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Marizza181 [45]
2 years ago
12

The area of the surface of the trampoline is equal to twice its perimeter. Find the dimensions of the trampoline.

Mathematics
1 answer:
grigory [225]2 years ago
5 0
A = lw
A = (x + 6)4x
A = (x)4x + (6)4x
A = 4x² + 24x
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A. "hope this helps"

Step-by-step explanation:

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2 years ago
Han has 10 cubes, each 5 inches on a side. A) Find the total volume of Han’s cubes. Express your answer as an expression using a
g100num [7]

Answer:

A) Vol_10_cubes  = 2*(5^4) inch^3

B) Area_10_cubes = (2^2)*3*(5^3)  inch^2

Step-by-step explanation:

A)The volume of a cube, as all sides are equal:

Vol_cube = (side)^3

side = 5 inches

Vol_cube  = 5^3 inch^3

Since we have 10 cubes

10 = 2*5

Vol_10_cubes  = 2*(5^4) inch^3

B) A cube has six faces, each with area equal to its squared side

Area_cube = 6*(side)^2

Area_cube = 6*(5)^2  inch^2

Area_10_cubes = 2*5*6*(5)^2  inch^2

Area_10_cubes = (2^2)*3*(5)^3  inch^2

8 0
3 years ago
Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8
vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function f(x)=1/x. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b}  =-1/8

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

\frac{.5b-1}{2b-b^2} =\frac{-1}{8}

Now, cross multiply.

4b-8=b^2-2b

b^2-6b+8=0

Solve for b. Factor using the numbers -4 and -2.

=(b-4)(b-2)=0

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

4 0
2 years ago
Jared and Pedro walk 1 mile in about 15 minutes. They can keep up pace for several hours. About how far they walk in 65 minutes
VladimirAG [237]
<h2><u>Answer:</u></h2>

Jared and Pedro walked a total of <u>4.3 miles</u>

<h2><u>Step-by-step explanation:</u></h2>
  • The equation for distance is <u>speed = distance ÷ time.</u>
  • Rearrange the equation to make distance the subject:

        <em>(multiply both sides by time)</em>

<em>         </em><u>Distance = Speed × Time</u>

  • Convert your numbers into suitable units:

        1 mile ÷ 15 = <u>0.06m/minute</u>

  • Finally, substitute the numbers into the equation and solve:

        Distance = 0.06 × 65 = <u>4.3miles</u> (rounded to the nearest decimal place)

<h2 />

4 0
2 years ago
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