1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ad-work [718]
3 years ago
12

A container is in the shape of a rectangular prism with a square base. It has a volume of 99 cubic inches and a height of 11 inc

hes. How many softballs with a diameter of 3.8 inches will fit into the container? Use the drop-down menus to explain your answer.

Mathematics
2 answers:
Andreyy893 years ago
7 0

Answer:

Zero softballs with a diameter of 3.8 inches will fit into the container as length of the container is less the diameter of the softball.

Zero softballs can fit in length and zero softballs will fit in width.

Step-by-step explanation:

Length of the square base in rectangular pyramid = s

Breadth of the square base in rectangular pyramid = s

Height of the square base in rectangular pyramid ,l = 11 inches

Volume of the square base in rectangular pyramid ,V=99 inches^3

Volume of the cuboid =  l × b × w

V= s × s × l

99 inches^3=s^2\times 11 inches

s = 3 inches

Softballs with a diameter of 3.8 inches.

But the length of the container is less the diameter of the softball which means not even single ball will not be able to get into the container. So zero softballs can fit in length and zero softballs will fit in width.

algol133 years ago
4 0

Answer:

A total of zero softballs will fit into the container

Step-by-step explanation:

step 1

Find the dimensions of the base  of the prism

we know that

The volume of the prism is equal to

V=Bh

where

B is the area of the base

h is the height of the prism

In this problem we have

V=99\ in^{3}

h=11\ in

substitute in the formula and find the area of the base B

99=B(11)

B=99/11=9\ in^{2}

the length side of the square base is the square root of the area

so

\sqrt{9}=3\ in

we have that

The diameter of the softball 3.8 inches will fit (11/3.8=2.89 )  2 times  in the length of the container

The diameter of the softball 3.8 inches will fit  0 times  in the width of the container

so

A total of 0 times of softballs will fit  in the width of the container

therefore

A total of zero softballs will fit into the container

You might be interested in
The number of years from the start of the Great Depression to the first presidential election of Richard Nixon is six years less
sergij07 [2.7K]

Answer: Raul is 15

Step-by-step explanation:

Start of the great depression: 1929

The first presidential election of Richard Nixon: 1969

Difference: 40 years + 6 years= 46 years

46 years/3= 15.3

8 0
2 years ago
Read 2 more answers
What is the answer pleasr
gavmur [86]
For the first one at the top it’s 300 and 575 then going down it’s 17.21, 63.33, and then 184.68
4 0
3 years ago
Patricia goes to shop at her favourite mall for a day. She spends $103, which is 62.4 percent of the total money that she brough
ASHA 777 [7]

Answer: 210.50$

Step-by-step explanation:

8 0
3 years ago
Question 6 (Essay Worth 2 points)<br> Find all polar coordinates of point P = (2, 14°).
andrey2020 [161]

Answer:

(2,14°+360n) and (-2,14°+(2n+1)180°)

Step-by-step explanation:

You start out with (2, 14°)

The polar coordinate can be written as (r, 0) = (r, 0+2nπ) or

(r,0)=(-r,0+2(n=1)π), where n is any integer.

The polar coordinates point : p=(r,0) = (2,14°)

For the positive value of r,  the polar coordinate can be written as

p=(2,14°) = (2,14°+360n°), where n is any integer.

For the negative value of r ,  the polar coordinate can be written as

p=(2,14°) = (-2,14°+(2n+1)180°), where n is any integer.

All the polar coordinates of point P are(2,14°+360n) and (-2,14°+(2n+1)180°).

4 0
3 years ago
In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10
DochEvi [55]

9514 1404 393

Answer:

  55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

  n/sin(N) = p/sin(P)

  n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

  n ≈ 542.246913 . . . . inches

The angle O is ...

  O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

  A = 1/2·np·sin(O)

  A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

7 0
3 years ago
Other questions:
  • Like a good economist, you calculated the opportunity cost of getting your college degree. Suppose that at your university, you
    13·2 answers
  • Simplify 20+40x/20x ?
    13·1 answer
  • According to the given information, quadrilateral RECT is a rectangle. By the definition of a rectangle, all four angles measure
    11·1 answer
  • Please helppppp it’s due in 30 mins
    6·1 answer
  • Eliminate the parameter. X=t^2+1, y=t^2-1
    9·1 answer
  • E^ln 1 =
    14·2 answers
  • 13 A scout group has a raffle to raise money for charity,
    8·1 answer
  • Which expressions are equivalent. <br><br>PLEASE HELP ME !!! (photo given) ​
    8·2 answers
  • Vega swam her leg of the race in 27.98 seconds and Janice swam her leg of the relay race in 25.679 seconds. What was their combi
    11·1 answer
  • NEED WITHIN 50MIUTES IF NOT ANSWERED IN 50 MINUTES THEN I WILL NOT NEED ANSWER ANYMORE!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!