2 years ago

Angles A and B are complementary. If sin A = 4x + 10 and cos B = 2x + 16, what is the value of x? (

Mathematics

1 answer:

Aleks04 [339]2 years ago

5 0

Answer:

x is 10.66

Step-by-step explanation:

What are complementary angles?

They are angles that up to 90

So we have Sin A and Cos B

4x + 10+ 2x + 16= 90

collect like terms

6x+ 26= 90

6x= 90-26

6x= 64

x= 64/6

x= 10.66

Hence the value of x is 10.66

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The length of chen’s office is 15.5 feet and the width is 7.8 feet find of the office

Dafna11 [192]

Answer:

The area of Chen's office (if that's what you're looking for) is 120.9 feet

Step-by-step explanation:

All I did was a = lw, the formula for finding the area of something using length and width

a = lw

a = 15.5 × 7.8

a = 120.9

Hope this helped.

4 0

3 years ago

Solve for x round to the nearest tenth. Show steps!

Dvinal [7]

Answer:

$\large\boxed{x\approx56.44}$

$\large\text{It's close to 55.0}$

Step-by-step explanation:

$\tan12^o\approx0.2126\\\\\tan12^o=\dfrac{12}{x}\to\dfrac{12}{x}=0.2126\qquad\text{convert the decimal to the fraction}\\\\\dfrac{12}{x}=\dfrac{2126}{10000}\qquad\text{cross multiply}\\\\2126x=120000\qquad\text{divide both sides by 2126}\\\\x=\dfrac{120000}{2126}\\\\x\approx56.44$