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attashe74 [19]
4 years ago
7

The service elevator in a high-rise building travels between the lowest underground parking level and the seventeenth story of t

he building. The lowest parking level is 15 meters below street level, and the seventeenth story is 51 meters above street level. If the elevator rises at a rate of 2 meters per second, how long, in seconds, could a person ride the elevator when starting from the lowest level? Assume the elevator makes no extra stop.
A. x ≤ 33

B. x ≤ 66

C. x ≤ 18

D. x ≤ 21
Mathematics
2 answers:
Vitek1552 [10]4 years ago
6 0

15 + 51 = 66 Meters total

\frac{66}{2} = 33 Seconds

A. x \leq 33

eduard4 years ago
4 0

Answer:

x ≤ 33

Step-by-step explanation:

The lowest parking level is 15 meters below street level

The seventeenth story is 51 meters above street level.

So, the total distance between  lowest parking level and seventeenth story = 15+51 = 66 m

Now we are given that the elevator rises at a rate of 2 meters per second

So, the elevator rises 1 m in seconds = \frac{1}{2}

So, the elevator rises 66 m in seconds = \frac{1}{2} \times 66

                                                                 = 33

So, the elevator rises 66 m in 33 seconds or less but not more than that

So, Option A is true

x ≤ 33

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I’m kinda confused. Can someone help.
horsena [70]

Answer:

PQ = PM\cos MPQ + MQ\cos MQP=2PM\cos MQP

Step-by-step explanation:

given MQR = 60, PQR = 75

MQP = 75 -60= 15QR = ((18(1+\cos 30))^{2}-(2\cos 15)^{2})^{\frac{1}{2}}

WE KNOW THAT MQR +QRM +QMR = 180

MPQ = MQP AS ANGLE OPPOSITE TO EQUAL SIDES ARE EQUAL

THEREFORE QMR = 90 - 60 = 30

therefore PQM = 75 - 60 = 15

PM = PQ because M is the mid point

therefore PR = PM + MQ\cos QMR

                PR = 18(1+\cos 30)

QR = (PR^{2}-PQ^{2}))^{\frac{1}{2}}

PQ = PM\cos MPQ + MQ\cos MQP=2PM\cos MQP

5 0
3 years ago
A rectangular gasoline tank can hold 49.0 kg of gasoline when full. what is the depth of the tank (in m) if it is 0.400 m wide b
Arturiano [62]
We know that

<span>ρ = density of gasoline = 737 kg/m³ (at T = 60°F = 15.6°C)
</span>ρ = m/V
ρV = m
V = m/ρ
V = 49.0 kg / 737 kg/m³
<span>V = 0.066 m³ 

[volume of the tank]=L*W*H-----> H=volume/[L*W]----> H=0.066/(0.9*0.4)
H=0.1833 m

the answer is
t</span><span>he depth of the tank is 0.18 m</span>


5 0
3 years ago
Which values of k are solutions to the inequality |-k-2|&lt;18? Check all that apply<br> -40
LenaWriter [7]

Answer:

any number except -20

Step-by-step explanation:

|-k-2|

-k-2                              -k-2>18

-k                               -k>18+2

-k                                      -k>20

Multiply by -1 to make the k positive. This will alter all the terms which means 20 will become negative. NOTE: When multiplying or dividing by negative numbers, the inequaliy sign flips.

k>-20                                           k

k must be either greater than -20 but not including it or fewer than -20 but not including it; therefore, any number between negative infinity and -21 and -19 and postive infinity

6 0
4 years ago
Read 2 more answers
Doug split a pack of cards so that he and his friends each got 6 cards. If there were 24 cards in the pack, how many friends did
GuDViN [60]

Answer:

3

Step-by-step explanation:

24 divided by 6 is 4, subtract Doug, there were 3 friends

4 0
2 years ago
They building in the city has a rectangular base. The length of the base measures 60 ft less than twice the width. The perimeter
wariber [46]

Answer: the length of the base is 290ft

The width of the base is 175 ft

Step-by-step explanation:

The base of the building is rectangular in shape.

Let L represent the length of the base of the building.

Let W represent the width of the base of the building.

The length of the base measures 60 ft less than twice the width. This means that

L = 2W - 60 - - - - - - - - -1

The perimeter of a rectangle is expressed as 2(length + width).

The perimeter of this base is 930ft. It means that

2(L + W) = 930

L + W = 930/2 = 465- - - - - - 2

Substituting equation 1 into equation 2 , it becomes

2W - 60 + W = 465

3W = 465 + 60 = 525

W = 525/3 = 175

L = 465 - W = 465 - 175

L = 290

4 0
3 years ago
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