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Romashka [77]
3 years ago
10

Need to be taught how to do this, thanks​

Mathematics
1 answer:
inn [45]3 years ago
6 0

Answer:

x = 36.27

Step-by-step explanation:

By using the steps to find sin θ backwards, we can find x, the hypotenuse.

sin θ = \frac{opposite}{hypotenuse} or side \frac{a}{c} (as seen in my example picture).

We already know the value for sin (α), which is 32° because its given. The opposite side (a) is 20 and the hypotenuse side (c) is x which are both also given.

So the equation now looks like:

sin 32° = \frac{20}{x}

Don't solve for the sin 32 yet! First, we have to isolate the variable.

To get rid of the x in the denominator you have to multiply both sides by x:

( sin 32 ) · x = ( \frac{20}{x} ) · x

( sin 32 ) x = 20

Then, you have to divide both sides by sin 32 to get x by itself:

(( sin 32 ) x ) ÷ ( sin 32 ) = 20 ÷ ( sin 32 )

x = 20 ÷ ( sin 32 )

Lastly, you have to use a calculator to find 20 ÷ ( sin 32 ), and it should give you 36.2695543766.

The question asks you to round to 2 decimal places so:

x = 36.27

You might be interested in
Solve the system using substitution: y + 8x = 10 and 2y - 4x = 40
exis [7]

Answer:

Hence x = -1 and y = 18

<em></em>

Step-by-step explanation:

Given the system of equations

y + 8x = 10... 1

2y - 4x = 40 ... 2

From 1; y = 10-8x

Substitute into 2;

2(10-8x) - 4x = 40

20 - 16x - 4x = 40

20 - 20x = 40

-20x = 40 - 20

-20x = 20

x = -1

Recall that y = 10-8x

y = 10 - 8(-1)

y = 10 + 8

y = 18

Hence x = -1 and y = 18

<em></em>

4 0
2 years ago
From 85 books to 150
Lostsunrise [7]
I'm not sure what the question is but I think your asking 150-85=65
8 0
3 years ago
What are other questions similar to?:
pentagon [3]
Literally just replace the nine and four with ANY other numbers.
8 0
2 years ago
How many natural numbers are between 45 and 58?
Eddi Din [679]

Answer:

12

Step-by-step explanation:

You could actually list the numbers between (but not including) 45 and 58:

{46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57}.  I count 12 numbers here.

5 0
3 years ago
Read 2 more answers
A NUMBER , TRIPLE THAT NUMBER , AND 12 ARE ADDED THE RESULT IS 32
liraira [26]
If you want to find out what that number is, then let's call it n
n + 3n (Three times the number) + 12 = 32
Simplify
4n + 12 = 32
Subtract 12 from each side
4n = 20
Divide each side by 4
n = 5


8 0
3 years ago
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