MATHEMATICS HIGH SCHOOL

A regulation basketball has a diameter of about 9 inches. What is the best approximation of the volume of the ball?3050 in3

84.8 in3

382 in3

215 in3

Answers

Answer 1

Answer:

Answer: The correct option is (C) 382 in³.

Step-by-step explanation: Given that a regulation basketball has a diameter of about 9 inches.

We are to select the best approximation of the volume of the ball.

We know that basketball is of the shape of a SPHERE.

The VOLUME of a sphere with radius 'r' units is given by the formula:

$V=(4)/(3)\pi r^3.$

The diameter of the basketball is about 9 inches, so its approximate radius will be

$r=(9)/(2)=4.5~\textup{inches}.$

Therefore, the approximate volume of the basketball is

$V\n\n\n=(4)/(3)\pi r^3\n\n\n=(4)/(3)* 3.14* (4.5)^3\n\n\n=(4*3.14* 91.125)/(3)\n\n\n=381.51~\textup{in}^3~\textup{[approx.]}\sim 382~\textup{in}^3.$

Thus, the best approximation of the volume of the ball is 382 in³.

Thus, (C) is the correct option.

Answer 2

Answer: 382 in3

Just look up volume of a sphere and a thing comes up all you have to put in is the radius (aka half of 9 which is 4.5) You're welcome.

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A rectangular park that measures 245 yards by 420 yards has a sidewalk around it. What is the least distance a person must walk to go around the park once?a.)665 yards
b.)910 yards
c.)1,085 yards
d.)1,330 yards

Answers

The least distance a person must walk to go around the park once is D. 1,330 YARDS.

We need to get the perimeter of the rectangular park.

P = 2 (l + w)
P = 2 (420 + 245)
P = 2 (665)
P = 1330 YDS

I think that the answer that you are looking for would be C

What does x-4y=-4;x=-2,4,6 (solve for y then find the value of y for each value of x

Answers

: Solve the equation for y. Then find the value for y for each value x. 6x=7-4y; x= ... You can put this solution on YOUR website! 6x=7-4y 4y=-6x+7 4y/4=(-6x+7)/4 y=(-6x+7)/4===================== x=-2 y=(-6(-2)+7)/4 y=(12+7)/4

Frankie paid $11.75 for the movie ticket and $4.75 for popcorn and a drink. How much did Frankie spend?
a. $7.00
b. $15.50
c. $15.75
d. $16.50

Answers

He spent $16.50. Add the two amounts up.

Its 16.50

11.75 + 4.75

add them and you have your answer :) hope that helped

A right pyramid has a regular hexagon as a base. The slant height is 20, and the perimeter of its base is 10. What is the lateral surface area of the pyramid

Answers

Answer:

100 unit^2

Step-by-step explanation:

lateral surface area of right pyramid = .5*p*s

p = perimeter

s = slant ht

LS = 100 unit^2

What is the answer to : 20 / 2(5+5)

Answers

Answer:

100

Explanation:

Before we begin, you should remember the order of operations from left to right:

1- Parentheses

2- Exponential

3- Division/multiplication

4- Addition/subtraction

Now , the given is:

$(20)/(2) * (5+5)$

We will start by resolving the brackets:

5+5 = 10

Therefore, the expression now is:

$(20)/(2) * 10$

Note that multiplication/division both have the same rank in the order of operations. This would mean that we will go from left to right and resolve whichever of them comes first.

In our expression, we can see that division comes first. So, we will start by division:

$(20)/(2) = 10$

The expression now became:

10 * 10

We will finally do the multiplication:

This would give us the final answer 100.

Combining all the above steps:

$(20)/(2) * (5+5) = (20)/(2) * 10 = 10 * 10 = 100$

Hope this helps :)

100

Further explanation

In the 1500s special rules of order of operations were issued. This sequence of work states which process takes precedence as the priority before other operations.

Operation priorities are as follows.

Parentheses (simplify in it)
Exponent
Multiplication or Division (from left to right)
Addition or Subtraction (from left to right)

Let's implement the rule.

$\boxed{ \ 20/2(5 + 5) \ } \rightarrow \boxed{ \ 20 / 2 (5 + 5) = \ ? \ }$

Inside the brackets, do the addition.

$\boxed{ \ 20 / 2 (10) = \ ? \ }$

Let us apply rule number 3 from the priority operation above. Operate on the left to right. We have to divide 20 by 2.

$\boxed{ \ 10(10) = \ ? \ }$

The continuous operation ends with multiplication.

$\boxed{ \ 10 * 10 = 100 \ }$

Thus, the answer is

$\boxed{ \ 20/2(5 + 5) \ } \rightarrow \boxed{\boxed{ \ 20 / 2 (5 + 5) = 100 \ }}$

Notes:

What if we don't follow the priority of the operation?

Look carefully at the following discussion.

At this crucial point:

$\boxed{ \ 20 / 2 (10) = \ ? \ }$

We decide to multiply 2 by 10, even though there are no parentheses from them, only parentheses for 10.

$\boxed{ \ 20 / 2 * 10 = \ ? \ }$

$\boxed{ \ 20 / 20 = 1 \ }$

Hence, $\boxed{ \ 20 / 2 (5 + 5) = 1 \ }$

That's what happens if we don't follow operating priorities.

Unless the problem like this:

$\boxed{ \ 20 / (2 (5 + 5)) = 1 \ }$

$\boxed{ \ 20 / (2 * 10) = 1 \ }$

$\boxed{ \ 20 / 20 = 1 \ }$

Thus, the difference must be considered. Consequently, obey the priority of the operation and look at the problem in detail.

Learn more

The simplified form of 5(14 - 2)^2÷2 brainly.com/question/1602237
2/7m-1/7=3/14 solve step by step brainly.com/question/4853649
Add and simplify 9/16 + 1/2 brainly.com/question/894273

Keywords: 20/2(5+5), 100, the order of operation, operation priorities are as follows, parentheses, brackets, simplify, exponent, multiplication, division, from left to right, add, subtract, obey the priority

Find the volume of the pyramid. 100 points