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yaroslaw [1]
3 years ago
9

A square base of a pyramid has dimensions 5 yards by 5 yards. The height of one of the triangular faces is 12 yards. How can you

find the surface area of the pyramid?
Mathematics
1 answer:
siniylev [52]3 years ago
7 0

A square pyramid has 4 triangles and the square base.

Calculate the area of one triangle, multiply that by 4 then add the area of the base.

Area of triangle = 1/2 x base x height = 1/2 x 5 x 12 = 30 square yards.

30 x 4 = 120 square yards

Area of base = 5 x 5 = 25 square yards

Total = 120 + 25 = 145 square yards.

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liq [111]

Given:

M is the mid-point of RS

N is the mid-point of ST

MN = 18.4

To find:

The length of RT.

Solution:

The reference image is attached below.

Joining mid-point M and N, we get mid-segment MN.

MN is parallel to RT.

Triangle mid-segment theorem:

If a segments joins the mid point of a two sides of triangle, then the segment is parallel to the third side and is half of that side.

$\Rightarrow MN=\frac{1}{2} RT

Substitute MN = 18.4

$\Rightarrow 18.4 =\frac{1}{2} RT

Multiply by 2 on both sides.

$\Rightarrow 2\times 18.4 =2\times \frac{1}{2} RT

$\Rightarrow 36.8=RT

The length of RT is 36.8.

5 0
3 years ago
PLS answer quick
Stolb23 [73]

The formula to find the volume of the composite solid is: C. V = πr²h + ⅔πr³.

<h3>How to Find the Volume of a Composite Solid?</h3>

The volume of the composite solid in the image given = Volume of cylinder + volume of hemisphere.

Volume of cylinder = πr²h

Volume of hemisphere = ⅔πr³

Therefore, formula to find the volume is: C. V = πr²h + ⅔πr³.

Learn more about volume of composite solid on:

brainly.com/question/23642076

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7 0
2 years ago
Sid goes to the store and buys a shirt for $65. The store has sales tax rate of 5.4%. How much tax will Sid have to pay?
mojhsa [17]

Answer:

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Step-by-step explanation:

We change 5.4% into a decimal which is .054, we then multiply 65 by .054

$65  x  .054 = $3.51

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3 years ago
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We find the positive zero-crossing at x=2, and the slope of the curve at that point to be 8. Thus the line will have slope -1/8 and can be written as
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4 0
3 years ago
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Which of the following is the best definition of a circle?
Leona [35]

Answer:

The set of all points on a plane equidistant to a given point

Step-by-step explanation:

"following"?

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