Answer:
1636 cm^2
Step-by-step explanation:
cut in itwo two shapes a rectangle and isosceles trapizoid
Area - 1/2 hight(base x length)
1/2 x 14(6x17) = 714 cm^2
Area of rectangle- 2(wl x hl x hw) = 922 cm^2
l = 17
w = 13
h = 8
add the areas - 922 + 714 = 1636 cm^2
Step-by-step explanation:
just look at the graphic : what value do we have on the cost side, when we have 1 pounds on the amount side ?
all the answer options specify a price per pound. that is why we only need to focus on the price for one pound.
we see in the graphic, that for 1 pound the price is $4.
just to make sure, we can also work with the directly specified point (0.5, 2), which means that 0.5 pounds cost $2.
and the function is clearly a straight line.
so, every point on the function has the same y/x ratio (slope).
therefore,
2/0.5 = 4
now, what point with x=1 has the same ratio ?
y/1 = 4
y = $4
perfect, the results are identical. so, $4 per pound is the correct answer.
Answer: 28.26
Step-by-step explanation:
What your looking for is called the annulus (or the difference of two concentric circles). You can find the annulus by subtracting the area of the inner circle from the area of the outer circle. Volume of a circle= πr²
You are given the diameter in these problems, so you need radius.
For the first circle (8 in one) :
8/2=4 r=4
A=3.14(4)²
A=50.24
For the second one (10 in one) :
10/2=5 r=5
A=3.14(5)²
A=78.5
To find the measure of the annulus, you subtract those numbers, getting 28.26
Answer:
Step-by-step explanation:
Given
Required
Determine the equation
First, we calculate the intercepts using:
Where
b = Intercept on y axis.
a = Intercept on x axis.
From the question:
The equation becomes:
Multiply through by 3b
We have:
So:
Make b the subject
Substitute in to get the equation
Make 3y the subject
Make y the subject
Answer:
B.) 27ft
Step-by-step explanation:
The labeled points given: (5,18) and (1.5, 7.5)
Slope = (18 - 7.5)/(5-1.5) = 10.5 / 3.5 = 3
A linear model:
y - 18 = 3(x - 5)
y - 18 = 3x - 15
y = 3x + 3
If x = 8 seconds then the distance in feet (y) would be: (plug in x = 8 into the equation y = 3x + 3)
y = 3(8) + 3
y = 24 + 3
y = 27 ft
Answer:
B.) 27ft
