Answer:
<h2>
QS = 42</h2><h2>
</h2>
Step-by-step explanation:
R is midpoint
|<---------------- QS -------------------->|
Q---------------------R--------------------S
8x - 51 3x - 6
find: QS
QR = RS
8x - 51 = 3x - 6
8x - 3x = 51 - 6
5x = 45
x = 45/5
x = 9
QS = QR + RS
QS = (8x - 51) + (3x - 6)
plugin the value of x=9 into the equation above:
QS = (8(9) - 51) + (3(9) - 6)
QS = 72 - 51 + 27 - 6
QS = 42
I have attached a screenshot with the images of the two popcorn bags used by the theater.
Part (a):Bag A:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 3 in
width = 4 in
Therefore:
96 = 3 * 4 * height
96 = 12 * height
height of bag A = 8 inBag B:Volume of bag = area of base * height
Volume of bag = length * width * height
We have:
volume = 96 in³
length = 4 in
width = 4 in
Therefore:
96 = 4 * 4 * height
96 = 16 * height
height of bag B = 6 inPart (b):To determine the amount of paper needed, we will need to calculate the surface of each bag. Excluding the top base, each bag will have 5 faces. Four side faces (each two opposite are equal) and the base.
Bag A:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (3*4) + 2(8*4) + 2(8*3)
Surface area = 12 + 64 + 48
Surface area of bag A = 124 in²Bag B:Surface area = area of base + 2*area of front face + 2*area of side face
Surface area = (4*4) + 2(6*4) + 2(6*4)
Surface area = 16 + 48 + 48
Surface area of bag B = 112 in²From the above calculations, we can deduce that
the theater should choose bag B in order to reduce the amount of paper needed.
Hope this helps :)
Answer: C. C=-14
Step-by-step explanation:
Given
(1/6)c+1/3=-2
Multiply both sides by the LCM of 1/6 and 1/3(Least Common Multiple)
6[(1/6)c+1/3]=(-2)(6)
c+2=-12
Subtract 2 on both sides
c+2-2=-12-2
c=-14
Hope this helps!! :)
Please let me know if you have any questions
Answer:
182
Step-by-step explanation:
Sum = a(r^n -1) ÷ r - 1
1(-3^6 - 1) ÷ -3 -1
= 182
r = t2 ÷ t1 * since they stated that it is geometric
<1=97°
steps:
<1+83=180 co interior angle
<1=180-83=97°