Find the values of x any y. Write your answers in simplest form.​

Given:

The area of the cross-section is 55cm².

The volume of the prism is 330cm³.

To find:

The length of the prism.​

Solution:

We have,

Area of the cross-section = Area of base = 55 cm²

Volume of the prism = 330cm³.

Let x be the length(height) of the prism.

We know that,

[tex]\text{Volume of prism}=\text{Base area}\times height[/tex]

[tex]330=55\times x[/tex]

[tex]\dfrac{330}{55}=x[/tex]

[tex]6=x[/tex]

Therefore, the length of the prism is 6 cm.

Step-by-step explanation:

Hey there!

According to the question, you need to find out the distance from your friend's house to school.

Firstly figure out the coordinate of your school and school. Then use formula of distance.

So, we find the coordinates as (7,7) and (5,0).

So, x 1 = 7 y1= 7

x 2 = 5 y2 = 0

~ Use distance formula.

[tex]d = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

~ Put all values.

[tex]d = \sqrt{ {(5 - 7)}^{2} + ( {0 - 7)}^{2} } [/tex]

~ Simplify it.

[tex]d = \sqrt{ {( - 2)}^{2} + {( - 7)}^{2} } [/tex]

[tex]d = \sqrt{4 + 49} [/tex]

[tex]d = \sqrt{53} [/tex]

D= 7.280

Therefore, the distance between your friend's house and your school is 7.3 units.

Hope it helps....

you need to find out the distance from your friend's house to school.

Firstly figure out the coordinate of your school and school. Then use formula of distance.

So, we find the coordinates as (7,7) and (5,0).

So, x 1 = 7 y1= 7

x 2 = 5 y2 = 0

~ Use distance formula.

~ Put all values.

~ Simplify it.

D= 7.280

Therefore, the distance between your friend's house and your school is 7.3 units

Answer:

3

Step-by-step explanation:

4(1/2+3/4)+(-2)   Distribute.

2+3+(-2)             Simplify.

2+3-2

5-2

3

Hope this helps!! Have an amazing day (｡･∀･)ﾉﾞ

Answer:

...

against the wind, an airplane travels 3640 km in 7 hours.

with the wind, the same plane travels 6000 km in 6hrs.

...

let speed of plane in still air be x mph

speed of wind be y mph.

..

t=d/r

..

against wind speed = x-y mph

with wond speed = x=y mph

...

3640/(x-y)=7

3640 = 7x-7y

/7

520=x-y.....................1

...

6000/x+y = 6

6000 = 6x+6y

/6

1000=x+y.....................2

...

Add (1) & (2)

2x=1520

/2

x=760 mph speed of plane in still air

...

plug value of x in 2

1000=760+y

100-760=y

240 = y

240 mph speed of wind

Answer:

4 feet and 11 1/4 inches left

Step-by-step explanation:

5 feet - 1 foot leaves 4 feet

1 foot - 3/4 = 11 1/4

so, 4 feet and 11 1/4 inches left

Answer:

2(x - 8) = 2x - 16

2(-8) + x + x = -16 + 2x or 2x - 16

2(3x + 2) = 6x + 4

6x - 2(2x + 8) = 2x + 8

-2(-3x - 2) = 6x + 4

-2(-x + 8) = 2x + 16

-14 + 3 + 2(9) + 3x = 7 + 3x

2x + 2(2x + 2) = 6x + 2

Step-by-step explanation:

I hope this helps!

Answer:

#1 = 2x-16

#2=2(-8+x)

#3 i don't know

#4= 2(x-8)

#5=6x+4

#6=2x-16

#7=7+3x

#8=2(3x+2)

please lemme know if its correct

Answer:

1) 0.9 as fraction is:  [tex]\mathbf{\frac{9}{10}}[/tex]

2) Solve for c =4 for the equation [tex]2 \times (c^2-5)[/tex] we get 22

3) t = 64

4) p=3.15

5) Volume of Cuboid = 160 m³

6) x =9

Step-by-step explanation:

1) Write as fraction: 0.9

For writing the fraction, Since we have decimal point at tent's place so we can write it as: [tex]\frac{9}{10}[/tex]

So, 0.9 as fraction is:  [tex]\mathbf{\frac{9}{10}}[/tex]

2) Solve for c =4

[tex]2 \times (c^2-5)[/tex]

Put c = 4 and find the answer

[tex]2 \times (c^2-5)\\Put\:c=4\\=2\times ((4)^2-5)\\=2\times (16-5)\\=2\times(11)\\=22[/tex]

So, Solve for c =4 for the equation [tex]2 \times (c^2-5)[/tex] we get 22

3) [tex]\frac{t}{4}=16[/tex]

We need to find value of t

Multiply both sides by 4

[tex]4\times\frac{t}{4}=16\times 4\\t=64[/tex]

So, we get t = 64

4) [tex]2.4p=7.56[/tex]

We need to find value of p

Divide both sides by 2.4

[tex]\frac{2.4p}{2.4}=\frac{7.56}{2.4}\\p=3.15[/tex]

So, we get p=3.15

5) Find Volume of Cuboid

The formula used is: [tex]Volume\:of\: Cuboid=Length\times Breadth \times Height[/tex]

We have Length = 4, Breadth = 8 and Height = 5

Putting values and finding volume:

[tex]Volume\:of\: Cuboid=Length\times Breadth \times Height\\Volume\:of\: Cuboid=4\times 8 \times 5\\Volume\:of\: Cuboid=160[/tex]

So, Volume of Cuboid = 160 m³

6) [tex]3x=27[/tex]

We need to find value of x

Divide both sides by 3

[tex]3x=27\\\frac{3x}{3}=\frac{27}{3}\\x=9[/tex]

We get x =9

Answer:

30 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

30

Step-by-step explanation:

Volume is a cubic measurement.

Set up a ratio of volume to the ratio of the height:

100/v2 = 2^3/5^3

V2 = 100 x 5^3/2^3 = 100 x 125/8 = 1,562.5 cubic feet

The volume of large pyramid is 1,562.5 cubic feet, by using ratio of heights.

What information do we have?

Ratio of heights of two similar pyramids = 2:5

Volume of smaller pyramid = 100 cubic feet

Volume of smaller pyramid / Volume of large pyramid = Height of smaller pyramid³ / Height of large pyramid³

100 / Volume of large pyramid = 2³ / 5³

Volume of large pyramid = 125(100) / 8

Volume of large pyramid = 1,562.5 cubic feet

Find out more information about 'Pyramid'.

https://brainly.com/question/13057463?referrer=searchResults

Answer:  

The Original Number is 36 :)

explanation:

Answer:

Step-by-step explanation:

Step 1: Factor left side of the  equation.

(3x−2)(2x+1)=0

Step 2: Set factors equal to 0.

3x−2=0 or 2x+1=0

[tex]x=\frac{2}{3} or x=\frac{-1}{2}[/tex]

Answer:

everything but 1.091502…

Step-by-step explanation:

Brainliest please

Answer:

A,B,C,D,F

Step-by-step explanation:

Answer:

theres no attachment!

i could help you if there was

Step-by-step explanation:

Answer:

dfadfadsadas

Step-by-step explanation:

Answer: n^3/m^2

Step-by-step explanation:

first, i expressed it with a positive exponent.

1/m^2 x n^3

then, i calculated it from there.

n^3/m^2

Answer:

The answer's the third one listed.

Step-by-step explanation:

The equation to solve for x is:

6x + 16 + 10x - 6 + 90 = 180

16x + 100 = 180

16x = 80

x = 5

To solve for angle BCD, just substitute 5 for x

m = 10(5) - 6

m = 50 - 6

m = 44

Answer:

40°

Step-by-step explanation:

[tex]\cos (x-10\degree )= \frac{ \sqrt{3} }{2} \\ \\ \cos (x-10\degree )=\cos 30\degree \\ \\ x-10\degree = 30\degree \\ \\ x = 30\degree + 10\degree \\ \\ x = 40\degree[/tex]

Answer:

[tex]5x-6[/tex]

Step-by-step explanation:

Answer:

5x-6

Step-by-step explanation:

Here is the simplified version and I'm guessing that's what you need

2(x-3) + 1/2 (6x)   Now we distribute

2x-6+3x      Combine the like terms

5x-6    

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

- 3x - 5y = - 7 → (1)

- 4x + 5y = 14 → (2)

Add the 2 equations term by term to eliminate y , that is

- 7x + 0 = 7

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

- 3(- 1) - 5y = - 7

3 - 5y = - 7 ( subtract 3 from both sides )

- 5y = - 10 ( divide both sides by - 5 )

y = 2

solution is (- 1, 2 )

Answer:

( -1, 2)

Step-by-step explanation:

Since this is asking for elimination, you will need to line up x or y to be the opposite amount:

-3x -5y = -7

-4x + 5y = 14

(notice -5y and 5y are already opposite, therefore no further actions are needed to line them up.)

Next step is to add both equations up to eliminate y and to find x:

-7x = 7

x = -1

After finding x, plug the x back into either one of the equations to solve for y. If you are unsure, you can plug it into the other equations to double check.

If you chose to do equation 1:

-3(-1) -5y = -7

3 -5y = -7

-5y = -10

y = 2

If you chose to do equation 2:

-4(-1) + 5y = 14

4 + 5y = 14

5y = 10

y = 2

After finding x and y, you will find the point ( -1, 2)

Answer:

x = 60

Step-by-step explanation:

The formula for this kind of question is

Area of sector = x / 360 * pi * r^2  = 24*pi

x/360 * pi * 12^2 = 24 pi

x/360 * pi * 144 = 24 pi                  the pi s cancel out

x / 360 = 24/144                             Multiply both sides by 360

x = 24 * 360/144

x = 60

Answer:

x=6

Step-by-step explanation:

24=4x

divide both by 4

equals 6

Answer:

to find x we have to find the similarly between the smaller and the larger triangle

the two triangle are similar by side angle side(SAS) similarly therom.

we have to see carefully that the two triangle are similar but not congruent.

Step-by-step explanation:

so the bigger triangle is twice big as the smaller.

so 24/4x =2

8x=24

x=24/8

x=3

Answer:

the answer is (3, 2)

Step-by-step explanation:

the formula to find the centroid of a triangle is

{( x1+x2+x3)/3 , ( y1+y2+y3)/3}

Answer:

$30

Step-by-step explanation:

5% of 600 = 0.05 × 600 = 30

Answer:

2

Step-by-step explanation:

when you combine all the terms (7 - 14 + 8+ 10 - 4+ 5) and divide by the number of terms (6) you get 2

Answer:

43.83...

Step-by-step explanation:

you add up all the numbers then divide by the numbers that are listed... :)

Answer:

c I guess tell me if I am wrong yall