Katherine has a fish tank shaped like a triangular prism in her living room. The triangle that forms the base of the tank has a base of 24 inches and a height of 20 inches. The entire tank is 36 inches tall. What volume of water is needed to fill the tank if the tank is only filled to 6 inches below the top?

Answer:

[tex]\frac{3}{4}[/tex] of a sheet of paper

Step-by-step explanation:

Hi!

This isn't the easiest to explain with numbers but I'll do it with an example instead.

If you had 60 cookies and had to split it equally with you and one of your other friends, how would you do it?

You would do [tex]\frac{60}{2}[/tex], right? Because you have 60 cookies and you're dividing it amongst 2 people.

It's the same idea here!

We take the number of sheets of paper, and we divide it by the number of people we have to share it with.

so we do  [tex]\frac{3}{4}[/tex]. You don't even have to simplify in this case because this is a fraction and this is the simplest form of this fraction as well

I hope this made sense, let me know if you have any questions

Answer:

A

Step-by-step explanation:

Answer:

The answer would be it would increase by 40,000

Answer:

A

Step-by-step explanation:

n>= -6 and n<= 3

hope this helps

Answer:

_____________

Answer:

The function's behavior close to the vertical asymptote, x = 2 is;

[tex]\lim\limits_{x \to 2^-} f(x) = \infty[/tex] and [tex]\lim\limits_{x \to 2^+} f(x) = -\infty[/tex]

Step-by-step explanation:

From the graph of the function. we have;

1) As 'x' approaches 2 from the left (x → 2⁻), the graph with 'u' shape located in the middle of the three graphs, approaches infinity (arrow pointing up)

2) As 'x' approaches 2 from the right (x → 2⁺), the graph with 'n' shape located at the right side of the three graphs, approaches negative infinity (-∞) (arrow pointing down)

Therefore, the function's behavior close to the vertical asymptote, x = 2 is given as follows;

[tex]\lim\limits_{x \to 2^-} f(x) = \infty[/tex] and [tex]\lim\limits_{x \to 2^+} f(x) = -\infty[/tex]

Elimination method is my favorite way to solve 2 equations like this written in standard form! First I'm going to rewrite the equations and mark numbers to make this explanation more clear.

2x-3y=251️⃣

5x+3y=102️⃣

Looking at these 2 equations we can see that there is a +3 and a -3. This could be eliminated by adding the 2 equations together! *Remember what is on the left side adds with the left side, and what's on the right side adds with the right side. Therefore we can do:

1️⃣+2️⃣

2x-3y+5x+3y=25+10

7x=35

x=5

Then we can substitute the value of x back into either of the 2 equations.

2*5-3y=25

10-3y=25

3y=-15

y=-5

Then write the 2 answers together.

{x=5

{

{y=-5

Now we can check our answers.

2*5-3*-5=10- -15= 10+15=25 Correct

5*5+3*-5= 25+ -15= 10 Correct

From this we can see that x=5 y=  - 5 are the correct answers!

Answer:

116 degrees

Step-by-step explanation:

well from the picture we know this is a 45 45 90 style triangle therefore in if CBE is equal to 32 then ECB should also be equal to 32 leaving you with a total number of 64 degrees within the triangle. and in every triangle you must add up the degrees to 180 so if we subtract 64 from 180 we get 116 degrees for BEC

Answer: 116

Step-by-step explanation:

32 + 32 (because the angles are complementary) + 116 = 180!

Answer: Another way to look at it is that the rectangle was reduced in a factor of 5 (1/0.2=5)

don't forget to drop a heart hope it helped

Step-by-step explanation:

Answer: 1/0.2=5

Step-by-step explanation:

I hope this helps if you guys need a reach out to me :)

Answer:

percent 60%

fraction 60/100

ratio 60:40

(dk if it is)

Answer: 60% fraction: 6/10 ratio: 6:10

Step-by-step explanation:

Answer:

option D is correct answer of this question ,all is similar

Answer:

d

Step-by-step explanation:

Answer

false

true

false

false

Answer:

1st is 1/4 and 2nd is 1/10

We first calculate the front and back which are 2 congruent(equal) triangles. The 2 areas together is...

9*6/2*2=54

Now we want to calculate the 2 rectangles at the top right and top left of the shape they are also congruent(equal). The 2 areas together is...

7*5*2=70

The last part is the rectangle on the bottom with area...

9*5=45

Now we just need to add them all together...

54+70+45=124+45=169

I hope this helped you, if you have any questions about this solution just ask me in the comments :)

Answer:

223cm

Step-by-step explanation:

First you want to figure out how many faces the 3D shape has.

This has 5 faces.

Then you find the area of each face.

The front face has an area of 54cm because the length is 6cm and the width is 9cm.

Area = Length x Width

The back face will always have the same area as the front.

54cm + 54cm = 108cm (Front and Back Face)

Now the right side and left side.

The width of the side is 5cm and length is 7cm.

7cm • 5cm = 35cm

Just like the front and back, the right and left side will have the same area.

35cm + 35cm = 70cm

Now the last part.

There is no top face since this is a 3D triangle and not a square and rectangle etc.

So, you don't add it two times like the others.

The bottom's width is 5cm and the length is 9cm

5cm • 9cm = 45cm

Now you add all of it up together to find the surface area.

108cm + 70cm + 45cm = 223cm

Hope this helps dude

Answer:

the measure of angle 1 is 125

Step-by-step explanation:

hope this you the answer to your question

Answer:

pls give image

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think the exponent is ln6, not in6.

e^(ln 6)= 6

Answer:

21

Step-by-step explanation:

so if the ratio is 3:4

then we can also write the ratio as 3x:4x

where the total is 7x marbles and we see we have to chose the one that is divisible by 7 which is 21.

if my answer helped please mark as brainliest.

Answer:

Rewrite so x is on the left side of the inequality.

8 + 4.99x < 20

Move all terms not containing x to the right side of the inequality.

4.99x < 12

Divide each term by 4.99 and simplify.

x < 2.405

The result can be shown in multiple forms.

Inequality Form:

x < 2.405

Interval Notation:

( −∞ , 2.405 )

Step-by-step explanation:

Answer:

Both:

1

2

Inequality Only:

-4

3/4

2.3

Neither:

2.5

Answer:

It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1

Step-by-step explanation:

Answer:

d/24

Step-by-step explanation:

Answer:

6.77

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Where are the graphs

Step-by-step explanation:

Answer:

763

Step-by-step explanation:

there are 763 more apple trees than pear trees

Step-by-step explanation:

so, first we write the words into equations.

8P = A because there are 8x apples per x pear, so to make it equal we must multiply pears by 8. P+A = 981. replacing "A" in the second equation with "8P" to get P+8P=981=9P divide both sides by 9 to get 109 pear trees. knowing this we can get 981-109=A=872 apple trees. the problem asks for A-P  which we can replace the numbers to get (872)-(109)=763 more trees

Answer:122.625

Step-by-step explanation:981 divided by 8 equals 122.625

Answer:

200π m²

Step-by-step explanation:

The lateral area (A) of a cone is calculated as

A = πrl ( r is the base radius and l the slant height )

Here r = 8 and l = 25, then

A = π × 8 × 25 = 200π cm²

Answer:

x=-17

Step-by-step explanation:

x+54=37

-54. -54

x=-17

Answer:

answer is c, e, and a

Step-by-step explanation:

:-)

Answer:

y = 7 and x =3

Step-by-step explanation:

use elimination method

so we gonna eliminate y first

9x = 1 - 4y

-7x = -7 + 4y

7| 9x = 1 - 4y

9| -7x = -7 + 4y

63x = 7 - 28y

-63x = -63 + 36y

add eqtn 1 to eqtn2

you will get

0 = -56 + 8y

56 = -56 + 56 + 8y

56 = 8y

56÷8 = 8y÷ 8

7 = y

also eliminate x as we have done wth y

4| 9x = 1 - 4y

4| -7x = -7 + 4y

36x = 4 - 16y

-28x = -28 + 16y

add the two equations

u will get

8x = -24 + 0

8x = -24

8x÷8 = 24÷ 8

x = 3

Answer:

Rational: 4.2, -11/5, 0.36

Irrational:

[tex] \sqrt{ \frac{1}{4} } [/tex]

[tex] \sqrt{8} [/tex]

[tex]\pi[/tex]

[tex] \sqrt{ \frac{3}{4} } [/tex]

Step-by-step explanation:

Hope this Helped

Answer:

7(2m−3n)14m−21n

Step-by-step explanation:

The following pairs are equivalent

7(2m - 3n)

14m - 21n

If you solve 7(2m - 3n)

So

7(2m) - 7(3n)

14m - 21n

So according to the given options, the option c is correct as this pairs is to be considered as equivalent