This trapezoid represents the base of a right prism that has a surface area of 1688 square feet. The sum of the lengths of the legs of the trapezoid is 42 feet.

What is the height of the prism?

Enter your answer in the box.

ft

Answer:

Step-by-step explanation:

Area

Area = length * width

2*4=8 for top rectangle

8*3=24 because there are two rectangles

2*2=4 for the box

4*2=8 because there are two boxes

24+8 = 32 units

Perimeter

Count every single unshaded block that shares a side with a shaded block
I count 25 units

Answer:

16

Step-by-step explanation:

Length: 4

Width: 2

Height : 2

"To find the volume of something, simply multiply Length, Width, and height."

4 x 2 x 2 = 16

Have a nice day/night

Answer:

[tex]16cm^3[/tex]

Step-by-step explanation:

The volume of a cuboid (a rectangular cube) is: l*w*h

l = 4cm

w = 2cm

h = 2cm

l*w*h

4*2*2

8*2

[tex]16cm^3[/tex]

Hope this helps!

Answer:

6. integer, natural number

7.No

8. 6, 5.7

17. a=5

18.yes

19.yes

20.yes

explaination for 18-20: They all can be put into a fraction. For 18, after rooting both numbers, would be 1/3 (same with 20). For 19, it would be root 5 over 3.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because its at 6,3

Answer:

GCF = 8

32+72 = 8*(4+9)

Step-by-step explanation:

Answer:

2a + 4 + 7b

Step-by-step explanation:

ohh so to do this umm if you want it to be easier you can put a different symbols under the ones with the same variable. like a dot under 4a and - 2a, a square under .....

but if you want to do it without that, all you have to do is add them like numbers

you can also move them closer to each other. for example:

4a - 2a + 8 - 4 + 7b

4 - 2 is 2 so you just have to write 2a

2a + 8 - 4 + 7b

simplify

2a + 4 + 7b

since there are no other numbers with the variable b the equation above is the answer

Answer:

360

Step-by-step explanation:

the ski lift is 360

Answer:

She would save $2

Step-by-step explanation:

     We can solve how much 144 sodas will cost in each place, and then compare the difference between them.

     [Solving]

     144 sodas are needed in total.

     Price Co is 36 diet sodas for 10 dollars.

-> 144 / 36 = 4

-> 4 * $10 = $40 at Price Co

     Save More is 24 diet sodas for 7 dollars.

-> 144 / 24 = 6

-> 6 * $7 = $42 at Save More

     [Compare differences]

$42 - $40 = $2

-> She would save $2 by purchasing the drinks at Price Co.

Answer:

Volume of Cube:

l×b×h

5/3*4/3*2

=9/3*2

=3*2

6

I think it will help you

8 / 15 for the whole kitchen floor

( ( 2 / 5 ) / 3 ) * 4 = 8 / 15

Answer:

118 because in this rhombus it is a square tilted on its side, so, that makes the opposite angles congruent, which means y=118.

Answer:

The first sack had 80lb.

The second sack had 60lb.

Step-by-step explanation:

1) So we know that at the end, both sacks had to be even & when added, equal to 140. That would mean both sacks would be 70lb after taking 1/8 from the first sack.

2) If we add 10lb. to the first sack we make it 80lb. That means we would have to take away 10lb from the second sack, making it 60lb. We know we can do this b/c the sum of 80+60=140

3) 1/8 of 80 is 10. So take 10lb away from the 1st sack and give it to the 2nd sack, and both sacks are even at 70lb and their sum is 140lb.

4) That means that originally the 1st sack weighed 80lb and the 2nd sack weighed 60lb.

Answer:

First snack contains 80 lb.

The second snack contains 60 lbs

Step-by-step explanation:

We know  in the end , both bags must be even and equivalent to 140 once totaled. This means the sacks would indeed be 70lb following subtracting 1/8 the first.

We can make the first bag 80 lb by adding 10 lb to it. That means we'd have to subtract 10 lb from the next sack, bringing it to 60 lb. We assume we can achieve it since  140 is the what you get when you do 80+60.

10 is the answer of 1/8 of 10. So remove 10lb from the first sack and put it in the second, and both bags are even at 70lb, and their total is 140lb.

This suggests that the very first sack is 80 lbs and the second one is 60 lbs.

Answer:

The probability of an event is a number from 0(impossible) to 100(certain).

Probabilities are wriiten as: fractions, decimals, and percentages.

Step-by-step explanation:

Answer:

1. 6 action figures

2. Yes, they are going at the same speed

Step-by-step explanation:

1. divide 9 by 3 which is 3 x 2 which is 6

2. simlify the speeds, by putting them into fraction with [tex]\frac{meters}{minutes}[/tex]

See below.

1. 6 action figures

2. Yes, they are going at the same speed

1. divide 9 by 3 which is 3 x 2 which is 6

2. simlify the speeds, by putting them into fraction with meters/minutes.

Brainliest??

Answer:

To determine if a number is prime or composite, follow these steps:

Step-by-step explanation:

1. Find all factors of the number.

2. If the number has only two factors, 1 and itself, then it is prime.

3. If the number has more than two factors, then it is composite.

So, if you can, you might want to use a calculator.

Answer:

y=-5-2x

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=1-2x.

The slope of the parallel line is the same m=-2

So, the equation of the parallel line is y=-2x+a

To find a, we use the fact that the line should pass through the given point: 1=(-2)×(-3)+a.

Thus, a=-5

Therefore, the equation of the line is y=-5-2x

Answer:

gene would have 45

Step-by-step explanation:

if you take 55 and times that by 2 you get 110 then gene would need a toyal of 90 to complete the 200 so if you divide 90 by 2 you get 45

Answer:

C is correct

Step-by-step explanation:

You divide by 2 and that leaves x+55=100-55=45

You would finish with 45

Explanation:

A negative trend is when one variable goes up and the other variable goes down (or vice versa).

As the temperature goes down, the heating bill is likely to go up. This is of course assuming the person(s) use the heat to stay warm rather than just solely rely on something like coats/blankets/etc.

As the temperature goes back up, there's little to no need for heating. So the heating bill will likely go down.

As the name implies, negative trend graphs have negative slopes for the regression lines.

Answer:

Below

Step-by-step explanation:

You simplify by adding the common factors together, like 3x+4x, which gets 7x. Also the same for subtraction, multiplication, and division.

Simplify it by dividing both the numerator and denominator by the same amount. They both must have a result.

For example, we have 8/16.

We can divide it by 2 which gives us 4/8, but it can be simplified more.

We can divide it by 4 this time, which gives us 2/4, but it can still be smaller.

We can divide it by 8 this time, which gives is 1/2. This is the farthest simplification that you can get for 8/16.

Hope this helps

Answer:

23 inches

Step-by-step explanation:

Diameter: [tex]d=\frac{C}{\pi}[/tex]

[tex]d=\frac{C}{\pi} \\\\d=\frac{72}{3.14} \\\\d=22.929\\\\d=23[/tex]

Check your answer using the circumference of a circle: [tex]C=2*\pi*r[/tex]

Radius (r) = d/2. So 23/2 = 11.5

[tex]C=2*\pi*r\\\\C=2*3.14*11.5\\\\C=72.22\\\\C=72\ inches[/tex]

Hope this helps!

Answer:

I would try and help but unfortunately I dont know the answer

Answer:

A)  5/13

Step-by-step explanation:

Total number of cars counted:

= red cars + not red cars

= 25 + 40

= 65

Therefore, the probability that the next car is red = number of red cars counted ÷ total number of cars counted

[tex]=\dfrac{25}{65}[/tex]

Divide the numerator and denominator by 5 to simplify:
[tex]=\dfrac{25 \div 5}{65 \div 5}=\dfrac{5}{13}[/tex]

Answer:

42.9%

Step-by-step explanation:

The person above gave the correct answer, I got it right

250,000 -175,000 = 75,000

75,000 divided by 175,000 = 0.42857142857

0.42857142857 x 100 = 42.9

42.9% is the percent change

Answer:

Option D) (136-2a) + ( 3a + 39) = 180

Step-by-step explanation:

As per provided information .

XQR is a straight line So, sum of all angles formed on straight line is 180° .

This Means

∠XOM + ∠MOR = ∠XQR

On putting the given value we obtain

(136 - 2a) + (3a + 39) = 180

So, the required option is (D) (136 - 2a) + (3a + 39) = 180

You can solve it further to get the value of a .

Hope you like the answer. If you need anymore help you can ask me. Mark me as the brainlist.

Answer:

-3411-13-1-2443-12.217.725.3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Its 45 because if they were defective 1/10 it would be 50

And because they are defective slightly less it has to be 45

Answer:

3%

Step-by-step explanation:

175.10/170=1.03

since it is a positive we can forget about the one