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kotegsom [21]
3 years ago
12

If log, 7 -3 what is the value of x? A. 21 B. 3V7 C. 37 D. 343

Mathematics
1 answer:
gregori [183]3 years ago
4 0

Answer:

B

Step-by-step explanation:

logₓ 7 = 3

x³ = 7

Take cube root both sides

x= \sqrt[3]{7}

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4 years ago
Priya has planted a garden shaped like a right triangle. She knows that one leg of the triangle is 11 meters long and that the a
olga55 [171]

Answer:

She will need 41.22 meters.

Step-by-step explanation:

She knows that one leg of the triangle is 11 meters long and that the angle formed by that leg and the hypotenuse is 50 degrees .

The leg is adjacent to the hypothenuse. We know that the cosine of an angle \theta is given by:

\cos{\theta} = \frac{l}{h}

In which l is the length of the adjacent side and h is the hypothenuse.

Considering that we have \theta = 50, l = 11, we can find the hypothenuse.

Looking at a calculator, the cosine of 50 degrees is 0.6428.

So

0.6428 = \frac{11}{h}

0.6428h = 11

h = \frac{11}{0.6428}

h = 17.11

The other leg:

In a right triangle, with legs l_1 and l_2, and hypothenuse h, the pythagorean theorem states that:

l_1^2 + l_2^2 = h^2

We already have one of the legs and the hypothenuse, so:

11^2 + l^2 = 17.11^2

l^2 = 17.11^2 - 11^2

l = \sqrt{17.11^2 - 11^2}

l = 13.11

How many meters will she need?

This is the perimeter of the garden, which is the sum of its dimensions, of 11 meters, 13.11 meters and 17.11 meters. So

P = 11 + 13.11 + 17.11 = 41.22

She will need 41.22 meters.

4 0
3 years ago
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