Answer:
$275
Step-by-step explanation:
This is what I got:
You first <u>convert</u> 2.75% into 0.0275
You then <u>multiply</u> 500 x 0.0275 = 13.75
Finally you <u>multiply</u> 13.75 x 20 = 275
so the answer should be 275
If the measure of central angle is 3π /4 radians, then the area off the shaded sector is 96π square units
The radius of the circle = 16 units
The central angle of the shaded region = 3π /4 radians
The area of the sector = (θ/ 360) × πr^2
Where θ is the central angle of the sector
r is the radius of the sector
Substitute the values in the equation
The area of the sector = ((3π /4) /360) × π × 16^2
Convert the radians to the degrees
= (135/360) × 256π
Multiply the terms
= 96π square units
Hence, the area of the shaded sector is 96π square units
The complete question is
The measure of central angle XYZ is 3 pie / 4 radians. What is the area of the shaded sector?
Learn more about area of the sector here
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It depend upon what you roll it could be 6 because there are 6 faces are the dice
ANSWER

EXPLANATION
To find the expression that is equivalent to

we must first expand

Then we rearrange to find the required expression.
So let's get started.

We expand the parenthesis on the right hand side to get,

We expand again to obtain,

Let us group the cubed terms on the right hand side to get,


We make the cubed terms the subject,

We factor to get,

We expand the bracket on the left hand side to get,

We finally simplify to get,
Hello from MrBillDoesMath!
Answer: x = 7/10
Discussion:
To eliminate fractions multiply each side by 10:
10 ( 9/5x - 2/5 ) = 10 * ( 8x +3)/10 or
10 * ( 9/5)x - 10 *(2/5) = 8x + 3 or
9 *2 x - 2*2 = 8x +3 or
18x - 4 = 8x + 3. Subtract 8x for each side:
18x - 8x - 4 = (8x - 8x) + 3 or
10x -4 = 0x + 3 or
10x -4 = 3 or
10x = 7
x = 7/10
Thank you,
MrB