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3 years ago

Answer ASAP Find the circumference of the given circle (7 inches) use pi (3.14)

Mathematics

1 answer:

Firdavs [7]3 years ago

7 0

Answer:

43.98

Step-by-step explanation:

is 7 inches the radius or the diameter?

if 7 inches is the radius then 43.98 is the answer

if 7 inches is the diameter 21.99 is the answer

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1. Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree.

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Answer:

Part 1)

Bob's mistake was to have used the cosine instead of the sine

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Part 2) The surface area of the pyramid is $288\ cm^{2}$

Step-by-step explanation:

Part 1)

Let

x----> the missing angle

we know that

In the right triangle o the figure

The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle

$sin(x)=\frac{16}{20}$

$x=arcsin(\frac{16}{20})=53.13\°$

Bob's mistake was to have used the cosine instead of the sine

Part 2) we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

$SA=b^{2}+4[\frac{1}{2}(b)(h)]$

where

b is the length side of the square

h is the height of the triangular lateral face

In this problem

$h=b/2$ -------> by an 45° angle

$b=2h$

$sin(45\°)=\frac{h}{6\sqrt{2}}$

$h=6\sqrt{2}(sin(45\°))=6\ cm$

Find the value of b

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