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kogti [31]
2 years ago
12

Elijah calculated the area of a circle to be 900π units². Which of the following was the radius of the circle?

Mathematics
1 answer:
scZoUnD [109]2 years ago
7 0

Answer: A. 30

Step-by-step explanation:

The formula for the area of a circle is pi*r^2, where r is the radius of the circle.

900pi = pi*r^2

Divide both sides by pi.

900 = r^2

Square root both sides.

r = +/- 30.

Since the radius cannot be negative, the answer is 30 units.

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What is the value of (-14^0)^-2?
posledela

Answer:

The value of given expression is 1.

Step-by-step explanation:

The given expression is

(-14^0)^{-2}

If a is a real number, then a^0=1.

(-1)^{-2}                 [\because a^0=1]

Using exponent property we get,

(-1)^{-2}=\frac{1}{(-1)^2}                    [\because a^{-n}=\frac{1}{a^n}]

(-1)^{-2}=\frac{1}{1}

(-1)^{-2}=1

Therefore the value of given expression is 1.

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3 years ago
Help me pls. Given the slope is 1/3, the y-intercept is 4, and a point of the graph is (3,5). Write the equations of the linear
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Y=1/3x+4? Is that what you need?
6 0
3 years ago
What is the center and radius of the circle?
riadik2000 [5.3K]

Answer:

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Step-by-step explanation:

4 0
2 years ago
One year ago, Joan was five times as old as her pony. In one year's time, the sum of the ages will be 22. How old is Joan now?​
iogann1982 [59]

Answer:

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Step-by-step explanation:

4 0
2 years ago
A drink is made by mixing pineapple juice , orange juice and line juice in the ratio 2:7:3 Sally makes 600ml of the drink
Tresset [83]
Sally has 600 ml of drink
Karen has 600 ml of lime juice

When it is mixed at a ratio of 2:7:3 . . .pineapple:orange:lime (respectively) . . this means . . . there are a total of 2 + 7 + 3 parts = 12 parts . . and each part individually is as follows:

pineapple = 2/12
orange = 7/12
lime = 3/12

Sally has 12 parts = 600 ml of drink
 . . pineapple = 2/12*600ml = 100 ml pineapple
 . . orange = 7/12*600ml = 350 ml orange
 . . lime = 3/12*600ml = 150 ml lime

We know Karen has 600 ml of lime juice and if that is 3/12 of the total, then 600*12/3 = the total drink = 2400 ml of drink

Karen has 12 parts = 2400 ml of drink
 . . pineapple = 2/12*2400ml = 400 ml pineapple
 . . orange = 7/12*2400ml = 1400 ml orange
 . . lime = 3/12*2400ml = 150 ml lime


Thus . . . (for Karen) . . .
<u><em>A = 2400 ml of drink</em></u>
<u><em>B = 400 ml of orange juice</em></u>
<u><em>C = 1400 ml of pineapple juice</em></u>




5 0
3 years ago
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