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BabaBlast [244]
3 years ago
14

23. The chair lift at a ski resort rises at an angle of 21° and attains a vertical

Mathematics
1 answer:
Lerok [7]3 years ago
4 0

Answer:

The chair travels approximately 4,394.924 feet.

Step-by-step explanation:

We need to use trigonometric functions to solve this problem. You are given the opposite side of an angle and asked to find the hypotenuse. This means you must use sine, because sine is the ratio between opposite and hypotenuse.

Set up the equation as so:

sin(21) = 1575/x

(x being the hypotenuse). Solve for x by multiplying both sides by x and then dividing both sides by sin(21). Solve 1575/(sin(21)), and you get 4,394.924273, or 4,394.92

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Alicia bought two slices of pizza and a bottle of juice for $4.95. The juice was $1.65. How much is one slice of pizza?
VikaD [51]

Subtract the price of the juice from the total then divide the remaining amount by 2:

4.95 - 1.65 = 3.30

3.30 /2 = 1.65 per slice.

4 0
3 years ago
Please help meeeee will mark them brain​<br><br><br><br>from biggest to smallest
jonny [76]
It’s easier if you turn the fractions into decimals and arrange them in order from biggest to smallest. 3/4= 0.75, 5/6= 0.83, 7/9= 0.77, 1/2= 0.5, 2/3= 0.66, 7/12= .583, 15/24= 0.625. Then obviously, you order them from biggest to smallest:
0.83 (5/6), 0.77 (7/9), 0.75 (3/4), 0.66 (2/3), 0.583 (7/12), 0.5 (1/2).
6 0
2 years ago
The table below shows some values that satisfy a linear function.
balandron [24]

Answer:

3/2

Step-by-step explanation:

Truthfully, you only need two points for a linear equation, so I will only use two.

(-5, 0)

(-3, 3)

I will use the skeleton method to find the slope

((0) - (3))/((-5) - (-3)) -> -3/-2

The slope is 3/2

6 0
3 years ago
Please find the area
erastovalidia [21]

Answer:

45

Step-by-step explanation:

There's a couple ways to do this, my method will find the area of the larger triangle and subtract the smaller triangle using only Pythagorean theorem.

Finding the side length adjacent to the 6 will allow us to solve the problem

6^2 + b^2 = 10^2

36 + b^2 = 100

b^2 = 64

b = 8

The larger triangle

Base: 8 + 15 = 23

Height: 6

23 * 6 * 0.5 = 69

The smaller triangle

Base: 8

Height: 6

6 * 8 * 0.5 = 24

Final Steps:

69 - 24 = 45

4 0
3 years ago
Factorise x squared plus 5x minus 6
VARVARA [1.3K]
This is the answer:  <span>x2 + 5x + 6 = </span><span>(x + 2)(x + 3)</span>
7 0
4 years ago
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