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3 years ago

2. Trapezoid WXYZ is located at W(2.1) X[3.

Mathematics

1 answer:

Nataliya [291]3 years ago

5 0

Point Y is (6, -1)

Subtract 6 from the y coordinate in point y since it is translated down. keep the x coordinate since it is only being translated up and down, or by the y axis

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The image shows three tennis balls enclosed in a cylindrical can. Choose all that are correct. The volume of a single tennis bal

Fynjy0 [20]

Answer:

The volume of a single tennis ball is $14.14\ in^{3}$

The volume of three tennis balls is $42.42\ in^{3}$

Step-by-step explanation:

Step 1

Find the volume of a single tennis ball

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

where r is the radius of the sphere

In this problem

$r=3/2=1.5\ in$

substitute

$V=\frac{4}{3}\pi (1.5)^{3}$

$V=14.14\ in^{3}$

Step 2

Find the volume of the can

we know that

the volume of the cylinder is equal to

$V=\pi r^{2} h$

where r is the radius of the cylinder

h is the height of the cylinder

in this problem we have

$r=3/2=1.5\ in$

$h=8.4\ in$

substitute

$V=\pi (1.5)^{2}(8.4)$

$V=59.38\ in^{3}$

Statement

case A) The volume of a single tennis ball is $14.14\ in^{3}$

The statement is true

See the procedure in Step 1

case B) The volume of the can is $56.55\ in^{3}$

The statement is false

The volume of the can is $59.38\ in^{3}$ --> see the procedure Step 2

case C) The empty space inside the can is $14.13\ in^{3}$

The statement is false

To find the empty space subtract the volume of three tennis ball from the volume of the can

$59.38\ in^{3}-3*14.14\ in^{3}=16.96\ in^{3}$

case D) The volume of three tennis balls is $42.42\ in^{3}$

The statement is true

To find the volume of three tennis balls multiply the volume of a single tennis ball by three

$14.14*3=42.42\ in^{3}$

8 0

3 years ago

Walnuts for Sale. It costs $4.80 to buy 3/4 pound of chopped walnuts. How much would it cost to purchase 8.2 pounds of walnuts?

brilliants [131]

4.80/(3/4) = 6.4 per pound
8.2 * 6.4 = $52.48
Solution: $52.48 for 8.2 pounds

7 0

3 years ago

Read 2 more answers

Worth lot of points :))))

maxonik [38]

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

-4/3 = (6 - y)/[4-(-2)]

-4/3 = (6-y)/6

(-4/3)×6 = 6-y

-8 = 6-y

y = 6 + 8

= 14

7 0

3 years ago

Read 2 more answers

the standard addition algorithm below is being used to add three two-digit numbers 4z + 27 + x 5 equals y 14. If x, y, and z eac

Studentka2010 [4]

For the units positions of all numbers we have:
$z+7+5=4 \\ z+12=4$
From this we can conclude that total sum of these three numbers is 14. Number 1 we carry to next step. So we have:
$z+12=14 \\ z=2$

For the tens positions of all numbers we have:
$4+2+x+1=1 \\ 7+x=1$
The extra number 1 on left side comes from the carry from last step. Similar to ones position we know that total sum is 11.
$7+x=11 \\ x=4$

Now we insert x and z to find out y:
$42+27+45=y14 \\ 114=y14 \\ y=1$

Now we need to find out the product of these three numbers:
$x*y*z=4*1*2=8$

3 0

3 years ago

What's the answer BchbhbdbhdjbcdjcnjcjndJncjjj

Olenka [21]

Answer: 1,3,6

Explanation:

7 0

3 years ago