In order to solve the equation solve for the area of the square and then the area of each of the triangles. For the first one the squares area is 256 while the triangles area is 136. Because there is four triangles multiply 136 by four which is 544. Add 256 and 544 to get the final answer of 800
Answer:
-70 degrees
Step-by-step explanation:
What you need to do is subtract 10 from -58 to find the difference;
-58-12 = -70 degrees
Answer:
A) 8.5 miles per gallon
Step-by-step explanation:
Given


Required
The IQR
This is calculated as:

Calculate 



Remove bracket

This means that:
is the mean of 5th and 6th item
From the given data:


So, we have:




Calculate 



Remove bracket

This means that:
is the mean of 15th and 16th item
From the data:


So:



Recall that:


Answer:
(-2,-1,-3)
Step-by-step explanation:
5x-4y-3z=3
x+y-z=0
x=3y+1
Multiply the second equation by -3
-3(x+y-z)=0*3
-3x-3y+3z =0
Add this to the first equation to eliminate z
5x-4y-3z=3
-3x-3y+3z =0
--------------------
2x-7y =3
Substitute x =3y+1 into the above equation
2(3y+1) -7y=3
Distribute the 2
6y +2 -7y = 3
Combine like terms
-y+2 =3
Subtract 2 from each side
-y+2-2 = 3-2
-y = 1
Multiply by -1
-y*-1 = 1*-1
y =-1
We need to find x
x=3y+1
x =3(-1) +1
x =-3+1
x= -2
Now we need to find z
x+y-z=0
-2+-1-z=0
-3-z=0
Add z to each side
-3-z+z=0+z
-3=z
x=-2, y=-1 z=-3
(-2,-1,-3)
Answer: 11 girls were not selected.
Step-by-step explanation:
First let's find out how many girls their were in total. In this case their are 23.
Let's subtract 12 from 23. That ends up to be 11. (<em>subtract 23 from 11 / 11 from 23)</em>
-23
-12
-------
11