Answer: The correct answer is Choice D, 43 mm.
When you know 2 sides of a triangle, you can find the range for the final side of the triangle.
First, if we subtract 36 - 23 = 13, the third leg must be more than 13. Otherwise, the two smaller legs would not meet to make the third leg.
Second, if we add 36 + 23 = 59, the third leg must be less than 59. Otherwise, the third leg would reach further than the other two legs could reach.
43 is the only number larger than 13 but smaller than 59 in our list.
1 baker would make 45 cakes in 3 hours
All 3 bakers would make 135 cakes in 3 hours
The original price is 100% of the price. If the price is marked 60% off, then you pay 40% of the original price.
An item costs x dollars.
With the 60% off discount, it now costs 40% of x, or 0.4x.
Now you apply a 30% discount.
For the second discount, consider the price 0.4x to be the new original price. If the price is now discounted 30%, you will pay 70% of the new original price.
Start with 0.4x.
Now calculate 70% of 0.4x.
70% of 0.4x = 0.70 * 0.4x = 0.28x
After applying the 60% discount and the 30% discount, the item that originally cost x now costs 0.28x. 0.28x is the same as 28% of x. The amount you pay is 28% of the original price.
Answer: 28%
First, add 1 on both sides of the equation to begin to isolate x
x/5 = 8
Now, to isolate x, multiply both sides of the equation by 5/1
·
=
= x
x= 7 · 5/1 = 7 · 5 = 35
x = 35
Arc length = radius * central angle (in radians)
central angle = arc length / radius
central angle = 7 / 7
central angle = 1 radian
central angle = 57.296 degrees
