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Marysya12 [62]
3 years ago
14

The trapezoid in the figure has equal nonparallel sides. The upper base is 6, the lower base is 16, and the diagonal is 12. What

is the altitude of the trapezoid?
A. 7.9
B. 4.8
C. 5.7
D. 8.4

Mathematics
1 answer:
____ [38]3 years ago
5 0

To find this I would use the pythagorean theorem which is:

a^2 + b^2 = c^2

Since we already know c = hypotenuse, and a side of the shorter sides we can plug them it like this:

11^2 + b^2 = 12^2

121 + b^2 = 144

b^2 = 23

√23 = 4.79

Round:

B. 4.8 would be your answer!

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Surface area of the square pyramid = 217.8 in²

Solution:

Side length of the square = 9 in

Area of the square = side × side

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Area of the square = 81 in²

Perimeter of the base = 4 × 9 in = 36 in

Slant height of the triangle = 7.6 in

Surface area of the square pyramid

                            $=\frac{1}{2} \times \text{Perimeter} \times \text{Slant height} + \text{Base area}

                            $=\frac{1}{2}\times  36\times 7.6+81

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                            = 217.8 in²

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3 years ago
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Alona [7]

B.1440

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7 0
3 years ago
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5/12 greater than 1/4
katrin [286]
1/4 = 3/12

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A circular plate has circumference 32 inches. What is the area of this​ plate? Use 3.14 for pi. The area of this plate is about
Novosadov [1.4K]

Answer:

A = 82.53 in²

Step-by-step explanation:

We use the circumference equation C = 2πr and the area equation A = πr².

Using the first equation and the given circumference (32 in), we find the radius of the circle, and then use this result to find the area of the circle.

         

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C = 2πr becomes r = ----------- and here r = ---------- = 5.10 in

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Then the area of the circle is A = πr², which here is A = 3.14(5.10 in)², which, when rounded off to two decimal places, is A = 82.53 in²

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