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nikitadnepr [17]
3 years ago
6

Find the measure of a 6. 102 78 46 = [?]

Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0

Answer:

102°

Step-by-step explanation:

They're still corresponding angles... have you read any of these explanations?...

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1. A movie theater designs two bags to hold 96 cubic inches of popcorn. a. Find the height of each bag b. Which bag should the t
MrRissso [65]
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 in
Bag 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 in

Part (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 in²
Bag 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 in²
From 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 :)



6 0
3 years ago
A cheetah can run up to 75 miles per hour how many yards per minute is this
Nataly [62]
75 miles per hour means,
75 miles per 60 minutes.
And this makes 1.25 miles per 1 minute.
1 mile is 1760 yards.
So 1.25 miles is ;
1.25 * 1760 = 2200 yards.
Answer is 2200 yards per minute.
6 0
3 years ago
You can buy 3 pounds of strawberries for 3.99 at Kroger knowing this what is the unit rate per pound of strawberries and how muc
Varvara68 [4.7K]

Answer:

  • 1.33 per pound
  • 6.65 for 5 pounds

Step-by-step explanation:

To find cost per pound, divide cost by pounds.

  3.99/(3 lb) = 1.33/lb . . . . cost per pound

The cost of 5 pounds will be found by multiplying that by 5:

  (1.33/lb)(5 lb) = 6.65 . . . cost of 5 pounds

7 0
2 years ago
How do u simplify this expression |-7|
snow_tiger [21]
The absolute value is 7.
7 0
3 years ago
Read 2 more answers
Find the length of side AG<br> Give your answer to 1 decimal place
Firlakuza [10]

Answer:

AC = 17.3

Step-by-step explanation:

AC = √c2 - b2

= √18.6862701378782 - 72

= √300.17669166575

= 17.32561

= 17.3

6 0
3 years ago
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