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MrRissso [65]
3 years ago
5

The lines graphed below are parallel. The slope of the red line is -4/3. What is the slope of the green line?

Mathematics
1 answer:
Anna35 [415]3 years ago
6 0
-4/3

Parallel lines have the same slope.
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To find the distance AB across a river, a distance BC of 415 m is laid off on one side of the river. It is found that B = 112.2°
sweet-ann [11.9K]

Answer:

AB or the distance across the river is about 171.36 meters.

Step-by-step explanation:

Please refer to the diagram below (not to scale). The area between the two blue lines is the river.

To find AB, we can use the Law of Sines. Recall that:

\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}

BC (or <em>a</em>) is opposite to ∠A and AB (or <em>c</em>) is opposite to ∠C. Thus, we will substitute in these values.

First, find ∠A. The interior angles of a triangle must total 180°. Thus:

m\angle A + m\angle B + m\angle C = 180^\circ

Substitute:

\displaystyle m\angle A + (112.2^\circ) +(18.3^\circ) = 180^\circ

Solve for ∠A:

m\angle A = 49.5^\circ

Substitute BC for <em>a</em>, AB for <em>c</em>, 49.5° for <em>A</em> and 18.3° for <em>C</em> into the Law of Sines. Thus:

\displaystyle \frac{\sin 49.5^\circ}{BC} = \frac{\sin 18.3^\circ}{AB}

Since BC = 415 m:

\displaystyle \frac{\sin 49.5^\circ}{415} = \frac{\sin 18.3^\circ}{AB}

Solve for AB. Cross-multiply:

\displaystyle AB \sin 49.5^\circ = 415\sin 18.3^\circ

And divide:

\displaystyle AB = \frac{415\sin 18.3^\circ}{\sin 49.5^\circ}

Use a calculator. Hence:

AB = 171.3648...\approx 171.36\text{ m}

AB or the distance across the river is about 171.36 meters.

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3 years ago
What is the following states of the pythangorean theorom triangles
Vitek1552 [10]
I don’t know if you were asking for that cause my english is not that good but i hope that i helped you

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2 years ago
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Replace f(x) in the equation with what it equals:

4 \times (-3x - 8)

Distribute 4 to each term in parentheses:

4 \times -3x = -12x
4 \times -8 = -32

-12x - 32

The answer is C.


7 0
3 years ago
Find the value of x (4x-9) (3x+29)
polet [3.4K]

Answer:

12x³+89x²-261x (?)

Step-by-step explanation:

For this equation, I am going to assume you want to find the value of the expression and you're multiplying all the values (since you can't find the value of x with this unless you had an equation).

(x)(4x-9)(3x+29)

(4x²-9x)(3x+29)

12x³+89x²-261x

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3 years ago
How to do improper fractions with 3.8 repeating
vivado [14]
3.88888=3.88888/1=38.8888888

so lets ssay our repeating decimal = a fraction x
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multiply by 10
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divide both sides by 9
x=35/9
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anser is 3.88=3 and 7/9

3 0
3 years ago
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