Formula for volume of a rectangular pyramid is V=1/3Bh
B is length x width
Answer:
The total area of the figure is 52 in²
Step-by-step explanation:
This figure requires you to find the area of the square and the triangle separately, and then subtract the area of the triangle from the area of the square.
Find the area of the square
l=8in
A=l²
A=8²
A=64 in²
The area of the square is 64 in²
Find the area of the triangle
b=8in
h=3in
A=(bh)/2
A=(8*3)/2
A=24/2
A=12 in²
The area of the triangle is 64 in²
Now we need to subtract the areas
64-12=52 in²
The total area of the figure is 52 in²
Answer:
okay so you have to take the steps you learned in math and apply because this is actually hard and you just have to really take your time and annotate the exerpt
Step-by-step explanation:
Answer:
Part 1) The graph in the attached figure
Part 2) The equation of the line is ![y=-x+7](https://tex.z-dn.net/?f=y%3D-x%2B7)
Step-by-step explanation:
Part 1) we know that
To graph a line we need at least two points
we have
(5,2) and (0,7)
Plot the points
Connect then and join to graph the line
The graph in the attached figure
Part 2) Determine the equation of the line
Find the slope
Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
see the graph
The formula to calculate the slope between two points is equal to
![m=\frac{rise}{run}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7Brise%7D%7Brun%7D)
we have
![rise=-5\\run=5](https://tex.z-dn.net/?f=rise%3D-5%5C%5Crun%3D5)
substitute
![m=\frac{-5}{5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-5%7D%7B5%7D)
![m=-1](https://tex.z-dn.net/?f=m%3D-1)
Is negative because is a a decreasing function
as the value of x increases, the value of y decreases
The equation of the line in slope intercept form is equal to
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
we have
![m=-1](https://tex.z-dn.net/?f=m%3D-1)
----> the y-intercept is given see the graph
substitute
![y=-x+7](https://tex.z-dn.net/?f=y%3D-x%2B7)
Answer:
The answer is $0.69. This is because there are 32 ounces in the bottle, and $22.08/32=0.69, or $0.69.
Step-by-step explanation: