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kumpel [21]
3 years ago
12

A right rectangular prism and a rectangular pyramid have the same base and height. How does the volume of the prism compare with

the volume of the pyramid?
Mathematics
1 answer:
olga_2 [115]3 years ago
8 0
Yeah he go it ..same base and height
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Find the area to the nearesy square foot of the shaded region below, consisting of a square with a circle cut out of it.
frutty [35]

Based on the calculations, the area of the shaded region is equal to 22 square foot.

<h3>How to calculate the area of the shaded region?</h3>

By critically observing the geometric shapes, the area of the shaded region can be calculated by using this formula:

Area of shaded region = Area of square - Area of circle.

<u>Note:</u> The diameter of this circle is equal to the side length of the square because the circumference of this circle lies on the circumference of the square.

Radius = diameter/2 = 10/2 = 5 feet.

For the area of square, we have:

Area of square = S²

Area of square = 10²

Area of square = 100 square foot.

For the area of circle, we have:

Area of circle = πr²

Area of circle = 3.14 × 5²

Area of circle = 78.5 square foot.

Substituting the parameters into the formula, we have;

Area of shaded region = Area of square - Area of circle.

Area of shaded region = 100 - 78.5

Area of shaded region = 21.5 ≈ 22

Area of shaded region = 22 square foot.

Read more on area of circle here: brainly.com/question/2278809

#SPJ1

<h3>Complete Question:</h3>

Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.

4 0
1 year ago
Fatima wants to find the value of sine theta, given cotangent theta = four-sevenths. which identity would be best for fatima to
Olin [163]

By using trigonometric relations, we will find that:

sin(θ) = (√33)/7 = √(33/49)

<h3>How to find the value of the sine?</h3>

Remember that for a right triangle, we have the relations:

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse).

Here we know that:

cos(θ) = 4/7

Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.

opposite cathetus = √(7^2 - 4^2) = √33

Then we can write:

sin(θ) = (√33)/7 = √(33/49)

If you want to learn more about trigonometry.

brainly.com/question/8120556

#SPJ4

3 0
1 year ago
You have $600,000 saved for retirement. Your account earns 5.5% interest. How much, to the nearest dollar, will you be able to p
Nat2105 [25]

9514 1404 393

Answer:

  $4127

Step-by-step explanation:

The amortization formula is good for finding this value.

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where P is the amount invested at rate r for t years.

  A = $600,000(0.055/12)/(1 -(1 +0.055/12)^(-12·20)) = $4127.32

You will be able to withdraw $4127 monthly for 20 years.

3 0
3 years ago
Can it be concluded that if there is a 50% chance of contracting a communicable disease through contact with an infected person,
crimeas [40]

Answer:

No it cannot be concluded.

Step-by-step explanation:

The probability of getting the disease in the first attempt is 50%

The probability of getting the disease in the second attempt is 50%

Thus the probability of getting the disease in either of the turns is 50%+50%=100% (which may seem to be true)

BUT

The probability of not  getting the disease in the first attempt is 50%

The probability of not getting the disease in the second attempt is 50%

Thus the probability of not getting the disease in either of the turns is 50%+50%=100% (which is also true for this case)

Thus the probability of getting the disease in either of the 2 contacts is still 50%

4 0
3 years ago
Determine the domain on which the following is decreasing
Katarina [22]

Answer:

(-∞,4)

Step-by-step explanation:

the value is going down from the right until it reaches the vertex

4 0
3 years ago
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