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2 years ago

11

A baby's t-shirt requires 5/8 yards of fabric. How many t-shirts can be made from 70 yards?

2 answers:

aniked [119]2 years ago

5 0

112 t-shirts can be made from 70 yards of fabric.

Zielflug [23.3K]2 years ago

3 0

The answer it’s I don’t know

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Please help me!!!!!

Bas_tet [7]

Answer: see proof below

<u>Step-by-step explanation:</u>

Use the Sum & Difference Identity: tan (A - B) = (tanA - tanB)/(1 + tanA tanB)

Use the Half-Angle Identity: tan (A/2) = (1 - cosA)/(sinA)

Use the Unit Circle to evaluate tan (π/4) = 1

Use Pythagorean Identity: cos²A + sin²A = 1

<u>Proof LHS → RHS</u>

$\text{Given:}\qquad \qquad \qquad\dfrac{2\tan\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)}{1+\tan^2\bigg(\dfrac{\pi}{4}-\dfrac{A}{2}\bigg)}$

$\text{Difference Identity:}\qquad \dfrac{2 \bigg( \frac{\tan\frac{\pi}{4}-\tan\frac{A}{2}}{1+\tan\frac{\pi}{4}\cdot \tan\frac{A}{2}}\bigg)}{1+ \bigg( \frac{\tan\frac{\pi}{4}-\tan\frac{A}{2}}{1+\tan\frac{\pi}{4}\cdot \tan\frac{A}{2}}\bigg)^2}$

$\text{Substitute:}\qquad \qquad \dfrac{2 \bigg( \frac{1-\tan\frac{A}{2}}{1+\tan\frac{A}{2}}\bigg)}{1+ \bigg( \frac{1-\tan\frac{A}{2}}{1+\tan\frac{A}{2}}\bigg)^2}$

$\text{Simplify:}\qquad \qquad \qquad \dfrac{1-\tan^2\frac{A}{2}}{1+\tan^2\frac{A}{2}}$

$\text{Half-Angle Identity:}\qquad \quad \dfrac{1-(\frac{1-\cos A}{\sin A})^2}{1+(\frac{1-\cos A}{\sin A})^2}$

$\text{Simplify:}\qquad \qquad \dfrac{\sin^2 A-1+2\cos A-\cos^2 A}{\sin^2 A+1-2\cos A+\cos^2 A}$

$\text{Pythagorean Identity:}\qquad \qquad \dfrac{1-\cos^2 A-1+2\cos A}{2-2\cos A}$

$\text{Simplify:}\qquad \qquad \qquad \dfrac{2\cos A-2\cos^2 A}{2(1-\cos A)}\\\\.\qquad \qquad \qquad \qquad =\dfrac{2\cos A(1-\cos A)}{2(1-\cos A)}$

= cos A

LHS = RHS: cos A = cos A $\checkmark$

4 0

3 years ago

Solve the proportion. <br> 16<br> 50<br> =<br> x<br> 156<br> .<br> 25<br> please explain

Natali5045456 [20]

<h2><u>Answer:</u></h2>

x = 50

<h2><u>Step-by-step explanation:</u></h2>

16/50 = x/156.25

<h3>First simplify 16/50 to 8/25</h3>

8/25=x/156.25

<h3>Multiply both sides by 156.25</h3>

1250/25 = x

<h3>Simplify 1250/25 to 50</h3>

50 = x

<h3></h3>

4 0

3 years ago

After a 90% reduction, you purchase a new clothes dryer on sale for $62. What was the original price of the clothes dryer?

vekshin1

Answer:

$7.20

Step-by-step explanation:

First, we would have to find out how much to subtract from $62.

We need to multiply 90% and 62 or 0.9 x 62

When we finish this equation we get 54.8, which is what we need to subtract from 62 to see what 90% off is.

62 - 54.8 = 7.2, so therefore our answer is $7.20

4 0

2 years ago

rosijanka [135]

Answer:

y = 42

Step-by-step explanation:

18 - y = -24

18 + 24 - y = 0

18 + 24 = y

18 + 24 = 42

i think

7 0

2 years ago

Help pls giving BRAINLIEST!!!

finlep [7]

$3 \sqrt{3}$

please mark me as brainlist

5 0

3 years ago