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2 years ago

AABC is similar to ADEF. Find x. perimeter of triangle DEF= 60

Mathematics

1 answer:

vovangra [49]2 years ago

5 0

Find AC using Pythagorean theorem
6^2 + 8^2 = AC^2
36 + 64 = AC^2
100 = AC^2
10 = AC

6+8+10 = 24

24/60 = 2/5

10/x = 2/5
50 = 2x
25 = x

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A department store uses a markup of 40%. Calculate the selling price of a shirt that cost the retailer $25.

drek231 [11]

The answer is a. $35. First you multiply 25 by .40. Then you add the product to 25.

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3 years ago

If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A) 32.5° B) 39.2° C) 50.5° D) 57.5°

Ilia_Sergeevich [38]

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = $c^{2}$ = $a^{2} + b^{2}$

a = 7 and b = 11

$a^{2}$ = 49

$b^{2}$ = 121

Plugging in the values, we will get:

$c^{2}$ = 49 + 121

$c^{2}$ = 170

c = $\sqrt{170}$

To calculate the unknown angle B, we can use law of sine.

Law of sine = $\frac{a}{sinA}$ = $\frac{b}{sinB}$ = $\frac{c}{sinC}$

So,

$\frac{c}{sinC}$ = $\frac{b}{sinB}$

$\frac{\sqrt{170} }{sin90}$ = $\frac{11}{sinB}$

Sin90 = 1

sinB = $\frac{11}{\sqrt{170} }$

B = $sin^{-1}$ ( $\frac{11}{\sqrt{170} }$ )

B = 57.5°

8 0

3 years ago

Okay google how many pennies are in $25,000

GalinKa [24]

There are 2,500,000 pennies in $25,000

4 0

3 years ago

I alipou

Norma-Jean [14]

Answer:

After the sales tax

$235

before sales tax

210.32

Step-by-step explanation:

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3 years ago

Slope and rate of changes describe the same value true or false

Anit [1.1K]

Answer:

True

Step-by-step explanation:

“Rate of change” means the same as “slope.” If you are asked to find the rate of change, use the slope formula or make a slope triangle.

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3 years ago