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hichkok12 [17]
3 years ago
11

A home-made baseball diamond is in the shape of a square. The distance from base to base is 80 feet because of space constraints

. How far does a catcher throw the ball from home plate to second base?
A. 80 feet
B. 40 feet
C. 40 square root of 2 feet
D. 80 square root of 2 feet
Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0
The Awnser is D) 80 square root of 2 feet

Lelu [443]3 years ago
3 0
Call x the distance from home plate to second base.

There is a right triangle formed by homeplate, first base and second base. The sides of this triangle are 80 feet and 80 feet. The hypothenuse meets Pythagoras theorem:

x^2 = 80^2 + 80^2 = 2(80)^2
x = 80√2

Then the answer is the option D.
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Answer:

Step-by-step explanation:

Exponential function representing final amount with compound interest compounded continuously,

A=Pe^{rt}

Here, A = Final amount

P = principal amount

r = Rate of interest

t = Duration of investment

For P = $9600

r = 6%

A = 2 × 9600 = $19200

By substituting these values in the formula,

19200=9600(e)^{0.06\times t}

2=e^{0.06t}

ln(2)=ln(e^{0.06t})

ln(2) = 0.06t

t = \frac{0.693147}{0.06}

t = 11.55245

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Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.

Therefore, $960000 will get doubled in 11.5525 years.

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