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Aleonysh [2.5K]
2 years ago
7

An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure. Which of the following is the angle formed by the su

n's rays and the ground?

Mathematics
1 answer:
BabaBlast [244]2 years ago
8 0

Answer:

The angle is 50.2°.

Step-by-step explanation:

The tree and its shadow from a right triangle with the tree being the perpendicular and the shadow being the base as shown in the figure attached.

Therefore the angle θ formed by the sun's rays and the ground is:

\theta = tan^-1(\frac{18}{15} )=\boxed{50.2^o}

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The ratio for 18 girls to 27 boys as a fraction​
Anarel [89]

18:27 = 2/3

18/9 = 2

27/9 = 3

9 is the greatest common factor.

7 0
3 years ago
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Meg has a can that contains 80% of orange juice and the rest water. The can has 1 liter of water.
sammy [17]
<span>x is the total number of liters of orange juice and water combined. 80% of the mixture is pure orange juice which means 20% of it is water. Therefore, x 20/100 = 1 is the equation in single variable that can be used to find x. and 20/100 is 1/5 so there are 5 total liters in all and 5-1 is 4, so there are 4 liters of orange juice in the can. Hope this helps :)</span>
4 0
2 years ago
When graphed, which function has a horizontal asymptote at 4?
galben [10]

Answer:

<em>Correct answer: C. f(x) = 2(3)x + 4</em>

<u><em>(please note we changed the expression of the function to exponential form which we believe is the correct form of the question)</em></u>

Step-by-step explanation:

<u>Horizontal Asymptote</u>

The graph of a function is said to have a horizontal asymptote at y=a if one or both the following limits exist

\lim\limits_{x \rightarrow \infty}f(x)=a

\lim\limits_{x \rightarrow -\infty}f(x)=a

The horizontal asymptotes are horizontal lines to which the function tends when x increases or decreases without limits.

Let's analyze each one of the options provided:

A.  f(x) = 2x -4

\lim\limits_{x \rightarrow \infty}(2x-4)=+\infty

\lim\limits_{x \rightarrow -\infty}(2x-4)=-\infty

No horizontal asymptote

B.  f(x) = -3x + 4

\lim\limits_{x \rightarrow \infty}(-3x+4)=-\infty

\lim\limits_{x \rightarrow -\infty}(-3x+4)=\infty

No horizontal asymptote

C. f(x) = 2\cdot 3^x + 4

\lim\limits_{x \rightarrow \infty}(2\cdot 3^x + 4)=2\cdot 3^\infty + 4=\infty

\lim\limits_{x \rightarrow \infty}(2\cdot 3^x + 4)=2\cdot 3^{-\infty} + 4=0+4=4

This function has a horizontal asymptote at y=4

D. 3\cdot 2^x -4

\lim\limits_{x \rightarrow \infty}(3\cdot 2^x - 4)=3\cdot 2^\infty - 4=\infty

\lim\limits_{x \rightarrow \infty}(3\cdot 2^x- 4)=3\cdot 2^{-\infty} - 4=0-4=-4

This function has a horizontal asymptote at y=-4

Correct answer: C.

8 0
3 years ago
Nikita calculated the volume of the right triangular prism. Her work is shown below.
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It is B. Nikita used the wrong measurements when finding the area of the base. Please give a like. I Promise this is correct and if its not you can yell at me and all that! :)

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Answer:

n

Step-by-step explanation:

233

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