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Masja [62]
4 years ago
8

How to determine if a side length represents a right triangle?

Mathematics
1 answer:
jenyasd209 [6]4 years ago
5 0
Plug in each set of lengths into the Pythagorean theorem. Because the 2 sides are equal, that is a right triangle.
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Please give me an approximation of how long it would take to evacuate a population of 91,000 to a destination 21 miles away, usi
RoseWind [281]

Answer:

The time will depend on the number of people who move on each trip from the point of origin to the destination. If done at the maximum speed allowed using 100 vehicles of 50 seats each, the evacuation would be done in 63.68 hours

Step-by-step explanation:

Population = 91,000 ppl

Speed limit = 60 mph

Distance = 21 miles.

1. <em>Assuming that people is evacuated at the max. speed allowed, it means that each trip will take</em>:

T = D/V

D= 21 miles

V = 60 mph:

So;

T = 21 miles / 60mph

T= 0,35 h

2. Asumming that we are going to use an amount of 100 vehicles  with 50-seats in each trip for evacuating people, it means that we could evacuate

500 people every 0,35 h ≈ 1,429 ppl/hour <em>(evacuation rate)</em>

To know how long it would take us to evacuate 91,000 people under these conditions, we would have to divide the total amount by the previously calculated evacuation rate

T= 91,000/ 1,429 = 63,68 hours

             

6 0
3 years ago
Use the distributive property to write an equivalent expression.<br> 6(m + 6)
IRISSAK [1]

Answer:

6m+36

Step-by-step explanation:

Distributive property: 6(m)+6(6)

6m+36

5 0
3 years ago
Read 2 more answers
nate walks 25 meters in 13.7 seconds. if he walks at the same rate, which of the following is closest to the distance he will wa
Ludmilka [50]
I'm not in High School (Me is in Middle School) so... But, I got B.

4 0
3 years ago
The number A of tablet computers sold (in millions) can be modeled by the function A=4.5t2+43.5t+17 , where t represents the num
Rina8888 [55]
The problem indicates that A represents the number of tablet computers sold in millions. So, if 65 million were sold, we must substitute A = 65 to the equation. Then, we find for t.

65 = 4.5t² +43.5t + 17
Solving for t using a calculator,
t = 1 and -10.67

Let's take the positive root. So, t=1.
That means the year would be 1 year after 2010. <em>Therefore, the answer is 2011.</em>
6 0
3 years ago
Find the maximum or minimum of the following quadratic function: y = 16x2+ 40x + 25.
Irina-Kira [14]

the answer to your question is c. -25


4 0
3 years ago
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