Answer:
6x - 15y = -63
15x -15y = -90
Step-by-step explanation:
We need to multiply the two equations by a constant that will eliminate the y terms.
The two equations are:
2x - 5y = -21
3x - 3y = -18
Let us multiply the first by 3 and the second by 6. The resulting equations will be:
6x - 15y = -63
15x -15y = -90
Note: To solve the system of equations we can simply subtract the first from the second.
The formula for the volume of a cylinder is
... V = π·r²·h
where r is the radius and h is the height.
Filling in the given numbers, we have
... 225π in³ = π·(10 in)²·h
Dividing by the coefficient of h, we get
... (225π in³)/(100π in²) = h
Cancelling common factors, gives
... 2.25 in = h
The appropriate choice is
... A) 2.25 inches
Answer:
You simply end up dividing. 48/3 is equal to 16/1 and 56/8 is equal to 7/1
Step-by-step explanation:
48/3, you simply divide, and you end up with 16, therefore, you would place it over the 1
56/8 you would do the same action. Knowing multiplication may help as well.
7*8 is equal to 56
16*3 is equal to 48
hope this helps:)
1
The first one is correct.
2
A hexagon has the weird property of having the radius and the side being of exactly the same length
The formula is A = 3 * sqrt(3) * a^2 / 2
where a = the side or radius
A = 3 * sqrt(3) * 5^2 / 2
A = 3 * sqrt(3) * 25 / 2
A = 1.5 * sqrt(3) * 25
A = 64.95
A <<<< Answer (the first one is the answer.)
C
This one seems so much more entailed. Do you know what the cos law is? That's what I will use to find c.
c^2 = a^2 + b^2 - 2*ab* cos(C)
C = 33 degrees
a = 2.75 miles
b = 1.32 miles
c^2 = 2.75^2 + 1.32^2 - 2 * 2.75 * 1.32 * cos(33)
c^2 = 9.3049 - 6.0887
c^2 = 3.2162
c = sqrt(3.2162) = 1.7934
Now you have to use this result to get the area. You have to use Heron's formula.
A = sqrt(s * (s - a) * (s - b) * (s - c) )
s = 1/2 the perimeter
s = 1/2 (2.75 + 1.32 + 1.7934)
s = 1/2(5.8634)
s = 2.9317
I'll finish this in the comments. I have to leave for a bit.
Answer:
208
Step-by-step explanation: