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xenn [34]
2 years ago
10

PLEASE HELP ME WITH THIS!!

Mathematics
1 answer:
NeX [460]2 years ago
5 0
<h3>Answer: Choice D.  (6,12)</h3>

Explanation:

The translation (x,y) \to (x+1,y-1) tells us to add 1 to the x coordinate and subtract 1 from the y coordinate.

For point R(1,5) we'll arrive at R'(2,4) after applying that translation or shifting mentioned. We have moved the point 1 unit to the right and 1 unit down.

Now apply the dilation with a scale factor of 3, centered at the origin. Basically it means we triple each coordinate. We'll go from R'(2,4) to R''(6,12)

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Write the numerical expression for the product of 8 and the sum of 9 and 11.3. Then evaluate it.
Klio2033 [76]

Answer:

162.4

Step-by-step explanation:

To write the numerical expression for the product of 8 and the sum of 9 and 11.3 we need to follow these steps:

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The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.
taurus [48]

Answer:

A\approx 28^{\circ}

Step-by-step explanation:

Please find the attachment.  

We have been given that area of triangle ABC is 3√2 square inches.

\text{Area}=\frac{1}{2}\text{Base}\times \text{height}

We know that area of triangle an be found using trigonometry as:

\text{Area}=\frac{1}{2}\times c\times h

\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)

3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)

3\sqrt{2}=9\cdot \text{sin}(A)

9\cdot \text{sin}(A)=3\sqrt{2}

\text{sin}(A)=\frac{3\sqrt{2}}{9}

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Now, we will use inverse sine to find the value of angle A as:

A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})

A=28.1255057^{\circ}

A\approx 28^{\circ}

Therefore, the measure of angle A is approximately 28 degrees.

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