Noelle is making a rectangular place mat that is 15 inches wide and 18 inches long. What is the least amount of fabric that she will need to make the place mat?

Given:

In circle D, the measure of angle ADC is 108 degrees.

To find:

The measure of angle ABC.

Solution:

Central angle theorem: According to this theorem, the measure of central angle of an arc is twice of the measure of inscribed angle on that arc.

Using the Central angle theorem, we get

[tex]m\angle ADC=2\times m\angle ABC[/tex]

[tex]108^\circ=2\times m\angle ABC[/tex]

[tex]\dfrac{108^\circ}{2}= m\angle ABC[/tex]

[tex]54^\circ= m\angle ABC[/tex]

Therefore, the measure of angle ABC is 54 degrees.

Answer:

11

Step-by-step explanation:

proportions

Answer:

hope it helps your friend I think that is equivalent to the question you just asked

Answer:

84

Step-by-step explanation:

The different collections of fruit can he chooses are 210. Hence option C is correct.

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that he has to buy three fruits and the total available fruits is 7 in number.

The different collections are:-

[tex]^7C_3=[/tex]7 x 6 x 5= 210

We can make 210 different collections to purchase 3 types of fruits out of 7 fruits.

Hence option C is correct.

To know more about combinations follow

https://brainly.com/question/11732255

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Answer:

30 students are 6th graders

Step-by-step explanation:

3/7×70= 30

Answer:

16560

I hope this helped :)

Answer:

16560

Step-by-step explanation:

I really hope this answer helps you

Answer:

y = 2x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, so

y = 2x + c ← is the partial equation of the line

To find c substitute (3, 1) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of parallel line

Answer:

P = 5/12 = 0.42

Step-by-step explanation:

In the bucket we have:

3 small red blocks

5 small yellow blocks

5 large yellow blocks

7 large red blocks

Ok, now we know that we draw one of the large blocks, and we want to find the probability that the block is yellow.

The probability will be equal to the quotient between the number of larger yellow blocks (5) and the total number of large blocks (5 + 7 = 12) (we only care for the large blocks because we start by assuming that we draw one of these)

Then the probability is:

P = 5/12 = 0.42

Answer:

Rectangle and Quadrilateral

Step-by-step explanation:

Hi,

It can't be a rhombus because, in a rhombus, all the sides are equal. The same goes for a square so those two aren't correct. It is a rectangle and in a Quadrilateral, the sides are straight. So your two answers are a rectangle and a Quadrilateral.

I hope this helps :D

Answer:

13.0 inches

Step-by-step explanation:

Answer:

Total cost= 369 + 4.5x

x= number of minutes

Step-by-step explanation:

Giving the following information:

Fixed cost= $369

Unitary variable cost per minute= $4.5

To calculate the total cost after x minutes, we need to use the following formula:

Total cost= 369 + 4.5x

x= number of minutes

For example, for 45 minutes:

Total cost= 369 + 4.5*45

Total cost= $571.5

Answer:

240 people

Step-by-step explanation:

[tex]\frac{60}{25} =\frac{x}{100}[/tex] (x represents people)

60×100= 6000 , 25 × [tex]x[/tex] = 25[tex]x[/tex]

[tex]\frac{25x}{25x}=x[/tex]        [tex]\frac{6000}{25x} = 240[/tex]

x=240

Answer:

n = 12

Step-by-step explanation:

5 (2n - 3) = 105

2n-3 = 105/5

2n = 21+3

n = 24/2

n = 12

Answer:

is the answer to your thing

n=12

Answer:

30

Step-by-step explanation:

I counted all the squares

Answer:

75.4 ft³

Step-by-step explanation:

Volume of a cone = πr²h/3

π = 3.14

radius, r = diameter / 2

= 6ft/2

= 3 ft

Height, h = 8 ft

Volume of a cone = πr²h/3

= (3.14 * (3)² * 8) / 3

= (3.14 * 9 * 8) / 3

= 226.08 / 3

= 75.36

Volume of a cone = 75.36 ft³

Approximately to the nearest tenth = 75.4 ft³

Answer:

b

Step-by-step explanation:

b

Answer:

Answers: 12 cm.

Step-by-step explanation:

Diameter is equal to twice the radius.

Answer:

60

Step-by-step explanation:

10×2=20÷2=10×2=20 goes for the two top ones

20×2=40÷2=20×2=40 goes for the two bottom ones

40+20=60 is the answer

Answer:

60ft^2

Step-by-step explanation:

Split the area into two large triangles, the right and the left.

The base for the triangle is 10ft+20ft =30ft and we know the height is 2.

Since A=bh*1/2, A = 30*2*1/2. This equals 30. since there are two of these large triangles and they are equal, just multiply the area by 30.

Answer: Choice B

[tex]\overset\frown{AB} ; \ 115[/tex]

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

Explanation:

The measure of any minor arc is always less than 180 degrees. So it will have a smaller measure than a semicircle. Arc ADB is over 180 degrees, so we can rule that out. Minor arc AB is the measure from A to B following the shorter path along the circle, which would be 115 degrees (the longer path would be 360-115 = 245 degrees)

In other words, the central angle ACB is equal in measure to minor arc AB. Both describe the same basic idea when it comes to circles and their angle measures.

Answer:

unit 5 lesson 10 area unit test

Step-by-step explanation:

1. a 60 cm

2. b m<1 = 45 m<2 67.5

3. b 7/2 49/4

4. c 247.7 in

5. b ab 115

6. a 30 pi in

7. b 10.89 pi m2

8. c 16.5 m2

9. d 270 pi + 81 sq 3 m2

Answer:

Bill: $45.00

Tip: $9.00

Total: $54.00

Step-by-step explanation: Hope this helped!!!!!!!!!!!!!

Answer:

I can't read this

Step-by-step explanation:

Answer:

Down below.

Step-by-step explanation:

A=2(wl+hl+hw)

A=2(4*5+5*7+7*4)

A=2(20+35+28)

A=2(83)

A=166mm^2

Answer:

103 & 77 degrees

Step-by-step explanation:

Supplements add up to 180 degrees.

I started at 90 & did:

90 + 13 = 103

(Because 13 * 2 is 26, but if you subtract 26 then the supplement will be 52 away & not 26)

180 - 103 = 77

103 - 77 = 26

Hope this helped. :)

it is true

Y=1/2 c + 1=81 so the answer is a-True

Answer:

True

Step-by-step explanation:

I graphed it

Answer: 24 students

Step-by-step explanation:

We know that there were 129 students total. However, of those 129 students, 9 traveled in cars, which means that only 120 students took the bus. We know there were five buses, so if the students filled the buses up equally, we can divide the number of bus riders by the number of buses to find the number of students per bus.

With 120 students and 5 buses, we get 120 ÷ 5 = 24.

Answer:

(using substitution to solve the problem)

x=y-3

2x+y=12

2(y-3)+y=12

2y-6+y=12

3y=18

y=6

y=6

x=6-3

= (3, 6)

Step-by-step explanation:

using substitution, substitute the x in the second equation to y-3, to find the value of y. after that distribute the 2 into the parenthesis and collect like terms. once you simplify, you have the value of y, so substitute the value of y into the first equation to find x. once you have both values put them in the ordered pair form and you're done.

i hope this helps :)

Answer:

5.41127

Step-by-step explanation:

The formula we use is d=c/π.