-3(12 - m) = -1(m - 8)

Answer:

Step-by-step explanation:

The approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.

The arc length of a circle can be calculated with the radius and central angle using the arc length formula.

Arc length = ∅/360 × 2πr

Given that pizza is 15 inches the slice has an arc length of 21.5 inches along the crust.

Use the formula above to calculate the value:-

Arc length = ∅/360 × 2πr

21.5  = ∅/360 × 2π ( 7.5 )

∅ = ( 21.5 x 360 ) / 2π ( 7.5 )

∅ = 164 degrees

Therefore, the approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.

Learn more about the arc length on:

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Answer:

Yes.

Step-by-step explanation:

A triangle is a right triangle if the sides satisfy the Pythagorean Theorem, or:

a² + b² = c².

So input the values.

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

The triangle with sides 3 m, 4 m, and 5 m is a right triangle.

Answer:

Yes, it's a right triangle.

Step-by-step explanation:

We can use the Pythagorean theorem to help.

The theorem states that if a triangle is right, [tex]a^{2} + b^{2} = c^{2}[/tex].

C is the longest side of the right triangle or the hypotenuse.

A and b are the other 2 sides

5 is the greatest so that must be [tex]c[/tex].

4 and 3 are [tex]a[/tex] and [tex]b[/tex]. (It doesn't matter which is a and which is b)

Plug in the numbers:

[tex]4^2 + 3^2 = 5^2[/tex]

Solve:

16 + 9 = 25

25 = 25

This triangle is a right triangle!

Answer:

False, A polygon must have at least 3 sides.

Step-by-step explanation:

A polygon must have at least 3 sides. Not at least 2 sides.

A polygon must have at least three sides so the statement that a polygon must have at least two sides is false.

We have,

A polygon is a closed figure formed by straight lines called sides.

By definition,

A polygon must have at least three sides.

A polygon with only two sides would be classified as a line segment, not a polygon.

Thus,

A polygon must have at least two sides is false.

Learn more about polygons here:

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Answer:

-5,4

Step-by-step explanation:

First the top right quart

area = 16, 4 * 4

Then the top left quart

making a 2 by 4 triangle followed with 4 additional square

making 2 * 4 * 1/2 = 4 + 4 meaning area = 8

then the bottom quart

Making a large triangle of 7 by 3

meaning 7 * 3 * 1/2 = 10.5

total area = 16 + 8 + 10.5 = 34.5

Answer:

c. 39

Step-by-step explanation:

you have to find the middle of this. 39 is the middle.

Answer:

3x-5+6x+14=180

9x+9. =180

9(X+1).= 180

X+1. =20

X= 19

Answer:

Larger groups tends to take less time to solve the puzzle.

Step-by-step explanation:

It is given that Vincent gathered few groups from 1 to 8 people and he gave them the same puzzle to solve for each group. The graph is provided which show the relationship between the number of groups and the time taken by each group to solve the puzzle.

From the graph, it cam be seen that, the larger groups is more likely to take less amount of time to solve the puzzle as compared to the smaller groups.

Answer:

B

Step-by-step explanation:

Khan Academy says so

Answer:

acute triangle

Step-by-step explanation:

all angles are less than 90 degrees

hope this helps!! :D

Answer:

acute triangle

Step-by-step explanation:

in figure measures are less than 90° so acute triangle

Answer:

Quadrant III

Step-by-step explanation:

Quadrant I = 1 - 90°

Quadrant II = 91 - 180°

Quadrant III = 181 - 270°

Quadrant IIII = 271 - 360°

Answer:

3/1

Step-by-step explanation:

rise/run,  from P, Q, and R the slope goes to the left once and up 3 so the slope or rate of change is 3/1

Answer:

the sequence is adding 5 the next number would be 22

hope this helps

have a good day :)

Step-by-step explanation:

7, 12, 17, 22, 27 . . .  (5n + 2)

n = 1, => 7

n = 2, => 12

n = 3, => 17

n = 4, => 22

Answer:

the new area is 1% smaller.

Step-by-step explanation:

the area of a rectangle is length times breadth.

let's call them a and b

Area = a × b

now, a is increased by 10%. that means it is multiplied by 11/10.

because 100% means the whole thing, 1% means a 1/100th part of the whole. and 10% then means 10 times the 1/100th part of 10 × 1/100 = 10/100 = 1/10

if then simmering increases by 10% it means that it is the original 100% plus 10%.

so, it is 100/100 + 10/100 = 10/10 + 1/10 = 11/10

therefore the new length is

a(new) = a(old)×11/10

in exactly the same way, when the breadth is reduced by 10% we get then

breadth(new) = breadth(old)×9/10

so, Area(new) = a(new)×b(new) = a(old)×11/10 × b(old)×9/10

remember, Area(old) = a(old)×b(old)

so, Area(new) = a(old)×b(old) × 11/10 × 9/10 =

= Area(old) × 11/10 × 9/10 =

= Area(old) × 99/100

that means the new area has lost compared to the old area 1/100th of its size. 1/100th = 1%

Answer:

2x + 3/4 - 3x - 2/5 - 6 x - 5/20 is less than 13/4

Step-by-step explanation:

Do you want to know how I know it's because it equals   −8

Answer:

36

Step-by-step explanation:

Answer:

B (-4,-4)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since it is currently at (4,2), reflecting it across y=-1 will bring the y-coordinate down to -4. After that, reflecting it across the y-axis will flip the sign in front of the x-coordinate, so 4 to -4. Therefore, your answer is (-4,-4).

Answer:

51.

Step-by-step explanation:

Step 1: Define/explain.

To find the range of a data set, subtract the smallest number from the largest number.

Step 2: Solve.

[tex]14, 23, 6, 54, 30, 26, 17, 3, 26[/tex]

[tex]54-3=51[/tex]

Step 3: Conclude.

I, therefore, believe the range of this data set is 51.

Answer:

5(x+8)

5x+8x

5x+40

6q+2+3q+5

9q+7

Answer:

1. 5x + 40

to get this answer i multiplied the 5 to the variables in the parenthesis

2. 9q +7

to get this answer i added the variables that were similar., one pair has q at the end and the other does not.

Answer:

Step-by-step explanation:

Step 1: Convert the discounted percent to decimal

20% = 0.2

Step 2: Multiply the discount to the item regularly priced

0.2(65.00) = 13

So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:

Step 3: Subtract the result (the discount Bill received) from the regular price

$65.00 - $13.00= $52.00

Therefore, Bill paid $52.00

Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price

$4.50 × 40% = 1.8

[tex]\frac{4.50}{x}=\frac{100\%}{40\%}[/tex]

[tex]\frac{x}{4.50}=\frac{40}{100}[/tex]

x = 1.8

Step 2: Add the result to the wholesale price for the pillow

4.50 + 1.8 = $6.3

Step 3: Round to the nearest cent

Add a zero behind the result = 6.30

Therefore, the price of the pillow in the department store is $6.30

Answer:

TC (A) = 40x , TC (B) = 500 + 20x

Step-by-step explanation:

Let the number of students be = x

Hall A Total Cost

Relationship Equation, where TC (A) = f (students) = f (x)                                40 per person (student) = 40x

Hall B Total Cost

Relationship Equation, where TC (B) = f (students) = f (x)                          500 fix fee & 20 per person (student) = 500 + 20x

Answer:

B. (2, 1/64)

Hope this helps!

Answer:

Answer: mutually exclusive are:

ii. Sit down and stand up

ii. Sit down and stand upiii. Two dice: Odd and Even

because they can not occur same time

Mutually exclusive events don't occur at same ineterval and are not dependent upon each other

Here

They are

Answer:

Solution given;

for sphere

radius [r]:12inches

another

radius [R]:9inches

Now

difference in volume of sphere:

volume of sphere of having radius [r-R]

=[tex] \frac{4}{3} πr³[/tex]-[tex] \frac{4}{3} πR³[/tex]

=[tex] \frac{4}{3} π[/tex](12³-9³)

= 1332π cubic inches

The volume of the larger sphere is ___1332__π cubic inches greater than the volume of the smaller sphere.

Answer:

x = 20 degrees

y = 128 degrees

Step-by-step explanation:

First, lets solve for x:

3x-8 = 2x + 12

x = 20 degrees

Let's check our work:

60 - 8 = 40 + 12

52 = 52

Now, lets solve for y:

360 - 104 = 256

Why 360? Because 360 degrees = full circle

256/2 = 128 degrees

y = 128 degrees

Why divided by 2? Because there are 2 parts that are equal (y)

Hope this helps! Sorry for the late answer!

--Applepi101

Answer: 536.142 in^2

Step-by-step explanation:

trust the loli dragon jesus