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mariarad [96]
2 years ago
7

A spherical ornament is placed into a cubic box for shipping so that its surface touches each of the faces of the shown in the d

iagram below. material. If the radius of the spherical ornament is 4 centimeters, about how much space is left in the box to be The remaining volume that is not taken up by the spherical ornament is to be filled with a special packing filled with packing material? A 310.9 cm3 B 268.1 cm3 с 256.0 cm D 243.9 cm3​
Mathematics
1 answer:
Advocard [28]2 years ago
8 0

Answer:

243.9

Step-by-step explanation:

Trust I got it right bro

Trying to help

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A motorboat takes 5 hours to travel 150 miles going upstream. The return trip takes 3 hours going downstream. What is the rate o
lys-0071 [83]

Answer:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that        

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)          

y ----> the rate of the boat in still water (miles per hour)        

we have that          

<em>going upstream              </em>

y-x=\frac{150}{5}        

y-x=30 ----> equation A            

<em>going downstream                                  </em>

y+x=\frac{150}{3}                            

y+x=50 ----> equation B                            

Solve the system of equations by elimination                            

Adds equation A and equation B                                      

y-x=30\\y+x=50\\------\\y+y=30+50\\2y=80\\y=40                    

<em>Find the value of x                                </em>

y+x=50                

40+x=50            

x=10          

therefore          

The rate of the boat in still water is 40 miles per hour      

The rate of the current is 10 miles per hour      

8 0
3 years ago
Convert 6 10/36 to an improper fraction in lowest terms
Nata [24]

ANSWER

\frac{113}{18}

EXPLANATION

We want to convert

6 \frac{10}{36}

to improper fraction.

Let us first reduce the fractional part to get;

6 \frac{5}{18}

We now multiply 6 by 18 and add 5 and then express the result over 18.

This will give us;

=  \frac{6 \times 18 + 5}{18}

=  \frac{108 + 5}{18}

=  \frac{113}{18}

8 0
3 years ago
ITS FOR A TEST PLS HELP
Artemon [7]
I think it’s 4 pairs cause 4 pants is less than 5 shoes and 8 is bigger than 4
8 0
3 years ago
Read 2 more answers
If the weight of a package is multiplied by 3/4 the result is 54 pounds find the weight of the package?
Ede4ka [16]

Answer:

72

Step-by-step explanation:

In order to find the solution to this problem, you would first need to divide 54 by 3, than multiply by 4. You could also multiply 54 by the reciprocal of 3/4, which is 4/3.

6 0
3 years ago
Find the slope of the line. Write in simplest form<br> Show your work
Marina86 [1]

Answer:

The slope is -2.

Step-by-step explanation:

Following the line starting at the x intercept, move down 2 over right 1.

6 0
3 years ago
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