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ioda
3 years ago
13

If the arc length of a sector in the unit circle is 3π/2 , what is the measure of the angle of the sector? A) 0 radians B) π/2 r

adians C) π radians D) 3π/2 radians
Mathematics
2 answers:
Naily [24]3 years ago
8 0
D the answer is already in radians
ziro4ka [17]3 years ago
6 0

Answer: D) \dfrac{3\pi}{2} radians

Step-by-step explanation:

In geometry, the radius of a unit circle = 1 unit.

Given: The arc length of a sector in the unit circle =\dfrac{3\pi}{2}

We know that the formula to calculate length of arc having central angle x and radius r is given by  :-

l=rx

Substitute r= 1  and  l=\dfrac{3\pi}{2} in the above formula , we get

\dfrac{3\pi}{2}=(1)x\\\\\Rightarrow\ x=\dfrac{3\pi}{2}

Hence, the  measure of the angle of the sector =\dfrac{3\pi}{2} radians

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Please help with the question 2 to 18
vladimir1956 [14]
Since these questions all require similar methods of solving, I will only completely work out the first question of each type.

2. To find \frac{7}{10}as a decimal, all we need to do is complete the fraction by dividing the numerator by the denominator.

\frac{7}{10} = 7 / 10 = 0.7

\frac{7}{10} as a decimal is 0.7.

3. To write a fraction as a percentage, we must first convert it into a decimal, the way we did in problem 2.

\frac{13}{20} =0.65

Then to change that number into a percentage, we can either multiply it by 100, or (my personal shortcut) just shift the decimal point over two places to the right.

0.65 = 65%

which is the answer to question 3.
\frac{13}{20} written as a percent is 65%.

4. Writing a percentage as a fraction is a bit easier than writing a fraction as a percentage. All you need to do is place the percentage in the numerator's place of a fraction with 100 as the denominator and simplify.

2%5 = \frac{25}{100}

Since 25 goes into 100 four times, we can simplify this fraction.

\frac{25}{100} = \frac{1}{4}

which is our answer.

25% written as a fraction is \frac{1}{4}.

5. This is the same as problem 3, so I won't show my work for the sake of time.

\frac{2}{5} as a percentage is 40%.

6. This is the same as problem 1, so I will not show steps again.

\frac{3}{20} as a decimal is 0.15.

7. Done similar problems in past. No work shown.

\frac{21}{50} as a percent is 42%.

8. Same as last problem.

\frac{1}{25} as a percent is 4%.

9. Same as number 4.

 6% as a fraction is \frac{3}{50}.

10. Similar in past.

\frac{3}{5} as a percentage is 60%.

11. Same as 6.

\frac{12}{25} as a decimal is 0.48.

12. Done a lot of these so far.

\frac{3}{10} as a percentage is 30%.

13. Just did one like this.

\frac{3}{4} as a percentage is 75%.

14. Same as 4 and 9.

65% as a fraction is \frac{13}{20}.

15. Plenty of these done in past.

\frac{1}{5} as a percentage is 20%.

16. Last problem, and it's just like the one just before this.

\frac{9}{10} written as a percent is 90%.

So there are the results.
Hope that helped! =)
6 0
2 years ago
Read 2 more answers
While watching a football game, Jordan decided to list yardage gained as positive integers and yardage lost as negative integers
koban [17]

Answer:

There is a loss of 2 yards.

Step-by-step explanation:

To find the overall gain or loss, we add or subtract there values.

Initially, we have 0 yards.

Records 14, so 0 + 14 = 14, that is, for now a gain of 14

Then loses 7, so 14 - 7 = 7, for now a gain of 7.

Then, 7 - 9 = - 2, so in all, there is a loss of 2 yards.

3 0
3 years ago
Please help me need help me please please help me
Reil [10]

9514 1404 393

Answer:

  (3)  y = (x -3)²

Step-by-step explanation:

Try the first value of x in each function:

  (1)  y = 3² -3 ≠ 0

  (2)  y = (3 +3)² ≠ 0

  (3)  y = (3 -3)² = 0 . . . . . . matches the table value for f(3)

  (4)  y = 3² +3 ≠ 0

__

The only viable choice is (3).

5 0
2 years ago
PLS ASAP I NEED HELP PLS HELP HELP ANSWER THE QEUSTION IN THE PHOTO
ddd [48]

Answer:

B

Step-by-step explanation:

if BU and BN weren't congruent, then the two triangles couldn't be proved to be congruent

8 0
2 years ago
Umbers to complete the problems below. 14. Marcy lives 1.15 miles away from her grandmother. What fraction represents the distan
joja [24]

Based on the information given, it should be noted that the fraction to represent the distance will be 1 3/20 miles.

<h3>How to convert decimal to fractions.</h3>

From the information given, it was stated that Marcy lives 1.15 miles away from her grandmother.

Therefore, the fraction that represents the distance between Marcy's house and her grandmother's will be:

= 1 + 15/100

= 1 + 3/20

= 1 3/20

Therefore, the fraction is 1 3/20.

Learn more about fractions on:

brainly.com/question/17220365

5 0
2 years ago
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