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stealth61 [152]
3 years ago
15

GEOMETRY! The diagram shows 5 ft student standing near a tree. The shadow of the student and the shadow of the tree end at point

A. What is the height of the tree? Show all your work, and make sure to include units in your final answer.

Mathematics
1 answer:
yuradex [85]3 years ago
8 0

Answer: 24.99 ft

Step-by-step explanation:

1. You can find the angle A as following:

A=arctan(\frac{5}{8})\\A=32\°

2. Now, you can calculate the height of the tree as following:

tan(A)=\frac{opposite}{adjacent}

Where:

A=32°

opposite=x

adjacent=40

3. When you substitute values and solve for x, you obtain that the height of the tree in feet is:

tan(A)=\frac{x}{40}\\x=40*tan(32\°)\\x=24.99

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The area of this shape is 12.

Area of a triangle = 1/2 x bh

b= base

h = height

So,

1/2 (6)(4)=12

Hope this helps!

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Select all the ratios equivalent to 8:6.<br><br>A. 4:3<br>B. 6:8<br>C. 16:12<br>D. 10:8<br>E. 7:5​
omeli [17]

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

The given ratio can be reduced by removing a factor of 2 from each element.

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It can be put in other forms by multiplying each element by the same factor. Using a factor of 2 on the original ratio values, we get ...

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Any ratio that doesn't reduce to the integer ratio 4 : 3 is not equivalent. The ratio with elements reversed (3:4) is not equivalent.

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3 years ago
Perform the operation and write the result in standard form <br> 3i/3+i+8/3-i
Vera_Pavlovna [14]

2.7 + 1.7i

We require the fractions to have a common denominator.

multiply the numerator of the first fraction by (3 - i) and the numerator of the second fraction by (3 + 1)

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= \frac{9i-3i^2+24+8i}{9-i^2}

[ note that i² = (\sqrt{(-1)^2} = - 1]

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8 0
3 years ago
I need help really bad plz
saw5 [17]

Solving for each variable ----- Let's see :)

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12d = 216

<span>216 ÷ 12 = 18</span>

<span />d = 18

13) This one is a little different, since we have decimals.

71.5 = 5.5u

We still divide 71.5 by 5.5 and see what we get.

<span>71.5 ÷ 5.5 = 13 (A whole number)</span>

<span />u = 13

<span>14) Divide the first fractions numerator by its denominator - Leave out the variable.</span>

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<span>Do the same to the other fraction</span>

<span>5/14 = 22.8</span>

<span>Divide your 2 decimals.</span>

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<span>x = 3.77</span>

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<span>I think you would multiply 44 by 11 because since a fraction means to divide and we have an unknown value we do the opposite.</span>

<span>44 × 11 = 484</span>

<span>484 ÷ 11 = 44</span>

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<span>16) Divide each decimal to get what the value of x is</span>

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<span>17) 53 = r/4</span>

<span>Multiply 53 by 4 to get what r is</span>

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<span>↑   ↑   ↑I hope all of this helped you!</span>

<span>TIP - If you want to check your work, make sure you just switch in the variables with the numbers I gave you! :D</span>

8 0
3 years ago
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