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Maru [420]
3 years ago
12

Gold in the form of solid cylinders will be molded into solid blocks. Each cylinder has a diameter of 6.18 cm and a height of 6

cm. Each solid block will have a volume of 360 cm3. How many cylinders of gold will it take to mold one block of gold?
Mathematics
1 answer:
nordsb [41]3 years ago
6 0

First we need to find out the volume of one cylinder. We already know the volume of the block of gold is 360cm3

V = Pie * radius squared* height.

Pie is 3.142

radius is 6.18/2 = 3.09 cm

height is 6cm

V = 3.142 * 3.09 * 3.09 * 6

V = 180cm3

Now we divide the volume of this cylinder with the volume of block of gold.

360/180 = 2

So it will take 2 cylinders to mold one block of gold.

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CRITICAL THINKING A neighbor pays you and two friends $90 to paint her garage.
vazorg [7]

Answer:

18:27:45 = 2:3:5

Step-by-step explanation:

7 0
3 years ago
Please answer ASAP ❤️Will earn 15 points (hope your answers are valid )
svetoff [14.1K]

Answer:  The cost of one rose bush is $7 and the cost of one shrub is also $7

Step-by-step explanation:

The situtation can be represented by the systems of the equations.

10x + 4y  =  98   x in this case is the cost of  one rose bushes

9x + 9y =  126     y  is the cost of one shrub.  

Solve the system of equation using the elimination method.

10x +4y = 98

9x + 9y = 126     eliminate the y variable so you will have to multiply 9 on top                                          and -4 down.

9(10x +4) = (98)(9)

-4(9x + 9y) = 126(-4)

You will now have the new two systems of equations

90x +36y = 882

-36x +-36y = -504    Now add the equations

0  + 54x = 378      

        54x = 378

  x= 7

Now we know that the cost of one rose bush is 7 so we will plot it into one of the equations and solve for the cost of one shrub.

90(7) +36y=882

630 +36y = 882

-630            -630

    36y = 252

   y = 7

Check:  10(7) + 4(7)= 98

              70  + 28 = 98

             98= 98  

so one rose bush is actually 7 dollars the same as 1 shrub.

5 0
3 years ago
Evaluate the expression 7x to the power of 2y, when x = 5 and y = 3.
Stells [14]
The answer is 210 hope this helps
6 0
3 years ago
Use the Commutative Property to write an expression equivalent to -5d + 6
Ludmilka [50]

Answer:

6 - 5d is an expression equivalent to -5d + 6 using the commutative Property of Addition.

Step-by-step explanation:

Commutative Property of Addition

We know that we can add two numbers in any order.

For example,

Let 'a' and 'b' be two numbers.

We can add  'a' and 'b' numbers in any order, such as

a + b = b + a

Thus,

a + b = b + a is represented using the commutative Property of Addition.

In our case,

-5d + 6 can be written or represented using the commutative Property of Addition, such as

-5d + 6 = 6 - 5d

It is clear that -5d + 6 can be written in any order such as 6 - 5d.

In other words, 6 - 5d is an expression equivalent to -5d + 6 using the commutative Property of Addition.

Therefore, 6 - 5d is an expression equivalent to -5d + 6 using the commutative Property of Addition.

7 0
3 years ago
If i= square root of -1, what is the value of i^3
Ber [7]

Answer:

- i

Step-by-step explanation:

Set up equation.

i {}^{3}  = y

{i}^{2 }  \times i = y

- 1 \times i = y

- i = y

6 0
3 years ago
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