consider the original trapezoid and the enlargement.

Answers:

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

Explanation:

The volume is the amount of stuff that a container can hold on the inside, while the surface area is the amount of stuff that goes on the outside of the container (eg: the amount of paint or wallpaper). In the case of wallpapering a room, we're actually doing the inner walls rather than the outside walls; however, it's the same concept. The surface area only deals with the surface and we want to find out how much area we have to cover. That way we can know how much wallpaper to buy. For problem 1, he needs to know the volume so he can find out how much trash each can would be able to hold. The greater the volume, the larger the bin. For instance a small wastebasket would have a small volume compared to a large waist high heavy duty trash container.

Answer:

m∠A = 108º

Step-by-step explanation:

The total of the angles in a four sides figure is 360

x + 2x + 3x + 4x = 360

Combine like terms

10x = 360

Divide both sides by 10

x = 36

------------------

m∠A = 3x

m∠A = 3(36)

m∠A = 108

Answer:

62 year old is he is right

Answer:

Step-by-step explanation:

let the paul age be x

and steve age also be x+1

x+1+x=61

2x+1=61

2x=61-1

x=60/2

x=30

so steve is 31 years.

Answer:

See answers below

Step-by-step explanation:

If 4 coins are tossed. the total possible outcomes are;

H H H H , H H H T, H H T H, H T H H, T H H H , H H T T, H T T H, T T H H, H T H T, T H T H, T H H T , H T T T, T H T T, T T H T, T T T H  and T T T T

Total outcomes = 16

1) zero head = T T T T = 1 outcome

Probability = Expected/Total outcome

Pr(zero head) = 1/16

2) one head = H T T T, T H T T, T T H T, T T T H   = 4 outcomes

Probability = Expected/Total outcome

Probability = 4/16

Pr(one head) = 1/4

3) two heads = H H T T, H T T H, T T H H, H T H T, T H T H, T H H T   = 6 outcomes

Probability = Expected/Total outcome

Pr(two head) = 6/16

Pr(two head) = 3/8

4)  three heads = H H H T, H H T H, H T H H, T H H H   = 4 outcomes

Probability = Expected/Total outcome

Pr(three heads) = 4/16

Pr(two head) = 1/4

5) four heads appearing on the four coins =  H H H H = 1 outcome

Pr(four heads) = 1/16

Answer:

She needs an annual interest rate of 7.54%.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

She figures that this will cost a total of $25,750.

This means that [tex]A = 25750[/tex].

Sandra already has $21,400 saved up

This means that [tex]P = 21400[/tex].

Semianually compunding, 2.5 years.

This means that [tex]n = 2, t = 2.5[/tex]

What interest rate?

We have to find r. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]25750 = 21400(1 + \frac{r}{2})^{2*2.5}[/tex]

[tex](1 + 0.5r)^5 = \frac{25750}{21400}[/tex]

[tex]\sqrt[5]{(1 + 0.5r)^5} = \sqrt[5]{\frac{25750}{21400}}[/tex]

[tex]1 + 0.5r = (\frac{25750}{21400})^{\frac{1}{5}}[/tex]

[tex]1 + 0.5r = 1.0377[/tex]

[tex]0.5r = 0.0377[/tex]

[tex]r = \frac{0.0377}{0.5}[/tex]

[tex]r = 0.0754[/tex]

0.0754*100% = 7.54%

She needs an annual interest rate of 7.54%.

30

you can easily find out the answer by multiplying 2/3 by 10 on both the numerator and denominator to get 20/30 which is the amount of people that like the chip flavor. the other 10 is the people that don't like it.sorry if I gave you a stroke but 20 people like the chip and 10 people don't so theres 30 people in total

Answer:

Answer = 126 square inches

Step-by-step explanation:

Square area formula is Area = s^2    (replace the s with the side length)

Square area -->  Area = 4^2       Area = 16in

Parallelogram area formula is Area = h * b (replace h with height length and replace b with base length)

Parallelogram area --> Area = 3.5 * 10     Area = 35

Rectangle area formula is Area = w * h    (replace width and height)

Rectangle area --> Area = 12.5 * 6    Area = 75

Then add them all up  75 + 35 + 16 = 126 square inches

Answer:

64

Step-by-step explanation:

1 x 2 = 4

4 x 2 = 8

8 x 2 = 32

32 x 2 = 64

Answer:

256

Step-by-step explanation:

1, 2, 2, 4, 8, 32

this is how the pattern works;

1*2 = 2

2*2 = 4

2*4 = 8

4*8 = 32

8 * 32 = 256  by calculator

Answer:

False

Step-by-step explanation:

If we were to flip the solid on the left so its parallel to the solid on the right, we would be able to compare the two more easier.

We can see that the right solid has dimensions of:

L = 1 cm

W = 3 cm

H = 5 cm

The left solid has dimensions of:

L = 1

W = 2

H = 7

If we were to add these all up, they would not equal.

R: 1 + 3 + 5 = 9

L: 1 + 2 + 7 = 10

Answer:

160 Total

Step-by-step explanation:

105,732cm3

44x27x89= 105,732.

hope this helps <3

Answer:7-10

Step-by-step explanation:

In this question it is asking what is the biggest change in the temperature that happened "next to the other one" on the table

And the change from 7-10 is the highest change that is "next to each other"

the sum is 70 seventieth 70th

Answer:

Step-by-step explanation:

Add together the multipliers 4 and 3 to get 7; then we have 7*10,  or 70.

Answer:

There are 24 candidates. Counting rule three states that N objects can be arranged in N! different ways. So, 4 different aces can be arranged in 4! = 24 ways, and each of the 24 candidates can be assigned a unique sequence of aces.

Step-by-step explanation:

this is the sample answer

Answer:

each 24 candidates can be assigned a certain ace

Step-by-step explanation:

i said that

Answer:

C. x= 27

Step-by-step explanation:

Answer:

31 and 4

Step-by-step explanation:

Answer:

25.4%

Step-by-step explanation:

Here, we are to calculate the sample proportion :

Number sampled, n = 1158

x, = number of sample irked by tailgaters = 294

Sample proportion, Phat = x / n

Phat = 294 / 1158 = 0.25388

Phat = 0.25388 * 100% = 25.388%

= 25.4%

Answer:

9.1

Step-by-step explanation:

The lower quartile, denoted as Q1, gives the value of the lower quartile, from a box plot, the value of the lower quartile is the value at the starting point of the box. In the box plot given for the windspeed in Chicago, the starting point of the box is the point marked with the reading 9.1. Hence we can conclude that the lower quartile is 9.1

Answer:

4,301,970

5,149,815

Step-by-step explanation:

The cost of a bicycle is 2895

Therefore the cost of 1486 bicycles is

= 2895×1486

= 4,301,970

A truck can carry 6785 kg of food

Therefore the amount in which 759 truckj can carry can be calculated as follows

= 6785×759

= 5,149,815

Answer:

She has an initiall amount of 6 hours, so if T is the amount of time that passed since she rented the boat, the inequality that describes this system is:

0≤ T ≤ 6

This means that she can use the boat from 0 hours to 6 hours, here we are allowing the intermediate values because, of course, she can return the boat earlier than in the given time.

From this we have that the maximum time left that she has can be written as:

x + T = 6

so if T = 3h, meaning that 3 hours passed, she has:

X + 3 = 6

x = 6 - 3 = 3

3 hours left.

Step-by-step explanation:

Answer:

Answer:

Is there a follow-up question you forgot to add?

Step-by-step explanation:

Answer:

(C,A) = (15/2, 25/2)

Step-by-step explanation:

this seems to be this answer above !hope this helps !!!

Answer:

b

Step-by-step explanation:

b

Answer:

two of them are possible which one is the correct

Answer:

3,2

Step-by-step explanation:

The vertex is just the lowest or highest point of a parabola.

Answer:

(3, 2)

Step-by-step explanation:

The vertex of this quadratic is also the minimum value.  By inspection we see that the y-coordinate of the minimum is 2 and the x-coordinate is 3.  Thus, the vertex is (3, 2).

Answer:

f(x) = (x+5)(x-8)(x-2)

Step-by-step explanation:

If we know the zeros, the polynomial is of the form

f(x) = (x-a)(x-b)(x-c)  where a,b,c are the zeros

f(x) = (x - -5)(x-8)(x-2)

f(x) = (x+5)(x-8)(x-2)

Answer:

f(x) = (x + 5)(x - 8)(x - 2)

Step-by-step explanation:

Given a polynomial with zeros x = a , x = b , then the corresponding factors are

(x - a) and (x - b)

The polynomial is a product of the factors, that is

f(x) = (x - a)(x - b)

Here the zeros are x = - 5, x = 8, x = 2, then corresponding factors are

(x - (- 5)), (x - 8), (x - 2) , that is

(x + 5), (x - 8), (x - 2) and the polynomial is

f(x) = (x + 5)(x - 8)(x - 2)

Answer:

[tex]35.33\ m^3[/tex]

Step-by-step explanation:

Given that,

Height of the cylindrical well, h = 20 m

The diameter of the well, d = 1.5 m

Radius, r = 0.75 m

We need to find the volume of the well. This will be the amount that is dug out to make a well. So,

[tex]V=\pi r^2 h\\\\V=3.14\times (0.75)^2\times 20\\\\V=35.33\ m^3[/tex]

So, [tex]35.33\ m^3[/tex] soil was dug out to make a well.

Answer:

3

Step-by-step explanation:

I don't know plz correct me If I'm wrong

Also brainliest?

Step-by-step explanation:

skakisjsjsjjajabbajaj

Answer:

3.66

Step-by-step explanation:

( 1.2 ) x 3.05 = 3.66