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goldenfox [79]
3 years ago
7

(1) An M&Ms factory produces 109,500,000 M&M’s every day. About ¼ of its M&Ms are blue. Find the number of blue M&am

p;M’s produced at this factory
Mathematics
1 answer:
Gemiola [76]3 years ago
4 0

Answer:

27,375,000

Step-by-step explanation:

Simply divide the total by 4.

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The perimeter of a triangular field is 120m. Two of the sides are 21m and 40m.Calculate the largest angle of the field.
Mama L [17]

Answer:

the largest angle of the field is 149⁰

Step-by-step explanation:

Given;

perimeter of the triangular filed, P = 120 m

length of two known sides, a and b = 21 m and 40 m respectively

The length of the third side is calculated as follows;

a + b + c = P

21 m  + 40 m  + c = 120 m

61 m +  c = 120 m

c = 120 m - 61 m

c = 59 m

                         B

                     ↓            ↓  

                  ↓                          ↓

                ↓                                       ↓

            A →  →  → →  →  → →  → →    →    →  C

Consider ABC as the triangular field;

Angle A is calculated by applying cosine rule;

a^2 = b^2 + c^2 - 2bc \ Cos A\\\\Cos \ A = \frac{b^2 + c^2 - a^2}{2bc} \\\\Cos \ A = \frac{40^2 + 59^2 - 21^2}{2 \times 40 \times 59} \\\\Cos \ A = 0.983\\\\A = Cos ^{-1} (0.983)\\\\A = 10.6 \ ^0

Angle B is calculated as follows;

Cos \ B = \frac{a^2 + c^2 - b^2}{2ac} \\\\Cos \ B = \frac{21^2 + 59^2 - 40^2}{2 \times 21 \times 59} \\\\Cos \ B = 0.937\\\\B= Cos ^{-1} (0.937)\\\\B = 20.5 \ ^0

Angle C is calculated as follows;

Cos \ C = \frac{a^2 + b^2 - c^2}{2ab} \\\\Cos \ C = \frac{21^2 + 40^2 - 59^2}{2 \times 21 \times 40} \\\\Cos \ C = -0.857\\\\C = Cos ^{-1} (-0.857)\\\\C = 149\ ^0

Therefore, the largest angle of the field is 149⁰.

       

8 0
3 years ago
A) Work out the value of 23 + 52
Elena L [17]

Answer:

Step-by-step explanation :

a) 75

b) 39

C) 182

3 0
2 years ago
Please answer I have a freaking e in my math class​
sp2606 [1]

Answer: I would answer but the image is blocked for me- can you type the problem by any chance?

Step-by-step explanation:

3 0
2 years ago
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Drag each equation to show if it could be a correct first step to solving the equation 2(x+7)=36.
DanielleElmas [232]
The second is Yes
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And last x=11
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3 years ago
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Which is the graph of g(x) = x - 16?
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