All categories

3 years ago

.can you help please

Mathematics

1 answer:

sweet [91]3 years ago

3 0

Answer:

38.81cm³

Step-by-step explanation:

Volume of a sphere = 4/3πr³

Diameter is 4.2

radius= 4.2/2 = 2.1 or 21/10

4/3 × 22/7 × 21/10 × 21/10 × 21/10

= 4851/125

= 38.808

≈38.81cm³

You might be interested in

A family built a house and wanted to put down in their rectangular yard. The sod costs $0.32 per square foot plus 10 per square

sammy [17]

Answer:

The total cost of purchasing and laying sods in the rectangular yard is $2,146.67

Step-by-step explanation:

We are given the following in the question:

Dimensions of rectangular yard:

Length = 50 feet

Width = 30 feet

Area of rectangular yard =

$A = \text{Length}\times \text{Width}\\A = 50\times 30\\A = 1500\text{ square feet}$

Cost of sod = $0.32 per square foot

Total cost of sod =

$C_1 = \text{Unit cost of sod}\times \text{Area of yard}\\C_1 = 0.32\times 1500\\C_1 = 480\$$

Cost of laying sods = $10 per square yard

Total cost of laying sod =

$C_2 = \text{Unit cost of laying sod}\times \text{Area of yard}\\\\\text{1 square yard}=\dfrac{1}{9}\text{Square foot}\\\\C_2 = 10\times \dfrac{1500}{9}\\\\C_2 = 1666.67\$$

Total cost of purchasing and laying the sod =

$C = C_1 + C_2\\C = 480 +1666.67\\C = \$2,146.67$

Thus, the total cost of purchasing and laying sods in the rectangular yard is $2,146.67

3 0

3 years ago

In a huge chess tournament, 66 games were played. Find out how many people were involved if it is known that each participant pl

Elanso [62]

There was 12 players

7 0

3 years ago

Printing machine A and printing machine B print the same newspaper printout, but machine B prints at half the rate of machine A.

klemol [59]

Answer:

The answer is below

Step-by-step explanation:

Let us assume the rate of printing in machine A is x per hour and the rate for machine B is y. Given that machine B prints at half the rate of machine A, therefore:

y = (1/2)x (1)

Also, both machine produces 200 newspaper printouts, and both operate at different times for a total of 4 hours. Therefore:

200/x + 200/y = 4 (2)

Put y = (1/2)x in equation:

$\frac{200}{x}+\frac{200}{(\frac{1}{2} )x}=4\\ \\ \frac{200}{x}+\frac{400}{x}=4\\\\Multiply\ through\ by\ x:\\\\200+400=4x\\\\4x=600\\\\x=150$

Put x = 150 in equation y:

y=(1/2)150 = 75

Therefore the rate of machine A is 150 newspapers per hour while that of machine B is 75 newspapers per hour

6 0

3 years ago

Drew puechsed 3book each diffrent price for 24 doller the cost of each book was a multiple of 4. What coul be the prices of the

blsea [12.9K]

B*4+c*4+a*4=24
a=1
b=2
c=3

8 0

3 years ago

C(x)=x^2+6x+14 find vertex form

nalin [4]

Answer:

c(x)=(x+3)^2+5

Step-by-step explanation:

To complete the square, the same value needs to be added to both sides.

So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression

C(x) =x^2 +6x + 9 + 14

Since 9 was added to the right-hand side also add 9 to the left-hand side

C(x) +9= x^2 +6x + 9 + 14

Using a^2 + 2ab + b^2=(a+b)^2, factor the expression

C(x)+9= (x+3)^2 +14

Move constant to the right-hand side and change its sign

C(x)=(x+3)^2 +14 - 9

Subtract the numbers

C(x)= (x+3)^2 +5

6 0

3 years ago

.can you help please ​

.can you help please