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Juliette [100K]
3 years ago
14

A tree casts a shadow that is 24 feet in length. If the angle of elevation is 30 degrees, which of the following best represents

the height of the tree?
a. 10.7 ft
b. 12.2 ft
c. 9.4 ft
d. 13.9 ft
Mathematics
2 answers:
Phoenix [80]3 years ago
7 0
I agree with the answer above
emmainna [20.7K]3 years ago
4 0

Answer:

The answer is D) 13.9

Step-by-step explanation:

Since the angle of elevation is adjacent to the length of 24, than to find the height you have to use tangent. so you take your calculator in DEGREES mode and enter tan(30) which gives you =0.5773502692... than you would multiply by 24 which gives you the height =13.8564.....

Sorry if I wasn't specific enough, ask if you want more help. I am sure this is the right answer

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What multiples to 42 and adds to -2
solniwko [45]

Answer:

Step-by-step explanation:

xy = 42

x+y = - 2                   Substitute into the top equation

y = -2 - x                   Put in for y

x(-2 - x) = 42             Remove the brackets

-2x - x^2 = 42           Subtract 42 from both sides.

-2x - x^2 - 42 = 0      Put in the more normal order.

-x^2 - 2x - 42 = 0      Multiply by -1

x^2 + 2x + 42 = 0

This cannot be factored. It gives complex roots as it is written. I will give you the answer but I kind of doubt the question is correct.

x1 = - 1 + 6.40i

x2 = -1 - 6.40i

Leave a comment if you have a correction.

4 0
3 years ago
How much will it cost to pour a circular slab 18 ft in diameter by 3 in. For a patio if the concrete costs $40.00 per cubic yard
sasho [114]
A circular concrete slab is a cylinder. Vol = pi%2Ar%5E2%2Ah
in this cylinder:
r = 18%2F2 = 9 ft
h = 3%2F12 = .25 ft
:


Find the volume in cu/ft:
V = pi%2A9%5E2%2A.25
V = 63.61725 cu/ft
:
Change to cubic yds; (1 cu/yd = 27 cu/ft) and multiply by $40:
Cost = 63.61725%2F27 * 40
Cost = $94.25


In practical terms , they may require you to buy 3 cu/yds , which is $120


Yan na po
4 0
2 years ago
20 points
alexira [117]
We have to determine the constant in the equation, which shows how Eric can calculate his profit ( y ). He sells each shirt for $4 and he has total expenses: $100 + $10 = $110. So the equation for profit is: y = 4 x - 100. In this equation y is dependent variable, x is independent variable, 4 is coefficient and - 100 is the constant. A constant is a number ( a quantity that does not vary ). Answer: D ) - 110<span>.</span>
3 0
3 years ago
Read 2 more answers
Solve for t.<br> -t = 9(t-10)<br> pls help
g100num [7]

Step-by-step explanation:

-t = 9(t-10)

-t = 9t - 90

90 = 9t + t

90 = 10t

90 ÷ 10 = t

9 = t

6 0
3 years ago
A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the length of the other two sides.
jekas [21]

Answer:

One of the sides is 6 cm and the other is 8 cm

Step-by-step explanation:

Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:

a + b + hypotenuse = 24

a + b + 10 = 24

a + b = 14

b = 14 - a

So now we can right the Pythagorean theorem as follows:

a^2 + b^2 = hypotenuse^2\\a^2 + (14-a)^2=10^2\\a^2+ 14^2-28\,a+a^2=100\\2\,a^2-28\,a +96=0\\2\,(a^2-14\,a+48)=0\\2\,(a^2-6\,a-8\,a+48)=0\\2(a\,(a-6)-8\,(a-6))=0\\2\,(a-6)\,(a-8)=0

and from this expression in factor form to be zero a must be 6 or a must be 8.

Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)

or a = 8 (and therefore b = 14 - 8 = 6)

7 0
3 years ago
Read 2 more answers
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