If 2/3 = x/12, what is the value of x? A)4. B)8. C)18. D)24.

Answers

Answer 1

Answer: B because of what is shown above.

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Solve the equation below

Answers

1/3(12+x) = -8 (6-x)

Distribute the 1/3 and the -8 through their parentheses

4 + 1/3x = -48 + 8x

subtract 4 from each side

1/3x = -52 + 8x

subtract 8x from each side

1/3x - 8x = -52

combine like terms

1/3x - 24/3x = -52
-23/3x = -52

divide each side by -23/3 (multiply the reciprocal of the divisor)

x = -52 × -3/23
x = 156/23

x = 6 18/23 or 6.78

(1/3)(12+x)=(-8)(6-x)
(1/3)*12 + (1/3)*x = -8*6 - (-8)*x
4 + 1/3x = -48 + 8x
1/3x - 8x = -48 - 4
-23/3x = -52
x = 156/23

The mean change for Monday through Friday is -0.01 inch. What is the change in the barometric pressure on Friday? Chart is below.

Answers

Answer:

(-.05 + .09 - .04 - .08 + x)/5 = -.01

(-.08 + x)/5 = -.01

-.08 + x = -.05

x = .03

The change in the barometric pressure on Friday is .03.

Solve the equation sin^2 x=3 cos ^2 x

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Answer:

Step-by-step explanation:

Answer:

Explanation:

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$\bf \textit{Pythagorean Identities} \n\n sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \n\n[-0.35em] \rule{34em}{0.25pt}\n\n sin^2(x)=3cos^2(x)\implies sin^2(x)=3[1-sin^2(x)] \implies sin^2(x)=3-3sin^2(x) \n\n\n sin^2(x)+3sin^2(x)=3\implies 4sin^2(x)=3\implies sin^2(x)=\cfrac{3}{4}$

$\bf sin(x)=\pm\sqrt{\cfrac{3}{4}}\implies sin(x)=\pm\cfrac{√(3)}{√(4)}\implies sin(x)=\pm\cfrac{√(3)}{2} \n\n\n sin^(-1)[sin(x)]=sin^(-1)\left( \pm\cfrac{√(3)}{2} \right)\implies x= \begin{cases} (\pi )/(3)\n\n (2\pi )/(3)\n\n (4\pi )/(3)\n\n (5\pi )/(3) \end{cases}$

that is, on the interval [0, 2π].

Lisa Lilly was the best runner in eighth grade. One day she ran 100m in 40 sec, 200m in 1 and 10 sec, and 200m over low hurdles Olin one and a half minutes. How many more second did it take her to run the 200m over low hurdles then if did to run the 200 m dash?