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3 years ago

12

Mr. Richards purchased 8 T-shirts for the volleyball team. The total cost of the T-shirts was $70.56. How much did each shirt co

st?

1 answer:

bezimeni [28]3 years ago

7 0

Answer:

$8.82

Step-by-step explanation:

$70.56÷8 =$8.82 total

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If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.

Natasha_Volkova [10]

The correct answers are:
1) sin(x) = $\frac{ \sqrt{3} }{2}$
2) tan(x) = $\sqrt{3}$

Explanation:
Given:
$cos(x) = \frac{1}{2}$

Step 1:
Since, according to the Trigonometric identity:
$sin^2(x) + cos^2(x) = 1$ -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
$sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x) = \frac{3}{4}$

Step 3:
Take square-root on both sides:
$\sqrt{sin^2(x)} = \sqrt{\frac{3}{4}}$

sin(x) = $\frac{ \sqrt{3} }{2}$

Now to find the tan(x), we would use the following formula:

tan(x) = $\frac{sin(x)}{cos(x)}$ --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = $\frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }$

Hence tan(x) = $\sqrt{3}$

6 0

3 years ago

Read 2 more answers

Tara has 3/4 cup of ice cream. How many 1/5 -cup servings are in 3/4 cup of ice cream?

saw5 [17]

Answer:

4/15

Step-by-step explanation:

because 1/5÷3/4=4/15

8 0

3 years ago

Abigail is 8 years older than Cynthia. Twenty years ago Abigail was three times as old as Cynthia. How old is each now?

irina [24]

A - age of Abigail
C - age of Cynthia

A = C + 8

A - 20 = 3 (C - 20)

A - 20 = 3C - 60

C + 8 - 20 = 3C - 60

C - 12 = 3C - 60 A = C + 8

2C = 48 A = 24 + 8

C = 24 years A = 32 years

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3 years ago

Read 2 more answers

* 1. Name a point on line n. 2. Name a segment on line m. 3. Name a ray with endpoint C. 4. Name three collinear points.

BlackZzzverrR [31]

Answer:

1. D

2. AE (with a line above the 2 letters)

3. AC (with an arrowpointing to the right above the 2 letters)

4. B, A, and C

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3 years ago

What is the value of x in the solution

krok68 [10]

Answer:

$x =\dfrac 47$

Step-by-step explanation:

$~~~~~9x-1 = 2x+3\\\\\implies 9x -2x = 3+1\\\\\implies 7x = 4\\\\\implies x =\dfrac 47$

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2 years ago