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Ghella [55]
3 years ago
14

Devin won a tiny bouncy ball at the school carnival. The diameter of the ball is 1.25 inches. To the nearest hundredth of a squa

re inch, what is the surface area of the ball? Use 3.14 for pi
Mathematics
1 answer:
jolli1 [7]3 years ago
5 0

Answer:

SA = 4.91 in²

Step-by-step explanation:

A ball is a sphere, and the surface area of a sphere is

SA=4\pi r^2

If our diameter is 1.25, the radius is half of that at r = .625

Filling in, we have

SA = 4(3.14)(.625)² and

SA = 4(3.14)(.390625) so

SA = 4.91 in²

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3 years ago
The number 64 has the property that it is divisible by its units digit. How many whole numbers between 10 and 50 have this prope
sineoko [7]

Answer:

\large \boxed{17}

Step-by-step explanation:

Let's call the numbers "<em>tu</em>", where<em> t</em> is the tens digit and <em>u</em> is the units digit.

We can solve this by the "brute force" method —  examining each number to see if it satisfies the conditions.

\begin{array}{cccl}\mathbf{u}&\mathbf{tu}& \textbf{Divisible by u} & \\0 &20, 30, 40 & 0 & \text{Division by zero is impossible}\\1 & 11, 21, 31, 41 & 4& \text{All numbers are divisible by one}\\2 & 12, 22, 32, 42 & 4 & \text{All even numbers are divisible by two}\\3 & 13,  23, 33, 43 & 1 &\text{Only 33 is divisible by three}\\4 & 14, 24, 34, 44 & 2 & \text{Only 24 and 44 are divisible by four}\\5 & 15, 25, 35, 45 & 4 & \text{Numbers ending in 5 are divisible by five}\\\end{array}

\begin{array}{cccl}6 & 16, 26, 36, 46 & 1 & \text{Only 36 is divisible by six}\\7 & 17, 27, 37, 47 & 0 & \text{None of the numbers is divisible by seven}\\8 & 18, 28, 38, 48 & 1 & \text{Only 48 is divisible by eight}\\9 & 19, 29, 39, 49 & 0 & \text{None of the numbers is divisible by nine}\\& \textbf{TOTAL =} &\mathbf{17}& \\\end{array}\\\text{$\large \boxed{\mathbf{17}}$ numbers between 10 and 50 are divisible by their units digit}

5 0
3 years ago
What is the volume of a sphere with a radius of 5.9 in, rounded to the nearest tenth of
Olegator [25]

Answer:

6

Step-by-step explanation:

If u round it to the nearest 1

6 0
2 years ago
Mr Satyal borrowed Rs 50000 and after ane year she returned the loan by paying 60000. What is the intrest paid and what is the r
Hatshy [7]

The interest paid is Rs 10000

The rate of interest  is  20%

Step-by-step explanation:

Step 1 :

Amount  borrowed by Mr. Satyal = Rs 50000

Amount repaid  = Rs 60000

Interest is charged on the principal amount and the amount repaid will be the sum of the interest paid plus the principal amount

Hence the interest paid is 60000 - 50000 = Rs 10000

Step 2:

The rate of interest is  calculated as follows :

Divide the interest calculated by the principal amount and is expressed as percentage.

Hence the interest rate  = \frac{10000}{50000} × 100 = 20%

Step 3 :

The interest paid is Rs 10000

The interest rate  is  20%

5 0
3 years ago
Solve for Y I need help please
muminat
Bring y to one side and the rest to the other switching the positives to negative then you’ll get Y=114
6 0
3 years ago
Read 2 more answers
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