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Alenkasestr [34]
3 years ago
14

A circle has a circumference of 150 meters. What is the measure of its radius? Round

Mathematics
1 answer:
Rina8888 [55]3 years ago
5 0

Answer:

R = 23.9

Step-by-step explanation:

formula for circles circumfrence is, C = 2*3.14*R

in this one we have to work backwards so we plug wut we have.

150 = 2*  3.14*R

we divide 150 by 2 so it will be

75 = 3.14R

now we divide 75 by pi so wwe get

23.8732414638 = R

Now we round it to nearest tenth

R = 23.9

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-Dominant- [34]
<em>Solve: </em>13^{x} + 2 = 5

Start by isolating the x-variable as much as you can:
13^{x} = 5 - 2 = 3
13^{x} = 3

Now, if we take the log with base 13 of both sides, then the left hand side will cancel out really easily. This is based on the concept of inverse operations. For example, when we take the square of a square root, we get our initial value. This is because the two operations are inverses of each other, and basically undoes each other.

Logarithms and exponentials are the inverse operations of each other. If we want to extrapolate the power of an exponential, we take the logarithmic function of it, and vice versa.

In this case, we are saying what power of '13' will produce us with 13ˣ, and the only answer will be x itself.

log_{13}(13^{x}) = log_{13}(3)
x = log_{13}(3)
3 0
3 years ago
In the triangle below,
defon

Answer: y ≈ 10.6 cm

Step-by-step explanation:

The cosine function relates the adjacent side to the hypotenuse in a right triangle. The side adjacent to the 20° angle is 10 cm.

cos(20°) = (10 cm)/y

y = (10 cm)/cos(20°)

y ≈ 10.6 cm

3 0
2 years ago
What does 2×4+5-3=? Then divide the answer by Five.<br><br>​
Wewaii [24]

Answer:

2

Step-by-step explanation:

2×4+5-3=

8+5-3=10

10/5=2

7 0
3 years ago
7(4x - 2) - 4(2x - 8)
vesna_86 [32]

Answer:

20x + 18

Step-by-step explanation:

We need to use the distributive property, where we essentially take the sum of the product of the outside number with each of the inside terms.

In 7(4x - 2), 7 is the outside number and 4x and -2 are the inside numbers, so:

7(4x - 2) = 7 * 4x + 7 * (-2) = 28x - 14

In 4(2x - 8), 4 is the outside number and 2x and -8 are the inside numbers, so:

4(2x - 8) = 4 * 2x + 4 * (-8) = 8x - 32

Now, we have:

28x - 14 - (8x - 32) = 28x - 14 - 8x + 32 = 20x + 18

The answer is 20x + 18.

6 0
3 years ago
Read 2 more answers
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Natasha2012 [34]

Answer:

x = 1

Step-by-step explanation:

Add 4 from both sides which you add to the zero. Then, combine like terms, 5x - 1x which is 4x. Divide 4 from both sides and it equals 1.

5 0
3 years ago
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