3 years ago

Divide. Write the quotient in lowest terms.

Mathematics

1 answer:

const2013 [10]3 years ago

7 0

Answer:

$\frac{11}{12}$

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3 years ago

The difference between the square of two numbers is 11. Twice the square of the first number increased by the square of the seco

jeyben [28]

Answer:

Below in bold.

Step-by-step explanation:

x^2 - y^2 = 11

2x^2 + y^2 = 97

From the first equation:

y^2 = x^2 - 11

Substituting in the second equation:

2x^2 + x^2 - 11 = 97

3x^2 = 108

x^2 = 36

x = 6, -6.

Substituting for x in the first equation:

(6)^2 - y^2 = 11

y^2 = 36 - 11 = 25

y = 5, -5.

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3 years ago

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pav-90 [236]

Answer:

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Step-by-step explanation:

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ludmilkaskok [199]

Answer:

$\tan(51°) = \frac{10}{x} \\x = \frac{10}{ \tan(51°) } \\ x = \frac{10}{1.235} \\ \boxed{ x = 8.1}$

<h3>★ Value of x is <u>8.1</u>.</h3>

$\sin(51°)= \frac{10}{H} \\ h = \frac{10}{ \sin(51°) } \\ H= \frac{10}{0.777} \\ \boxed{H= 12.8676}$

<h3>★ Value of H is <u>12.8676</u>.</h3>

Remember:

tan∅=Perpendicular/Base
sin∅=Perpendicular/Hypotenuse

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I hope this helps you

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