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4 years ago

Convert the angle 0 = 228° to radians. Express your answer exactly.

Mathematics

1 answer:

Blizzard [7]4 years ago

6 0

Answer:

$\frac{19 \pi}{15}$

Step-by-step explanation:

To convert a given angle from degrees to radians, we multiply by

$\frac{ \pi}{180}$

The given degree measure is 228°

Its radian equivalence is

$\frac{ \pi}{180} \times 228 = \frac{19 \pi}{15}$

Therefore the exact value of 228° is

$\frac{19 \pi}{15} \: radians$

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Makovka662 [10]

Answer:

x = 20

Step-by-step explanation:

Length 6 corresponds to length 15

Length 8 corresponds to length x

15 ÷ 6 = 2.5

8 • 2.5 = 20

x = 20

2.5 is the scale factor of the small triangle to the big triangle.

4 0

3 years ago

There are 300 raffle tickets. The prizes are as follows: First prize - voucher for meal at local restaurant Second prize - food

Andru [333]

Answer:

2/299

Step-by-step explanation:

there were 300 tickets and 1 is out . 299 tickets left

There were 3 prizes and 1 is out. 2 prizes left.

The probability of winning ANY prize when next ticket is drawn is

P(prize) =2/299

6 0

3 years ago

(20 points) A random sample of =1200 n = 1200 registered voters and found that 620 would vote for the Republican candidate in a

LenaWriter [7]

Answer:

The test statistic is Z = 1.157

Step-by-step explanation:

Given that:

The sample size n = 1200

The sample proportion of those that will vote for the Republican candidate is represented by $\hat p = \dfrac{x}{n}$

$\hat p = \dfrac{620}{1200}$

$\hat p =0.5167$

The null and the alternative hypothesis can be computed as:

$H_o: P=0.50 \\ \\ H_a :P>0.50$

The formula for the one-sample Z-test for the population proportion can be expressed as:

$Z = \dfrac{\hat p - P_o}{\sqrt{\dfrac{P_o(1-P_o)}{n}}}$

$Z = \dfrac{0.5167 - 0.5}{\sqrt{\dfrac{0.5(1-0.5)}{1200}}}$

$Z = \dfrac{0.0167}{\sqrt{\dfrac{0.5(0.5)}{1200}}}$

$Z = \dfrac{0.0167}{\sqrt{\dfrac{0.25}{1200}}}$

$Z = \dfrac{0.0167}{\sqrt{2.08333333\times10^{-4}}}$

Z = 1.157

4 0

3 years ago

WILL MARK BRAINLIST please help with #12

goldfiish [28.3K]

Y=2x
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3 years ago

Choose the expression that best represents the phrase below.

Arada [10]

20 more than the price of the meal is 20+p. Option-B is correct.

Given that,

The expression we have to get from 20 more than the price of the meal is.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. There are four types of mathematical operations: addition, subtraction, multiplication, and division.

Take the price of the meal as p.

20 more than the price of the meal is 20+p.

Therefore, 20 more than the price of the meal is 20+p. Option-B is correct.

To learn more about price visit: brainly.com/question/13731474

#SPJ1

7 0

1 year ago