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3 years ago

8

Find the reference angle of

=" \frac{ - \pi}{7} " alt=" \frac{ - \pi}{7} " align="absmiddle" class="latex-formula">

1 answer:

Semenov [28]3 years ago

3 0

Answer:

π7

Step-by-step explanation:

since is in the first quadrant, the reference angle is π7

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A water tank is 1•2m square and 1•35m deep. It is half full of water. How many times can a 9-litre bucket be filled from the tan

m_a_m_a [10]

Answer:

180

Step-by-step explanation:

Volume = base * height(depth)

V=1.2*1.35=1.62 m³

1 m³=1000 liter

1.62*1000=1620 liter

1620/9=180 ( 9 liter bucket)

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3 years ago

The naturalist views an elephant in the distance, but he doesn’t know how far away the elephant is from him. He takes a view to

andrezito [222]

Answer:

10.11 feet

Step-by-step explanation:

Let H ft be the elephant's height and x ft be the initial distance from naturalist to the elephant.

1. Naturalist takes a view to find the a 22 degree angle of elevation, then

$\tan 22^{\circ}=\dfrac{H}{x}.$

2. Naturalist moves backwards from the elephant pacing off a distance of 27 feet, the distance from naturalist to the elephant becomes (x+27) ft. He takes a second view and determines a new angle of elevation of 11 degrees. Then

$\tan 11^{\circ}=\dfrac{H}{x+27}.$

3. Solve the system of two equations:

$\left\{\begin{array}{l}\tan 22^{\circ}=\dfrac{H}{x}\\\tan 11^{\circ}=\dfrac{H}{x+27}\end{array}\right.\Rightarrow \dfrac{x+27}{x}=\dfrac{\tan 22^{\circ}}{\tan 11^{\circ}}\approx 2.0785,\\ \\ \\x+27=2.0785x,\\ \\1.0785x=27,\\ \\x\approx 25.0347\ ft.$

Then

$H=x\cdot \tan 22^{\circ}\approx 10.11\ ft.$

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3 years ago

Circle O has a circumference of approxim

aev [14]

Answer:

80 ft

Step-by-step explanation:

Circumference is approximately 250 ft

We want to find the diameter.

Circumference of a circle = π × D (D is the diameter)

So πD ≈ 250 ft

D ≈ $\frac{250}{Pi}$ ≈ 79.57747155

Diameter is approximately 80 ft.

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3 years ago

At a restaurant a manger recorded the sales for one of his servers named

TiliK225 [7]

Answer: b. Damarias median sale is $52

Step-by-step explanation:

Hi, the correct option is b. Damarias median sale is $52.

If we rank the sales order from lowest to highest

28 46 48 48 52 52 59 60 71 192

Since 52 is the middle value, it's the median, because 4 sales are above it and 4 sales are below it.

Feel free to ask for more if needed or if you did not understand something.

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3 years ago

How many roots of f(x) are rational numbers?

Mamont248 [21]

Answer:

it should be 2

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3 years ago