14 - (-270) - 69 + 10 = 14 + 270 - 59 = 284 - 59 = 225;
<span>(a) What is the capacity of the container?
Volume = length * width * height
V = 4ft * 2ft * 3ft
V = 24 ft</span>³
<span>
(b) How much material was used to make the container?
Surface area = sum of 6 faces of the prism
4 ft x 3 ft = 12 ft</span>² → 12 ft² x 2 = 24 ft²
<span>4 ft x 2 ft = 8 ft</span>² → 8 ft² x 2 = 16 ft²
<span>2 ft x 3 ft = 6 ft</span>² → 6 ft² x 2 = 12 ft²
<span>
Surface area = 24 ft</span>² + 16 ft² + 12 ft² = 52 ft²<span>
</span>
Answer:
3/4
Step-by-step explanation:
First of all, we need to calculate the slope of the line shown. This can be computed as:
where
is the increment along the y-direction
is the increment along the x-direction
We can choose the following two points to calculate the slope of the line shown:
(-3,2) and (0,-2)
And so, the slope of the line shown is
Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:
Using , we find that a line perpendicular to the line shown should have a slope of
T=0 I guess
Hope this helps :)
Sorry if this is wrong
Answer:
a. 4/5
b. 150 and 120
Step-by-step explanation:
To find the scale factor first find two sides that correspond and have measurements. This is the length of each rectangles which are 50 and 40.
The equation for scale factor when scaling down is
SF = Smaller Length / Longer Length
When scaling up it is
SF = Longer / Smaller
We are scaling down so we plug in our numbers.
SF = 40 / 50
Solve for SF = .8 or 4/5.
For permimiter you add all four sides. Multiply the width of the larger pool by the scale factor. 25*.8 = 20
20 + 20 + 40 + 40 = 120
25 + 25 + 50 + 50 = 150