A baseball diamond has an area of 3600 feet to the second power. what is the distance between each base? .

Answers

Answer 1

Answer: The base ball diamond has the dimensions of a square. See the diagram in the attachment.

Therefore the area is given by the formula

$Area= {l}^(2)$

We were given the area to be 3600 feet squared. We just have to substitute this value into the formula to obtain;

$3600 = {l}^(2)$

Taking the positive square root of both sides gives;

$√(3600) = \sqrt{ {l}^(2) }$

Thus implies that;

$60 = l$

We can also rewrite this as;

$l = 60$

The distance between each base is how far one side is from the other. This is equal to the perpendicular distance between them and this is the same as the length of the sides.

$<b>Therefore the distance between each base is 60 feet.</b>$

Answer 2

Answer: A diamond is the same thing as a square. So the side lengths are all the same. Multiplied length by width you get area. So square the area (3600) and you get 60 feet side length. The bases are 60 feet away from each other.

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Last Monday, there was at least 4 inches of rain. Write the inequality

Answers

X $\geq$ 4 X is greater than or equal to four because you have at least 4 inches of rain, meaning you could have four inches or more.

Write the rational number as a decimal -21/16

Answers

$- (21)/(16) = \boxed{\bf{1.3125}}$

Communicate Mathematical Ideas Julie got 21 of the 23 questions on her math test correct. She got 29 of the 32 questions on her science test correct. On which test did she get a higher score? Can you compare the fractions and by comparing 29 and 21? Explain. How can Julie compare her scores?

Answers

She got a greater score on her math test.

21/23
21*32=672 and 23*32=736, so 672/736

29/32
29*23=667 and 32*23=736, so 667/736

672/736 is greater than 667/736

her math test! :) and because i have to write more than 50 characters i like turtles

In ΔABC, if the length of sides a, b, and c are 3.5 centimeters, 5.5 centimeters, and 6 centimeters respectively, what is m∠C to two decimal places

Answers

The measure of the angle ∠C to two decimal places will be 117.99°.

What is the cosine law?

The squared of the size of any solitary side of either a triangle is equal, by the cosine rule, to the total of the squares of the lengths of the other two sides, times by the cosine of something like the angle they are a part of.

Let the triangle ΔABC, then the cosine law is given as,

c² = a² + b² - 2 a·b cos C

In ΔABC, if the length of sides a, b, and c are 3.5 centimeters, 5.5 centimeters, and 6 centimeters respectively. Then the measure of the angle ∠C is given as,

6² = (3.5)² + (3.5)² - 2 · (3.5) · (3.5) cos C

Simplify the equation, then we have

6² = (3.5)² + (3.5)² - 2 · (3.5) · (3.5) cos C

36 = 12.25 + 12.25 - 24.50 cos C

11.5 = - 24.50 cos C

cos C = - 11.5 / 24.5

C = 117.99

The measure of the angle ∠C to two decimal places will be 117.99°.

More about the cosine law link is given below.

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C=arccos(13/77)=80.28 degrees
Look at attachment.

Rewrite the linear function 5x+ 1/3y = -2 in slope intercept form

Answers

Answer:

y = -15x - 6

Step-by-step explanation:

Final answer:

To rewrite the function 5x + 1/3y = -2 in slope-intercept form, we first isolate 'y' and then multiply by 3 to get y = -15x -6.

Explanation:

The given linear function is 5x + 1/3y = -2. To rewrite this in slope-intercept form, i.e., y = mx + b, where m is the slope and b is the y-intercept, we apply some algebraic manipulations:

First, let's isolate 'y' on one side of the equation. Subtracting 5x from both sides, we get 1/3y = -5x -2.
Next, multiply each side by 3 to fully isolate 'y'. This gives y= -15x -6 which is the linear function in slope intercept form.

The process we just followed is called converting a linear equation to slope-intercept form.

Learn more about Linear Function Conversion here:

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A refrigerator magnet uses 5/8 inch of magnetic tape. How many refrigerator magnets can you make with 10 inches of magnetic tape? explain.

Answers

To get the answer use division:

5/8 ÷ 10 = 0.0625

Turn it back into a fraction:

Decimal - 0.0625
Fraction - 1/16

Hope I helped You!!! :-)

Have A Good Day!!!

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