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kotykmax [81]
3 years ago
12

What is the value of x?

Mathematics
1 answer:
REY [17]3 years ago
5 0

Answer:

The missing side has a length equal to 15\sqrt{3}

Step-by-step explanation:

We need to find the length of the missing side on the right triangle. We were given the length of the hypotenuse, and the opposite cathetus, therefore we can use the sine relation. This is done below:

sin60=\frac{x}{30}\\\frac{\sqrt{3}}{2}=\frac{x}{30}\\x=15\sqrt{3}

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Suppose one batch of cookies requires ⅔ cup of flour. How many batches can be made with 4 cups of flour?
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Read 2 more answers
The point (1,1) is the image under the translation (x,y)-> (x+3,y-3). What is the preimage of this point?
wel

Answer:

(-2,4)

Step-by-step explanation:

\text{pre-image}->\text{image}

(x,y)->(x+3,y-3)

(x,y)->(1,1)

This implies (x+3,y-3)=(1,1).

This means x+3=1 and y-3=1.

Subtract 3 on both sides for first equation: x=1-3=-2.

Add 3 on both sides for the second equation: y=1+3=4.

So the pre-image (x,y) is (-2,4) if the image is (1,1).

Let's check:

(x,y)->(x+3,y-3)

(-2,4)->(-2+3,4-3)

(-2,4)->(1,1)

So the solution has been checked and verified.

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What is the value of the expression w – 4 when w = –17?
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Step-by-step explanation:

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