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3 years ago

What is the value of x in this triangle?

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

8 0

Answer:

x = 33.49°

Step-by-step explanation:

The relevant trig ratio is the sine:

Sin = Opposite/Hypotenuse

siin(x) = 32/58

The angle measure is found using the inverse function:

x = arcsin(32/58) ≈ 33.49°

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-8z+(4.5)+3.5z+7y-1.5

bogdanovich [222]

Answer:

$\boxed{\sf{7y+3-4.5z}}$

Step-by-step explanation:

In order to combine like terms, you have to isolate x and y from one side of the equation.

$\sf{-8z+\left(4.5\right)+3.5z+7y-1.5}$

First, thing you do is remove parentheses.

$\Longrightarrow: \sf{-8z+4.5+3.5z+7y-1.5}$

Solve.

Then, you combine like terms.

$\Longrightarrow:\sf{-8z+3.5z+7y+4.5-1.5}$

Add/subtract the numbers from left to right.

-8z+3.5z=-4.5z

Rewrite the problem down.

$\Longrightarrow: \sf{-4.5z+7y+4.5-1.5}$

Solve.

4.5-1.5=3

$\Longrightarrow: \boxed{\sf{7y+3-4.5z}}$

Therefore, the correct answer is 7y+3-4.5z.

I hope this helps, let me know if you have any questions.

6 0

2 years ago

The mean age of 9 women in an office is 27 years old. The mean age of 7 men in an office is 25 years old. What is the mean age (

marta [7]

Answer:

26 years

Step-by-step explanation:

Given:

The mean age of 9 women = 27 years old

The mean age of 7 men = 25 years old

Question asked:

What is the mean age (nearest year) of all the people in the office?

solution:

By using, mean = sum of observations divided by number of entities

The mean age of 9 women = 27 years old

$\frac{sum of ages}{number of women}$ = $27$

$Sum of ages of women = 27 \times9 = 243\\$ $years$

The mean age of 7 men = 25 years old

$\frac{sum of ages}{number of men}$ = $25$

$sum of ages of men = 25 \times7 = 175$

Total sum of ages of men and women in the office = 243 + 175

= 418 years

Total number of people in the office = 9 women + 7 men = 16

The mean age of all the people in the office = Total sum of ages of men and women in the office divided by Total number of people in the office

= $\frac{418}{16} = 26.125$

Therefore, the mean age (nearest year) of all the people in the office = 26 years

6 0

3 years ago

If two circles have the same circumference what do you know about their area

Usimov [2.4K]

If the circumference is half of the perimeter than the area for both circles would be half of them find one circles area and half it

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3 years ago

Eight two-person teams are participating in a three-legged race. Find the number of orders in which all 8 teams can finish the r

PilotLPTM [1.2K]

16 i believe its 16 as the answer to this

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3 years ago

20. Which measurement (with its units) is plotted on the x-axis?

bagirrra123 [75]

Answer: can you put the picture so I can tell you more? The x axis is the horizontal line. It has negatives on the left and positives on the right. Hope this helps!

Step-by-step explanation:

8 0

3 years ago