The measure of central angle MNL is π radians, and the measure of the entire circle is 2π radians.

The ratio of the measure of the central angle to the entire circle measure is

9514 1404 393

Answer:

Step-by-step explanation:

Your system of equations will be ...

  x + y = 70 . . . . . . . there are 70 total questions

  x + 3y = 100 . . . . . there are 100 total points

__

We can use the first equation to write an expression for x that can be substituted into the second.

  x = 70 -y

  (70 -y) +3y = 100

  70 +2y = 100 . . . . . . collect terms

  2y = 30 . . . . . . . . . . subtract 70

  y = 15 . . . . . . . . . . . divide by 2

  x = 70 -15 = 55

The test has 15 short answer questions and 55 multiple-choice.

Answer:

[tex]\displaystyle w=\frac{9}{2}=4.5[/tex]

Step-by-step explanation:

We can use slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So:

[tex]\displaystyle m=\frac{4-w}{-10-(-6)}=\frac{4-w}{-10+6}=\frac{4-w}{-4}[/tex]

We are given that this equals 1/8. Therefore:

[tex]\displaystyle \frac{4-w}{-4}=\frac{1}{8}[/tex]

Solve for w. Cross-multiply:

[tex]-4(1)=8(4-w)[/tex]

Distribute:

[tex]-4=32-8w[/tex]

Isolate:

[tex]-8w=-36[/tex]

So:

[tex]\displaystyle w=\frac{-36}{-8}=\frac{9}{2}=4.5[/tex]

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Explanation:

Point H is at (-2,2) and J is at (4,-2)

Focusing on the x coordinates, the midpoint is (x1+x2)/2 = (-2+4)/2 = 1.

The y coordinates have a midpoint of (y1+y2)/2 = (2+(-2))/2 = 0.

The midpoint is at (1,0). That's why the answer is choice C.

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This next section is optional.

Points I and K are located at (4,3) and (-2,-3) respectively

Averaging the x coordinates gets us (x1+x2)/2 = (4+(-2))/2 = 1

Doing the same for the y coordinates gets us (y1+y2)/2 = (3+(-3))/2 = 0

We end up with the same midpoint (1,0)

The midpoint being the same for both diagonals proves that each diagonal is bisected, ie cut in half.

Answer:

C is the correct answer

Step-by-step explanation:

Answer: justice

Step-by-step explanation:

The ethical principle of justice is the principle which implies that everyone should be treated equally and given fair and same treatment.

In this case, the principle of justice is violated because out of the sixty people who volunteered to test the software, only twenty randomly chosen students used the software while the improvement in the ability of all the sixty students were then compared.

Answer:

Step-by-step explanation:

The Letter B

Answer:

66 degree

Step-by-step explanation:

given:

angle FAB = 48 degree

angle ECB = 18 degree

in triangle HBC , angle H is also 48 degree degree since the line is parallel the connection between angle H and angle A is alternate interior angle and alternate interior angle are always equal.

so angle H = 48 degree

in triangle HBC

angle H + angle C = angle ABC (sum of two interior opposite angles are equal to the exterior angle formed)

48 + 18 = angle ABC

66 = angle ABC

Answer:

2 gallons of paint

Step-by-step explanation:

If 3/4 of a gallon covers 2/5 of a wall, this means that a half of 3/4 gallons can cover 1/5 of a wall.

By knowing this, you can just make up your own expression

(the trick is to find a way to break it down to one, so you can multiply and manipulate it to save yourself some brain cells)

Hoped this helped you :3

Answer:

30,400 sq ft

Step-by-step explanation:

1 gallon = 400 sq ft

2×38=76 gallons

76×400=

30,400sq ft

Answer:

148 Degrees

Step-by-step explanation:

32-180=148

148+32=180

Answer:

27583.78 s

Step-by-step explanation:

Use the orbit equation to get v, then v=distance/time to get time.

Correct on Acellus

Answer:

second one

Step-by-step explanation:

4[tex]\pi[/tex] = 12.56

that's greater than 12

Answer:

Read explanation

Step-by-step explanation:

Use elimination

Add them all up

y = 1 ( everything else cancels )

-2x + 2(1) + z = 14

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

-x +(1) - 2z = -8

simplify

-2x + z = 12

3x + z = -3

-x -2z = -9

U can't use elimation because it would turn into 0 = 0

change last equation

x + 2z = 9

x = -2z + 9

plug that in

-2(-2z+9) + z = 12

3(-2z+9) + z = -3

-(-2z+9) - 2z = -9

4z - 18 = 12

-6z + 27 + z =-3

2z - 9 - 2z = -9

simplify

4z = 30

-5z = -30

0 = 0

z = 6

y = 1

x = -3

Answer:

a) 11,129

b) 2,625,966

I think that the answer

Step-by-step explanation:

my answer is in the image above

Answer:

y=5x+3

Step-by-step explanation:

Hi there!

We're given the point (-1, -2) and a slope of 5. We need to find the equation of the line in slope intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

Since we're already given the slope, we can substitute that immediately into the equation

here it is so far:

y=5x+b

now we need to solve for b

Since the line will pass through the point (-1,-2), we can use it to solve for b

substitute -1 as x and -2 as y into the equation

-2=5(-1)+b

multiply

-2=-5+b

add 5 to both sides

3=b

substitute that into the equation

therefore, the equation of the line is y=5x+3

Hope this helps! :)

Answer:

x ≈ 11.23

Step-by-step explanation:

Given

tan24° = [tex]\frac{5}{x}[/tex] ( multiply both sides by x )

x × tan24° = 5 ( divide both sides by tan24° )

x = [tex]\frac{5}{tan24}[/tex] ≈ 11.23 ( to 2 dec. places )

Answer:

no solution

Step-by-step explanation:

y = x+1 and y = x + 2 don't touch because they are parallel

if you don't know what parallel means, just search it up, but i can explain it to you:

parallel means same slope or same steepness of line

Answer: The figures appear to be similar

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Explanation:

You'd need to use a protractor, or perhaps some trig tricks that I can't think of right now, to determine that the angles are the same. They appear to be the same so, let's assume that the angles are the same.

That means we just need to focus on the sides being proportional or not. We simply divide the corresponding sides in the correct order. If we get the same result each time, then we have similar figures.

I've marked your drawing adding color coded circles to show which sides are corresponding. We'll divide the red values together, the green values together, etc like so

I started with the stuff in red, moved to stuff in green, working clockwise around each figure. We get the same result each time, so it seems to suggest we have similar figures. Again, we have to assume the angle measures are the same for the two figures to officially be considered similar.

Answer:

a = 3

Step-by-step explanation:

If (x+3) is a factor of f(x) = x³+ax²+x+3,

From remainder theorem,

When we substitute -3 into the expression, we equate to zero

That is,

F(-3) = 0

(-3)³+a(-3)²+(-3)+3 = 0

-27+9a-3+3 = 0

9a = 27

divide both sides by the coefficient of a

a = 27/9

a = 3

Hence the value of a = 3

Answer:

B

Step-by-step explanation  

: )

Answer:

I have no clue to be honest

Answer:

1) The end behavior of function [tex]h[/tex] is described by an absolute (horizontal) asymptote.

2) The range of function [tex]h[/tex] is all y-values less than or equal to 0 and greater than 1.

Step-by-step explanation:

1) The end behavior of the function is defined by a horizontal asymptote, that is the values of [tex]y[/tex] when [tex]x[/tex] tends to [tex]\pm \infty[/tex]. Answer: The end behavior of function [tex]h[/tex] is described by an absolute (horizontal) asymptote.

2) The range of the function is the set of values of [tex]y[/tex] associated with the function. The existence of two vertical asymptotes give the following solution for the range: [tex]Ran \{h\} = (-\infty, 0] \,\cup\,(1, +\infty)[/tex] Answer: The range of function [tex]h[/tex] is all y-values less than or equal to 0 and greater than 1.

Answer:

Step-by-step explanation:

1) ∠WVZ and ∠VWX are right angles & VX = = WZ      Given

2) WV = VW                                                                      Reflexive property

3) ΔWVZ ≅ ΔVWX                                                           HL

4) ∠Z = ∠X                                                                       CPCT

CPCT --> Corresponding parts of congruent triangle.

Answer: 36 inches

Step-by-step explanation:

From the information given in the question, we are informed that Yuron is sketching a scale drawing of a famous painting and that the painting is 54 inches wide and 72 inches long.

We are further informed that he used a scale factor of ⅔ to make his sketch, then the measure of the width of the sketch will be ⅔ of the original width and this will be:

= ⅔ × 54 inches

= 36 inches

The width of Yuron's sketch is 36 inches.

We know that the original painting is 54 inches wide and 72 inches long, and Yuron makes a sketch that uses a scale of 2/3 of the original dimensions.

Then the width of Yuron's sketch will be 2/3 times the original width:

W = (2/3)*54 inches = 36 inches.

The width of Yuron's sketch is 36 inches.

If you want to learn more about scales, you can read:

https://brainly.com/question/15891755

Using the formula shown replace r with 11 and pi with 3:

Volume = 4/3 x 3 x 11^3

Volume = 5,324 in^3

Answer:

11

Step-by-step explanation:

mode is the number that is most frequent

11

Answer:

11

Step-by-step explanation:

Mode means the highest repeated observation in the data set,

Therefore Mode = 11, as 11 has repeated 3 times, the most in the data set