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2 years ago

A pitcher's mound covers a circular area of 9 pie square feet What is the diameter of the mound in feet?

Mathematics

1 answer:

Pie2 years ago

5 0

Answer:

3.39

Step-by-step explanation:

Using the formulas

A=πr^2

d=2r

Solving for d

$d = 2 \sqrt[2]{ \frac{a}{\pi} } = 2( \sqrt{ \frac{9}{\pi} } )$

π≈3.38514

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A student's tuition was $5530. A loan was obtained for 4/7 of the tuition. How much was the loan?

Sophie [7]

Multiply the two numbers to find the amount of the loan.

5530/1* 4/7= 22120/7= 3160

Final answer: $3,160

5 0

3 years ago

Find the value of x if a,b, and c are collinear points an b is between a and c

MakcuM [25]

$\sf Hello!$

• $\sf AB = x + 6$
• $\sf BC = 3x - 5$
• $\sf AC = 36 - x$

$\sf We're \:given\: that \:A,\: B\: and \:C \:are \:Collinear\: points$

$\sf Then,$

$\sf AB + BC = AC$

⇒ $\sf x + 6 + 3x - 5 = 36 - x$

⇒ $\sf x + 3x + 6 - 5 = 36 - x$

⇒ $\sf 4x + 1 = 36 - x$

⇒ $\sf 4x + x = 36 - 1$

⇒ $\sf 5x = 35$

⇒ $\sf x = \dfrac{\sf 35}{\sf 5}$

⇒ $\boxed{\sf x = 7}$

$\sf Hence,$

$\sf The\: value\: of\: x\: is\: D.\: 7$

~ $\sf iCarl$

3 0

3 years ago

The sequence 2,6,18,54 shows the number of sit-ups Alan can do each day.

jek_recluse [69]

Step-by-step explanation:

this sequence is geometric not arithmetic

HOw we know that ??

when we get a common difference that must Be equal

d=6-2=4 not equal to d=18-6=12

So it is not arithmetic

but when we get the common ratio that also must be equal

r=6/2=18/6=54/18=3 equal

So it is geometric

By using this equation:

a(n)=a(1)*r^(n-1)

and we have a(1)=2 , r=3

Explicit rule: a(n)=2*(3)^(n-1)

Recursive rule: a(n)= r * a(n-1)

a(n-1) ⇒ priviuse term

SO: a(n)= 3 * a(n-1)

For example:

a(3)= 3 * 6 =18

I really hope this helps <3

7 0

3 years ago

What is the total volume of the figure? Pls help

goldfiish [28.3K]

Answer: 58 in

Step-by-step explanation:

3 0

3 years ago

What is the rational number equivalent to __ 3.24?

guajiro [1.7K]

Answer:

$\frac{324}{100}$

Step-by-step explanation:

Think of a rational number as a fraction. The definition of a rational number is that it is the ratio of integers that, when divided, is either an integer, a decimal that terminates, or a decimal that repeats. 6/3 = 2 (6/3 is a rational number that divides to 2); 1/2 = .5 (1/2 is a rational number that divides to .5 which is a terminating decimal, meaning it ends); 1/3 = .33333333 (1/3 is a rational number that divides to .3333333 which is a repeating decimal). If we want to express 3.24 as a rational number, let's first put it into fraction form. The 4 in .24 is in the hundredths place, so as a fraction, .24 is 24/100. Check this on your calculator. Divide 24 by 100 and you get .24. So now what we have is $3\frac{24}{100}$

Now express that mixed fraction as an improper and you're done. 3 times 100 is 300; 300 + 24 = 324. Put that back over 100 and your rational number is 324/100. Check that on your calculator, as well, just to see that it's true.

5 0

2 years ago