Max is installing a 12-ft swimming pool slide at a 50° angle of elevation. The bottom of the slide will be 1 foot off the ground and the top of the slide will be fixed to a platform. Find the height of the platform. (round to nearest tenth) A) 9.2 ft B) 10.0 ft C) 10.1 ft D) 10.2 ft

Answer: 5/9 of a mile

Step-by-step explanation:

2/6 + 2/9

3/9 + 2/9

5/9

Answer:

1/500000000000 is the answer

Just simplify and combine like terms to find your answer. You can add the tens to the -5 power, and the 4 and 2 on the top, then divide by the expression on the bottom.

Therefore, the only expression equivalent to this one is B.

Answer:

The answer is 10

Answer:

The answer is 10

Step-by-step explanation:

Answer:

y-2 = -(x-2)

Step-by-step explanation:

To find the slope

m = (y2-y1)/(x2-x1)  where (x1,y1) and (x2,y2) are two points on the line

    = (1-3)/(4-2)

   =-2/2

   =-1

The point slope form is

y-y1 = m(x-x1)  wher m is the slope and (x1,y1) is a point on the line

y-3 = -1(x-2)

y-2 = -(x-2)

Answer:

A. (2x + 5)(2x - 5)

Step-by-step explanation:

Factor out the polynomial given.

(4x² - 25) = (2x - 5)(2x + 5)

Check: Use the FOIL method.

(2x)(2x) = 4x²

(2x)(5) = 10x

(2x)(-5) = -10x

(-5)(5) = -25

Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25

A. (2x + 5)(2x - 5) is your answer

~

So for this, we will be applying the difference of squares rule, which is [tex]x^2-y^2=(x+y)(x-y)[/tex] . In this case:

[tex]\sqrt{4x^2}=2x\\\sqrt{25}=5\\\\4x^2-25=(2x+5)(2x-5)[/tex]

In short, your answer is A. (2x + 5)(2x - 5).

Answer:

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Step-by-step explanation:

t=60 is outside the domain of the function, which is t ∈ [0, 8].

_____

If you take the function and the time at face value, ...

... h(60) = -49920 . . . feet, more than 9.4 miles below ground level*

___

*The deepest hole ever drilled into the Earth is 40,230 feet deep, so this is almost 2 miles deeper.

Answer:

C) 8 seconds

Step-by-step explanation:

Answer:

The integers are, 30 and 31

Step-by-step explanation:

Given the statement: Two consecutive integers have a sum of 61 .

Let x and x+ 1 are the two consecutive integers.

then;

as per the given condition we have;

[tex]x +(x+1) = 61[/tex]

Combine like terms;

[tex]2x+1 = 61[/tex]

Subtract 1 from both sides ;

[tex]2x + 1-1 = 61 -1[/tex]

Simplify:

2x = 60

Divide both sides by 2 we get;

x = 30

and

value of x+1 = 30+1 = 31

Therefore, the integers are, 30 and 31.

Answer:

C. 4/7

Step-by-step explanation:

The scale factor is the ratio of corresponding side lengths (the only ones marked with a length).

... 12/21 = 4·3/(7·3) = 4/7

the set of point M, point N, and all the points between point M and point N

We assume you're interested in a description of line segment MN, the portion of the line containing M and N that has endpoints M and N. That description is found in "Answer:" above.

Other choices:

... all collinear points: describes line MN, not segment MN

... point M and point N: describes two points, not a line segment

... points the same distance from each: describes the line that is the perpendicular bisector of segment MN

Answer:

the set of point M, point N, and all the points between point M and point N

Step-by-step explanation:

Answer:

"Grows by a constant percent."

Step-by-step explanation:

5% of 500 is 25 = 525

5% of 525 is 26.25 = 551.25

5% of 551.25 is 27.56 = 578.81

Please leave a thanks. And can I have Brainliest?

Given zeros -4, -3, and 1, and a y-intercept of -11, the corresponding third-degree polynomial function can be formulated as y = (11/12)(x + 4)(x + 3)(x - 1).

To construct a third-degree polynomial function, we first need to define the polynomial based on its zeros. Given that the zeros are -4, -3, and 1, we can write the polynomial function in the form [y = a(x + 4)(x + 3)(x - 1)], where 'a' is the coefficient that affects the y-intercept. Because the y-intercept is -11, we set the value of y to -11 when x equals 0 to solve for 'a'. Thus the equation becomes [ -11 = a * 4 * 3 * -1], which simplifies to [a = -11/(-12) = 11/12]. Therefore, the polynomial function with the stated properties is [y = (11/12)(x + 4)(x + 3)(x - 1)] .

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The third-degree polynomial with zeros at -4, -3, and 1 and a y-intercept of -11 can be written as P(x) = 0.917(x+4)(x+3)(x-1).

To construct a third-degree polynomial with zeros at -4, -3, and 1, we write the factored form of a polynomial P(x), with the zeros plugged into the factors: P(x) = a(x+4)(x+3)(x-1). The term 'a' is a coefficient that we can find using the provided y-intercept of -11.

Because the y-intercept happens when x = 0, we substitute x = 0 and y = -11 into the polynomial: -11 =a(0+4)(0+3)(0-1). Solving for 'a' gives a = 11/12 or 0.917.

Thus, the resulting third-degree polynomial in lowest terms is P(x) = 0.917(x+4)(x+3)(x-1).

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Answer:

[tex]\frac{7}{10}[/tex]

Step-by-step explanation:

Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter

Lets add all the cut of pieces and subtract it from 2 meters

[tex]\frac{5}{10} +\frac{1}{10}+\frac{7}{10}=\frac{13}{10}[/tex]

Now we subtract 13/10 from 2 meters

[tex]2 - \frac{13}{10}[/tex]

To subtract , make the denominator same

[tex]\frac{2*10}{1*10} - \frac{13}{10}=\frac{20}{10} - \frac{13}{10}=\frac{7}{10}[/tex]

7/10 meter is the remaining piece of ribbon

After adding the lengths of the ribbon pieces Carrie cut (1.3 meters), the remaining ribbon length is calculated by subtracting this from the original length, leaving Carrie with 0.7 meters of ribbon.

Carrie starts with 2 meters of ribbon and cuts off pieces measuring 5/10 meter, 1/10 meter, and 7/10 meter. To find the length of the remaining ribbon, we need to add the lengths of the pieces she has cut and then subtract this total from the original length of the ribbon.

Therefore, the remaining piece of ribbon is 0.7 meters long.

Answer:

the Answer would be 17.     Hope it helped ; )

Step-by-step explanation:

Answer:

The length of a 180° arc of a unit circle is π ≈ 3.14 units.

Step-by-step explanation:

Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to

... (180°/360°) × circumference = (1/2)×circumference

For a unit circle, the circumference is 2π (= π×diameter = 2π×radius). Half that length is π units.

Answer:

A central angle of 180 degrees corresponds to half of the unit circle, and the circumference of the unit circle is 2π units. So, the distance traveled along the unit circle from the point (1, 0) is half of the circumference, which is 1/2 * 2π = π units. Thus, the answer is 3.14 units (approximately).

Answer:

27

Step-by-step explanation:

Choose two outputs that are 3 values apart and find their ratio:

... f(3)/f(0) = 216/8 = 27

Answer:

[tex]13[/tex]

Step-by-step explanation:

The given expression is;

[tex]3x-2[/tex]

We want to evaluate this expression when [tex]x=5[/tex].

This means that, we substitute [tex]5[/tex] wherever we see [tex]x[/tex] in [tex]3x-2[/tex]

The expression will now be

[tex]=3(5)-2[/tex]

This will simplify to be

[tex]=15-2[/tex]

The final result is

[tex]=13[/tex]

The correct answer C.

Answer:

13

Step-by-step explanation:

To solve this problem, we need to use the substitution method - because we are given a value for x and asked to evaluate the expression.

Evaluate 3x - 2; x = 5

1. Substitute 5 in for x in the expression

3(5) - 2

2. Multiply

15 - 2

3. Subtract

13

A. (0,0) is a solution to n=m and to n=4m.

The equations can be solved by any of the usual means. Using substitution, we have ...

... m = n = 4m

... m(4 -1) = 0 . . . . subtract the left side

... m = 0 . . . . . . . . divide by 3

... n = m = 0

The solution is (m, n) = (0, 0).

Answer:

the answer is A, my answer got deleted

A(x) = x(16 -x)

Area is the product of length and width. If the length is x, then the width will be half of the total perimeter less the two sides of length x, (32-2x)/2 = 16-x.

So, the area is ...

... A = length · width

... A(x) = x(16 -x)

_____

If you like, you can expand this to ...

... A(x) = -x² +16x

The area of a rectangular figure is calculated by multiplying the length and the width of the figure. So, the area as a function of x is: [tex]A(x) = x(16 - x)[/tex]

Given that:

[tex]P = 32[/tex] --- the perimeter of the fence

Represent

[tex]x \to[/tex] length

[tex]y \to[/tex] width

The perimeter of a rectangular fence is calculated as:

[tex]Perimeter = 2 \times (Length + Width)[/tex]

So, we have:

[tex]P= 2 \times (x+ y)[/tex]

[tex]32= 2 \times (x+ y)[/tex]

Divide both sides by 2

[tex]16= x+ y[/tex]

Make y the subject

[tex]y = 16 - x[/tex]

The area (A) of the fence is:

[tex]Area = Length \times Width[/tex]

So, we have:

[tex]A = x \times y[/tex]

Substitute [tex]y = 16 - x[/tex]

[tex]A = x \times (16 - x)[/tex]

[tex]A = x(16 - x)[/tex]

So, the area as a function of x is:

[tex]A(x) = x(16 - x)[/tex]

Read more about area and perimeters at:

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Answer:

5 hours

Explanation:

$

6.50

(

3

)

+

$

6.50

x

=

$

52.00

$

19.50

+

$

6.50

x

=

$

52.00

$

6.50

x

=

$

32.50

x

=

5

Glad i could help! Sorry if i came out kinda weird lol

Answer:

Answer:

5 hours

Explanation:

$

6.50

(

3

)

+

$

6.50

x

=

$

52.00

$

19.50

+

$

6.50

x

=

$

52.00

$

6.50

x

=

$

32.50

x

=

5

Glad i could help! Sorry if i came out kinda weird lol

16.0

The mnemonic SOH CAH TOA reminds you of the relationship ...

... Tan = Opposite/Adjacent

... tan(32°) = 10/AC

Multiply by AC and divide by tan(32°) to get ...

... AC = 10/tan(32°) ≈ 16.0033 ≈ 16.0

Answer: it is 117 inches.

Step-by-step explanation:

1 yard= 36 inches

36 times 3= 108

1/4 of 36= 9

36 divided by 4 is 9 so 1/4 of 36 is 9.

108 + 9= 117

Answer:

Option B is correct .i.e., 30 square centimeters

Step-by-step explanation:

We have to find area of ACDE.

From given figure ACDE is made up of two triangles ΔBCD &  ΔABE

So, Area of ACDE = Area of ΔBCD + Area of ΔABE

Area of traingle = [tex]\frac{1}{2}\times Base\times Height[/tex]

⇒ Area of ACDE =  [tex]\frac{1}{2}\times CD\times BF+\frac{1}{2}\times AB\times AE[/tex]

                            = [tex]\frac{1}{2}\times6\times2+\frac{1}{2}\times4\times12[/tex]

                            = [tex]6+2\times12[/tex]

                            = [tex]30\:cm^2[/tex]

Therefore, Option B is correct .i.e., 30 square centimeters

The domain and range is all real numbers.

Answer:

D) Domain: (-∞, ∞)

Range: (-∞, ∞)

Step-by-step explanation:

The domain is the input values, or the x values.

We can put in any x values for this function.

Domain : (-∞, ∞)

The range is the output values or the y values.

We can get any output values for this function

Range: (-∞, ∞)

Answer:

5,41%

Step-by-step explanation:

Remark

It's hard to interpret what % increase means. I'm going to work first with the actual increase and then I'll give the % increase. The answer I give will likely be in your choices, but it could still be incorrect.

Givens

Walking distance from A to B = 10 units down + 10 units east + 10 units down + 10 units east + 10 units down + 10 units east = 60 units.

Swimming distance = 2*sqrt(10^2 + 30^2) = 63.25 units.

Solution

The difference = 63.25 - 60 = 3.25

The % increase = (3.25/60)*100 = 5.41%

Answer:4(5) + 5(4)=40 ...3(5)=15

So 20+20=40 ...15=15

I Say Answer Is 3.   X=5, Y=4

Step-by-step explanation:

Answer: Correct answer is 1st option , 12.3

Step-by-step explanation:

We can find the value of x by calculating the tangent of the angle 39.

We know, that tangent of an angle in a triangle = Perpendicular/Base, corresponding to that angle.

So, tan 39 = 10/x

Again, we know that tan 39 = .81

So, .81 = 10/ x

or, x = 10/.81

or, x = 12.34

So value of x to the nearest tenth = 12.3

Hope thsi helps

Thank you

[tex]35.6\times10^{-4}=35.6\times0.0001=0.00356[/tex]

[tex]a^{-n}=\dfrac{1}{a^n}\\\\10^{-4}=\dfrac{1}{10^4}=\dfrac{1}{10000}=0.0001[/tex]

Final answer:

0.00356.

Explanation:

The question requires us to express the product of a decimal number and a power of ten in standard form. To find 35.6 times 10^-4 in standard form, we can use the rule of multiplying a decimal number by a power of ten. Multiplying by 10^-4 means we move the decimal point four places to the left.

So, 35.6 × 10^-4 becomes 0.00356. This is the number 35.6 shifted four decimal places to the left, as the exponent on the ten is negative, indicating division by ten for each unit of the exponent.

Answer:

r = -189

Step-by-step explanation:

-13 - 8 = r/9

- 21 = r/9

r = 9 * -21

r = -189

Answer:

r = -189

Step-by-step explanation:

-13= r/9 +8

To solve this equation, we will start by subtracting 8 from each side

-13-8 = r/9 +8-8

-21 = r/9

Multiply each side by 9 to isolate r

-21*9 = r

-189 =r