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FrozenT [24]
3 years ago
15

A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $13.20 pe

r pound should be mixed with 10 pounds of trail mix costing $3.90 per pound to create a mixture worth $9.16 per pound
Mathematics
1 answer:
Stells [14]3 years ago
8 0

Answer:

13lbs

Step-by-step explanation:

x = number of pounds of chocolate/lbs

13.20(x) + 3.90(10) = 9.16(x + 10)

13.2x + 39 = 9.16x + 91.6 (x100)

1320x + 3900 = 916x + 9160

404x = 5260

x = 1315/101 = 13.0198.... ⇒ 13lbs

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sukhopar [10]
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3 years ago
Multiple choice. Use the Law of Sines to find the missing angle of the triangle. Find m angle C to the nearest tenth if c = 111
nalin [4]

Answer:

Both A and B are possible.

Step-by-step explanation:

It's both!

This is a might tricky. First you have to find the altitude. You have to determine if this is a real triangle.

Sin(22) = opposite / hypotenuse. The hypotenuse = 111. The angle is 22

opposite = hypotenuse * sin(22)

opposite = 111 * sin(22)

opposite = 41.58  and this is the altitude.

What have you learned?

Since 42 is larger than 41.58 you have 2 solutions to the triangle. One of the angles is acute, and the other one is obtuse. They are supplementary angles.

Sin(C) / c = Sin(A) / a

Sin(C) = c * Sin(22) / 42

Sin(C) = 111*sin(22)/ 42

Sin(C) = .99003

Sin(C) = 81.9

So that's your first answer. The second answer comes from Finding the supplement to this angle

supplement + 81.9 = 180

supplement = 180 - 81.9

supplement = 98.1

7 0
3 years ago
Find the surface area of the triangular prism. *
jekas [21]

Answer:

1032 yds

Step-by-step explanation:

Al =(a+b+c)h

5 0
3 years ago
Pre-Calc<br> It's timed, pls help
Bezzdna [24]

Answer:

I think it's B.

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6 0
3 years ago
Find the missing length of the triangle.
jek_recluse [69]

Answer:

a = 13.8

(missing length of triangle = 13.8 meters)

Step-by-step explanation:

The side lengths of a triangle can be related using the Pythagorean Theorem;

a² + b² = c²

where

a = one side length

b = other side length

c = hypotenuse (long side --across from 90° angle)

So, by plugging our values into the Pythagorean Theorem, we can solve for a:

a = unknown

b = 18.4

c = 23

a² + b² = c²

a² + 18.4² = 23²

a² + 338.56 = 539

    - 338.56   - 338.56       {subtract 338.56 from both sides to isolate a}

a² = 190.44

√a² = √190.44

a = 13.8

so, the missing length of the triangle is 13.8 m

hope this helps!!

6 0
2 years ago
Read 2 more answers
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