MATHEMATICS HIGH SCHOOL

9. A sector of a circle has central angle(\pi )/(4)
and area
(49\pi)/(8)

{cm}^(2)
. Find the radius of the circle​

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Begin with the formula for the area of a sector:

A=(\theta)/(2\pi)*\pi r^2 and we are given everything except the radius, r. Filling in what we know:

(49\pi)/(8)=((\pi)/(4) )/(2\pi)*\pi r^2 and then start the simplification process. I began by dealing with the fraction over a fraction thing, which simplifies the equation to:

(49\pi)/(8)=(1)/(8)\pi r^2 then isolate the r-squared:

(8(49\pi))/(8\pi)=r^2. Canceling out the π's and the 8's leaves us with simply

r² = 49 so

r = 7

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The sum of two odd numbers is 198. Both of the numbers are multiples of 3. One of the numbers is 5 times the other. Which equation could you use to find the two numbers?

Answers

Answer:

The equation used to find the two numbers is:

x+5x=198

and numbers are:

33 and 165

Step-by-step explanation:

The sum of two odd numbers is 198.

One of the numbers is 5 times the other.

Let one number be x

other number=5x

⇒ x+5x=198

⇒ 6x=198

Dividing both sides by 6,we get

x=33

Other number=5x=5×33=165

The equation used to find the two numbers is:

x+5x=198

and numbers are:

33 and 165
You could use m= the lesser number and n as the greater number. Since one is 5 times the other you will start with m+5m=198. Then you will combine like terms so it will become 6m=198. Then you will solve it as a regular equation. m=33 and n=165.

Which of the following are solutions to the equation below?check all that apply. x^2+6x+9=6
A. x=3+√6
B. x=3-√6
C. x=3
D. x=0
E. x=-3+√6
F. x= -3-√6

Answers

make it equal to zero
minus 6 from both sides
x^2+6x+3=0
quadratic formula
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}


x=\frac{-6+/- \sqrt{6^(2)-4(1)(3)} }{2(1)}
x=(-6+/- √(36-12) )/(2)
x=(-6+/- √(24) )/(2)
x=(-6+/- 2√(6) )/(2)
x=-3+/- √(6)


E and F are answer

Which type of data is best represented by a histogram?A.
data sets with some common elements

B.
parts of a total amount

C.
data that are compared using bars

D.
frequency distributions for certain intervals

Answers

its b i just answred that question can you message me and help me with math

What is the answer to this equation? 2x+2x+2=4x+2

Answers

Answer:

0

Step-by-step explanation:

You start off with 2x + 2x + 2 = 4x + 2.

You would then add like terms, as shown below.

4x + 2 = 4x + 2

Now, you would subtract 4x from both sides, and that would leave you with:

2 = 2

You would now subtract 2 from both sides, which would now leave you with 0.

An experiment consists of tossing a coin and drawing a card, with the card-drawing stage dependent on the result of the coin toss. If heads occurs, then a card is selected at random from the clubs and spades suits. If tails occurs, then a card is selected at random from the hearts and diamonds suits. What is the size of the sample space of this two-stage experiment?

Answers

well .5 for coin toss and with 52 cards in deck and clubs and spades makes it 26 so its 1/26 then those are your probabilities.

Answer:th answer is 7

Step-by-step explanation:

the answer is 7

Domain definition in math

Answers

All the values that go into a function.

The output values are called the range.

Domain → Function → Range

Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the domain is simply those values {1,2,3,...}
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