MATHEMATICS HIGH SCHOOL

Both circle Q and circle R have a central angle measuring 110°. The area of circle Q's sector is 4π cm2, and the area of circle R's sector is 9π cm2. The radius of circle Q is 7 cm. Which is the radius of circle R

Answers

Answer 1
Answer:

The area of circle Q's sector = 4π cm^2

the area of circle R's sector = 9π cm^2

The radius of circle Q = 7 cm

We need to find the radius of circle R that is x

Given : Both circle Q and circle R have a central angle measuring 110°

So the radius of circle R to the radius of circle Q is equal to the square root (area of circle R to the radius of circle Q)

(Radius-R)/(Radius-Q) = \sqrt{(area-R)/(area-Q) }

Plug in all the values

(x)/(7) = \sqrt{( 9\pi)/( 4\pi )

(x)/(7) = \sqrt{(9)/(4)}

x = (3)/(2) * 7 = 10.5

Therefore , the radius of circle R = 10.5 cm
Answer 2
Answer: The answer is 10.5 :)

Related Questions

County X has a population density of 250 people per square mile. The totalpopulation of the county is 150,000. Which geometric model could be the shape ofcounty X?A a parallelogram with a base of 25 miles and a height of 25 milesB a rectangle that is 15 miles long and 45 miles wideC a right triangle with a leg that is 30 miles long and a hypotenuse that is50 miles longD a trapezoid with base lengths of 10 miles and 30 miles and a height of25 miles
Add. Write your answer in simplest form. 3/8 + 2/5
1 Identify whether the series summation of 16 open parentheses 5 close parentheses to the I minus 1 power from 1 to infinity is a convergent or divergent geometric series and find the sum, if possible.A This is a convergent geometric series. The sum cannot be found. (I think this) B This is a divergent geometric series. The sum cannot be found. C This is a convergent geometric series. The sum is –4. D This is a divergent geometric series. The sum is –4.
Select the correct answer from the drop-down menu.Consider the absolute value function /x)=-+2-2.The vertex of the function isResetNext
A survey organization, as part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years, but with a smaller percentage of participants. One of these surveys estimates with 90% confidence that the mean household income in the U.S. falls between $69,702 and $69,920. Find the point estimate for mean U.S. household income. (Enter your answer as a whole number.)

Find the length of the base of a square pyramid if the volume is 1,024 cubic inches and has a height of 12 inches.

Answers

Hello,

Let 's x the length of the pyramid:
V=x²*h/3
V=1024 and h=12
So x²*12/3=1024
==>x²=1024*3/12
==>x²=256
==>x²=16²
==> x=16 for (x=-16 must be exclude <0)

Help me solve this problem please

Answers

Answer:

c

Step-by-step explanation:

22. The sampling distribution of refers to: (a) the distribution of the various sample sizes which might be used in a given study (b) the distribution of the different possible values of the sample mean together with their respective probabilities of occurrence (c) the distribution of the values of the items in the population (d) the distribution of the values of the items actually selected in a given sample (e) none of the above

Answers

Answer:

Option b

Step-by-step explanation:

As per central limit theorem, we know that if we draw a number of samples randomly from the population the sample mean for all the mean of samples will follow a normal distribution provided large samples are drawn.

The distribution which the sample mean follows is called the sampling distribution.

The distribution of various sample sizes will not follow any distribution. Hence I option wrong.  

Distribution of values in the population are parameters and they do not follow any distribution.  Option d , the values of the items selected will not follow any distribution

Only correct option is

(b) the distribution of the different possible values of the sample mean together with their respective probabilities of occurrence

Algebratic simplify exponential expression 2x-5

Answers

2x-5
+2 +2
x=3
2(3)-5=1

How many zeros does the function f(x) = 2x14 − 14x6 27x3 − 13x 12 have?

Answers

Answer:

14 zeros

Step-by-step explanation:

For functions, the highest power is the amount of zeros. The highest power in this equation is 14 so it has 14 zeros.

Answer:

The function f(x) has 14 zeros.

Step-by-step explanation:

We know that by Fundamental Theorem of Algebra :

Any polynomial equation of degree n with complex coefficient has exactly 'n' complex roots counting multiplicity.

Here we are given a polynomial function f(x) as:

f(x)=2x^(14)-14x^6+27x^3-13x+12

So, this polynomial function is of degree 14.

Hence, the given polynomial function f(x) has exactly 14 zeros.

Which of the following numbers has a prime factorization of 3 x 3 x 3?9
12
21
27

Answers

Not completely sure on this one, but the answer I would go with is C (21) because if you factor it out it is 3x7. Both of these numbers are prime. The only thing that is confusing me in your question is the 3x3x3. if you are just asking what 3x3x3 is, then it is 9... so A.

Which of the following numbers has a prime factorization of 3 x 3 x 3?Answer: 27
Other Questions
752988 rounded to the nearest ten thousand
For the function y=-3+4cos (5pi/6 (x+4)), what is the minimum value
Find zHelp me please
Which of the following expressions is used when referring to the outcomes of two variables?a. mutually exclusive b. joint probabilities c. independent events d. sample spaces Please select the best answer from the choices provided A B C D Mark this and return Save and Exit Next