Answer:
150.72 cm^2
Step-by-step explanation:
The blue area has an angle of 120 degrees, and 120/360 = 1/3, which shows that the blue area is 1/3 of the circle. In that case, the blue area is just 144pi/3. That simplifies to 48 pi.
48*3.14 = 150.72
Suppose we want to know the total cost of buying x toys and we know that each toy costs $2. The relationship between the cost and the number of toys is
C(x) = 2x
If we purchase 6 toys, the cost would be
C(6) = 2*6 = $12
This is an example where it's adequate to use a single variable (or unknown) to find the value of another variable.
Now suppose we want to know the total cost of buying x toys for $2 each and include the tax rate in the calculations.
If we know the tax rate r, we can compute the total cost as
C(X,r) = 2x*(1 + r/100)
For example, to purchase x=6 toys and the tax rate is r=8%, the total cost is:
C(6,8) = 2*6*(1 + 8/100)=$12.96
If we had tried to calculate this cost without the use of two unknowns, it would have not been possible.
Thus, the pattern to use one or two variables depends on how many factors determine the final result.
Answer: slope is 9
Step-by-step explanation:
Answer:
No solution exists
Step-by-step explanation:
Answer:
(x, y) = (25, 18)
Step-by-step explanation:
Use the angle sum theorem. You can write equations for the right angle and for the linear angle.
(x +11) +(3y) = 90 . . . . sum of angles making the right angle
(y +7) +90 +65 = 180 . . . . sum of angles making the linear angle
From the second equation, we have ...
y = 18 . . . . subtract 162
Substituting into the first equation gives ...
x + 11 + 3(18) = 90
x = 25 . . . . subtract 65
The values of x and y are 25 and 18, respectively.
_____
<em>Check</em>
VQ = 18+7 = 25
QR = 25 +11 = 36
RS = 3·18 = 54
ST = 65
The totals are 36 +54 = 90; 25 +36 +54 +65 = 180, as required.