Answer in the 10-1 quiz intro to circles, central angles, arcs, and chord

Answers

Answer 1

Answer:

1.5

Step-by-step explanation:

Answer 2

The answers are given in the solution below.

What is a circle?

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given is topics related to circle and its part we need to answer the question asked,

1) to 7) Given is a circle T,

a) Radius = TS, QT and RT all are the radius

b) Diameter = QS

c) Chord = PS

d) Central angle = ∠ RTQ

e) Minor arc = arc QR

f) Major arc = arc QSR

g) Semicircle = QPS

8) to 9) :-

a) Circle with radius 18 in :-

Circumference = 2π×radius = 2×3.14×18 = 113.04 in

Area = π·radius² = 3.14×18² = 1017.36 in²

b) Circle with diameter 25 m :-

Circumference = 2π×radius = 2×3.14×12.5 = 78.5 m

Area = π·radius² = 3.14×12.5² = 490.625 m²

10) The circle is having an area of 201.06 cm², we need to find the circumference and diameter,

Area = π·radius² = 201.06 cm²

radius² = 201.06 / 3.14

= 64

radius = 8 cm

Diameter = 16 cm

Circumference = 2π×radius = 2×3.14×8 = 50.24 cm

11) :-

Circle with radius P :-

The rule we will use here is :- arcs equal to central angle opposite to it, and full circle measures 360°

a) ∠ KPL = 90°

So, by linear pair sum, ∠ NPL = 90°

Now, by angle substitution law, ∠ NPM + ∠ MPL = 90°

∠ NPM = 27°

By using vertical angles rule, ∠ JPK = ∠ NPM = 27°

Therefore, arc JK = 27°

b) arc NJ = 180° - 27° = 153°

c) arc JL = 90°+27° = 117°

d) arc KNM = 360°-(90°+63°) = 207°

e) arc MJL = 360°-63° = 297°

f) arc JLK = 360°-27° = 333°

12) :-

arc CD + arc AD = 180°

Therefore,

19x-49°+5x+37° = 180°

24x-12 = 180°

24x = 192°

x = 8

Therefore,

arc CD = 5x+37 = 74°

13) :-

Length of an arc = central angle / 360° × 2π×radius

= 232° / 360° × 2 × 3.14 × 5 = 20.23 mm

14) :-

= 73° / 360° × 2 × 3.14 × 14.5 = 18.46 ft

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Related Questions

Many schools have a regular outdoor school one day a week.
At Mosby, they often walk 125 meters from the school to the mountain top Jonsberget (140 masl) which is located directly behind the school.
How high is the school above sea level?

Answers

Answer:

The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.

Step-by-step explanation:

Which polynomial represents (3x2 + x - 4)(2x - 5)?

A.6x3 + 13x2 + 3x - 20

B.6x3 - 13x2 - 13x + 20

C.6x3 + 13x2 + 3x + 20

D6x3 - 13x2 - 13x - 20

Answers

D and I hope this helps

The required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.

here,
= (3x² + x - 4)(2x - 5)
= [6x³-13x² - 13z + 20]

Thus, the required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

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Complete the missing parts of the table for the following function. y=7x​

Answers

Answers:   49,   1,   49

Those values go in the blanks from left to right

=====================================================

Explanation:

The rule we use is x^(-k) = 1/(x^k)

That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.

Similarly, 7^(-2) = 1/(7^2) = 1/49 is the y value when x = -2. So you'll type 49 into the first box to fill in that missing denominator.

Raising any nonzero value to the zeroth power leads to 1. That rule is x^0 = 1 where x can be anything you want but it can't be zero. Therefore 7^0 = 1 goes in the second box.

Lastly, 7^2 = 7*7 = 49 will go in the third box.

Pls help meh!!!!
Which regression line properly describes the data relationship in the scatterplot?

Answers

Answer:

1

Step-by-step explanation:

depends if you have a table , to pick the right one always choose a one that pass more through and between the points and the one that is straight

Explain how an equation is like a balanced hanger plzzz answer due today

Answers

A hanger stays balanced when the weights on both sides are equal.

An equation can be compared to a balanced hanger. We can change the equation, but for a true equation to remain true, the same thing must be done to both sides of the equal sign.

HELLP PLZ ZZZZZZ FOR MY HOMEWORK......

Answers

Answer:

4 books

Step-by-step explanation:

$3.80 divided by 95cents = 4

Answer: 4


Step by step explanation: 3.80 divided by 0.95=4

Brainliest? Lol

Look at the two right rectangular prisms.
1 ft
Ift
1 ft
2 ft
2.5 ft
What is the volume of solid in cube feet

Answers

where’s the two right rectangular prisms?

Answer:

I cannot tell you the answer because there isn't adequate information.

But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)

1.) The check number on a check:

A.) identifies the bank and is located at the bottom left corner of the check.

B.) identifies the bank and is located at the top right corner of the check.

C.) identifies the transaction and is located at the bottom left corner of the check.

D.) identifies the transaction and is located at the top right corner of the check.

E.) None of these choices are correct.

Answers

Answer:

D) Identifies the transaction and is located at the top right corner of the check

Step-by-step explanation:

The check number on a check is the number located at the top right corner of the check, and it can also be found at the bottom of the check, located in lower right corner after the routing number and the account number

The check number aids in the tracking and identifying bank transactions such as to identify checks that the bank has processed and to know outstanding checks that are yet to be processed.

The check number also aids in balancing of the checkbook.

Therefore, the check number on a check identifies the transactions and is located at the top right corner of the check.

HEEEEEEEEELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Look at the image.

Step-by-step explanation:

(36 ÷ 4) - (36 ÷ 9)

9 - 4

5

(8 × 3) - 12 = 12

24 - 12

12

if a, b, c, and d represent positive real numbers, what is the inequality when solved for x?

Answers

The inequality equation is x ≥ ( by - c - d ) / a

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

by - d ≤ ax + c    be equation (1)

On simplifying the equation , we get

Subtracting c on both sides of the equation , we get

by - d - c ≤ ax

And , ax ≥ by - d - c

Divide by a on both sides of the equation , we get

x ≥ ( by - c - d ) / 2

Hence , the inequality is x ≥ ( by - c - d ) / a

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Sam saves $500 at a rate of 4%. What is the total amount of money she has after 20 years?

Answers

Answer:

$10,400

Step-by-step explanation:

If the mass of a metal bar which is 3.25 m long is 15 kg. Find its mass per meter

Answers

Step-by-step explanation:

If 3.25m is equal to 15kg then what about 1m?

3.25m = 15kg

1m =?

Then by cross multiplication we get 4.615 kg

Henry's Pizza sells pizza by the slice for lunch. An employee recorded how many slices of each type of pizza were sold today.
onion 4
pepperoni 36
cheese 20
supreme 6
veggie 16
What is the experimental probability that the first slice sold during lunch tomorrow will be a slice of cheese pizza?

Answers

24% (24/100)

Got answer by adding all of them together and dividing by 20

Answer:

10/41

Step-by-step explanation:

You have 30 minutes to exercise at the gym. The Stairmaster burns 7 calories per minute, while the stationary bike burns 12 calories per minute. You want to burn 290 calories total using both machines. How much time should you spend on each machine?

Answers

Answer:

14 min on Stairmaster

16 min on Bike

Step-by-step explanation:

s = time on Stairmaster

b = time on bike

System of Equations:

s + b = 30

7s + 12b = 290

let 's' = 30-b

Substitution Method:

7(30-b) + 12b = 290

210 - 7b + 12b = 290

5b + 210 = 290

5b = 80

b = 16

s + 16 = 30

s = 14

A regular polygon is a polygon with blank sides and angles

Answers

Regular polygon is a polygon with equal sides and equal angles!!!

help pls i can give brainliest?
Identify the solution to the system of equations.

Answers

It would be (2,2) because it’s the point where the two equations intersect.

What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?

Answers

Answer:

-0.5

Step-by-step explanation:

(3-2)=1

(-4-1)=-5

1÷(-5)= -0.5


Use the distance formula to find the distance to the nearest tenth, from R17, -2) to W(-2, 3).​

Answers

Answer:

17.7

Step-by-step explanation:

I'm assuming you meant R(17, -2) to W(-2, 3).  Here the x-coordinate changes by 17 - (-2), or 19, and the y-coordinate by 5.  Think of these as the legs of a right triangle.  The distance between these points is the length of the hypotenuse of this triangle:  d = √(5^2 + 17^2)

or √314, which, to the nearest tenth is 17.7.

If there are 4 outcomes, what is the
probability that I get tails then tails?

Answers

Answer:

50%

Step-by-step explanation:

because it is a two side coin

PLEASE HELP DUE TODAYY

Answers

Answer:

y <= 0

Step-by-step explanation:

it's shaded when the value of y is 0 or below 0 (the vertical axis)

Below the line is shaded so it would have to be one of the less than or equal to answer choices. There is nothing above 0 and x is infinity. Therefore the answer is Y is less than or equal to zero

Is 0.35 grater than 300 mL

Answers

Answer:

yes

Step-by-step explanation:

yes

What percentage would my grade be if I got a 50% on a project that is worth 20% of my grade and my grade is 87%/B+.

How much would my grade go down?

PLEASE HELP ME

Answers

Answer:

you got 21.5/50 on final grade

and aslo follow me for more information

9.
Find the slope of the line.



A. -1/4

B. 4

C. 1/4

D. -4

Answers

Answer:

9. A. -1/4

Step-by-step explanation:

Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.

If this has helped you please mark as brainliest

Answer:

A. -1/4

Step-by-step explanation:

Type the expression that results from the following series
of steps:
Start with x and multiply by itself.

Answers

Answer: x^2 (the ^ represents that the next number is an exponent)

Step-by-step explanation:

Any number squared (to the power of 2) is just itself multiplied by itself. Remember, multiplication is repeated addition and exponents are repeated multiplication.

I really DONT know what’s function

Answers

Answer:

its basically the relationship between sets of numbers. the anwser is D if the line on the graph is curved it is a function and if the number repeat on the x value it is a function.

-by-step explanation:


Find the rate of change from the table.

Answers

Answer:   15

==================================================

We're asked to find the slope:

m = slope

m = (y2-y1)/(x2-x1)

m = (50-20)/(4-2)

m = 30/2

m = 15

The rate of change is 15. Each time x goes up by 1, y increases by 15.

slope = rise/run = 15/1

rise = 15, run = 1

I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.

Please help me and show working. I have a test very soon.

Answers

Answer:

c = 3

Step-by-step explanation:

Given

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]

Multiply through by (c - 2)(c + 2) to clear the fractions

2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side

2c + 4 - 3c + 6 = 7

- c + 10 = 7 ( subtract 10 from both sides )

- c = - 3 ( multiply both sides by - 1 )

c = 3

The equation y = (-16t – 2)(t-1) represents the height in feet of a beach ball thrown by a child as a function of time, `t`, in seconds.

from What height is the beach ball thrown? explain or show your reasoning

Answers

2 ft

Step-by-step explanation:

The height from which the beach ball was thrown happens when t = 0. So setting t = 0 to get y, we get

y = [-16(0) - 2](0 - 1)

= (-2)(-1)

= 2 ft

Therefore, the ball was thrown from a height of 2 ft.

I 1) James ran 1.8 miles, Kyle ran 1 miles, and Frank ran 1.85 miles. Put the boys in order from the
shortest distance run to the longest distance run.
2
6
5
1 2) Write an algebraic expression for the phrase "19 less than x squared."
4
3
2
-2
3) When Michael woke up in the morning, the temperature was - 3. F. Later that day
the temperature was 10' F, so Michael said that the temperature had gone up
7 degrees. Is he correct? Explain why or why not.
--3

Answers

Answer:

lkjhgvcghjklm, bvhgyiuoklmnbgjhjk;.m, nb

Step-by-step explanation:

Consider the equation:
X^2-6 = 2 – 18x
1) Rewrite the equation by completing the square
2) What are the solutions to the equation?

Answers

The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².

The solutions to the equation is x = -9 + √89 or x = -9 - √89.

What is a quadratic equation?

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 6 = 2 - 18x

x² + 18x = 8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² + 18x + (18/2)² = 8 + (18/2)²

x² + 18x + 81 = 8 + 81

Part 2.

x² + 18x + 81 = 89

x² + 9x + 9x + 81 = 89

x(x + 9) + 9(x + 9) = 89

(x + 9)(x + 9) = 89

x = -9 + √89 or x = -9 - √89.

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