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LenKa [72]
2 years ago
9

The hypotenuse of a right triangle is 10 feet long the longer leg is 2 feet longer than the shorter leg find the side side of th

e triangle
Mathematics
1 answer:
solmaris [256]2 years ago
7 0

Answer:

square root of 96 or 9.79

Step-by-step explanation:

a2+b2=c2

2square+b2=10square

4+b2=100

(4-4)+b2=(100-4)

b2=square root96 or 9.79

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Find the area and the perimeter of the shaded region
lyudmila [28]

Answer:

area: 41.04 cm² ; perimeter 35.8 cm

Step-by-step explanation:

Perimeter of shaded area = 1/4 perimeter of circle + line AC = ¼ * 3.14 * 2 * 12 + √(12² + 12²) = 18.84 + 12√2 cm = 35.8 cm

Area of Shaded Region = 1/4 area of circle - area of triangle = ¼ * 3.14 * 12² - ½ . 12 * 12

= (¼ * 3.14 - ½) * 12² = 41.04 cm²

8 0
2 years ago
Please tell me the steps to this problem. i will give brainliest
gayaneshka [121]

Option C: -3 is the average rate of change between x=-1 and x=1

Explanation:

The formula to determine the average rate of change is given by

Average rate of change = \frac{y_2-y_1}{x_2-x_1}

We need to find the average rate of change between x=-1 and x=1

Thus, from the table, we have,

x_1=-1 , y_1=5

x_2=1 , y_2=-1

Thus, substituting these values in the formula, we get,

Average rate of change = \frac{-1-5}{1+1}

                                        =\frac{-6}{2}

                                        =-3

Thus, the average rate of change between x=-1 and x=1 is -3.

Hence, Option C is the correct answer.

6 0
2 years ago
A customer bought 7.5 pounds of apples from a local produce market. How many ounces of apples did the customer buy?
jeka94
Now if we have 7.5 pounds of apples first we need to convert 1 pound into ounces.

1 pound = 16 ounces.

Now we know how many ounces are in one pound. So lets take the 16 ounces for 1 pound and multiply by the 7 full pounds of apples. This excluding the 1/2 pound of apples.

7 x 16 = 112
(7 being the weight in pounds of the apples, 16 being 16 ounces in one pound, and 112 is how any ounces are in 7 pounds of apples.)

So now we have the amount of ounces in 7 pounds of apples.
But we are not done. We still have the 1/2 pound of apples. So we take 16 being 1 pound of apples and divide it by 2. 

16 divided by 2 = 8

That 1/2 pound of apples = 8 ounces.

So now we have our 7 pounds of apples in ounces (112) and our 1/2 pound of apples in ounces (8)

So we add these back up in ounces

112 + 8 = 120.

So now we can conclude:

7.5 pounds of apples is 120 ounces

Hope this helps!
Brainliest is always appreciated if you feel its deserved! :)
4 0
2 years ago
Study the fraction model. What does it show?
qaws [65]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Find cosØ if sinØ=-12/13 and tanØ&gt;0.<br><br> A) -5/12<br> B) -5/13<br> C) 12/5<br> D) -13/12
mestny [16]

Answer:

-5/13

Step-by-step explanation:

sin theta = opp / hyp

sin theta = -12 /13

we can find the adj side by using the pythagorean theorem

adj^2 + opp ^2 = hyp^2

adj^2 +(-12)^2 = 13^2

adj^2 +144 =169

adj^2 = 169-144

adj^2 = 25

Taking the square root of each side

adj = ±5

We know that it has to be negative since it is in the third quad

adj = -5

cos theta = adj / hyp

cos theta = -5/13

8 0
3 years ago
Read 2 more answers
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