Find the standard form of the equation of the parabola with a focus at (-4, 0) and a directrix at x = 4.
Answer:
1/8
Step-by-step explanation:
To find which bag weight Carla needs, the first step is to find the total weight of the bags shown in the line plot.
There are three -pound bags.
There are six -pound bags.
There are four -pound bags.
Multiply the weight and number of each bag to find the total weight of each different weight bag.
Now, add the three totals.
Finally, subtract the total weight from four pounds in order to find which weight Carla needs.
So, Carla should pick one -pound bag of candy to total four pounds.
Answer:
It is a GP.
Step-by-step explanation:
a = 3
r = 2
a(n) term = ar^n
As it increases as multiples, it is a geometric progression or a GP.
Answer:
198 cm²
Step-by-step explanation:
We are given the dimensions of a rectangular prism;
3cm 9cm and 6cm
We are required to determine its surface area;
We need to know that;
Surface area of a rectangular prism is given by;
A = 2(WL+HL+WH)
Where L, W and H are length , width and height respectively;
Assuming;
Width is 3 cm
Length is 9 cm, and
Height is 6 cm
Then;
Area = 2 ( (3×9) + (6×9) + (3×6))
= 2(99)
= 198 cm²
Therefore, the area of the rectangular prism is 198 cm²
Answer:
The answer to your question is 116.53 ft
Step-by-step explanation:
Data
length = 29 ft
width = 21 ft
π = 3.14
Process
1.- Calculate perimeter of the rectangle and subtract 1 length
Perimeter of the rectangle = 2l + 2w - l
Perimeter of the rectangle = 2(29) + 2(21) - 29
= 58 + 42 - 29
= 71 ft
2.- Calculate the perimeter of a semicircle
Perimeter = 2πr/2 = πr
radius = r = 29/2
= 14.5 ft
Perimeter = (3.14)(14.5)
= 45.53 ft
3.- Calculate the total length of the fence
fence = 45.53 + 71
= 116.53 ft
