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brilliants [131]
2 years ago
13

Identify the terminal point for a 30° angle in a unit circle.

Mathematics
1 answer:
Afina-wow [57]2 years ago
4 0

Answer:

The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).

Step-by-step explanation:

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Ruby ate 1/5 of a pie . If there was 10 slices of pie , how many did she eat . <br> SHOW YOUR WORK
Ksju [112]

Ruby eats two slices of pie

Fraction generally represents a part of the whole. The number present in the upper side is called as numerator and the number present below is called as denominator. Fraction can also be represented as a decimal or percentage when required.

Fraction of pie Ruby ate = 1/5

Number of slices present in the pie = 10

numerical value of a fraction = fraction x total number

So, total number of slices of pie that Ruby ate = 10 x 1/5 = 2

Therefore, Ruby eats two slices of pie.

Ruby ate 1/5 of a pie and if there was 10 slices of pie, it implies Ruby eats two slices of pie.

To learn more about fraction refer here

brainly.com/question/11562149

#SPJ1

5 0
1 year ago
A rectangle has a width of (4g) and a length of (28 - 3). The perimeter of the rectangle is 54 units. What is the
natali 33 [55]

Answer:

Step-by-step explanation:

sorry do not .know

6 0
3 years ago
An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry ou
Katyanochek1 [597]

Answer:

t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17  

p_v =P(t_{(5)}  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.  

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

Step-by-step explanation:

Data given and notation  

The mean and sample deviation can be calculated from the following formulas:

\bar X =\frac{\sum_{i=1}^n x_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)}{n-1}}

\bar X=29.35 represent the sample mean  

s=1.365 represent the sample standard deviation  

n=6 sample size  

\mu_o =30 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is lower than 30 or no, the system of hypothesis are :  

Null hypothesis:\mu \geq 30  

Alternative hypothesis:\mu < 30  

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17  

P-value  

We need to calculate the degrees of freedom first given by:  

df=n-1=6-1=5  

Since is a one-side left tailed test the p value would given by:  

p_v =P(t_{(5)}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.  

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

5 0
3 years ago
PLEASE HELP THANK YOU Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make
IgorLugansk [536]

Answer:4 years

Step-by-step explanation:

8 0
2 years ago
Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+3 Write the equation in​ slope-inter
Ray Of Light [21]

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

5 0
3 years ago
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