Hey there! And welcome to Brainly.
Remember that the area of a circle is π*radius^2
Remember that there are 360<span>° in a circle.
</span>The angle of the unshaded part would be 360° minus the shaded part of 60<span>°.
</span>360°- 60° = 300<span>°
</span>Since the area of a circle is πr^2, and the section of the circle is 300°, or 300/360 = 5/6 or one full circle, the area of the unshaded region is
(5/6)π*radius^2
= (5/6)π*12^2
= 120π units^2
Please comment if you have any questions!
Well first we need to do whatever is in the parentheses, which in this case is: (5x1/20)
Following the order of operations (PEMDAS) we start with the multiplication, which is (5x1). We know that 5x1=5, so now we can move on to the division:
5/20, which is equal to 0.25
So now that we know the answer to the equation in the parentheses is 0.25, we can solve the whole equation.
Here is the equation simplified:
4 (0.25)
Because there is now operation indicated between the 4 and the parentheses, we can assume that multiplication is implied, so the final equation is as follows:
4x0.25=1
The final answer is: 1
Hope this helps!
8 seconds
The hardest part of this is setting up the equation -- the calculations are pretty easy.
You're told that the time (needed to go from 0 to 100 MPH) is inversely proportional to the horsepower: what this means is that as horsepower gets larger, time gets smaller. This makes sense since the more horsepower you have, the less time it will take you to get to 100 MPH
You can think of this as:
200 HP = 10 seconds
250 HP = x seconds
You set the equation up as:
250 HP / 200 HP = 10 sec / x sec
Now, just cross multiply and solve:
250 / 200 = 10 / x
250x = (200 x 10)
250x = 2000
x = 2000 / 250
x = 8
So, as you increase the horsepower from 200 to 250, the time decreases from 10 seconds to 8 seconds.
Hope this helps!
Good luck.
B.) f(x)=(x^2-3)^2
a.) f(x)= (x^2+6)(x^2+5)
Answer:
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