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crimeas [40]
3 years ago
12

The surface area of a regular pentagonal pyramid is 125 square yards. The base length is 5 yards. The area of the base is 37.5 s

quare yards. What is the slant height of the pyramid?
Mathematics
1 answer:
forsale [732]3 years ago
3 0

Answer:

<h2>The Slant height of the pyramid is 7 yards.</h2>

Step-by-step explanation:

The total surface area is 125 square yards.

The base area is 37.5 square yards.

Hence, the area of the curved surface is 125 - 37.5 = 87.5 square yards.

According, to the formula, the area of the curved surface is \frac{5}{2} \times bs, where b is the base length and s = slant height.

Here, it is given that b = 5 yards.

Thus, \frac{5\times5\times s}{2} = 87.5\\s = 7.

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Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about th
irina [24]

The coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)

<h3>How to determine the image of point B?</h3>

The complete question is added as an attachment

From the attached image, we have the following coordinate

B = (-2, 4)

When the triangle is rotated by 270 degrees, the rule of rotation is:

(x, y) ⇒ (y, -x)

For point B, we have:

B' = (4, 2)

Hence, the coordinates of the image of point B after the triangle is rotated 270° about the origin is (4, 2)

Read more about rotation at:

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4 0
2 years ago
What is the range of a cosine function?
klemol [59]
The smallest y can be is y = -1. The largest it can be is y = 1. The value of y can be anything in between. The value of y is a real number.

Answer: Choice D) All real numbers between -1 and 1 including -1 and 1

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4 0
3 years ago
At which approximate x-value are these two equations equal? A. 0. 5 B. 0. 8 C. 1. 2 D. 1. 4.
Alinara [238K]

Answer:

What are the two equations?

Step-by-step explanation:

Once u answer that I'll edit this and answer ur question :)

5 0
2 years ago
A triangle has vertices (-1, 2), (3, 1), and (7, 2). What is the approximate perimeter of the triangle? Round your answer to the
larisa86 [58]
Use the distance formula to find the length of the sides, then add them up to find the perimeter.

\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For points in the form of (x1, y1), (x2, y2).

(-1, 2), (3, 1)

\sf d=\sqrt{(3+1)^2+(1-2)^2}

\sf d=\sqrt{(4)^2+(-1)^2}

\sf d=\sqrt{16+1}

\sf d=\sqrt{17}

(3, 1), (7, 2)

\sf d=\sqrt{(7-3)^2+(2-1)^2}

\sf d=\sqrt{(4)^2+(1)^2}

\sf d=\sqrt{16+1}

\sf d=\sqrt{17}

(7, 2), (-1, 2)

\sf d=\sqrt{(-1-7)^2+(2-2)^2}

\sf d=\sqrt{(-8)^2+(0)^2}

\sf d=\sqrt{64+0}

\sf d=\sqrt{64}=8

So the perimeter will be:

\sf 8+\sqrt{17}+\sqrt{17}\approx\boxed{\sf 16.25}
3 0
3 years ago
Triangle xyz has sides xy = 3", yz = 4", and xz = 5". if angle y is a right angle, and side yz is opposite angle x, what is the
Liula [17]
Tan x = 4/3 will be the answer..
7 0
3 years ago
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