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3 years ago

PLS ANSWER QUICK I WILL GIVE BRAINLIEST

Mathematics

1 answer:

NISA [10]3 years ago

8 0

Answer:

Step-by-step explanation:

First, we are decreasing the number so it has to be a decrease.

Next, we divide 7/31 and get around 0.23, which also represents 23 percent.

This only shows that 7 is 23 percent of 31, so we need to find the decrease by seeing the difference of 100 and 23.

We get 100 - 23 = 77, and because it is a decrease we get B.

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Answer:

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Step-by-step explanation:

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Hope that helps :)

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3 years ago

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Right △ABC has its right angle at C, BC=4 , and AC=8 .

PolarNik [594]

Answer:

Part A) $sin(A)=\frac{\sqrt{5}}{5}$

Part B) $tan(B)=2$

Part C) $sec(A)=\frac{\sqrt{5}}{2}$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the length side AB (hypotenuse of the right triangle)

Applying the Pythagorean Theorem

$AB^2=BC^2+AC^2$

substitute the given values

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simplify

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step 2

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we know that

In the right triangle ABC

$sin(A)=\frac{BC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(A)=\frac{4}{4\sqrt{5}}=\frac{\sqrt{5}}{5}$

step 3

Find tan(B)

we know that

$tan(B)=\frac{AC}{BC}$ ----> by TOA (opposite side divided by adjacent side)

substitute the values

$tan(B)=\frac{8}{4}=2$

step 4

Find sec(A)

we know that

$sec(A)=\frac{1}{cos(A)}$

$cos(A)=\frac{AC}{AB}$ ----> by CAH

$sec(A)=\frac{AB}{AC}$

substitute the values

$sec(A)=\frac{4\sqrt{5}}{8}$

simplify

$sec(A)=\frac{\sqrt{5}}{2}$

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