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Rufina [12.5K]
3 years ago
15

Solving a mixture problem involving percent

Mathematics
1 answer:
Travka [436]3 years ago
3 0

Answer:

52%

Step-by-step explanation:

40% nuts of 5kg = 40% × 5 = 2kg

56% nuts of 15kg = 56% × 15kg = 8.4kg

total of nuts in mixture = 2 + 8.4 = 10.4kg

10.4kg of nuts in 20kg = 10.4/20 = 52%

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Approximate the unknown side x in the diagram. <br> A. 3.356<br> B. 5.222<br> C. 3.064<br> D. 4.737
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Answer:

The answer to your question is x = 3.356 cm

Step-by-step explanation:

This is a right triangle so we can use the Trigonometric functions to solve this problem.

Data

Ф = 40°

Adjacent side = 4 cm

Opposite side = x

Process

1.- We must know the lenght of the opposite side so we must use the tangent to solve it.

    tangent Ф = \frac{Opposite side}{Adjacent side}

2.- Solve it for Opposite side

    Opposite side = tanФ x Adjacent side

     Opposite side = tan 40° x 4

     Opposite side = 0.839 x 4

     Opposite side = 3.356

     Opposite side = x = 3.356 cm

5 0
3 years ago
Read 2 more answers
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