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Ira Lisetskai [31]
3 years ago
5

51. SHORT RESPONSE In the figure below, P is the

Mathematics
1 answer:
OLga [1]3 years ago
5 0

Answer:

112.5 square inches

Step-by-step explanation:

A(\triangle\: APB) =  \frac{1}{2} \:   {r}^{2}  \sin \theta \\  \\  =  \frac{1}{2} \times  {(15)}^{2}  \:  \sin \: 90 \degree \\  \\  =  \frac{1}{2}  \times 225 \times 1 \\  \\  =  \frac{225}{2}  \\  \\  \bold{\purple{  A(\triangle\: APB) = 112.5 \:  {inches}^{2} }}

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Amiraneli [1.4K]
For equations that model direct variation, they are of the form y = kx, where k is the constant of proportionality.

So, for there to be a constant of proportionality of 1/2, the equation should be y = 1/2 x.

This is the same as y = 3/6 x (since 1/2 = 3/6), so the answer is C.
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3 years ago
Which of the following points is NOT a solution of the inequality y ≥ Ixl + 3?
omeli [17]

Hey there!

To solve this, we need to plug each of our answer options into the inequality and see if it is true. Which ever one doesn't make the inequality true when plugged in is the answer.

OPTION A

(x,y)=(-3,0)

We plug our values into the inequality.

0≥ I-3I+3

You may have noticed the bars surrounding the negative three.. If you didn't know, this is called absolute value. Absolute value is how far the number is from 0 on the number line. -7 is 7 away from 0 on a number line, so the absolute value of -7 is 7. The absolute value of 7 is 7. The absolute value of 0 is 0. Absolute value is signified by these bars. Le'ts finish evaluating.

0≥6

As you can see, zero is not greater than or equal to six. So, option A is false.

Since A is not a solution, we already know that that is the answer, so we don't even need to check B and C. But, we can still evaluate them if you want.

OPTION B

6≥I-3I+3

6≥6

This is true.

OPTION C

4≥I0I+3

4≥3

This is also true.

Therefore, the answer is A. (-3,0)

Have a wonderful day!

5 0
3 years ago
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