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Helga [31]
3 years ago
9

A recipe calls for 4 cups of flour. Lauren wants to make 20% more servings than the recipe makes. Which expression represents ho

w many cups of flour Lauren should use?
A.1/5*4
B.4/5*4
C.6/5*4
D.9/5*4
Mathematics
1 answer:
ale4655 [162]3 years ago
6 0
C. 6/5 * 4

6/5 = 1.20 where .20 represents the 20% increase in serving.

1.20 * 4 = 4.8 is the total cups of flour needed to increase serving by 20%

4 is the 100% ; the desired increase is 20%; therefore: 100% + 20% = 120% based on 4 cups. So, 120% ÷ 100% = 1.2 * 4 = 4.80 cups
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If the measure of angle θ is 3π/4, the true statements are:

  1. sin(θ) = √2/2.
  2. The measure of the reference angle is 45°.

<h3>How to determine the true statements?</h3>

In Trigonometry, an angle with a magnitude of 3π/4 (radians) is equivalent to 135° (degrees) and it's found in the second quarter. Thus, we would calculate the reference angle for θ in second quarter as follows:

Reference angle = 180 - θ

Reference angle = 180 - 135

Reference angle = 45°.

Also, a terminal point for this angle θ is given by (-√2/2, √2/2) which corresponds to cosine and sine respectively. This ultimately implies that sin(θ) = √2/2.

tan(θ) = cos(θ)/sin(θ)

tan(θ) = [(-√2/2)/(√2/2)]

tan(θ) = -1

In conclusion, we can logically deduce that only options A and B are true statements.

Read more on terminal point here: brainly.com/question/4256586

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Complete Question:

If the measure of angle θ is 3π/4, which statements are true. Select all the correct answers.

A. sin(θ)=sqrt2/2

B. The measure of the reference angle is 45

C. The measure of the reference angle is 30

D. The measure of the reference angle is 60

E. cos(θ)=sqrt2/2

F. tan(θ)=1

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I need help on this question
hammer [34]
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<u>Explanation: </u>

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Looking for even more control, Rockefeller saw the benefits of organizing the transportation to his products. Then, he began to develop his business through vertical integration, in which the company analyses all aspects of the product life cycle, from raw material extraction, through the production process, to the final delivery of the product.

Other industrialists quickly followed, including Gustavus Swift, who at the end of the 19th century used vertical integration to dominate the American meat packaging industry.

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Step-by-step explanation:

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