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3 years ago

11

It is 90 ft from home plate to first base on a baseball diamond. How long will it take a batter to reach first base if the batte

r runs at a rate of 15 ft/sec?

1 answer:

vitfil [10]3 years ago

3 0

Answer:

It would take the batter 6 seconds to reach 1st base

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Minchanka [31]

Answer:

D.4.7%

Step-by-step explanation:

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3 years ago

If the fraction equals the repeating decimal 0.0476190476190..., what is the 51st digit after the decimal point of the repeating

Andru [333]

It would be the number 7

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3 years ago

Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced

mylen [45]

Answer:

$x=119119,\;\;\;y=119119$

Step-by-step explanation:

Let the $x$ be the first number, $y$ be the second number and $p$ be the product of the first and second number.

i.e $x+y=238238$ $\Rightarrow x=238238-y$

$p=xy$

$\Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2$

$\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119$

Now,

$x=238238-119119\\\\ \Rightarrow x=119119$

Hence, $x=119119,\;\;\;y=119119$

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2 years ago

Triangle ABC has side lengths a= 24, b= 40, and c= 55. What is the measure of angle C? 83.6° 116.2° 23.0° 40.7°

Harlamova29_29 [7]

<h3>Answer: 116.2°</h3>

Work Shown:

$c^2 = a^2 + b^2 - 2ab\cos(C)\\\\55^2 = 24^2 + 40^2 - 2*24*40\cos(C)\\\\3025 = 576 + 1600 - 1920\cos(C)\\\\3025 = 2176 - 1920\cos(C)\\\\3025 - 2176 = -1920\cos(C)\\\\849 = -1920\cos(C)\\\\-1920\cos(C) = 849\\\\\cos(C) = (849)/(-1920)\\\\\cos(C) \approx -0.4421875\\\\C \approx \cos^{-1}(-0.4421875)\\\\C \approx 116.243535748231^{\circ}\\\\C \approx 116.2^{\circ}\\\\$

The first equation is one of the three variations for the Law of Cosines.

Make sure your calculator is in degree mode.

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2 years ago

Solve the world problem. the formula d = rt gives the distance traveled in time t at rate r. if a bicyclist rides for 2.3 hours

Marta_Voda [28]

Hello!

The answer to your question is D. 17.83 because 41 divided by 2.3 is equal to the answer and you are trying to solve for r.

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3 years ago