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2 years ago

11

A basketball court is a rectangle. If a court measures 60 feet by 40 feet, what is the length of the diagonal from one corner of

the court to the opposite corner?

1 answer:

alexdok [17]2 years ago

3 0

Pythagorean theorem: a²+b²=c²
Where c = length of the hypotenuse (diagonal of a triangle)

60²+40²=c²
3600+1600=c²
5200=c²
c=√5200
c ≈ 72.11 ft

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Could someone help me understand how to solve this?

monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula $I=P\cdot r\cdot t,$ where

I = interest

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r = rate (as decimal)

t = time.

<u>4% account:</u>

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then

$I_1=x\cdot 0.04\cdot 1=0.04x$

<u>5% account:</u>

$P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,$

then

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You have earned $69.50 in total, so

$I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950$

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Amount in 5% account: $950

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