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Mademuasel [1]
3 years ago
15

7. Tom is feet tall. If Tom stands 30 feet from the base of an apple tree looking up at an apple in the tree at an angle of sigh

t of 48°, how far is the apple from the ground?
A. 25.6 feet
B. 27.8 feet
C. 33.2 feet
D. 38.8 feet
Mathematics
1 answer:
8090 [49]3 years ago
5 0

Answer:

D. 38.8 feet.

Step-by-step explanation:

Let the height of the apple be x + 5.5 feet.

Then tan 48 = x / 30

x = 30 tan 48

x = 33.3 feet.

So the height of the apple = 33.3 + 5.5

= 38.8 feet.

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3x-(2x-1)=7x-(3*5x)+(-x+24)
Paraphin [41]

Answer:

\boxed{\boxed{\sf x=\frac{23}{10}}\: \sf or \:\boxed{x=2.3}}

_________________

\boxed{\sf Step\: By\:Step:- }

\sf 3x-\left(2x-1\right)=7x-\left(3\times \:5x\right)+\left(-x+24\right)

<u>Remove the parentheses:</u>

\to\sf 3x-\left(2x-1\right)=7x-3\times \:5x-x+24

<u>Combine like terms:</u>

\sf ^*7x-x=6x

\to\sf 3x-\left(2x-1\right)=6x-3\times \:5x+24

<u>Multiply 3 and 5x = 15x:-</u>

\to\sf 3x-\left(2x-1\right)=6x-15x+24

<u>Combine like terms:</u>

\sf ^*6x-15x=-9x

\to\sf 3x-\left(2x-1\right)=-9x+24

<u>Expand: 3x-(2x-1)= x+1</u>

\to\sf x+1=-9x+24

<u>Subtract 1 from both sides:</u>

\to\sf x+1-1=-9x+24-1

\to\sf x=-9x+23

<u>Add 9x to both sides:</u>

\to\sf x+9x=-9x+23+9x

\to\sf 10x=23

<u>Divide both sides by 10:</u>

\to\sf \cfrac{10x}{10}=\cfrac{23}{10}

\to\sf x=\cfrac{23}{10}

<u>________________________________</u>

3 0
3 years ago
Rae earns $8.40 an hour plus an overtime rate equal to 1(1/2)times her regular pay for each hour worked beyond 40 hours. What ar
Nitella [24]

Answer:

At $8.40 an hour for a 40 hour week the earnings would be $336. With 5 hours overtime the pay would be $12.60 an hour which equals $63 making her earnings a total of $399 for the 45 hour work week. would be Step-by-step explanation:

5 0
3 years ago
If you are paid $5.50/hour for mowing yards, and you take 1 3 3 hours to mow a yard, how much money are you owed
mamaluj [8]
The correct question is
<span>If you are paid $5.50/hour for mowing yards, and you take 3 1/3 hours to mow a yard, how much money are you owed
see the attached figure

we know that
3 1/3 hours-----> (3*3+1)/3----> 10/3 hours
Multiply </span>$5.50/hour by (10/3) hour
so
5.5*10/3----> $18.33

the answer is
$18.33

6 0
3 years ago
(18x3-3x2++x-1)/(x2-4)
Gwar [14]
18x^5-3x^4+x^3-x^2-72x^3+12x^2-4x+4, and then you will combine like terms to be :

18x^5-3x^4-71x^3+11x^2-4x+4
4 0
3 years ago
Read 2 more answers
What is the value of (f*g)(-5)<br> f(x)=2x+1 ; g(x)=x^2
nikitadnepr [17]
F(-5) = 2(-5) + 1 = -9
g(-5) = (-5)^2 = 25

(f*g)(-5) = -9(25) = -225
4 0
3 years ago
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