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antoniya [11.8K]
2 years ago
15

You are standing 15 feet away from your friend's apartment building and look to see your friend at an angle of elevation of 72º.

How high up is your friend?
Mathematics
1 answer:
Maksim231197 [3]2 years ago
4 0

Answer:

15arctan(72°)

Step-by-step explanation:

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The function f(x) =2(3)^x is to be multiplied by the function g(x) 3(3)^(2x) to create the function h(x). Which function is prod
maria [59]

Answer C is the right answer.

Step-by-step explanation:

h(x) = f(x) * g(x)

h(x) = (2*3^x ) * ( 3*3^2x )

2 * 3 is easy, that will be 6.

The ground number 3 remains 3 in h(x), so that is easy too...

But with multiplying exponents, you can add them.

Let's concentrate only on the exponents of f(x) and g(x)... and add them...

x + 2x =3x

So, now combine the easy part with this new exponent, and you get <u>h(x)</u><u> </u><u>=</u><u> </u><u>6</u><u>*</u><u>(3)^(3x)</u>

<u>So</u><u> </u><u>answer C is the right answer.</u>

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2 years ago
Which of the following is equivalent to<br> (5) 3<br> O 54<br> O 54<br> 05<br> O V5
IrinaK [193]

Answer:

D. \sqrt[3]{5^7}

Step-by-step explanation:

The formula for this conversion is:

a^\frac{x}{n}=\sqrt[n]{a^x}

Substitute the values you currently have.

5^\frac{7}{3}=\sqrt[n]{a^x}

Since we know that

a = 5

x = 7

n = 3

Fill the square root with this.

5^\frac{7}{3}=\sqrt[3]{5^7}

4 0
2 years ago
1. Determine whether the regular hexagon has reflection symmetry, rotation symmetry, both, or neither. If it has reflection symm
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The regular hexagon has both reflection symmetry and rotation symmetry.

Reflection symmetry is present when a figure has one or more lines of symmetry. A regular hexagon has 6 lines of symmetry. It has a 6-fold rotation axis.

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Rotation symmetry is present when a figure can be rotated (less than 360°) and still look the same as before it was rotated. The center of rotation is a point a figure is rotated around such that the rotation symmetry holds. A regular hexagon can be rotated 6 times at an angle of 60°

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3 0
3 years ago
To play a game you spin a spinner like the one shown you win if the arrow lands in one of the areas marked win lee played this g
matrenka [14]
The experimental p=8/48=1/6
6 0
2 years ago
Azmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours
nata0808 [166]

Answer: 2\ \dfrac{7}{12}\ \text{hours}

Step-by-step explanation:

Given

Azmyne decided to study a total of 6\ \frac{1}{2}\ hours

She spent 1\ \frac{1}{4}\ hours on Friday and  2\ \frac{2}{3}\ hours on Saturday

Hours spent on Friday

\Rightarrow 1\ \frac{1}{4}=\frac{5}{4}\ hours

Hours spent on Saturday

\Rightarrow 2\ \frac{2}{3}=\frac{8}{3}\ hours

She must study for

\Rightarrow \dfrac{13}{2}-\dfrac{5}{4}-\dfrac{8}{3}\\\\\Rightarrow \dfrac{13\times6-5\times3-8\times4}{12}=\dfrac{78-15-32}{12}\\\\\Rightarrow \dfrac{31}{12}=2\ \frac{7}{12}\ \text{hours}

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2 years ago
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