Answer:
Step-by-step explanation:
The measure of the second angle = n
The measure of the first angle = 2*n
The measure of the third angle = n + 88
==================
n + 2n + n + 88 = 180
4n + 88 = 180
4n = 180 - 88
4n = 92
n = 92/4
n = 23
============
second angle = 23
First angle = 2*23= 46
Third angle = 23 +88 = 111
The total is 180
Answer: The volume of pyramid is 6720 ft³
Step-by-step explanation:
Given: Base edge of a square pyramid = 24 feet
Slant height = 37 feet
Therefore height of pyramid is given by
where h is height, l is slant height and b is base edge of pyramid
So we have
Height of pyramid is 35 feet
Now the volume of a pyramid is given by
where V is volume , b is base edge and h is height of pyramid
Therefore
Hence , the volume of pyramid is 6720 ft³
Answer:
5) a
6) a
7) b
8) d
9) a
10) b
11) c
12) a
Step-by-step explanation:
When it asks for range it is asking for the y values so when you plug in numbers such as 0,1,2 into the equation the y values you get are {0,90,180..}
Overall slope can be found by taking the x and y values of the two given points.
((y value of the second point)-(y value of the first point))/((x value of the second point)-(x value of the first point))
Using (1,2) and (-2, 5) you can do this by plugin in the numbers (5-2)/(-2-1)
So the slope will be 3/-3 = -1
Once you find the slope you can use this to find the equation of a line by pluging in values into y=mx + b
m = slope
y = use this from the points given
x = use this from the points given
Answer:
12 5 dollar bills
20 50 dollar bills
Step-by-step explanation:
Let x = number of five dollar bills
Let y = number of fifty dollar bills
We have a total of 32 bills
x+y = 32
The total amount is 1060
5x+50y = 1060
We have 2 equations and 2 unknowns
x+y = 32
5x+50y = 1060
Multiply the first equation by -5 so we can eliminate x
-5x -5y = -5*32
-5x -5y =-160
Add this to the second equation
5x+50y = 1060
-5x -5y =-160
------------------------
45 y = 900
Divide each side by 45
45y/45 = 900/45
y = 20
There are 20 50 dollar bills
x+y = 32
x+20 = 32
Subtract 20 from each side
x+20-20 = 32-20
x = 12
There are 12 5 dollar bills
