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GenaCL600 [577]
2 years ago
7

Brian Orcard supplies apple to markets in Albany. The apple can be packed into a large bag that holds 9 apples or a small bag th

at holds 6 apples.
A market orderd 140 apples packed in small bags. How many small bags can be filled? Divide using a eectangle area modle and show the remainder.

The orchard needa to fill an order for 156 apples using both large and small bags. What is the least number of each type of baf that could be used if wach bag is completely filled?​

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
4 0

Answer:

10 large bags and 11 small bags because 10*9=90 and 156-90=66 and 6*11=66 so 90+66=156

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

EZ

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More math help pls. :)
Step2247 [10]

By using trigonometric relations, we will see that x = 9.97°.

<h3>How to find the missing angle?</h3>

First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus).

Where:

  • θ = 26°
  • Adjacent cathetus = k
  • Opposite cathetus  = 55ft.

Replacing that we get:

Tan(26°) = 50ft/k

Solving this for k, we get:

k = 55ft/tan(26°) = 112.8 ft

Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:

  • angle = x
  • opposite cathetus = 55ft
  • adjacent cathetus = 112.8ft + 200ft = 312.8ft.

Then we have:

Tan(x) = (55ft/312.8ft)

Using the inverse tangent function in both sides, we get:

x = Atan(55ft/312.8ft) = 9.97°

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

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Read 2 more answers
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