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mixer [17]
3 years ago
12

If the shaded cross sections of the solids have the same area, which of the following corresponds to the value of a: the side le

ngth of the base of the square prism?
answer choices: 2, 4, √2pi, 4√pi

Please help i'm having trouble with this problem. Thanks :)

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
7 0

Answer:

your answer would be 4\sqrt{\pi}

Step-by-step explanation:

Nikolay [14]3 years ago
6 0

Answer:

4\sqrt{\pi}

Step-by-step explanation:

  • The cross section of a sphere is a circle with area  \pi r^2, where radius is given as 4
  • The cross section of the cube is a square with area  a^2, where a is side length of square

The circle area = the square area. Thus we have:

\pi r^2 = a^2 \\\pi(4)^2=a^2\\16\pi=a^2\\\sqrt{16\pi}=a\\ a=\sqrt{16} \sqrt{\pi} \\a=4\sqrt{\pi}

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4 0
2 years ago
Tori took out A $350,000 loan in order to purchase a house. She has to pay an interest of 5.2% over 35 years. how much interest
Dmitrij [34]

Hello from MrBillDoesMath!


Answer:

Interest paid = $ 1,713,568.73

Monthly p[payment = $4913.25


Discussion:

From the "compound interest formula:

A = final amount

P = Initial amount (Principal)

r = yearly interest rate

n = number of years of accumulation.


In our case,

A = 350000( 1 + .052)^35 =

      350000 (5.90)  =                  (approx)

      $2,063,568.73

Interest =  $2,063,568.73 - 350000 =  $ 1,713,568.73


There are 35 *12 = 420 months in 35 years. So the monthly payment would be   ($2,063,568.73 / 420)  = $4913.25



Thank you,

MrB

5 0
3 years ago
a scale drawing of a building needs to be made using the scale 1 in = 190 ft. how tall will the builging in the scale drawing be
Artist 52 [7]

Answer:

\boxed{\text{3 in}}

Step-by-step explanation:

1 in = 190 ft

x in = 570 ft

We can use ratio and proportion to solve this problem.

\begin{array}{cccl}\dfrac{1}{x} & = & \dfrac{190}{570} & \\\\570 & = & 190x & \text{Mutiplied by lowest common denominator (570x)}\\3 & = & x & \text{Divided each side by 3}\\\end{array}

The building will be \boxed{\textbf{3 in}} tall in the scale drawing.

3 0
3 years ago
Please help me with this question.
Rasek [7]
The answer is 4,000 ft squared because since the sides are 100 ft and 80ft then we need to multiply them which is 8,000 then divide that by 2 since it’s a triangle which is 4,000 ft squared.
6 0
3 years ago
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