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3 years ago

14

The function f(x) = x2 is shifted up five units. Which of the following function equations represents this translation?

1 answer:

adelina 88 [10]3 years ago

8 0

I think it’s b but i’m not sure

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The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use

k0ka [10]

Answer:

$2489ft^{2}$

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

$A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}$

<h3>Area of each circular section:</h3>

From the figure, we know that $\alpha =2.21 radians$ and the radius is $R=30ft$ . So, the are would be calculated with this formula:

$A_{cs}=\frac{\pi R^{2}\alpha}{360\°}$

Replacing all values:

$A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}$

Remember that $360\°=6.28radians$

Therefore, $A_{cs}=994.5ft^{2}$

Now, the total are of the figure is:

$A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}$

Therefore the area of the symmetrical pool is $2489ft^{2}$

3 0

3 years ago

Solve. −1.2z − 8.2 > −9.7

leonid [27]

<span>−1.2z − 8.2 > −9.7</span>
−1.2z > - 1.5
z < 1.25

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3 years ago

Find the smallest perimeter and the dimensions for a rectangle with an area of 36 in^2

Tpy6a [65]

This is a square with area 36 in^2

So dimensions are 6 * 6 ins and perimeter = 24 ins.

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3 years ago

I ate 4 tacos in 1 day, but I only ate 3 tacos, how many are left?

erik [133]

Answer:

1?

Step-by-step explanation:

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3 years ago

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An art gallery wants to display 4 pieces of art in the front window. If there are 8 pieces to choose from, how many distinct dis

Viktor [21]

Answer:

D-70

Step-by-step explanation:

It is a combination C(8,4)

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3 years ago