Answer:
h(x) is the NEGATIVE of g(x)
Step-by-step explanation:
Where are the statements? Please share them next time.
h(x) is the NEGATIVE of g(x): h(x) = -x^2 = -g(x)
Answer:
The angle for each slice is 45 degrees.
Step-by-step explanation:
In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:
pizza area = pi*r²
r = d / 2 = 14 /2 = 7 inches
pizza area = pi*(7)² = 153.86 square inches
Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:
slice area = pizza area / 8 = 153.86 / 8 =19.2325 square inches
Each slice is a circle sector, therefore it's area is given by:
slice area = (angle*pi*r²)/360
Therefore we can solve for angle:
19.2325 = (angle*pi*7²)/360
angle*pi*49 = 6923.7
angle = 6923.7 / pi*49 = 45 degrees
The angle for each slice is 45 degrees.
Answer:
1/2 is just saying 0.5
Step-by-step explanation:
half of one is 0.5 or 1/2
Answer:
65 dm and 52 dm
Step-by-step explanation:
If the scale factor of the sides is k, then the scale factor of the areas is k^2.
The scale factor of the areas is (32 dm^2)/(50 dm^2) = 0.64 = k^2
The scale factor of the sides is k = \sqrt(0.64) = 0.8
The perimeters are in a ratio of 1:0.8
x + 0.8x = 117
1.8x = 117
x = 65
0.8x = 0.8(65) = 52
The perimeters are 65 dm and 52 dm.
Using order of operations, we can see we should first solve for the exponents, and then multiply the exponent values by each other.
3²×
9×243
2187
Another way to solve this is to add the exponents together and simply do
. We can only do that in this case, however, because the values are being multiplied by each other.
Either way we solve, we will get
2187 as our final answer.
