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Step2247 [10]
3 years ago
13

francisco needs to know the height of a tree. From a given point on the ground, he finds that the angle of elevation to the top

of the tree is 74.2 degrees. He then moves back 35 feet. From the second point, the angle of elevation to the top of the tree is 51.8 degrees. Find the height of the tree.
Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0

Please see the answer in the image.

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The dimensions of a right prism​
kupik [55]

Answer:

v = 3/2

Step-by-step explanation:

volume = length × width × height

volume = 3/2 × 1/2 × 2

volume = 3/4 × 2

volume = 6/4 = 3/2

5 0
3 years ago
Gunther invested $10,000 in two mutual funds. One of the funds rose 6% in one year and the other rose 9% in one year. If his inv
mote1985 [20]

Answer:

$7200 in the fund rose 6% n $2800 in the fund rose 9%

Step-by-step explanation:

let x be the amount in the fund rose 6%

gain in one year=x*6%=0.06x

total amount is 10000

so amount in the fund rose 9% = 10000-x

gain in one year=(10000-x)*9%=900-0.09x

total gain=0.06x+900-0.09x=900-0.03x

=684

900-684=0.03x

0.03x=216

x=7200

the other fund amount=10000-7200=2800


5 0
3 years ago
Read 2 more answers
Bowser ate 4 1/2 pounds of dog food. That amount is 3/4 of an entire bag of dog food. How many pound of dog food were originally
GalinKa [24]
Divide number of pounds eaten by the portion of the bag eaten.

= 4 1/2 pounds ÷ 3/4
= 4.5 ÷ 0.75
= 6 pound bag

CHECK:
multiply total pounds of bag by portion eaten
= 6 pound bag * 3/4
= 4 1/2 pounds eaten

ANSWER: The bag was 6 pounds of dog food.

Hope this helps! :)
8 0
3 years ago
If f(x)=x-1/3 and g(x)=3x+1, what is (f*g)(x) 3x+1 x-3
crimeas [40]
This is a composite.  Another way to write them is f(g(x)).  Take the function g(x) and stick it in for x in f(x).  Like this: f(g(x))= \frac{(3x+1)-1}{3}.  But we aren't done cuz there's some simplifying there to do.  f(g(x))= \frac{3x}{3} and canceling out the 3's we get just a simple x as our answer.  The choice is the last one above as your answer.
3 0
3 years ago
Read 2 more answers
A media company wants to track the results of his new marketing plan so the video production manager recorded the number of use
konstantin123 [22]

Answer:

f(x)=5120(5)^{x}

Step-by-step explanation:

From the image, f(x) and x are rlated by

f(x)=a( {b})^{x}

where b is the common ratio

We first find the value for b

\frac{6400}{5120}= 5

\frac{8000}{6400}= 5

\frac{10000}{8000} = 5

\frac{12500}{10000} = 5

\frac{15625}{12500}=5

so we can say the common ratio, b=5

we put in any value of f(x) and the corresponding value for x to find a value

Let put x=0 and f(x)=5120

This implies that

5120 = a(5)^{0}

but

5^{0} = 1

Hence a=5120

Thus the equation which model the relationship between the weeks and the viewers is

f(x)=5120(5)^{x}

6 0
3 years ago
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