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Andre45 [30]
3 years ago
12

The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about 22.3 degrees . Ho

w far do riders travel on the lift? Round your answers to the nearest whole number..
Mathematics
1 answer:
ycow [4]3 years ago
3 0

We know an angle and it's opposite side.....we can use the sine to find the rider's travel distance [the hypotenuse]

 

sin (22.3)  = 2600 / hypotenuse         

rearrange:<span> </span>

hypotenuse  = 2600 / sin (22.3)  = about 6582 ft

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Liam makes soap sculptures of sea turtles. Each sculpture weighs 3\8 pounds he ships them in a wooden box that weighs 2 pounds t
wlad13 [49]

Answer:

8 turtles

Step-by-step explanation:

Each of Liam's sea turtle sculpture weighs 3\8 pounds and he ships them in a wooden box that weighs 2 pounds.

The weight of the box filled with the sea turtles is 5 pounds.

This means that the weight of the sea turtles in the wooden box is:

5 - 2 = 3 pounds

To find the number of sea turtles in the box, we simply divide the total weight of the turtles in the box by the weight of each turtle. That is:

\frac{3}{\frac{3}{8} } = 8 turtles

There are 8 turtles in the box.

3 0
3 years ago
What graph shows a function that has a y-intercept of -2 and is decreasing for values of the domain less than -1.
lesya692 [45]

Answer:36

Step-by-step explanation:

36 to the third power

5 0
2 years ago
Find the value of x if ∡A and ∡B are supplementary angles.
Elanso [62]

Answer:

x = 30.5

Step-by-step explanation:

Two angles are supplementary when they add up to 180°.

So we know that:

C + D = 180

Supplanting we get:

(3x-44) + (5x-20) = 180

We add up the X's.

8x-44-20 = 180

8x-64 = 180

Then we send 64 to the other side adding:

8x = 180+64

8x = 180+64

8x = 244

And then the 8 goes dividing:

x = 244 : 8

x = 30.5

3 0
2 years ago
Someone help please
Rzqust [24]

Answer:

A=(b^2)h/2

Step-by-step explanation:

7 0
2 years ago
"a u.S. 1-cent coin (a penny) has a diameter of 19 mm and a thickness of 1.5 mm". Assume the coin is made of pure copper, whose
choli [55]

<u>the question is </u> Calculate the value of the copper in the coin

Step 1

Find the volume of the coin

we know that

the volume of a cylinder is equal to

V=\pi r^{2}h

where

r is the radius of the coin

h is the thickness of the coin

in this problem we have

Diameter=19 mm=1.9 cm

r=D/2------> r=1.9/2=0.95 cm

h=1.5 mm=0.15 cm

substitute the values in the formula

V=\pi*0.95^{2}*0.15=0.425\ cm^{3}

Step 2

<u>Find the mass of copper in the coin</u>

we know that

the density is equal to

Density=mass/volume

Solve for the mass

mass=Density*volume

we have

Density=8.9\ gr/cm^{3}\\Volume=0.425\ cm^{3}

substitute in the formula

mass=8.9*0.425=3.785\ gr

Step 3

<u>Find the cost</u>

we know that

the market price of the copper is $2.15 per pound

1 pound=453.592 grams

convert gram to pounds

3.785 gr=3.785/453.592=0.0083 pounds

0.0083*$2.15=$0.018=$0.02

therefore

<u>the answer is</u>

$0.02

3 0
3 years ago
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