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il63 [147K]
2 years ago
6

Find an angle between 0 and 2π that is coterminal with 10pi/3

Mathematics
1 answer:
azamat2 years ago
8 0

In this question we have to find an angle between 0 and 2π that is coterminal with 10pi/3 .

To find the coterminal angle, we need to subtract 2 pi from 10 pi/3. That is

= \frac{10 \pi }{3} - 2 \pi

Multiplying numerator and denominator of 2 pi by 3

= \frac{10 \pi}{3} -\frac{6 \pi}{3} = \frac{4 \pi}{3}

And that's the required coterminal angle between 0 and 2pi.

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Audryn left a $12 tip on a $68.73 restaurant bill. What percent tip did she leave? Round to the nearest tenth of a percent.
Fiesta28 [93]
So, if we take 68.73 to be the 100%, what is 12 in percentage off of it?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
68.73&100\\
12&p
\end{array}\implies \cfrac{68.73}{12}=\cfrac{100}{p}\implies p=\cfrac{12\cdot 100}{68.73}

seems Audryn is being generous, she probably got the silverware and the maple leaves tablecloth.
4 0
3 years ago
Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?
emmasim [6.3K]

Using <u>linear function concepts</u>, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which represents by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • The explanatory variable fat is the input.
  • The response variable calories is the output.

The equation is:

y = 121 + 1.42x

  • The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
  • The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at brainly.com/question/16302622

8 0
2 years ago
What is the standard deviation for the data set?
Ksenya-84 [330]

10.5 is the standard deviation for the data set to the nearest tenth hope this helps;)

8 0
3 years ago
Read 2 more answers
BRAINLIEST ANSWER!!
Maksim231197 [3]

Answer:

1. 30(8.75) + 11t = 400

2. 12.5 hours

Step-by-step explanation:

1. What is given is you work for 30 hours per week at a gas station for $8.75 an hour. You also work as a landscaper for $11 an hour. You want to a make a total of $400 per week.

30 hours and $8.75 an hour would be equivalent to 30(8.75)

We don’t know how many hours you work as a landscaper but you earn $11 an hour, which is equivalent to 11t

Finally, you want to earn a total of $400 a week, which means the sum equals 400

30(8.75) + 11t = 400

2. 30(8.75) = 262.5

400 - 262.5 = 137.5

137.5 / 11 = 12.5

7 0
3 years ago
Read 2 more answers
Pls I need help !!!!!!
Marianna [84]

Answer: m1 m2 and m5 all equal to 135 as well

While m3 m6 and m4 are 45

Why: since they are on a line the two angles together should equal 180. So 180- 135= 45

3 0
2 years ago
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