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liberstina [14]
3 years ago
7

Name an arc longer than a semicircle for circle O

Mathematics
1 answer:
Alchen [17]3 years ago
4 0

One arc that is longer than a semicirle is arc RPN which is the same as arc NPR. You list 3 points along the arc. The first letter is where the arc starts, the middle letter tells you which direction to go along the circle, and the third letter tells you where the arc stops. We can reverse directions (RPN --> NPR) and describe the same exact arc. The order doesn't matter.

Note: A semicircle arc is one where the endpoints of the arc are along a diameter. For example, arc MPN is a semicircle since points M and N are on the diameter semgnet MN. The arc RPN is compose of arc MPN and minor arc RM.

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Find the value of x in the isosceles triangle shown below.
dybincka [34]

Answer:

x=8

Step-by-step explanation:

This isosceles triangle is composed of two right triangles with sides 8,\sqrt{80} , and y

As we have two sides of a right triangle, we can find the third using the Pythagorean Theorem

(\sqrt{80} )^2=8^2+y^2\\\\80=64+y^2\\\\y^2=16\\\\y=4

As this is an isosceles triangle, these two right triangles are equal, this means that x=2y

Therefore, x=2(4)=8

8 0
3 years ago
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What is the answer to #1-9, 12 points
Kruka [31]
1) 3/40
2) 13/22
3) -1/4
4)5/12
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4 0
4 years ago
The expression 210,000\left(1.02\right)^x210,000(1.02)
Bad White [126]

Answer:

The house is increasing in value by 2% each year.

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\frac{1.02-1}{1} *100 = 2\%

Step-by-step explanation:

For this case if we have this expression

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We have the same functional forma like the exponential model given by:

y = a b^x

Where a = 210000 represent the constant or initial value and b = 1.02 represent the base.

So let's analyze the possible options:

The house has a starting value of 1.02.

False the starting value for this case is 210000 since if x=0 then we see that the value is 210000

The house is decreasing in value by 2% each year.

False the increase is 1.02 each year so then in % we have

\frac{1.02-1}{1} *100 = 2\%

We  have an increase of 2% each year

The house is increasing in value by 2% each year.

Correct the increase is 1.02 per year the value of b>0 and the percentage of increase each year is:

\frac{1.02-1}{1} *100 = 2\%

The value of the house is changing by 0.02% each year.

False the increase is 2% per year

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3 years ago
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Step-by-step explanation:

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The perimeter of sasquare is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot what is
ElenaW [278]
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