Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 1 liter of gas, to fill the go cart tank. 1 liter = 100cm to the power of 3. How many full gas cans will it take to fill the go cart's gas tank?

Answer:

the table is correct

the graph will look like:

Answer:

V=11*7*9=693

Step-by-step explanation:

V=Bh ( B is the base area ( base*height) , and h is the height of the prism)

find B=base*h

B=11*7=77 in²

V=B*h=77*9=693 in³

The volume of the triangular prism is 174.25 in³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the triangular base has a base of 11 inches and height of 7 inches.

The formula for finding the volume of a triangular prism is V = (base area x height) / 2.

In this case, the base area of the triangle can be calculated using the formula A = (1/2)bh, where b is the base length and h is the height.

In this case, b = 11 inches and h = 7 inches, so the base area is A = (1/2)(11)(7) = 38.5 inches squared.

Now that we have the base area, we can calculate the volume of the triangular prism: V = (38.5 inches² x 9 inches) / 2 = 174.25 in³.

Therefore, the volume of the triangular prism is 174.25 in³.

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Answer:

Final velocity, v = 21.75 m/s

Step-by-step explanation:

Given that the relation between final velocity, initial velocity, acceleration and distance traveled is expressed as:

[tex]v^2=u^2+2as[/tex]

Also, given that:

Initial velocity, u = 9 m/s

Acceleration, a = 7 m/[tex]s^2[/tex]

Distance, s = 28 m

To find:

Final velocity, v = ?

Solution:

The given relation between v, u, a and s is:

[tex]v^2=u^2+2as[/tex]

We have the values of initial velocity, acceleration and distance traveled in the question statement. We just need to put all these values to find the value of final velocity.

Let us put all the values in the given equation and try to find final velocity, v:

[tex]v^2=9^2+2\times 7 \times 28\\\Rightarrow v^2=81+14 \times 28\\\Rightarrow v^2=81+392\\\Rightarrow v^2=473\\\Rightarrow v=\sqrt{473}\\\Rightarrow v=21.75\ m/s[/tex]

So, the answer is:

final velocity, v = 21.75 m/s

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Following are the description of the given points:

(a) This is a system of probability, which possibility occurs inside an intended manner whenever they choose this specific point of origin from 1 to 100 with no one reserve the possibility about who gets throughout the survey.  

(b) Its method is different from the random sampling technique with the base available. For example, two individuals whose names identical to both the list have no chance to join within the survey.  

(c) its sample is objective to its everyone can enter the test in equal measure.

Answer:

The common difference = 2.

Step-by-step explanation:

An AP can be written as  a1,  a1 + d,  a1 + 2d,  a1 + 3d,  a1 + 4d,  a1 + 5d, a1 + 6d , a1 + 7d.    

 where a1 = first term and d is the common difference.

Here first term = a1 = 8

3rd term = a1 + 2d = 8 + 2d

5th term = a1 + 4d = 8 + 4d

8th term = 8 + 7d

First 3 terms of a GP are  a , ar and ar^2

So from the given information:

a = 8 + 2d

ar = 8 + 4d

ar^2= 8 + 7d

Dividing the second equation by the first  we have

r = (8 + 4d)/(8 + 2d)

Dividing the third by the second:

r = (8 + 7d) / (8 + 4d)

Therefore, eliminating r we have:

(8 + 4d)/(8 + 2d)  =   (8 + 7d)/(8 + 4d)

(8 + 4d)^2 = (8 + 2d)(8 + 7d)

64 + 64d + 16d^2 =  64 + 72d^ + 14d^2

2d^2 - 8d  = 0

2d(d^2 - 4) = 0

2d = 0 or d^2 = 4, so

d =  0, 2.

The common difference can't be zero so it must be 2.

Answer:

(-19 , -7)

Step-by-step explanation:

y - x = 12

y + x = -25 we sum them to get

2y = -14 , y = -7

then we put -7 instead of y in any of the equations:

-7 - x = 12

-x = 19

x = -19,

finally (x , y) is (-19 , -7)

Answer:

31.85

Step-by-step explanation:

Hey there!

Well to simplify the given expression we do,

-6.5 * -4.9

= 31.85

Hope this helps :)

The answer is- D. 324 pi units squared

The volume of the cone is 324π cubic units, option C is correct.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the volume of cone whose height is 12 units, radius is 9 units

Volume = πr²h/3

Now let us plug in values of r and h which are radius and height respectively

Volume of cone = π × 9² ×12 /3

= π × 81×4

=324π cubic units

Hence, the volume of the cone is 324π cubic units, option C is correct.

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Answer:

0.0015 km².

Step-by-step explanation:

It is given that a map is drawn to a scale of 1 cm to 250 cm.

[tex]1\ cm\times 1\ cm=250\ cm\times 250\ cm[/tex]

[tex]1\ cm^2=62500\ cm^2[/tex]

It is given that an airport has an area of 240 cm² on the map. So, its actual area is

[tex]Area=240\times 62500\ cm^2[/tex]

[tex]Area=15000000\ cm^2[/tex]

[tex]Area=\dfrac{15000000}{10000000000}\ km^2[/tex]

[tex]Area=0.0015\ cm^2[/tex]        [tex][\because 1\ km^2=10000000000\ cm^2][/tex]

Therefore, the area of airport is 0.0015 km².

Answer:

5

Step-by-step explanation:

We need to find the value of AP

First, lets compare the perimeters:

Sum of the perimeters of smaller triangles:

As BP+PC= BC we can put it as:

and

Plug in values of perimeters:

Answer is: 5

Answer:

Step-by-step explanation:

6s³ + 9s + 10 + 3s³ + 4s - 10

Collect like terms

6s³ + 3s³ + 9s + 4s + 10 - 10

Since, two opposites add up to zero, remove them from the expression

6s³ + 3s³ + 9s + 4s

add the like terms

9s³ + 13s

hope this helps..

best regards!!

Answer:

9s^3+13s

Step-by-step explanation:

Add each term:

9s^3+13s

I hope this helps...

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Answer:

neither on of those. I can't see the the other answers so your best bet is to look on m-a-t-h-w-a-y. (had to spell out with hyphens but remove them and go to that)

Step-by-step explanation:

Answer:

1/4PI I GOT IT RIGHT ON KHAN ACADEMY

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

              ✌ -ZYLYNN JADE ARDENNE

Answer:

[tex]\boxed{\frac{1}{2}\pi}[/tex]

Step-by-step explanation:

Use length of arc formula.

[tex]\frac{\theta }{360} \times2 \pi r[/tex]

The radius is 1 unit.

θ = 90°

[tex]\frac{90}{360} \times 2\pi (1)[/tex]

[tex]\frac{1}{4} \times 2\pi[/tex]

[tex]\frac{1}{2} \times\pi[/tex]

Answer:

x=1.75

Step-by-step explanation:

3*2-4x+1=0 subtract 1 from both sides

3*2-4x=-1 multiply 3 and 2

6-4x=-1 Subtract 6 from both sides

-4x=-7 divide both sides by -4

x=1.75

If this helped, please consider giving me brainliest, it will help a lot :)

Have a good day

Answer:

The true answers:

A

B

C

Step-by-step explanation:

A P E X

Answer:

  105.07°

Step-by-step explanation:

The angle of v1 is ...

  arctan(5/2) ≈ 68.199°

The angle of v2 is ...

  arctan(-3/4) ≈ -38.870°

The angle difference between the two vectors is ...

  68.199° -(-38.870°) = 105.07°

Answer:

[tex]P(X_i=2) =\dfrac{1}{6}[/tex]

[tex]P(X_i=-1) =\dfrac{5}{6}[/tex]

Step-by-step explanation:

Given the numbers on the chips = 1, 1, 3 and 5

Miguel chooses two chips.

Condition of winning: Both the chips are same i.e. 1 and 1 are chosen.

Miguel gets $2 on winning and loses $1 on getting different numbers.

To find:

Probability of winning $2 and losing $1 respectively.

Solution:

Here, we are given 4 numbers 1, 1, 3 and 5 out of which 2 numbers are to be chosen.

This is a simple selection problem.

The total number of ways of selecting r numbers from n is given as:

[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]

Here, n = 4 and r = 2.

So, total number of ways = [tex]_4C_2 = \frac{4!}{2!\times 2!} = 6[/tex]

Total number of favorable cases in winning = choosing two 1's from two 1's i.e. [tex]_2C_2 = \frac{2!}{2! 0! } = 1[/tex]

Now, let us have a look at the formula of probability of an event E:

[tex]P(E) = \dfrac{\text{Number of favorable ways}}{\text{Total number of ways}}[/tex]

So, the probability of winning.

[tex]P(X_i=2) =\dfrac{1}{6}[/tex]

Total number of favorable cases for -1: (6-1) = 5

So, probability of getting -1:

[tex]P(X_i=-1) =\dfrac{5}{6}[/tex]

Please refer to the attached image for answer table.

Answer:

two = 1/6

and -1 =  5/6

Step-by-step explanation:

Answer:

x=6, y=2.5

Step-by-step explanation:

Answer:

B. Multiply both sides of the top equation by 3

Step-by-step explanation:

Given:

4x+2y = 4

12x+y = 22

For the equations to have equal x-coefficients, you'll multiply both sides of (1) by 3

4x+2y = 4 (1)

12x+y = 22 (2)

B. Multiply both sides of the top equation by 3

3(4x+2y=4)

We have,

12x+6y=12 (3)

12x+y=22 (2)

Subtract (2) from (3)

5y=12-22

5y=-10

y= -10/5

y=-2

Substitute y=-2 into (1)

4x+2y = 4

4x+2(-2)=4

4x-4=4

4x=4+4

4x=8

x=8/4

x=2

Therefore, y= -2 and x=2

Answer:

its B

Step-by-step explanation:

A pex:)

Answer:

Option C. 3077.2 mm³

Step-by-step explanation:

Data obtained from the question include the following:

Diameter (d) = 17 mm

Height (h) = 60 mm

Pi (π) = 3.14

Volume =?

Next, we shall determine the radius of the cone. This is illustrated below:

Diameter (d) = 17 mm

Radius (r) =.?

Radius (r) = diameter (d)/2

r = d/2

r = 14/2

r = 7 mm.

The radius therefore, is 7 mm.

To know how much frozen water

is in the icicle, we shall calculate the volume of the icicle using the formula for calculating the volume of a cone. This is illustrated below:

Height (h) = 60 mm

Pi (π) = 3.14

Radius (r) = 7 mm

Volume =..?

V = ⅓πr²h

V = ⅓ × 3.14 × 7² × 60

V = 3.14 × 49 × 20

V = 3077.2 mm³

Therefore, the amount of frozen water in the icicle is 3077.2 mm³

Answer:

C 3,077.2 mm

Step-by-step explanation:

Answer:

The quotient is 2x^2+4x+11

Step-by-step explanation:

Hi,

[tex]y=5x^{2} +12x-2\\y=x(5x+12)-\frac{46}{5} \\y=5(x+\frac{6}{5} )^{2}-\frac{46}{5} \\[/tex]

Have a good day.

Answer:

33m 40cm.

Step-by-step explanation:

One side of the shed measures 8 meters and 35 centimetres, which is 800 + 35 = 835 centimetres.

Since the shed is a square, all side lengths are 835 centimetres long. So, the perimeter is 835 * 4 = 3,340 centimetres. That means that the perimeter is 33 meters and 40 centimetres.

Hope this helps!

Answer:

4 hours

Step-by-step explanation:

Formula for volume of a cylinder is πr² · h

1. Find the volume of the pool

π(3.5²) · 1.9 = 73.1 m³

2. Divide by the amount of water pumped out per hour (17 m³)

73.1 ÷ 17 = 4.3

It would take 5 hours to completely empty the pool but 4.3 rounded to the nearest whole hour is 4 hours.

Answer:

The hours does it take to empty the pool is 4.299

Step-by-step explanation:

In order to calculate how many hours does it take to empty the pool, we would have to make the following calculation:

hours does it take to empty the pool=Volume of cylinder/rate water is pumped out of the pool

rate water is pumped out of the pool=17m∧3

Volume of cylinder=pi*r∧2*l

According to the given data:

r=3.5

l=1.9

Therefore, Volume of cylinder=3.14*3.5∧2*1.9

Volume of cylinder=73.0835 m∧3

hours does it take to empty the pool=73.0835/17

hours does it take to empty the pool=4.299

The hours does it take to empty the pool is 4.299

Answer:

55

Step-by-step explanation:

m^2p - p(m - p), if m=3 and p=5.

So we plug those value into the correct space...

(3)^2 (5) - (5) (3 - 5)

9x5 - 5 x (-2)

45 - (-10)

45 + 10

55

Answer:

2 28ounce cans and 4 15ounce cans

Step-by-step explanation:

28+28=56 and 15+15+15+15=60

56+60=116

Answer:

your answer is the second option

Step-by-step explanation:

Answer:

He will earn 80% during training

Step-by-step explanation:

Lets take $25 as 100%

And take $20 as x

Using equivalent ratios, the equation would look like: $25:100% = $20:x

Next, turn them into fractions: $25 = $20

100% x

Cross multiply to get:

(25)x = $20×100%

The next step:

25x = $20×100%

25 25

25 and 25 will cancel each other out leaving x, and 25 will divide 100% which will give you 4

Leaving it as:

x= 20×4%

x= 80%

Answer:

First one is 41

Second one is 87

Step-by-step explanation:

Make the shaded part as a trapezoid which is (3+6)*10/2 you just have to get rid of 2*2. So you get 41 as the answer.

The unshaded part will be 16*8 then subtracts the shaded part which is 41.  Then you get the answer 87.

Answer:

Her annual salary is approximately $41,667

Step-by-step explanation:

Hello,

This question deals with percentage of a number and it's very easy :)

First of all, get the data and understand what's required of us.

Pam spends $7500 yearly on expenses

But this amount represents 18% of her annual income.

Let her annual income be represented by x

18% = 7500 / x

18÷100 = 7500÷x

cross multiply and solve for x

18 × x = 7500 × 100

18x = 750,000

divide both sides by 18

18x / 18 = 750,000 / 18

x = $41,666.67

x = $41,667

Her annual salary is approximately $41,667