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2 years ago

7

Please answer this question

1 answer:

Zina [86]2 years ago

4 0

Answer:

$y = 9.1$

Step-by-step explanation:

Use the Law of sines to find y in ∆WXY, given:

m < Y = 106°

m < X = 58°

WY = x = 8

WX = y = ?

Therefore,

$\frac{y}{sin(Y)} = \frac{x}{sin(X)}$

$\frac{y}{sin(106)} = \frac{8}{sin(58)}$

$\frac{y}{0.961} = \frac{8}{0.848}$

$\frac{y}{0.961} = 9.434$

Multiply both sides by 0.961 to solve for y

$\frac{y*0.961}{0.961} = 9.434*0.961$

$y = 9.434*0.961$

$y = 9.1$ (to nearest tenth)

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Brainliest if correct

kvv77 [185]

Answer:

2/13

Step-by-step explanation:

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2 years ago

Read 2 more answers

Rewrite the statement in mathematical notation. (Let y be the distance from the top of the ladder to the floor, x be the distanc

In-s [12.5K]

Answer:

$\frac{dy}{dt}=\frac{6y}{x}\text{ ft per sec}$

Step-by-step explanation:

Let L be the length of the ladder,

Given,

x = the distance from the base of the ladder to the wall, and t be time.

y = distance from the base of the ladder to the wall,

So, by the Pythagoras theorem,

$L^2 = y^2 + x^2$

$\implies L = \sqrt{y^2 + x^2}$ ,

Differentiating with respect to time (t),

$\frac{dL}{dt}=\frac{d}{dt}(\sqrt{x^2 + y^2})$

$=\frac{1}{2\sqrt{x^2 + y^2}}\frac{d}{dt}(x^2 + y^2)$

$=\frac{1}{2\sqrt{x^2 + y^2}}(2x\frac{dx}{dt}+2y\frac{dy}{dt})$

$=\frac{1}{\sqrt{x^2 +y^2}}(x\frac{dx}{dt}+y\frac{dy}{dt})$

Here,

$\frac{dy}{dt}=-6\text{ ft per sec}$

Also, $\frac{dL}{dt} = 0$ ( Ladder length = constant ),

$\implies \frac{1}{\sqrt{x^2 +y^2}}(x(-6)+y\frac{dy}{dt})=0$

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Which is the required notation.

8 0

2 years ago

If the length of JK is 3x and the length of LM is 12x and the length of the entire line JM is 25x , find the length of KL.

Leona [35]

Answer:

10x.

Step-by-step explanation:

It is given that,

JK = 3x

LM = 12x

JM = 25x

Let as consider the line as shown in the below figure.

From the figure it is clear that,

$JK+KL+LM=JM$

$3x+KL+12x=25x$

$KL+15x=25x$

$KL=25x-15x$

$KL=10x$

Therefore, the length of KL is 10x.

6 0

2 years ago

A department store offers free samples of a 2-ounce

Nataly_w [17]

Answer:

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(If there is any more you would like to add to the question I can answer that.)

8 0

2 years ago

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kakasveta [241]

Answer:

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Step-by-step explanation:

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8 0

2 years ago