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a_sh-v [17]
3 years ago
10

What is 16-2t = t + 9 + 4t

Mathematics
2 answers:
Semmy [17]3 years ago
6 0

Answer:

t=1

Step-by-step explanation:

16-2t = t + 9 + 4t

Combine like terms

16-2t =  9 + 5t

Add 2t to each side

16 -2t+2t = 9+5t+2t

16 = 9+7t

Subtract 9 from each side

16-9 = 9-9 +7t

7=7t

Divide each side by 7

7/7 = 7t/7

1 =t

Setler [38]3 years ago
3 0

16 - 2t = t + 9 + 4t. Combine like terms by adding t to 4t, by adding 2t to both sides and by subtracting 9 from both sides.

7 = 7t. Divide each side by 7.

1 = t.

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Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyelin
boyakko [2]
<h3>Answer:  24 feet  (Choice D)</h3>

=============================================

Explanation:

Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.

Focus on triangle BCD.

The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.

We know that he's 14 ft off the ground, which explains why AB = CD = 14.

The goal is to find BC = AD = x.

---------------------------

Again, keep your focus on triangle BCD.

We'll use the tangent ratio to say

tan(angle) = opposite/adjacent

tan(B) = CD/BC

tan(30.26) = 14/x

x*tan(30.26) = 14

x = 14/tan(30.26)

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That value is approximate. Make sure your calculator is in degree mode.

That value rounds to 24 feet when rounding to the nearest whole foot.

6 0
3 years ago
A 13?-foot board is cut into two pieces. The longer piece is 7.5 feet longer than the shorter piece. What is the length of each?
chubhunter [2.5K]

Answer:

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Step-by-step explanation:

In order to find this, assume the shorter board is equal to x. Next, we would know that the longer board would be equal to x + 7.5. Using these two assumptions, we can add the lengths together, set equal to 13 and then solve for x.

x + (x + 7.5) = 13

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Answer:

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Now we know that, 1 pound = 16 ounces.

So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.

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