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3 years ago

Solve each equation. Check your solution. 5/6 x = 5/14 What does x equal?

1 answer:

8 0

5/6x = 5/14
x = 5/14 * 6/5
x = 30/70 reduces to 3/7

check...
5/6(3/7) = 5/14
15/42 = 5/14
5/14 = 5/14 (correct)

so x = 3/7

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Hudson (3 3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40∘ 40 ∘ . The kite strin

ozzi

Answer:

83.35 feet above ground.

Step-by-step explanation:

Please find the attachment.

We have been given that Hudson (3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40 degrees. The kite string is 125 ft long.

We can see that the string of kite forms a right triangle with an angle of elevation (40 degrees) as shown in the attachment.

To solve for h, we will use sine as sine related opposite side of a right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(40^{\circ})=\frac{h}{125}$

$h=125\cdot \text{sin}(40^{\circ})$

$h=125\cdot 0.642787609687$

$h=80.348451210875\approx 80.35$

To find the height of kite off the ground, we will add height of Hudson to 80.35 feet as well as he is flying the kite.

$80.35+3=83.35$

Therefore, the kite is approximately 83.35 feet above ground.

8 0

3 years ago

What is the solution to this equation?<br> 4(4x + 1) = 3x - 46 - x) + 8

timama [110]

Answer:

-3

Step-by-step explanation:

start by opening the brackets 4(4x+1)=(3x-46-x)+8

16x+4=3x-46-x+8 then put like terms together =

16x-3x+x=-46+8-4

14x=-42 divide all over by 14

=-3

3 0

3 years ago

HELP PLEASE???? A walking path across a park is represented by the equation y = –4x + 10. A new path will be built perpendicular

emmainna [20.7K]

I hope it cleared your doubt.

4 0

3 years ago

Are the two figures similar? D 6 15 9 c

Viktor [21]

Answer:

These are similar. The scale factor is 1.5 going from ABC to DEF.

Step-by-step explanation:

What I did was divide the side lengths of DEF by the corresponding side on ABC.

12/8 = 1.5

9/6 = 1.5

15/10 = 1.5

Since the scale factor is the same on all three sides, these two figures are similar.

5 0

3 years ago

Find the solution set of the inequality 7x−10≥16.

xenn [34]

×≥ 26/7 is the answer.

hope it helps!

5 0

4 years ago