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Tju [1.3M]
3 years ago
14

Anusha is walking on a hiking trail at a rate of 3/4 miles in 1/4 hour. At this rate, how far will Anusha walk in an hour?

Mathematics
2 answers:
Vladimir [108]3 years ago
4 0
At this rate, Anusha will walk 3 miles in an hour. You can find this in two ways, the first being simply multiplying the 3/4 by 4 because it is 1/4 of the destination time. You can also do 3/4 mile over 15 minutes and a variable of your choice over 60 minutes and cross multiply to get 15a=45. Next, divide 45 by 15 and you get "3," meaning 3 miles were traveled.
kherson [118]3 years ago
3 0
3 miles. Using cross-multiplication, 3×4 = 12 and 4×1 = 4, so 12/4 = 3.
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Matt can walk 500 m from his home on King Street, and then 900m along Queen Street to go to his school. He can also walk across
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He walks 1030 meters if he walks across the park.

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In order to solve this question we will need to know that c^{2} = a^{2} + b^{2} (were c is the length of the hypotenuse (the diagonal line) of a right angle triangle, and a and b are the legs (the sides that form a right angle). So them means that.....

Let "c" be the distance he will need to walk if he was going to go through the park

Let "a" be the distance he walks on King Street

Let "b " be the distance he walks on Queen Street, then.....

c^{2} = a^{2} + b^{2}

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7 0
3 years ago
A pool measuring 20 meters by 28 meters is surrounded by a path of uniform​ width, as shown in the figure. If the area of the po
krok68 [10]
X= width of the path.
we can suggest this equation:

(20+2x)(28+2x)=1584

we solve this equation:
(20+2x)(28+2x)=1584
560+40x+56x+4x²=1584
4x²+96x-1024=0
4/4x²+96/4x-1024/4=0/4
x²+24x-256=0

We solve this square equation:

x=[-24⁺₋√(576+1024)]/2=(-24⁺₋40)/2
we have two solutions:
x₁=(-24-40)/2=-32  this solution is not valid.
x₂=(-24+40)/2=8

Answer: the width of the path is 8 m.


7 0
3 years ago
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