"The area of the base of a rectangular prism is 12 cm2, and the height is 3 1/3cm. Determine the volume of the rectangular prism."

please helppppppp

Answer:

A. 12 square feet

Step-by-step explanation:

So it's easier to find the area when you split the shape into 2 parts, and they already did that for you. So basically you find the area of both triangles and add them together. The formula for a triangle is base x height divided by 2. You don't have to do that because there are 2 triangles with the same base and height so you don't have to divide it by 2. 3 x 4 = 12, so A. 12 square feet is your answer.

Answer:

Step-by-step explanation:

4x + y = x + 3y

4x - x = 3y - y

3x = 2y

if x = 6 then

3*6 = 2y

18 = 2y

y = 9

Answer:

10,500

Step-by-step explanation:

See this as 2 rectangles: a box of water (28cm), and another box with the height you want (35cm)

Area of Rectangle = lwh

For the water;

50 x 30 x 28= 42000

As for the needed volume:

50 x 30 x 35 = 52500

To find how much more water, subtract the smaller volume from bigger volume.

10500 should be the final answer

Answer:

There are 24 students and teachers that rode in vans, and there are 385 students and teachers that rode in buses.

Step-by-step explanation:

First we are going to set up a system of equations where:

b= number of buses

v= number of vans

We know from the equation that each bus transported 55 people and that each van transported 12 people and that there was a total of 409 people transported. We also know that the number of buses was 5 more than the number of vans.

Knowing that we can set up our system:

[tex]\left \{ {{55b+12v=409} \atop {b=v+5\\}} \right.[/tex]

Since we know what b is equal to, we can now use the substitution method to plug the value of b from the bottom equation into the one on the top and solve for variable v.

55(v +5)+12v =409

From there we can distribute 55 into (v+5)

55v +275+12v =409

We can now combine like terms.

67v +275 = 409

From there we subtract 275 from both sides of the equation to isolate the variable.

67v +275 = 409

      -275    -275

After doing this, we now divide both sides of the equation by 67 to solve for v.

[tex]\frac{67v}{67} =\frac{134}{67}[/tex]

We now know that v, the number of vans is 2 and can plug that into our bottom equation from our system of equations ([tex]b=v+5[/tex]).

[tex]b=2+5\\b=7[/tex]

Knowing that there are 7 buses and 2 vans, we can now plug these numbers into the terms in the top equation of our system. 55b and 12v.

[tex]55(7)=385[/tex]

[tex]12(2)= 24\\[/tex]

385 people rode buses. 24 people rode vans

Check your equation

409 people went in total. 385 + 24 = 409.

person above is correct

Answer:

none of those

Step-by-step explanation:

A trapezoid is a 4-sided shape with 1 parallel side

Could you pls choose this as brainliest???!!!

Answer:

The digit that makes the statement true is 2...hope this helps:)

Answer:

The digit is two.

Step-by-step explanation:

It is very simple, to find if a number is divisible by 3 specifically, you need to add all the digits together. All the digits together added up to 37, which is not divisible by 3. But if you make the missing digit 2 then the digits add up to 39 which is divisible by 3.

Answer:

5 2/3 divided by 2 2/3 = 17/3 divided by 8/3 = 17/8 = 2 1/8 miles per hour

2 2/3 divided by 5 2/3 = 8/3 divided by 17/3 = 8/17 hours per mile

Step-by-step explanation:

same, i want the answer for the same question pls answer

Answer:

[tex]\large\boxed{ \sf 16x+12}[/tex]

[tex]\rightarrow \sf 4(5x+3)-4x[/tex]

[tex]\rightarrow \sf 4(5x) +4(3)-4x[/tex]

[tex]\rightarrow \sf 20x +12-4x[/tex]

[tex]\rightarrow \sf 20x -4x+12[/tex]

[tex]\rightarrow \sf 16x+12[/tex]

B).16x+12

Step-by-step explanation:

The x value is the same, the y value is different,

Y is the up and down movement.

Moving from -8 to -5 is an upward move of 3 units.

Answer: 1, 3 units up.

Answer:

0

This is because for a number to be divisible by 9 all the digits should add up to a number divisible by 9. Since they already do you just put a 0.

$52.63

To find 20% of $43.86 we multiply $43.86 by 0.2

$43.86 • 0.2 = $8.772

Now add $43.86 and $8.772 to find out how much the family paid altogether.

$43.86 + $8.772 = $52.632

In money the smallest place value is cents so we have to round to the hundredths place.

Doing this we get the grand answer of:

$52.63

Answer:

the answer is 30!

Answer: x= 385/12

Step-by-step explanation:

You would first change the denominator to some number that is common. Then combine the like terms. Lastly, subtract the fraction from the equal and you get your x.

[tex]\frac{13}{4} +\frac{1}{6} +x=\frac{71}{2} \\(\frac{39}{12})+(\frac{2}{12})+x=\frac{426}{12} \\\frac{41}{12}+x=\frac{426}{12} \\x=\frac{385}{12}[/tex]

Answer:

90 square kilometers

Step-by-step explanation:

1. split the figure in small definite sections

2. find the areas of the smaller sections.

3. find the sum of the areas.

Answer:

Let [tex]\pi[/tex] represent 3.14
SA = 2[tex]\pi[/tex]r^2 + 2[tex]\pi[/tex]rh
SA = 2[tex]\pi[/tex](5)^2 + 2[tex]\pi[/tex](5)(12)
SA = 2[tex]\pi[/tex](25) + 2[tex]\pi[/tex](60)
SA = 50[tex]\pi[/tex] + 120[tex]\pi[/tex]
SA = 50(3.14) + 120(3.14)
SA = 157 + 376.8
SA = 533.8inch^2

Therefore the surface area of the cylinder is 533.8 square inches.

Answer: Let  represent 3.14SA = 2r^2 + 2rhSA = 2(5)^2 + 2(5)(12)SA = 2(25) + 2(60)SA = 50 + 120SA = 50(3.14) + 120(3.14)SA = 157 + 376.8SA = 533.8inch^2

Answer:

Boc= 80..it's opposite to the other and equal.

cod is 60. if you substract 360- 240 you get 120..then in half you gibd 60

Answer:

Write and solve a proportion to answer the question.

34 is 75% of what number?

34w= 12/16

w= what?

Can anyone please

Step-by-step explanation:

Answer:

45.33

Step-by-step explanation:

Answer:

5100

Step-by-step explanation:

20 x 17 x 15 = 5100. hope this helps you!!!

also formula is 1/2 x b x h x l

Answer:

e = 126

Step-by-step explanation:

Both triangles are isosceles triangles. Therefore in the smaller triangle, there are two angles that are equal to 42 degrees (the other one is next to e)

42 + 42 = 84

there are 180 degrees in a triangle

180 - 84 = 96

So the last angle in the triangle (The little one) is equal to 96 degrees.

The rule for cyclic quadrilaterals is that the two opposite angles equal 180. So the angle opposite 96 degrees will be equal to:

180 - 96 = 84

As the larger triangle is also an isosceles (as mentioned above), two angles will be equal to each other. The two angles that are equal are at the bottom left. As one of them is equal to 84, the other is also equal to 84. This means the last angle (the one at the top) is equal to:

180 - (84 + 84) =

180 - 168 = 12

Angles on a straight line always equal 180 degrees. So 'e' is equal to 180 minus the other two triangle angles on the line they all share.

180 - (12 + 42) =

180 - 54 = 126

Therefore e = 126

Answers in the picture

Answer:

6

Step-by-step explanation:

If you divide 30 by 5 you would get 6 and 6x5 is 30 aswell

Answer:

wut is this even supposed to be???

Step-by-step explanation:

Answer:

It’s 1, 7 bc that’ll finish the square