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coldgirl [10]
3 years ago
5

An escalator from the ground floor to the second floor of a department store is 110 ft long and 32 ft vertical. What is the esca

lator’s angle of elevation?

Mathematics
1 answer:
grigory [225]3 years ago
4 0

Answer: 16.91°

Step-by-step explanation:

1. You can draw a right triangle as you can see in the figure attached.

2. Then you can calculate the angle of elevation (α) as following:

\alpha=arcsin(\frac{opposite}{hypotenuse})

Where:

opposite=32\\hypotenuse=110

3. Now you must substitute these values. Then, the angle of elevation is:

 \alpha=arcsin(\frac{32}{110})

\alpha=16.91\°

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The profit that a vendor makes per day by selling x elephant ears is given by the function P(x)= -0.004x^2+3.2x-200. Find the nu
dezoksy [38]

Answer:

The number of elephant ears that must be sold to maximize profit is 400.

Step-by-step explanation:

Given that,

The profit that a vendor makes per day is given by

P(x)= - 0.004x² +3.2 x -200

where x is number of elephant ears.

P(x)= - 0.004x² +3.2 x -200

Differentiating with respect to x

P'(x)= - 0.008x+3.2

Again differentiating with respect to x

P''(x) = -0.008

For maximum or minimum P'(x)=0

- 0.008x+3.2=0

⇒0.008x=3.2

\Rightarrow x=\frac{3.2}{0.008}

⇒ x = 400

P''(x)|_{x=400} = -0.008

Since at x=400, P''(x)<0, the profit is maximize.

P(400) = -0.004×400²+3.2×400-200

          =440

The number of elephant ears that must be sold to maximize profit is 400.

3 0
3 years ago
How do yo do this question I have to
kkurt [141]
X=4-y would be your answer
7 0
3 years ago
in a school ,the number of boys who play cricket is 3 times as much as a number of boys who play tennis. if 12 boys, who play cr
Ierofanga [76]

Answer:

The number of boys who play tennis is 36.

Step-by-step explanation:

Let the number of boys who play tennis is x.

number of boys who play cricket = y

x = 3 y..... (1)  

12 boys plays both cricket and tennis.

According to the question,

x - 12 = y + 1 2

3 y - 12 = y + 12

2 y = 24

y = 12

So, the number of boys who plays tennis is x = 3 x 12 = 36.  

8 0
3 years ago
How do you round 26.2 to the nearest tenth of a kilometer?
Fittoniya [83]
The answer would be 26 because .1-4 rounds down, 5-9 rounds up
6 0
3 years ago
So im really confused by this and could use some help.
Otrada [13]

Answer:

Nancy fits the equation.

Step-by-step explanation:

I think they're asking which gorilla fits the equation.

2b - 15 = 605

<em>Add 15 to both sides</em>

2b=620

<em>Divide both sides by 2</em>

b=310

The only gorilla who weighs 310 pounds is Nancy.

5 0
3 years ago
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