Answer: Choice A. 4 times
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Explanation:
We'll be using this formula
to compute the average rate of change (AROC) from x = a to x = b. Note how this is effectively the slope formula because y = f(x).
To start things off, we'll compute the AROC from x = 1 to x = 2.
Do the same for the AROC from x = 3 to x = 4.
The jump from m = 10 to m = 40 is "times 4", which is why choice A is the final answer.
1. Check picture 1. Let the one side of the triangle be a, drop one perpendicular, CD. Then triangle ADB is a right triangle, with hypothenuse a and one side equal to 1/2a. By the Pythegorean theorem, as shown in the picture, the height is
2. if a a=25 ft, then the height is
(ft)
3. consider picture 2. Let the length of the roof be l feet.
one side of the prism (the roof) is a rectangle with dimensions a and l, so the area of one side is a*l
the lateral Area of the roof is 3a*l
the area of the equilateral surfaces is
so the total area of the roof is
4. The total area was the 2 triangular surfaces + the 3 equal lateral rectangular surfaces. Now instead of 3 lateral triangular surfaces, we have 2.
So the total area found previously will be decreased by al
5. so the area now is
6. now a=25 and l=2a=50
Area=
=3041.3 (ft squared)
Answer:
The percent decrease was 20%
Step-by-step explanation:
In order to find this, use the percent change equation.
(New - Old)/(Old) * 100 = % Change
Now input 48 for the New price and 60 for the Old price.
(48 - 60)/(60) * 100 = % Change
12/60 * 100 = % Change
.2 * 100 = % Change
20 = % Change
The product (found when multiplying both numbers together) of 12 and 8 is 96.
The sum (found when adding both numbers together) of 12 and 8 is 20.
The difference (found when subtracting the sum from the product) of 96 and 20 is 76!
Answer:
D
Step-by-step explanation:
