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TiliK225 [7]
2 years ago
13

The elevator of a high-rise office building provides access to all floors. if each floor is 5 meters high and the elevator trave

ls at a rate of 7.5 meters per second, approximately how long will it take to travel from the first floor to the sixty-eighth floor?
Mathematics
1 answer:
nadya68 [22]2 years ago
6 0
Height of each floor = 5 meters
time to travel from the first floor to 68th floor = ?
Speed of elevator = 7.5m/s
While an elevator travels from 1st floor to 68th floor, we will multiply the height of floor with 67 to get the distance covered by the elevator form 1st floor to 68th floor, the height of 68th floor will not be counted in the distance because an elevator reaches the 68th floor not covered the height of that floor.
Distance = 5 x 67 = 335m
Now calculate the time by using the formula;
time = distance / speed
= 335m / 7.5m/s
= 44.667 seconds
Thus, an elevator will take 44.667 seconds to reach 68th floor.

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If henry were to add 5 gallons of water to a tank that is already 34 full of water, the tank would be 78 full. how many gallons
taurus [48]
Please express those fractions properly:  3/4, 7/8.

Let g be the # of gallons the tank could hold when full.  

Then (3/4)n + 5 = (7/8)n.  

solving for n:  Mult all 3 terms by the LCD (8):  6n + 5(8) = 7n.

Then n=5(8) = 40 (gallons).  The tank would hold 40 gallons of water were it full.


5 0
2 years ago
Ardi and lei are both travelling by train. Ardi’s train travels 70km in 35 minutes. Lei’s train travels 585km. It leaves at 9:05
LuckyWell [14K]

Answer:47.14km/h

Step-by-step explanation:

585÷3 and 1/2=167.14km/h

70÷35/60=120km/h

167.14-120=47.14km/h

8 0
2 years ago
A candle is a square prism. The candle is 15 centimeters high, and its volume is 960 cubic centimeters. a) Find the length of ea
Yakvenalex [24]

Answer:

a] is 8cm

Step-by-step explanation:

A=2a2+4ah

a=8cm

h=15cm

therefore A=608

3 0
2 years ago
Tyrone paid $234.33 for a new watch, after tax, and the tax rate is 7%. What was the original price of the watch?
nevsk [136]
The cost of the watch originally cost $1,640.31
6 0
2 years ago
In △ABC, m∠A=15 °, a=10 , and b=11 . Find c to the nearest tenth.
pshichka [43]

Answer:

The answer is:

\bold{c\approx 20.2\ units}

Step-by-step explanation:

Given:

In △ABC:

m∠A=15°

a=10 and

b=11

To find:

c = ?

Solution:

We can use cosine rule here to find the value of third side c.

Formula for cosine rule:

cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

Putting all the values.

cos 15^\circ = \dfrac{11^{2}+c^{2}-10^{2}}{2\times 11 \times c}\\\Rightarrow 0.96 = \dfrac{121+c^{2}-100}{22c}\\\Rightarrow 0.96 \times 22c= 121+c^{2}-100\\\Rightarrow 21.25 c= 21+c^{2}\\\Rightarrow c^{2}-21.25c+21=0\\\\\text{solving the quadratic equation:}\\\\c = \dfrac{21.25+\sqrt{21.25^2-4 \times 1 \times 21}}{2}\\c = \dfrac{21.25+\sqrt{367.56}}{2}\\c = \dfrac{21.25+19.17}{2}\\c \approx 20.2\ units

The answer is:

\bold{c\approx 20.2\ units}

4 0
2 years ago
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