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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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sally gave her brother 3.95 in quarters and dimes. if the number of quarters is 6 more then the number of dimes, how many quarte
iragen [17]
Let q be the number of 25 cent coins.
Let d be the number of 10 cent coins.
0.25q+0.10d= 3.95...(1)
q-d=6...(2)

(2)->    q-d= 6
       q-d+d= 6+d
              q= 6+d...(2a)

(2a)-> (1)      0.25q+0.10d=3.95
              0.25(6+d)=0.10d= 3.95
           1.95+0.25d+0.10d= 3.95
                               0.35d= 3.95-1.5
                       0.35d/0.35= 2.45/0.35
                                      d= 7...(3)

(3)->(2)     q-d= 6
                 q-7= 6
                    q=6+7
                    q= 13
There are 13 quarters and 7 dimes.
7 0
3 years ago
The business college computing center wants to determine the proportion of business students who have personal computers (PC's)
Anastasy [175]

Answer:

Option A) reject null hypothesis if z is greater than 1.645

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 250

p = 30% = 0.3

Alpha, α = 0.05

Number of women belonging to union , x = 75

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.3\\H_A: p > 0.3

This is a one-tailed(right) test.

Rejection Region:

z_{critical} \text{ at 0.05 level of significance } = 1.645

So, the rejection region will be

z > 1.64

That is we will reject the null hypothesis if the calculated z-statistic is greater than 1.645

Option A) reject null hypothesis if z is greater than 1.645

6 0
3 years ago
Help______________________________________
ser-zykov [4K]

The right step followed in the system to get he equations is (D). To get the system B. The second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution of system A.

<h3>Meaning of Simultaneous Equation.</h3>

A simultaneous equation can be defined as an equation that possesses two unknowns and one constant.

The solution to the problem can only be gotten by solving it side by side with another equation of the same format.

In conclusion, The right step followed in the system to get he equations is (D). To get the system B. The second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution of system A.

Learn more about simultaneous equation: brainly.com/question/148035

#SPJ1

3 0
2 years ago
A book is 9 inches wide and 13.5 inches tall.<br><br> What will the area of the front of the book?
Nina [5.8K]

Answer:

121.5

Step-by-step explanation: so what u are supost to do is multiply the sides which will give you your answer of 121.5.

8 0
3 years ago
Read 2 more answers
In AEFG, e = 9.8 cm, f = 3 cm and G=167º. Find the length of g, to the nearest 10th
sveta [45]

Answer:

g = 12.7 cm

Step-by-step explanation:

Here, we want to find the length of the side g

To do this, we shall employ the use of the cosine rule

Mathematically, by using the general form of the rule, we have it that ;

g^2 = e^2 + f^2 -2efCosG

So we have;

g^2 = (9.8)^2 + (3)^2 - 2(9.8)(3) cos 167

g^2 = 162.33

g = √162.33

g = 12.7

8 0
3 years ago
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