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stealth61 [152]

2 years ago

8

What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply. Sin(20°)=LN/8.

Cos(70°)=8/LN . Tan(70°)=LN/MN . Sin(20°)=8/LN . Cos(70°)= LN/8

1 answer:

aksik [14]2 years ago

7 0

Answer:sin(20)= LN/8

And COS(70)=LN/8

Step-by-step explanation:

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If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

ElenaW [278]

Answer:

Part 1) $a=-\frac{1}{4c^6}$

Part 2) $a=-\frac{1}{4c^{-6}}$

Step-by-step explanation:

Part 1) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2}c^{-2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{1}{2}c^{-2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}$

therefore

$a=-\frac{1}{4c^6}$

Part 2) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{c^{2}}{2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})$

simplify

$a=-\frac{c^{6}}{4}$

therefore

$a=-\frac{1}{4c^{-6}}$

6 0

2 years ago

Solve the inequality -2/11 j _< 8

quester [9]

Answer:

j ≥ -44

Step-by-step explanation:

-2/11 j ≤ 8

Multiply each side by -11/2 to isolate j. Flip the inequality since we are multiplying by a negative

-11/2 * -11/2 j ≥ 8 * -11/2

j ≥ -44

7 0

2 years ago

Read 2 more answers

Polynomial Functions in context. a. A baseball is struck such that its position on a plane perpendicular to home plate can be de

Brums [2.3K]

The position of the ball when it is at its highest point is 121

<h3>Polynomial function</h3>

Given the polynomial function expressed as y = -1/250(x - 175)^2 + 121,

The velocity of the ball at the maximum point is zero. Hence;

dy/dx = -1/125(x-175)

Equating to zero;

0 = -1/125(x - 175)

x = 175

Substitute into the function to get the maximum height

y = -1/250(175 - 175)^2 + 121,

y = 121

Hence the position of the ball when it is at its highest point is 121

Learn more on polynomial function here: brainly.com/question/2833285

6 0

2 years ago

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krok68 [10]

Answer: x<4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

x+3<7

Step 2: Subtract 3 from both sides.

x+3−3<7−3

x<4

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2 years ago