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2 years ago

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Caleb strung a 12 foot rope from the bottom of one fence post to the top of another. He measured the angle of elevation of the r

ope as 35°. What is the distance between the two fence posts?

1 answer:

OLEGan [10]2 years ago

5 0

The answer for this question is b because the angle of elevation of the rope as 35°

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Yo! Solving linear equations with integers! These are just some practice exercises I need help with! So they should probably be

drek231 [11]

Answer:

Step-by-step explanation:

<h3>Solving linear equation with one variable:</h3>

1) -4 + 3x = 4x - 8

Add 4 to both sides

-4 + 3x + 4 = 4x - 8 + 4

3x = 4x - 4

Subtract 4x from both sides,

3x - 4x = -4x + 4x - 4

-x = -4

$\sf \boxed{\bf x = 4}$

2) -5x - 8 = 2

Add 8 to both sides

-5x - 8 + 8 = 2 + 8

-5x = 10

Divide both sides by (-5)

$\sf \dfrac{-5}{-5}x =\dfrac{10}{-5}$

$\sf \boxed{\bf x = -2}$

3) 12r - 14 = 5(2-r)

12r - 14 = 5*2 - 5*r

12r - 14 = 10 - 5r

Add 14 to both sides

12r - 14 + 14 = 10 - 5r + 14

12r = 24 - 5r

Add 5r to both sides

12r + 5r = 24

17r = 24

Divide both sides by 17

r = 24/17

4) 3x - 8 = -(17 + 2x)

3x - 8 = -17 - 2x

Add 8 to both sides

3x - 8 + 8 = -17 - 2x + 8

3x = -9 - 2x

Add 2x to both sides

3x + 2x = -9

5x = -9

Divide both sides by 5

$\sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}$

3 0

2 years ago

Read 2 more answers

The dance team traveled to a competition and traveled in two vans. The first van transported 2 adults and 5 students and cost $7

Shtirlitz [24]

Answer: $9

Step-by-step explanation:

Let the cost for adults be a

Let the cost for students be b.

The first van transported 2 adults and 5 students and cost $77. This will be:

2a + 5b = $77

The second van transported 2 adults and 7 students and cost $95. This will be:

2a + 7b = $95

2a + 5b = 77 ...... equation i

2a + 7b = 95 ........ equation ii

Subtract equation ii from I

-2b = -18

b = 18/2

b = $9

An student cost $9

Put the value of b into equation i

2a + 5b = 77

2a + 5(9) = 77

2a + 45 = 77

2a = 77 - 45

2a = 32

a = 32/2

a = 16

An adult costs $16

5 0

3 years ago

[(21 + 5) ÷ 2] + 7 • (8 - 3) equals

kow [346]

[(21 + 5) ÷ 2] + 7 × (8 - 3)
[26 ÷ 2] + 7 × (8 - 3)
13 + 7 × (8 - 3)
13 + 7 × 5
13 + 35
48

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3 years ago

3x-4=5<br><br> Solve the equation above

SVEN [57.7K]

Answer:

The answer is x = 3

Explanation step by step

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3 years ago

Am I correct?<br><br> Which graph represents the line y= 1/5x

lara31 [8.8K]

Yes. Slope = rise over run so you go up one, over five

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2 years ago

Read 2 more answers