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Mumz [18]
3 years ago
13

An escalator in a department store is to carry people a vertical distance of 18 feet between floors. How long is the escalator i

f it makes and angle of 40° with the floor? Round to 1 decimal place.

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0
Drawing out the triangle, we get the one below. We can use the trigonometric ratio of tan to solve this problem.
tan40= \frac{18}{x}
x= \frac{18}{tan40}
x=21.5

:)

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Emily has 300 books. if frank were to double the number of books that he now owns, he would still have fewer than Emily has
Alex_Xolod [135]
This statement is false. 
If he were to double the amount that Emily has to get franks, franks would have more. 
Look :)
Emily's = 300
Frank's = 300 x 2 = 600

now...
Emily's = 300
Frank's = 600

So frank has more! NOT fewer. 

8 0
3 years ago
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Doctors are interested in determining if the human body temperature is really 98.6 degrees. he selects 30 students and records t
MaRussiya [10]

Answer:

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5 0
3 years ago
Find the annual percentage rate of change for the population of Oregon. In 2000, there were 4.8
MrRa [10]

Answer:

The annual percentage rate of change for the population of Oregon is of 8.125%.

Step-by-step explanation:

Total percentage change:

Change multiplied by 100 and divided by the initial value.

Change: 8.7 - 4.8 = 3.9 million

Initial value: 4.8

Percentage change: 3.9*100/4.8 = 81.25%

Annual percentage rate of change

81.25% during 10 years(from 2000 to 2010).

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The annual percentage rate of change for the population of Oregon is of 8.125%.

5 0
3 years ago
Find the simplest form
Elis [28]

Answer:

x = 8

y = 16

Step-by-step explanation:

8 + 8 = 16

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6 0
3 years ago
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Further mathematics: Find the derivative of the function x^2 y + (xy)^3 +3x=0 at (-1 , 3)​
vesna_86 [32]

Answer:

3.

Step-by-step explanation:

Implicit differentiation:

x^2 y + (xy)^3 + 3x = 0

x^2 y + x^3y^3 + 3x = 0

Using the product rule:

2x* y + x^2*dy/dx + 3x^2 y^3 + x^3* (d(y^3)/dx) + 3 = 0

2xy + x^2 dy/dx + 3x^2 y^3 + x^3* 3y^2 dy/dx + 3 = 0

dy/dx(x^2 + 3y^2x^3) =  (-2xy - 3x^2y^3 - 3)

dy/dx=  (-2xy - 3x^2y^3 - 3) / (x^2 + 3y^2x^3)

At the point (-1, 3).

the derivative =  (6 - 81 - 3)/(1 -27)

= -78/-26

=  3.

8 0
2 years ago
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