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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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Elodia [21]

Answer:

The Answer is (A)

Step-by-step explanation:

A sample of each symbol (point, line, or area), and a short description of what the symbol means

6 0
2 years ago
How do you solve this inequality; 1/3x&gt;-2?
Kisachek [45]
1/3x>-2=1>3x.-2
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4 0
3 years ago
What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi
Sphinxa [80]

Answer:

15,000\:\mathrm{mm^3}

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by V=s^2\cdot h, where s is the base length and h is the height. Substituting given values, we have: V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}

The volume of a trapezoidal prism is given by V=\frac{b_1+b_2}{2}\cdot l\cdot h, where b_1 and b_2 are bases of the trapezoid, l is the length of the height of the trapezoid and h is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (\frac{b_1+b_2}{2}) multiplied by the trapezoid's height (l).

Substituting given values, we get:

V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}

Therefore, the total volume of the composite figure is 5,880+9,120=\boxed{15,000\:\mathrm{mm^3}} (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark

8 0
2 years ago
ABCD is a parallelogram. What is the measure of ∠ACD?
Igoryamba

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

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so, x = 9

now,

here,

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or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

8 0
2 years ago
Width = (b - a)/n = (8 - 0)/4 = 2
Nookie1986 [14]
Yes, I'm getting C also!

Since it's asking for the left-endpoint Riemann Sum, you will only be using the top left point as the height for each of your four boxes, making -1, -2.5, -1.5, and -0.5 your heights. The bases are all the same length of 2. You don't include f(8) because you're not using right-endpoints, and that would also add another 5th box that isn't included in the 0 to 8 range.
7 0
3 years ago
Read 2 more answers
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