What is the measure of theta

What Is The Measure Of Theta

Answers

Answer 1

Answer:

B. 3 radians

Step-by-step explanation:

We are given the following components of the circle.

Radius of circle (r) = 4 cm

Length of arc (l) = 12 cm

Lenght of arc of a circle is given by the following formula:

[tex] l = \frac{\theta}{2\pi^c}\times 2\pi r[/tex]

Substituting the values of l and r in the above formula, we find:

[tex] 12 = \frac{\theta}{2\pi^c }\times 2\pi \times 4\\\\

\therefore 12 = \theta \times 4\\\\

\theta = \frac{12}{4}\\\\

\theta = 3 \: radians[/tex]


Related Questions

find the number of possible outcomes for creating an outfit from 4 pairs of pants 3 shirts and 4 pairs of shoes

Answers

Answer:

48

Step-by-step explanation:

This is a counting problem, so we can use the counting principle. Since there are 4 pairs of pants, 3 shirts, and 4 pairs of shoes, we do 4 * 3 * 4, which equals 48.

Using the Fundamental Counting Theorem, it is found that there are 48 possible outcomes for the outfit.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, the options are as follows:

There are 4 possible pairs of paints, hence [tex]n_1 = 4[/tex].There are 3 shirts, hence [tex]n_2 = 3[/tex].There are 4 pairs of shoes, hence [tex]n_3 = 4[/tex].

Hence, the total number of options given by:

[tex]N = 4 \times 3 \times 4 = 48[/tex].

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SOMEONE PLEASE HELP ASAP! Normal distribution models what type of variable? A.discrete random variable B.random variable C.discrete continuous variable D.random continuous variable

Answers

Answer: D. random continuous variable

A normal distribution has its center at the mean and its spread is determined by the standard deviation. For the standard normal distribution, its mean is 0 and standard deviation is 1. It is in the shape of a bell curve. Most of the values fall in or around 0, forming the peak around this area. As you move away from 0, the values are less frequent which explains the drop-off. The distribution is continuous as you can have any real number (decimal or whole). It's also random because of the nature of statistics.

[tex]If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t circle s) (x)?[/tex]

Answers

Answer:

my boi

Step-by-step explanation:

Find the vertex of the parabola whose equation is y = x2 - 4x + 6.

Answers

Answer:

(2,2)

Step-by-step explanation:

Vertex form is

y = (x-2)^2 + 2

Identify the pair of angles shown in the figure.

Answers

Answer:

Complementary

Step-by-step explanation:

These angles add up to 90° and when two angles add up to 90° they are called complementary angles.

Hope this helps!

Plx give brainliest

Answer:

complementary angles

Step-by-step explanation:

The two angles add to 90 degrees, which makes them complementary angles

Use the method of substitution to solve the system of equations. please show your work! y=534x y=74.80x+1,419 Thank you so much! If you could also solve it graphically that would be best but if not thats okay!

Answers

Answer:

( 3, 1650 ), Where x = 3, and y = 1650 -

Approximately

Step-by-step explanation:

Take a look at the procedure below;

[tex]y = 534x,\\y = 74.80x + 1,419\\\\y = 534x,\\y - 74.8x = 1,419\\\\( 534x ) - 74.8x = 1,419\\459.2x = 1,419\\x = ( About ) 3\\\\y = 534 * ( x ),\\y = 534 * ( 3.1 ),\\y = ( About ) 1650[/tex]

We first converted the second equation into standard form, by subtracting 74.8x on either side. Afterwards we substituted 534x in replacement of y in this second equation, and solved for x. Knowing the value of x, it was substituted back into the first equation to solve for the value of y. Hence, the resulting solution is ( 3, 1650 ) - approximately.

* I apologize for not including a graph *

{[9+3) divided by 2] - 2} times [3 times (14 - 5)] =

Answers

Answer:

Solve the numbers in the brackets first

9+3 = 12

12/2 = 6

14-5 = 9

9 × 3 = 27

Take the answers got from the two brackets and multiply them together

6×27 = 162

Answer:

Step-by-step explanation:

Use PEDMAS

First the inner parenthesis

i) (9+3) & (14-5)

ii) [12 ÷ 2] & [3*9]

iii) {6- 2}

{[(9 + 3) ÷ 2] - 2} * [3*(14 - 5)]={[12 ÷ 2] - 2} * [3*9]

                                            = {6-2}* [27]

                                             = 4 * 27

                                             = 108

Compute $121_3+2122_3-1200_3-2111_3$. Express your answer in base 3.

Answers

Answer:

-221 base 3

Step-by-step explanation:

We are to calculate the value of the numbers in base 3. One of the ways to do that is to first convert each number to base 10. Do the arithmetic, then convert back to base 3.

121 base 3 +2122 base 3 - 1200 base 3 - 2111 base 3

Let's convert to base10

See attachment for details

From the workings,

121 base 3 + 2122 base 3 - 1200 base 3 - 2111 base 3 = -221 base 3

Please answer this asap this is very easy and im in a rush

Answers

Answer:

1/10

Step-by-step explanation:

Of means multiply and is means equals

3/5 * 1/6 =

3/30

1/10

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

In order to find the answer to this question you need to multiply the numerators by each other and the denominators by each other and reduce if needed.

[tex]\frac{3}{5} \times\frac{1}{6}[/tex]

[tex]3\times1=3[/tex]

[tex]5\times6=30[/tex]

[tex]=\frac{3}{30}[/tex]

Now reduce:

[tex]3 \div3=1[/tex]

[tex]30\div3=10[/tex]

[tex]=\frac{1}{10}[/tex]

Hope this helps.

quick question What is total surface area and lateral surface area? I will give brainlest its due tmrw

Answers

Answer:

Total surface area is the sum of the areas of all of the faces include tops, bottoms (base) and the remaining surfaces that enclose the solid.

Lateral surface area is the total area of a solid object but does not include the base.

Step-by-step explanation:

Is 313756 divisible by 3?​

Answers

Answer:

No

Step-by-step explanation:

You can find if a number is divisible by three by adding its digits. 3+1+3+7+5+6 is equal to 25, which is not divisible by three.

The number is not divisible by 3.

It is required to find the divisibility.

What is decimal?

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. Fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.

Given:

Divisibility test of 3

If sum of digits of number is divisible by 3 the the number is divisible by 3.

Sum of digits = 3+1+3+7+5+6

=25

We can find if a number is divisible by three by adding its digits.  is equal to 25, which is not divisible by three.

Therefore, the number is not divisible by 3.

Learn more details about decimal here:

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What are 2 ratios equivalent to 24:9

Answers

8:3

24 / 3 = 8

9 / 3 = 3

48:18

48 / 2 = 24

18 / 2 = 9

Answer:

A. 8:3

24/3 = 8

9/3 = 3

B. 48:18

48/2 = 24

18/2 = 9

Hope this helps out !!!!!!

Which equation represents the graphed function?
0 -3x + 2 = y
0 -2/3x+2=y
O 3/2x-3=y
O 2x - 3 = y

Answers

Answer:

3/2x-3 =y

Step-by-step explanation:

when x = 0 the equation should equal -3 because the y intercept is (0,-3) which narrows down to the last two.

The x-intercept is (2,0) input these values into the equation and the third option gives these values.

[tex]\frac{3}{2}[/tex](2) -3 = y ,

3-3=y

y=0 Therefore the third option is the answer

plz answer asap
solve and explain clearly.

Answers

Answer:

replace X with 1/2

it says 1/2 cubed divided by 4

(1/2^3) ÷ 4

(1/8) ÷ 4

= 1/32

Answer:

1/32

hope this is right

Tom owns a square plot of land. He knows that the area of the plot is between 3000 and 3100
square meters.

Answers

Answer:

Side of land = 55 m (Approx)

Step-by-step explanation:

Note: The given question is incomplete.

Given:

The land is in square shape.

Area of the land = between 3000m² and 3100m²

Find:

Approx side of the land.

Computation:

Side of land = [tex]\sqrt{Area\ of\ land}[/tex]

Side of land = [tex]\sqrt{3,000} \leq Side \leq \sqrt{3,100}[/tex]

Side of land =[tex]54.77\leq side \leq 55.67[/tex]

Therefore, Side of land = 55 m (Approx)

CORRECT ANSWER GETS BRAINLIEST!! PLZ ANSWER FAST!!

Answers

Answer:

Option 1

Step-by-step explanation:

Option 2 is reflected but not translated

Option 3 is reflected over the y axis

Option 1 is reflected over the x axis and translated

Plz helppppp: Geometry

Answers

*Answer:

Super Easy for Geometry!

Step-by-step explanation:

So, the combination of all those angles is 360*, since a complete circle is 360*. Now, I don't know what I have to find, but I assume its x.

So, the sum of all those angles is 360*. This means that we just need to add all them together, solve, and we have our x.

Now, see that square where in the angle? That generally means it is 90*.

Thus:

[tex]90+4x+x+x=360[/tex]

Now, let's solve!

[tex]6x=270\\x=45[/tex]

So, there is your x!

Hope this helps!

(P.S. This Geometry is very, very, very easy compared to everything else in it(Trigonometry, Tangents, and Heron's Formula))

13) The table below shows
a list of students in math
classes based on their
grade and class. If you
pick a student at random,
what is the probability
they are in Algebra 2 given
that they are a 10th
grader?

Answers

Answer:

0.09

Step-by-step explanation:

The total number of students is 666

and 60 10th grade students offer algebra 2

60÷666

0.09

Answer:

60/257 or .233

Step-by-step explanation:

P (algebra 2 | 10th grade) = # algebra 2 in 10th grade / # 10th graders

Total number of 10th graders = 85 + 100 + 60 + 10 + 2 = 257

Algebra 2 students in 10th grade = 60 (look at the intersection of the 10th  grade column and the algebra 2 row)

P (algebra 2 | 10th grade) = 60/257

I will give brainliest answer

Answers

Answer:

theres google for this

Step-by-step explanation:

37.5

Answer:

I think it should be A=37.5 I'm not so sure,hope this helps tho!

Step-by-step explanation:

If p = q and q = r which statement must be true?
A. sp
O B. pas
O c. r>p
O d. p=r​

Answers

Answer: D

Step-by-step explanation:

Write it down. p = q = r

So therefore they are all equal to each other

Answer: p = r

Step-by-step explanation:

p = q, q = r

Therefore, p has to equal r

I like to refer to this situation as the 'triangle of equivalence'.

Don’t have a question

Answers

Answer:

Thats cool ;))

Step-by-step explanation:

Answer:

MOOD

Step-by-step explanation:

So yall, hows quarentine!?

Which of the following are congruence theorems for right triangles?
Check all that apply.
A. LL
B. LA
C. HL
D. HH
E. HA
F. AA​

Answers

Answer:

B. LA

C. HL

E. HA

A. LL

The congruence of a right triangle is given by

a) HA

b) HL

c) LL

d) LA

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the triangles be represented as A and B

Now , the triangles are right angled and their congruency is given by

The hypotenuse-angle theorem, often known as the HA theorem, says that two right triangles are congruent if their hypotenuses and acute angles are parallel to one another.

Any two right triangles that have a congruent hypotenuse and a matching, congruent leg are congruent triangles, according to the HL, or hypotenuse-leg, theorem.

According to the LA, or leg-acute, theorem, a right triangle is congruent if its leg and any acute angle are congruent with the corresponding leg and acute angle of another right triangle.

Hence , the triangles are congruent

To learn more about congruent triangles click :

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HURRY PLEASE!!!!! I’m stuck and I’m running out of time

Answers

Answer:

I hope you did well

Step-by-step explanation:

I noticed that it was uploaded an hour ago, I hope it worked out for you

Prove that the median to the hypotenuse of a right triangle is half the hypotenuse. Proof: By the Distance Formula , MN=___ Therefore OP = 1/2MN

Answers

Answer:

MN

[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]

Step-by-step explanation:

From the figure attached,

ΔMON is a right triangle and coordinates of the points M and N are M(0, 2b) and N(2a, 0).

Coordinates of midpoint P → [tex](\frac{2a+0}{2}, \frac{0+2b}{2})[/tex]

From the formula of the distance between two points,

[tex]d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

[tex]\texttt {MN} = \sqrt{(2a-0)^2+(0-2b)^2}\\\\ = \sqrt{4a^2+4b^2}\\\\ = 2\sqrt{a^2+b^2}[/tex]

Similarly, OP

[tex]= \sqrt{(0-a)^2+(0-b)^2}\\\\ = \sqrt{a^2+b^2}[/tex]

Therefore, OP

[tex]= \frac{1}{2}(MN)[/tex]

and MN

[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]

enter the mean of the data 9,5,7,7,12

Answers

i believe it is 7 or 7
sorry I just needed more words to send the message
The Mean Of The Data Is 8

In the inverse variation function, what happens to the output when the
function's input value is multiplied by 4?
O A. The output is divided by 2.
OB. The output is multiplied by 4
O C. The output is negated
O D. The output is divided by 4​

Answers

Answer:

Option D.

Step-by-step explanation:

An inverse variation function is defined as

[tex]y\propto \dfrac{1}{x}[/tex]

[tex]y=\dfrac{k}{x}[/tex]

where, k is constant of proportionality.

In the above equation x represents input and y represents output.

If the function's input value is multiplied by 4, then

[tex]y_1=\dfrac{k}{x_1}[/tex]

[tex]y_1=\dfrac{k}{4x}[/tex]

[tex]y_1=\dfrac{1}{4}\cdot \dfrac{k}{x}[/tex]

[tex]y_1=\dfrac{1}{4}y[/tex]

The output is divided by 4​.

Therefore, the correct option is D.

if angle b measures 25 degrees what is the approximate perimeter of the triangle below

Answers

Step-by-step explanation:

Is there any figure to understand the question well.

Answer:

A. 10.3 units

Step-by-step explanation:

Just took the test on Edge 2020

please help I dont get it
20 points

Answers

Answer:

10

Step-by-step explanation:

P(getting blue marbles) = 7/9

so;

x/45 = 7/9

x = 35

so the number of blue marbles is 35

45 - 35 = 10 red marbles

hope it helps .

all the best

In numb3rs, they use math to solve crimes. One of the ways they use Math is to reveal patterns. What is the pattern in this sequence? What would be the first and last numbers be? (6, 14, 30, 62, 126)

Answers

Step-by-step explanation:

I think the first number is 2

Then 2 x 2 = 4 so there is a difference of 4 number

Then in between 6 and 14 there is a difference of 8 so 4 x 2 = 8

Then 16 so 8 x 2 = 16

So after 126 the number is 254

help please on this 2 questions

Answers

Answer:

Well first, the image is probably a line, because you can't reflect a point on 2d shape horizontally or vertically across one point. That just wouldn't work. So given that the shape is just a line, reflecting horizontally and vertically would not change how the shape looks.

Answer:

1. true

2. false

Step-by-step explanation:

i think :)

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