The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle. The face of a clock is divided into 12 equal parts. Which statements about the clock are accurate? Select three options. The central angle formed when one hand points at 1 and the other hand points at 3 is 30°. The circumference of the clock is approximately 62. 8 inches. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°. The length of the major arc between 3 and 10 is approximately 31. 4 inches. The length of the minor arc between 6 and 7 is approximately 5. 2 inches.

Answers

Answer 1

The accurate statements are:

b. The circumference of the clock is approximately 62.8 inches. c. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.  e. The length of the minor arc between 6 and 7 is approximately 5.2 inches.

The given parameters are:

[tex]n = 12[/tex] --- number of parts

[tex]r = 10[/tex] --- the radius

(a) The central angle

Between points 1 and 3, there are 2 sections, each of which has a measure of 30 degrees.

So, the measure of the two sections is:

[tex]\theta = 30^o \times 2[/tex]

[tex]\theta = 60^o[/tex]

Hence, (a) is false

(b) The circumference

This is calculated using:

[tex]C = 2\pi r[/tex]

So, we have:

[tex]C = 2 \times 3.14\times 10[/tex]

[tex]C = 62.8[/tex]

Hence, (b) is true

(c) The measure of the minor arc

Between points 12 and 4, there are 4 sections, each of which has a measure of 30 degrees.

So, the measure of the four sections is:

[tex]\theta = 30^o \times 4[/tex]

[tex]\theta = 120^o[/tex]

Hence, (c) is true

(d) The length of the major arc

Between points 3 and 10, there are 7 sections, each of which has a measure of 30 degrees.

So, the measure of the seven sections is:

[tex]\theta = 30^o \times 7[/tex]

[tex]\theta = 210^o[/tex]

The length of the arc is:

[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]

So, we have:

[tex]L = \frac{210}{360} \times 2 \times 3.14 \times 10[/tex]

[tex]L = \frac{13188}{360}[/tex]

[tex]L = 36.3[/tex]

Hence, (d) is false

(e) The length of the minor arc

There is only one section between points 6 and 7

So, the measure of the section is:

[tex]\theta = 30^o[/tex]

The length of the arc is:

[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]

So, we have:

[tex]L = \frac{30}{360} \times 2 \times 3.14 \times 10[/tex]

[tex]L = \frac{1884}{360}[/tex]

[tex]L = 5.2[/tex]

Hence, (e) is true

Read more about segments and arcs at:

https://brainly.com/question/14965059

Answer 2

Answer:

-B

-C

-E

Step-by-step explanation:

just took the test...

I got them right


Related Questions

Which values for A and B will create infiniely many solutions for this system of equations

Answers

Answer :

4x-ay=15

Step-by-step explanation:

If it is sunny, then we will go fishing.
Choose the equivalent statement.
A. If we go fishing, then it is not sunny.
B. If we do not go fishing, then it is not sunny.
C. If we do not go fishing, then it is sunny.

Answers

B. If we do not go fishing, then it is not sunny

Please help me with thiss

Answers

Answer:

gradient = 2

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-0}{6-1}[/tex] = [tex]\frac{10}{5}[/tex] = 2

This is a true or false question. (Question in the photo)

Answers

Answer:

Step-by-step explanation: The answer is False.

Answer:

True my mom helped

Step-by-step explanation:

that's all I know

40 kg of tomatoes cost $200 how many kilograms of tomato’s can you get with $45

Answers

Answer:

9 kg of tomatoes

Step-by-step explanation:

Cost of 40 kg of tomatoes = $200

Cost of 1 kg of tomatoes = 200/40 = $5

For $45, we get x kg of tomatoes,

kg       $

1          5

x         45

=> 45*1/5 = x kg (by cross multiplication)

=> 45/5 = x kg

We get 9 kg of tomatoes for $45.

Hope you understood!

Answer:

(9 Kg) You can get 9 kilograms of tomato's with 45$

Step-by-step explanation:

help this is due today?​

Answers

Answer:

2s for the first box

6u for the second box

Step-by-step explanation:

when they say like terms, just think about how the letter parts of the expression are the same

like 1/2s and 2s both have the singular variable s

and how 6u and 9u both have the singular variable u

To solve this one you have to find the ones that are connected by variables or look the same

For example.

1x and 2x are like terms because they have the same variable X

4d and 6/2d are like terms because they have the same variable D

4 and 3 are like terms because they have no variables, and they are the same

So now that you understand what like terms are you may so it

1/2 and 2s are like terms because they share the same variable S

6u and 9u are like terms because they share the same variable U

I hope this helped and if it's wrong blame me

Ps. Brainlist would really help

5/7(x-9)=25
what does x equal?

Answers

Answer:

[tex]x=44[/tex]

Step-by-step explanation:

[tex]\frac{5}{7}(x-9)=25[/tex]

[tex]5(x-9)=175[/tex]

[tex]x-9=35[/tex]

[tex]x=44[/tex]

.pleeassssseeeeee guuyyss​

Answers

Answer:

Answer: 4

Step-by-step explanation:

There are 5 roses in a vase of 13 flowers. The rest are daisies.
a) What is the ratio of daisies to roses?
(b) What is the ratio of all flowers in the vase to daisies?
pls answer these

Answers

A)5:8
B)8:13
I’m not sure if this is right tho

On the highway, a car can travel 21 miles per gallon of gas. If the car travels for 4 hours on the highway at a rate of 65 miles per hour, how many gallons of gas should the car use, to the nearest tenth of a gallon?​

Answers

Answer:

5.36

Step-by-step explanation:

If the car travels for 4 hours on the highway at a rate of 65 miles per hour,12.4 gallons of gas should the car used, to the nearest tenth of a gallon.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that a car can go 21 miles per gallon of gas on a highway and that the car can travel for 4 hours at a speed of 65 miles per hour.

As a result, the distance traveled by car,

Distance = speed × time

Distance = 65 miles / hr × 4 hr

Distance = 260 miles

The number of gallons of gas the car should consume is determined by dividing the entire distance driven by the per gallon of gas as follows:

= 260 miles / 21 miles per gallon

= 12.38 gallon

The value nearest tenth of a gallon is,

=12.4 gallons

Thus, if the car travels for 4 hours on the highway at a rate of 65 miles per hour,12.4 gallons of gas should the car used, to the nearest tenth of a gallon.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Help me, I'm really tired atm

Answers

Step-by-step explanation:

6/15 = 12/30 = 24/60 = 48/75

Answer:

Step-by-step explanation:

PLS ANSWER AS SOON AS POSSIBLE AND I WILL MARK U AS BRAINLIST

Answers

Answer:

3

Step-by-step explanation:

Substitute the possible answers.

y^2 - 19 = 0 find the sum and product

Answers

Answer: Sum of the roots:  √19 - √19 = 0

Product of roots:  (√19)(-√19) = -19

Step-by-step explanation:

y2 - 19 = 0

add 19 to both sides

y2 = 19

take square root of both sides

y = ±√19

So y = √19 or y = -√19

Which substances will make a salt when combined?
Question 6 options:

Vinegar and soda

Soda and wine

Detergent and ammonia

Fertilizer and vinegar

Answers

A.Vinegar and soda

-A salt is a substance that contains a cation which is a metal ion or an ammonium ion and an anion derived from an acid. It is an ionic compound that can be formed by the neutralization reaction of an acid and a base.

-For example; a reaction between a soluble base sodium hydroxide and an acid dilute sulfuric acid results to the formation of salt sodium salt. There are also other methods of generating a cell apart from neutralization, such as precipitation reactions and direct synthesis among others,

Answer this QUICK!!! 60 POINTS!!!!

Answers

Answer:

Step-by-step explanation:

top right

Answer:

Its C (upper right)

Step-by-step explanation:

Which system of equations is equivalent to the following system? (5 points) 2x + 4y = 14 4x + y = 20

a.2x + 4y = 14
−16x − 4y = −80

b.2x + 4y = 14
−4x + y = −20

c.4x + 8y = −28
4x + y = 20

d.−2x − 4y = 14
4x + y = 20

Answers

Answer:

a.

Step-by-step explanation:

4x+y=20 multiplied by (-4) gives you -16x-4y=-80

how to dilate with a scale factor of 1/3 with orgin point on graph

Answers

Answer:

  each coordinate is multiplied by 1/3

Step-by-step explanation:

Each point on the graph is moved to a distance from the origin that is its previous distance multiplied by the scale factor. This means every coordinate value is multiplied by the scale factor.

For example, a coordinate of (3, -9) scaled by 1/3 will become ...

  (1/3)(3, -9) = (1, -3)

__

Additional comment

If your scale factor is 1/3, often you will find that coordinates of the larger image are all multiples of 3. This makes relocating them to 1/3 their original distance fairly easy. Even if they're not, you still move each point to 1/3 its original distance. The new point will be on the line segment joining the center of dilation (the origin) with the original point.

The attached graph is an illustration of dilation by a factor of 1/3.

Which ordered pair is a solution of the equation?
y + x = 3(x – 4)

Answers

x=1/2 y+6 . Hope it helps.

A,D And E Thats The Answers

Answers

Answer:

wait what? hmmm hmmmmmm

Do you mean to ask a question?

Does anyone know this?
Blank #1____

Blank #2____

Blank #3____

Blank #4____

Answers

Answer:

12x2x8x

Step-by-step explanation:

Apparently, the values in the table are the products of the terms on the left and the terms on the bottom.

  (Blank 1) × 1 = 1   ⇒   (Blank 1) = 1

  (Blank 2) × 8x = 16x²   ⇒   (Blank 2) = 16x²/(8x) = 2x

  (Blank 3) = (Blank 1) × (Blank 2)   ⇒   (Blank 3) = 1 × 2x = 2x

  (Blank 4) = 8x × 1 = 8x

Answer:

1. 1

2. 2x

3. 2x

4. 8x

Step-by-step explanation:

name the relationship of these angles

Answers

1) linear pair
2) adjacent
3) adjacent
4) complementary
5) vertical
6) adjacent
7) linear pair
8) vertical

Which value of x makes the equation true 3x-6/3 7x-3/6 ?A. -11 B. -9 C. -3 D. 3

Answers

Answer:im pretty sure its d

Step-by-step explanation:


The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the
equation. Include the phrases, "Isolate the variable by -" "Simplify," and "Isolate
the variable term by -" in your answers.
Original equation
7x +3 - 52
7x +3-3-52-3
7x = 49
7x49
TT
x = 7

Answers

Answer:

The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the

Step-by-step explanation:

Simplifying

7x + 3 = 52

Reorder the terms:

3 + 7x = 52

Solving

3 + 7x = 52

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 7x = 52 + -3

Combine like terms: 3 + -3 = 0

0 + 7x = 52 + -3

7x = 52 + -3

Combine like terms: 52 + -3 = 49

7x = 49

Divide each side by '7'.

x = 7

Simplifying

x = 7

I need help on question 5 - 6 - 7 - 8 - 9 - 10 - 11 - 12 please

Answers

Answer:

The solution is given in the photo

Kiara bought fabric to make a dress and a sewing machine. The total cost of her purchase, $80.50, included both the cost of her sewing machine

Write an equation to determine the cost of fabric per foot

find the cost of fabric per foot

Answers

The cost is of fabric per foot 40.25$

Solve the system of linear equations by substitution
6x-9=y
y=-3x

Answers

Answer:

x=1, y=-3. (1, -3).

Step-by-step explanation:

6x-9=y

y=-3x

-----------

6x-9=-3x

6x-(-3x)=9

6x+3x=9

9x=9

x=9/9

x=1

y=-3(1)

y=-3

I have a system of equations I don’t remember how to do :|

I forgot how to solve this, and I forgot how to find the slope…

Answers

Answer:

  x + y = 3 (infinite solutions)

Step-by-step explanation:

You observe that all of the numbers in the second equation are multiples of 3. When you divide the second equation by 3, it becomes identical to the first equation. The equations are said to be "dependent."

That means both equations graph as the same line, so will intersect at every point on the line. The system of equations has an infinite number of solutions.

_____

Additional comments

There are a number of ways to solve a system of equations. Two methods commonly taught are "substitution" and "elimination". Either one works here.

We can solve the first equation for y by subtracting x from both sides:

  x +y -x = 3 -x

  y = -x +3 . . . . . . simplify

In this form, the slope is the coefficient of x. Here, it is -1.

This expression for y can be substituted into the other equation:

  3x +3(-x +3) = 9

  3x -3x +9 = 9 . . . . . eliminate parentheses

  9 = 9 . . . . . . . . . . . simplify

This is true for all values of x or y. There are an infinite number of solutions.

Answer:

There are infinite numbers of solution.

Step-by-step explanation:

Question :

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\small\begin{cases}\sf{x + y= \bf{3}} \\ \\ \sf{3x + 3y= \bf{9}}\end{cases} \end{gathered}\end{gathered}\end{gathered}[/tex]

Solution :

Solving the question and finding the final answer.

Here,

x + y = 3 . . . (i)3x + 3y = 9 . . . (ii)━━━━━━━━━

Now, from equation (i),

[tex]\twoheadrightarrow{\sf{x + y = 3}} [/tex]

[tex]\twoheadrightarrow{\sf{x = 3 - y}} [/tex]

━━━━━━━━━

Now, putting the value of x in equation (ii)

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{3x + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{3(3 - y) + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 3y + 3y = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{9 - 0 = 9}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{9 = 9}}}}}}\end{gathered}[/tex]

This statement is true for all values of x and y.

So, there are infinite numbers of solution.

[tex]\underline{\rule{220pt}{3pt}}[/tex]


A dessert has both fruit and yoghurt inside.
Yogo-pot
Altogether, the mass of the fruit and yoghurt is 175g.
The ratio of the mass of fruit to the mass of yoghurt is 2:5
What is the mass of the yoghurt?

Answers

2:5 = 2+5=7
175 divided by 7 = 25
5 x 25 =125
2 x 25 = 50
mass of yogurt is 125

the least number by which 7203 must be divided to make the result a perfect square is____​

Answers

Answer:

Step-by-step explanation:

we should divide it by 3 to get a perfect square .and the square root of the perfect square is 49

Given number is 7203. First we write it as the product of prime factors.

[tex]\begin{gathered}\:\:\:\:\:\:\:\:\:\:\:\begin{gathered} \begin{array}{c|c} \underline{\sf{3}}& {\sf{ \underline{ \pink{7203} \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \underline{\sf{7}}&{\sf{ \underline{2401 \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{343 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{49\: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{7 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{}}&{\sf{ 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \end{array}\end{gathered}\end{gathered}[/tex]

[tex]\qquad[/tex][tex]\purple{ \bf\longrightarrow 7203 = 3 \times 7 \times 7 \times 7 \times 7} [/tex]

Clearly 3 has no pair! That means if we divide 7203 by 3, we get 2401 which is the square of 49. Hence, the smallest number by which 7203 must be divided to make the result a perfect square is 3.

____________________________________________

Please someone help solve:
2/2t√3≡4-2√3

Answers

Answer:

i'm assuming you want to solve for t?

t=(2√3+3)/6

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