Answer:
(This is for the pizza question)The area of the box is 900 cm, so subtract 900 cm from the area of the circle which is (3.14)[times radius which is 12(half of 24) squared] [144*3.14] So the area of the circle is 452.16 which you get from the area formula of pi times radius squared.
Step-by-step explanation:
Find the area of the box first, then subtract it by the area of the circle. (please thank me for it)
3, 6, 12,<u> 24 ,</u> <u>48 </u> <=== answer
Answer:27 pieces were sold at the original price.
63 pieces were sold at the new price
Step-by-step explanation:
Let x represent the number of pieces of pottery that was sold at the original price.
Let y represent the number of pieces of pottery that was sold at the new price.
They sold some of their pottery at the original price of $9.50 for each piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x
They later decreased the price of each piece by $2. This means that the new price was 9.5 - 2 = $7.5
This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y
If they sold all 90 pieces and took in $729, then the equations are
x + y = 90
9.5x + 7.5y = 729 - - - - - - - - - -1
Substituting x = 90 - y into equation 1, it becomes
9.5(90 - y) + 7.5y = 729
855 - 9.5y + 7.5y = 729
- 9.5y + 7.5y = 729 - 855
- 2y = - 126
y = - 126/- 2 = 63
Substituting y = 63 into x = 90 - y, it becomes
x = 90 - 63 = 27
I'll solve it algebraically
x+y=4
x-3y=12
multiply first equatoin by -1 and add to second
-x-y=-4
<u>x-3y=12 +</u>
0x-4y=8
-4y=8
divide both sides by -4
y=-2
sub back
x+y=4
x+-2=4
add 2 to both sides
x=6
x=6
y=-2
(6,-2)
Step-by-step explanation:
I don't know if this is the right way to so it, but I would do it like this
since a triangle has 180 degrees, the angles all have to add up to 180
So 180 = a + b + c
we already know a, its 95
So 180 = 95 + b + c
now we know the equation for b, so we'll just put it there instead of the b, and since the angles are the same, we should put it instead of c too
180 = 95 + (4x-15) + (4x-15)
now subtract 95 from both sides
85 = (4x-15) + (4x-15)
add the xs and numbers together
85 = 8x - 30
now add the 30 to both sides
115 = 8x
divide by 8
your x is 14 3/8 or 14.375 or 115/8
that's not your angle, that's your x
