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Zepler [3.9K]
2 years ago
11

In a race, a bicyclist travels 180 miles in 10 hours what is the unit rate in miles per hour? Question A 9 Miles per hour Questi

on B 18 Miles per hour Question C 20 Miles Per hour Question D 25 Miles Per Hour
Mathematics
1 answer:
Svet_ta [14]2 years ago
8 0
18 mph. Answer B is the correct answer
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The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle
Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

11x+16x+24x = 51x feet long. But we know that this is 510 feet, so we have

51x = 510 \implies x = \cfrac{510}{51} = 10.

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if s is half the perimeter of the triangle whose sides are a,b,c, the area A is given by

A = \sqrt{s(s-a)(s-b)(s-c)}

In our case, s = 255, a = 110, b = 160, c = 240 so the formula becomes

A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74

5 0
3 years ago
Jack, Jill, and Ron share a 2-bedroom apartment. Rent is represented by R. The water bill is $20 per person. The electric bill i
erastovalidia [21]
Jack: 2R/3
Jill: 3 • 20 + 0.5 • 250 = 185
Ron: R/3 + 125

hope that helps

4 0
3 years ago
Evaluate 0.00048×0.81×10×(10)-7 ÷0.027×0.04x(10)6​
alexandr402 [8]

Answer:

Step-by-step explanation:

0.00048*.81=0.0003888

0.0003888*10=0.003888

0.003888*(10)=0.3888

0.3888-7=-6.6112

-6.6112*0.027=-224.8592593

-224.8592593*0.04= -9.794370372

-9.794370372*(10)=-97.94370372

-97.94370372*6= -587.6622223

5 0
1 year ago
5 divided by 3 1/3, by lowest point
dem82 [27]

Answer:

1.42

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What number is 40% of 30?
Darya [45]

Answer:

12

Step-by-step explanation:

40/100*30

=12

6 0
2 years ago
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