Answer:
K = (1/2)r^2(sin(θ) +θ)
Step-by-step explanation:
The area of the triangle to the left is ...
A1 = (1/2)r^2·sin(180°-θ) = (1/2)r^2·sin(θ)
The area of the sector to the right is ...
A2 = (1/2)r^2θ
so the total area of the blue shaded region is ...
K = A1 + A2 = (1/2)r^2·sin(θ) + (1/2)r^2·θ
K = (1/2)r^2(sin(θ) +θ)
Answer:
2130 cm^3
Step-by-step explanation:
you multiply 71 by 30 and the answer is 2130 with the units as cm cubed which is shown as cm^3
Answer: Choice A) -3
Work Shown:
Which leads us to choice A. In the second step, I used the rule that is equivalent to . For each equation, the b is the base. Note how logs undo exponents and vice versa.
Answer:
Total number of quarters=10
Total number of nickels=19
Step-by-step explanation:
The expression for the total value of money you have is;
Quarters have a value of= $0.25
Nickels have a value of= $0.05
Total value=(value of quarters×number of quarters)+(value of nickels×number of nickels)
where;
Total value=$3.45
Value of a quarter=$0.25
number of quarters=x
Value of a nickel=0.05
number of nickels=y, but y=x+9
replacing;
3.45=(0.25×x)+0.05(x+9)
3.45=0.25 x+0.05 x+0.45
3.45=0.3 x+0.45
0.3 x=3.45-0.45
0.3 x=3
x=3/0.3
x=10
y=x+9=10+9=19
Total number of quarters=10
Total number of nickels=19