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Andreyy89
1 year ago
11

Find the exact value of sin 5pi/4

Mathematics
1 answer:
AURORKA [14]1 year ago
8 0

The exact value of sin 5π/4 is 0. 0677

<h3>How to find the value</h3>

It is important to note that π = 3. 142

Let's find sin 5π

Substitute the value

sin 5π = sin (5 × 3. 142) = sin 15. 71

= \frac{sin 15. 71}{4}

Find the sine of the number

= \frac{0. 27076}{4}

= 0. 0677

Thus, the exact value of sin 5π/4 is 0. 0677

Learn more about trigonometric ratio here:

brainly.com/question/24349828

#SPJ1

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A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or chicken. Of 200 respondents
kicyunya [14]

Answer:

                          Hamburger       Chicken

Adults                    65                        60         125

children                 55                        20          75

                             120                        80         200

a)What is the probability that a randomly selected individual is an adult?

Total no. of adults = 125

Total no. of people  200

The probability that a randomly selected individual is an adult = \frac{125}{200}=0.625

b) What is the probability that a randomly selected individual is a child and prefers chicken?

No. of child prefers chicken = 20

The probability that a randomly selected individual is a child and prefers chicken= \frac{20}{200}=0.1

c)Given the person is a child, what is the probability that this child prefers a hamburger?

No. of children prefer hamburger = 55

No. of child = 75

The probability that this child prefers a hamburger= \frac{35}{75}=0.46

d) Assume we know that a person has ordered chicken, what is the probability that this individual is an adult?

No. of adults prefer chicken = 60

No. of total people like chicken = 80

A person has ordered chicken, the probability that this individual is an adult= \frac{60}{80}=0.75

3 0
2 years ago
Drinking 8 fluid ounces of milk provides 270.0 milligrams of calcium. How many fluid ounces of milk provide 72.5 milligrams of c
Margarita [4]
Set up a proportion:

\frac{8}{270} = \frac{x}{72.5}

The numerator represents fluid ounces of milk, and the denominator represents milligrams of calcium.

Simplify the first fraction to make multiplication easier:

\frac{8}{270} \div  \frac{2}{2} =  \frac{4}{135}
\frac{4}{135} = \frac{x}{72.5}

Cross multiply the fractions:

72.5 * 4 = 290
135x = 290

Divide both sides by 135 to get x by itself:

290 \div 135 = 2.1
x = 2.1


2.1 fluid ounces of milk provide 72.5 milligrams of calcium.
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Step-by-step explanation:

= 34/5 × 19/4

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