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oksano4ka [1.4K]
3 years ago
9

Solve for x in the triangle. Round your answer to the nearest tenth.

Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0

Answer:

x ≈ 5.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin64° = \frac{opposite}{hypotenuse} = \frac{x}{6} ( multiply both sides by 6 )

6 × sin64° = x , then

x ≈ 5.4 ( to the nearest tenth )

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Answer:

14. x=30, y=15, z=165

15. x=10, y=25

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
2.) What value for c will make the expression a perfect square trinomial?
andre [41]

Answer : \frac{49}{4}

Given expression is x^2 - 7x + c

To make perfect square trinominal we use completing the square method

In completing the square method we add and subtract the half of square of coefficient of middle term

Here coefficient of middle term is -7

Half of -7 is \frac{-7}{2}

Square of \frac{-7}{2} is (\frac{-7}{2})^2 = \frac{49}{4}

So the expression becomes x^2 - 7x +  [tex] \frac{49}{4} that gives perfect square trinomial

Hence , the value of 'c' is \frac{49}{4}


6 0
3 years ago
Read 2 more answers
-10-9-8-7 -6 -5 -4 -3
jek_recluse [69]

Answer:

I think its D

Step-by-step explanation:

The dot starts on -2 and decreases so the answer would = -2 or be less than -2 :)

8 0
3 years ago
What is the solution to this equation?<br> x/-4=8
guapka [62]
X=32

Explanation:
When you change sides, if in the left side you are multiplying, when you transfer it to right side you divide. Same thing should be done for addition subtraction.

So /-4 was division and negative number

When we transfered it, it became positive multiplication number

8 0
3 years ago
If a hose is filling a swimming pool at a rate of 20 liters per minute, how long will it take to fill the 3,600-gallon pool?
Cloud [144]

Answer: the correct answer is 11 hours, 21 seconds and 3738 fractions of a second.

Step-by-step explanation:

An American gallon has 3.78541 liters.

3,600 gallons are 13,627.46 liters since 3,600 gallons * 3.78541 liters per gallon= 13,627.46 liters

We will need 681.3738 minutes to fill the pool since 13,627.46 liters divided by 20 liters per minute = 681.3738 minutes

681.3738 minutes is 11 hours and 21.3738 seconds since 11*60 minutes + 21.3738 minutes = 660 minutes + 21.3738 seconds = 681.3738 or 681.3738 divided by 60 minutes ( 1 hour ) is 11 hours and 21.3738 seconds.

7 0
3 years ago
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