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Kobotan [32]
2 years ago
5

An elevator ascends at a rate of 29.6 feet per second. If a building is 1,450 feet tall, about how long would it take for the el

evator to travel from the ground floor to the roof
Mathematics
2 answers:
nadezda [96]2 years ago
8 0
1,450/29.6= 48.986 seconds
It would take 49 seconds for the elevator to travel from the ground floor to the roof.
lianna [129]2 years ago
7 0

Answer:

49 seconds.

Step-by-step explanation:

We have been given that an elevator ascends at a rate of 29.6 feet per second. A building is 1,450 feet tall. We are asked to find the time it will take for the elevator to travel from the ground floor to the roof.

To find the time taken by elevator to reach the top of the building, we will use rate formula.

\text{Time}=\frac{\text{Distance}}{\text{Rate}}

\text{Time}=\frac{\text{1450 ft}}{\frac{\text{29.6 feet}}{\text{second}}}

\text{Time}=\frac{\text{1450 ft}}{\text{29.6 feet}}\times\text{second}

\text{Time}=48.986486\times\text{second}

\text{Time}\approx 49\text{ seconds}

Therefore, it will take approximately 49 seconds for the elevator to travel from the ground floor to the roof.

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Consider the system of linear equations. 5x+10y=15 10x+3y=13 To use the linear combination method and addition to eliminate the
antiseptic1488 [7]

Answer:

  A:  -2

Step-by-step explanation:

You want some factor k such that k(5x) +(10x) = 0. That is, 5k+10 = 0. The solution to this is k=-2, corresponding to selection A.

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2 years ago
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Sheri’s cab fare was $32, with a 20% gratuity and no taxes. Sheri wrote a check to the cab driver for $40.
stira [4]

Yes, $40 is a reasonable amount to pay for the cab fare.

<em><u>Explanation</u></em>

Sheri’s cab fare was $32 and the percentage of gratuity is 20%

So, the amount of gratuity will be: \$32* 20\% = \$32*0.20= \$6.40

Thus, <u>the fare of the cab including the gratuity</u> will be:  \$32+\$6.40 = \$38.40

As Sheri wrote a check to the cab driver for $40 , it means she paying ($40 - $38.40) or <u>$1.60 more to the cab driver</u>. So, the $40 check is a reasonable amount to pay for the cab fare.

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2 years ago
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The graph shows the average shoe size for a baby or toddler as a function of age in months. What shoe size would be recommended
mojhsa [17]

Answer: The  shoe size would be recommended for a four-month-old baby is equal to 1

Step-by-step explanation:

Since, according to the given figure,

Here, x represents age of baby (in month) while y represents shoe size.

And for babies , 0 the shoe size = 0

3 the shoe size = 1

6 the shoe size = 2

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2 years ago
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In ΔMNO, the measure of ∠O=90°, ON = 65, MO = 72, and NM = 97. What is the value of the tangent of ∠M to the nearest hundredth?
PilotLPTM [1.2K]

Answer:

Therefore the value of tangent of ∠M is 42°.

Step-by-step explanation:

Given that,

                  In ΔMNO, ∠O=90°, ON=65, MO=72, and NM=97.

and we have to find the value of tangent of ∠M.

Diagram of the given triangle is shown below:

Now,

ΔMNO is a right angle triangle, so we can use all the trigonometric ratio.

sin\alpha =\frac{Perpendicular}{Hypotenuse}

cos\alpha =\frac{Base}{Hypotenuse}

tan\alpha =\frac{sin\alpha }{cos\alpha } = \frac{Perpendicular}{Base}

tangent of ∠M = \frac{Perpendicular}{Base}

                         = \frac{ON}{MO}

                         = \frac{65}{72}

                         = 0.90278

∴∠M = tan^{-1} (0.90278)

        = 42.0750° ≅ 42°

Therefore the value of tangent of ∠M is 42°.

4 0
2 years ago
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