Answer:
Step-by-step explanation:
It is a rectangle, so both sides are equal. Thus 2x+6=5x-9
SOLVE, SUBTRACT 2x
6=3x-9 THEN ADD 9
15=3x THEN divide by 3
5=x
Plug in x to either side 2(5)+6, to get side length of 16
Then area of a rectangle is lengthxwidth=AREA
substitute what you know 16(y)=48
Divide by 16, thus y=3
The answer is C. 155
First find the measure of arc YZ.
The arc of WYZ is equal 180 degrees. So first add 25 to 85. Then subtract that to 180.
25+85=110
180-110=70.
Next add 70 to 85 since you want to find the measure of ZX.
70+85=155
So measure of ZX is equal to 155 degrees
Answer:
x = 10
Step-by-step explanation:
Since both equations give y in terms of x, equate the right sides
3x - 28 = - 2x + 22 ( add 2x to both sides )
5x - 28 = 22 ( add 28 to both sides )
5x = 50 ( divide both sides by 5 )
x = 10
Add 2 to both sides and x will equal 2
The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>
<em><u>Recall:</u></em>
Volume of a spherical shape = 
Volume of a rectangular prism = 
<em><u>Given:</u></em>
Diameter of basketball = 9.5 in.
Radius of the ball = 1/2 of 9.5 = 4.75 in.
Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)
Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft
- First, find the volume of the basketball:
Volume of ball = 
Volume of basketball = 
- Convert to


<em>Therefore,</em>
- Volume of basketball =

- Find the volume of the office (rectangular prism):
Volume of the office = 
- Number of basket ball that will fill the office = Volume of office / volume of basketball
Number of basket ball that will fill the office = 
Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.
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