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3 years ago

The sign has a diameter of 30 inches what is the circumference use 3.14 for pie

Mathematics

1 answer:

faust18 [17]3 years ago

8 0

Answer:

94.2 inches.

Step-by-step explanation:

First, I just want to clarify that $\pi$ is actually spelled pi, not pie, like the pie you eat.

Finding the circumference is pretty easy. It is just the diameter times pi.

So if the diameter is 30 inches, and we use 3.14 for pi, then the circumference of the sign would be 94.2 inches.

Hope this helps!

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Aleksandr [31]

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3 years ago

Given that 3^x = 4^y = 12^z, show that z = (xy)/(x+y).

irinina [24]

$3^{x} = 4^{y} = 12^{z}$
$3^{x} = 4^{y} = (4 \cdot 3)^{z}$
$3^{x} = 4^{y} = 4^{z} \cdot 3^{z}$

$\text{Let a } = 3^{x} = 4^{y} = 4^{z} \cdot 3^{z}$
$log_3a = x$
$log_4a = y$
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Using change of base:
$x = \frac{lna}{ln3}$
$y = \frac{lna}{ln4}$
$z = \frac{lna}{ln(4 \cdot 3)}$

$ln3 = \frac{lna}{x}$
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4 years ago

The sum of 5 consecutive integers is 200. What is the fourth number in this sequence.

babunello [35]

STEP-BY-STEP SOLUTION:

Let the smallest integer of the five integers = x

x + x + 1 + x + 2 + x + 3 + x + 4 = 200

5x + 10 = 200

5x = 200 - 10

5x = 190

x = 190 / 5

x = 38

Therefore:

Number no. 4 = x + 3 = 38 + 3 = 41

FINAL ANSWER:

Hence, the fourth number in the sequence is 41.

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3

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anzhelika [568]

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