Answer:
The average monthly expenditure is 1,155.35 $.
Step-by-step explanation:
The average of any sequency is given by the sum of it's individual parts divided by the number of parts it has. So in this case the average of monthly expenditure will be the sum of all individual expenditures divided by the number of months. The question can be solved like this:
average = (March+ April + May + June + July+ August)/6
average = (1,249.59 + 1,365.38 + 1,024.3 + 1,100.4 + 992,4 + 1,200.02)/6
average = 1,155.35 $
Answer:
Okay, there are many ways to find if a triangle is congruent.
Let's start with some different terminology.
For the sake of simplicity let us say that S stands for when a side is congruent for both triangles and A stands for when an angle (<) is congruent between both the triangles as well.
So, you need to memorize some rules. If you find that 2 triangles are congruent in the sense of; SSS, SAS, AAS, SAA, and ASA. One thing to remember is that Angle Side Side isn't congruent and is called <em>Donkey Theorem</em>. This theorem only works for right triangles.
One way to know if your triangle isn't congruent is if you can find a part of the triangle that is different.
I know that wasn't the best explanation but I hope it helped anyhow. :)
The answer is
round cake - 82.42 in²
rectangular cake - 114 in²
Round cake:
d = 7 in
r = d/2 = 7 in / 2 = 3.5 in
h = 2 in
The surface are of a cylinder is:
A = 2πr² + 2πrh
The surface are of the round cake (which is actually a cylindrical cake) excluding the bottom is:
A = 2πr² + 2πrh - πr²
A = πr² + 2πrh
A = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2
= 38.46 + 43.96
= 82.42 in²
Rectangular cake:
w = 6 in
l = 9 in
h = 2 in
The surface are of a rectangle is:
A = 2wl + 2wh + 2lh
The surface are of the rectangular cake excluding the bottom is:
A = 2wl + 2wh + 2lh - wl
A = wl + 2wh + 2lh
A = 6 * 9 + 2 * 6 * 2 + 2 * 9 * 2
= 54 + 24 + 36
= 114 in²
Step-by-step explanation: This answer is not mine but JcAlmighty’s so all credits go to them.
Answer:
1. 3
2. 2
3. 2
4. 6
5. No solution
Step-by-step explanation:
2x+3y=8 (1)
-6x+4y=11 (2)
3(1) + (2)
6x + 9y = 24
-6x + 4y = 11
13y = 35
y = 35/13
x = -1/26
3x-y=3 (1)
-2x+2y=6 (2)
2(1) + (2)
6x - 2y = 6
-2x + 2y = 6
4x = 12
x = 3
y = 3(3) - 3 = 6
3x+4y=-10 (1)
5x-2y=18 (2)
(1) + 2(2)
3x + 4y = -10
10x - 4y = 36
13x = 26
x = 2
5x-2y=3 (1)
2x-y=0 (2)
(1) - 2(2)
5x - 2y = 3
-4x + 2y = 0
x = 3
2(3) - y = 0
y = 6
3x+2y=10 (1)
6x+4y=14 (2)
2(1) - (2)
6x + 4y = 20
6x + 4y = 14
0 = 6 is a false statement so no solution
Answer:
x=12
Step-by-step explanation:
We know that a right angle is 90 degrees. So we can make the equation 
Now, we can solve fore X! We can combine 35 and 7 to make the equation 
. In order to isolate x we have to subtract 42 from both sides, getting us the equation 
Now, in order to isolate x we must divide each side by 4, getting us the equation 
. To prove that x=12, we can subsitute x for 12. This means that we can do 
which simplified, is 90=90, making x=12 true. Hope this helps :)
