Consider the circle with a 4 centimeter radius. If the length of major arc RT is 64 9 π, what is the measure of ∠RST?

Mathematics

2 answers:

grin007 [14]4 years ago

8 0

25 degrees is the correct answer

Drupady [299]4 years ago

6 0

Answer: The answer in 20° in USA TestPrep

Step-by-step explanation:

S=2πr× n°/360°

n°=360s/2πr= 360(64π/9)/2π(4)=320

This,∆H=360-320=40

Then, ∆RST=1/2 ∆H= 1/2(40)=20

You might be interested in

Please help with two and four

bagirrra123 [75]

Question 1)
575 = 100%
57.5= 10%
57.5 × 2= 115 (20%)

question 2)
575=100%
57.5=10%
115=20%
5.75=1%.

5.75 × 4=22.8 (4%)

22.8 (4%) + 115 (20%) =137.8(24%) which would be rounded up to 138

hope this helps♡♡~~Chyna

4 0

3 years ago

Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 22, 18, 1

BigorU [14]

Answer:

a: Sample mean: 20, Sample standard deviation: 1.732

b: 19.13 <µ < 20.87

c: 18.84< µ < 21.16

d: as the confidence level increases, the interval becomes wider

Step-by-step explanation:

a: Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.

Sample standard deviation is the square root of the variance

See the first attached photo for the calculations of these values.

We need to create a 80% confidence interval for the population. Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.

Look for the column on the t-distribution chart that has "area in two tails" of 0.20 (80%), and row 7 (degree of freedom)

The t-value is 1.415

See the second attached photo for the construction of the confidence interval

We need to create a 90% confidence interval for the population. Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.

Look for the column on the t-distribution chart that has "area in two tails" of 0.10 (90%), and row 7 (degree of freedom)

The t-value is 1.895

See the third attached photo for the construction of the confidence interval