variable of the given equations is under radical sign(√).

Hence, [tex]3d = \sqrt{d+5}[/tex] is a radical equation.

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it will most likely be red

Red

The simplified ratio is for every 1 blue marble there is 2.75 red marbles. Do you are more likely to pull out red.

Step-by-step explanation:

He has 15 total shirts. 9+6. So P(Dress shirt) is  6/15 or 2/5 or 40 percent.

Answer:

Step-by-step explanation:

[tex]a_{1} = 8\\a_{9} = 360 = a_{1} \cdot r^9 = 8 \cdot r^9\\r = \sqrt[9]{\frac{360}{9} }  \cong 1.53[/tex]

By the formula of a geometric series:

[tex]S_{n} = a \cdot \frac{1-r^n}{1-r} => S_{19} = 8 \cdot \frac{1-1.53^{19}}{1-1.53}  = 6091.54[/tex]

Answer:

r = 1.6

a19 = 37800

Step-by-step explanation:

First term [tex] a_1 = 8 [/tex] and [tex] a_9 = 360 [/tex] of a geometric sequence and we are to find the 19th term along with the common ratio for this sequence.

We know that the general term of a Geometric Sequence is given by:

[tex]a_n= a \cdot r^{n-1}[/tex]

where [tex]a_n[/tex] is the nth term, [tex]a[/tex] is the first term, [tex]n[/tex] is the number of terms and [tex]r[/tex] is the common ratio.

Substituting the given values in the above formula to get:

[tex]360 = (8)*(r)^(9-1)[/tex]

[tex]360 = 8*(r^8)[/tex]

[tex]r^8 = \frac{360}{8}[/tex]

[tex]r^8 = 45[/tex]

r = 1.6

Finding the 19th term:

[tex]a_n= a \cdot r^{n-1}[/tex]

[tex]a_{19}= 8 \cdot 1.6^{19-1}[/tex]

a19 = 37800

1) The sum of an Octagon is 1080°

And all it's sides are congruent (same size, same angle measure)

And an Octagon has 8 sides

So do,

1080 ÷ 8 = 135°

Each side equals to 135°

2) A triangle adds up to 180°.

We have one angle that's 45° and another angle that has a little □ in it.

That little square (□) is called a right angle which = 90°

So do

90 + 45 = 135

180 - 135 = 45

So the value of x is 45°

Answer:

Its the point (3, 2).

Step-by-step explanation:

x^2 + y^2 = 13

2x - y = 4

From  the second equation  y = 2x - 4 so substituting in first equation:

x^2 + (2x - 4)^2 = 13

x^2 + 4x^2 - 16x + 16 = 13

5x^2 - 16x + 3 = 0

(5x - 1 )(x - 3) = 0

x = 0.2, 3.

Substitute x = 3 in the second equation:

2(3) - y = 4

y = 6 - 4 = 2.

Answer:

C

Step-by-step explanation:

If we're assuming the graph is linear, we can see that every 1 x value it goes up, the y value is upped by 4.

6+4=10

So therefore the value of y in (3,y) is 10.

The quadratic formula was made by Muhammad al-khwarizmi.

A quadratic inequality is a function whose degree is 2 and where the y is not always exactly equal to the function. Al Khwarzmi created the quadratic equation but Pythagoras and Euclid created a general procedure to find solutions of the quadratic equation. The Greek mathematician Diophantus solved the quadratic equation in his work Arithmetica,  but giving only one root, even when both roots were positive.

Answer:

The answer is B. 10.5 feet

Step-by-step explanation:

In every one yard there's three feet.

3.5 X 3 = 10.5

Hope this helps :)

Answer:

-q+1(x+8)

Step-by-step explanation:

It is this because (x+8) is the same so you just add the numbers+variables that x+8 is being multiplied.

Hope this helped

Answer:

the third graph

Step-by-step explanation:

put the equation into the app desmos and you'll see where the graph should be

hope this helps!!

Answer:

B

Step-by-step explanation:

For an easier way to see this problem, let's rearrange the given equation in slope-intercept form ([tex]y=mx+b[/tex]):

[tex]-2y=-3x+6[/tex]

[tex]y=\frac{3}{2}x-3[/tex]

We know in slope-intercept form, the [tex]b[/tex] in the equation is the y-intercept. By process of elemination, we can see that the only answer that crosses at [tex](0, -3)[/tex] is answer B.

A. $27.23

B. $ 467.77

Complete Question goes thus

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5½% of the selling price.

A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

Answer:

a. The total commission is $27.28

b. The store will get $468.72 from the sale of the couch

Step-by-step explanation:

a.

Commission can be referred to as the reward given by the company on goods for the employee to sell products in order to make more sales and more money.

Commission is calculated as follows:

Total commission = Total Sales * Commission Percentage

Given

Total Sales = $495

Commission Percentage = 5½%

Substitute in, the above values

Total Commission = $496 * 5½%

Total Commission = $496 * 5.5%

Total Commission = $496 * 0.055

Total Commission = $27.28

Hence, the total commission is calculated as $27.28

b. The amount remitted to the store is calculated as

Amount = Total Sales - Total Commission

Where Total Sales = $496

Total Commission = $27.28

Amount = $496 - $27.28

Amount = $468.72

Hence, the store will get $468.72 from the sale of the couch

Answer:

151

Step-by-step explanation:

The relative frequency of an item is calculated by dividing the item’s frequency by total frequency.

Relative Frequency=f/(∑f)

Since we know the relative frequency of peanut butter flavored treats and total number of treats, we can use both the values to calculate the frequency of peanut butter flavored treats

Putting the value of relative frequency of peanut butter flavored treats and total frequency in the above formula

0.302=  f/500

f=0.302*500

f=151

Answer:

Mean = 2.95

Median = 3

Step-by-step explanation:

The mean of the number of visits of 40 adults to the gym is

[tex]\dfrac{0\cdot 4+1\cdot 3+2\cdot 12+3\cdot 5+4\cdot 8+5\cdot 5+6\cdot 2+7\cdot 1}{40}=\\ \\=\dfrac{3+24+15+32+25+12+7}{40}=\dfrac{118}{40}=2.95[/tex]

The median of the data is the average number between 20th and 21th terms (because 40 is even number, so the middle term is the average between two middle terms).

20th term = 3 visits

21th term = 3 visits

Hence, median is 3 visits

That's correct is C, thanks

Answer:

the answer is C

Step-by-step explanation:

Answer:

The negative counterpart

Step-by-step explanation:

x * -1 = -x

For example, 3 * -1 = -3

Hope this helps.

Product of any integer and -1 is negative/positive integer.

For example:

2 • -1 = -2, but

-2 • -1 = 2.

Answer:

A) 7x + (-2)

B) 2x + (-12)

C) 4x + (-16)

D) 6x - 4

Step-by-step explanation:

A=

(-1) + 4x + 2 + 2x + x

7x + (-1) + 2

7x + (-2)

B=

-8x + 4 + (-3) + 10x

2x + 4 + (-3)

2x + (-12)

C=

(-4) + 1x (Squared) + 3x + 4

(-16) + 1x (Squared) + 3x

(-16) + 1x + 3x

4x + (-16)

D=

2(3x - 2)

(6x - 4)

6x - 4

Answer:

v = -20.48

Step-by-step explanation:

v/4 + 1 = -4.12

v/4 = -5.12

v = -20.48

The volume of the cone is 144π units³

Given,

Radius of cone (r) = 4

Height of cone (h) = 27

The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.

∵ Volume of the cone (V)=1/3πhr²

Substitute the values of h and r,

V = 1/3π(27)(4)²

V = 144π units³

Hence, The volume of the cone is 144π units³

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Add everything up together it equals 6/10 in simplest form it would be 3/5

Answer:

do what you want

Step-by-step explanation:

Answer

Maybe you can ask a good question that can help you?

➷ 8) (10 x 15) / 2 = 75

(this is the area of the whole shape, including the non shaded part)

Now work out the area of the non shaded part:

(6 x 9) / 2 = 27

Subtract this area from the total area:

75 - 27 = 48

The area of the shaded part is 48 square yards

9) Find the area of the whole shape (including the non shaded parts)

13 x 7 = 91

Work out the areas of both non shaded regions:

4 x 3 = 12

2 x 1 = 2

Add these two values together:

12 + 2 = 14

Subtract this value from the total area:

91 - 14 = 77

The area of the shaded part is 77 cm^2

➶ Hope This Helps You!

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Answer:

C

Step-by-step explanation:

A proportional graph is a line. Every line has a slope. The slope is found by subtracting two points as a ratio. The line has points (0,0) and (2,6).

6-0 = 6

2 -0 = 2

The ratio is vertical over horizontal so 6/2 = 3.

The equation is y = 3x.

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Answer:

Step-by-step explanation:

The given graph show a proportional relationship that it's modelled by a linear equation. We can make all the process to calculate the equation that belongs to that behaviour. We just have to find the slope:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}} \\m=\frac{18}{6}=3[/tex]

Using the slope interception formula: [tex]y=mx+b[/tex]

[tex]y=3x+0[/tex]

Because the interception with the vertical axis is null, so the equation would be:

[tex]y=3x[/tex]

Therefore the answer is C.

Answer: OPTION C (119π cm²)

Step-by-step explanation:

Yon can use the following formula for calculate the surface area of a cone:

[tex]SA=rl\pi+r^2\pi[/tex]

Where r is the radius and l is the slant height.

Based on the figure shown attached, you have that:

[tex]r=7cm\\l=10cm[/tex]

Therefore, when you susbtitute these values into the formula shown above, you obtain that the surface area of the cone is:

[tex]SA=(7cm)(10cm)\pi+(7cm)^2\pi=119\pi[/tex]cm²

Answer:

The correct answer option is C. 119[tex]\pi^2[/tex]

Step-by-step explanation:

We are given the radius of the base of the cone and its height and we are to find its surface area.

We know that the surface area of the cone is given by: [tex]\pi rl +\pi r^2[/tex]

Substituting the given values in the above formula to get:

Surface area of cone = [tex] \pi \times 7 \times 10 + \pi \times 7^2 =[/tex] 119

Answer:

I gave you the first step(s) for solving it, now learn. Comment on this if you still don't get it.

Step-by-step explanation:

Solve -2x+7 first

then 5x+4

then 2x-6

Answer:

x= -9

Step-by-step explanation:

-2x+7+5x-4=2x-6

first you need to combined like term

3x + 3         = 2x-6

     -3                 -3

  3x             = 2x-9

  -2x              -2x

    1x             =  -9

     1x is x and x equal -9