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What is the volume of the container below?

Answer:

Option C.

Step-by-step explanation:

It is given that the surface area of a rectangular prism, is

[tex]SA=2(ab+ac+bc)[/tex]

where a, b, and c represent the lengths of the edges of the prism.  

We need to find the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches.

Substitute a=12, b=6 and c=4 in the above formula.

[tex]SA=2((12)(6)+(12)(4)+(6)(4))[/tex]

[tex]SA=2(72+48+24)[/tex]

[tex]SA=2(144)[/tex]

[tex]SA=288[/tex]

The surface area of this prism is 288 sq.inches.

Therefore, the correct option is C.

Answer:

The answer is C

Step-by-step explanation:

Answer:

60 miles

Step-by-step explanation:

the equation for the cost for traveling from the airport can be represented by y= .50x + 2 + 6

where y is the final cost and x is the amount of miles. plug in 38 to y to get 38 = .50× +2 + 6. Solve for x.

38-6 =.50× +2

32 =.50x +2

32-2=.50x

30=.50x

30/.50=x

60=x

therefore, the 60 miles is how far you can go with $38

Answer:

look down there

Step-by-step explanation:

First ball:

Probability of drawing a white ball is 5/8

Probability of drawing a black ball is 3/8

Second ball:

This depends on the first ball drawn, lets say you drew a white ball initially, 4 white balls are left out of 7 balls in total. The probability of a white ball in the second pick is 4/7.

Total probability of drawing two white balls is 5/8*4/7 (since they are independent events).

If you picked a black ball initially, picking another black ball would have a probability of 2/7, on similar grounds , total prob for 2 blacks would be 3/8*2/7.

The probability that you pick 2 balls of same color is (5/14 + 3/28) = 13/28. (Since they are mutually exclusive events)

The probability of picking a black ball and then another black ball is; Due to conditional probability and is equal to 1/15

Conditonal probability means that the probability of one event is affected or depends on the probability of another event.

Now, total balls in the bag is;

Total balls = 5 + 3 + 2

Total balls = 10 balls

Probability of first picking a black ball is;

P(black ball first) = 3/10

Now, when a black ball is picked, there will ba 9 balls left in the bag of whih only 2 are black. Thus, the probability of picking another black ball is;

P(black ball second) = 2/9

Thus;the probability of picking a black ball and then another black ball is;

P(black ball | black ball) = 3/10 * 2/9

P(black ball | black ball) = 1/15

Read more about Conditional Probability at; https://brainly.com/question/10739997

Answer:

prety sure its 2,3,4,1

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

An example of an equation with the distributive property would be:

3(x+4) = 30

The distributive property tells us:

3(x+4) = 3x+12, since the 3 carries into both x and 4.

Therefore, you have:

3x + 12 = 30

-> 3x = 18

-> x = 6

2(3+4)=? would be an equation that you can perform distributive property on.

To solve it, multiply 2x3 and then multiply 2x4 once you have the answers, add them together. That is how to use distributive property. Thanks!

Answer:

green winged

Step-by-step explanation:

coz 1 kg = 1000g

and 900 is closer to 1000

Answer:

green-winged

Step-by-step explanation:

Answer:

what are the following?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]x = ((-b +/- (b^2 - 4ac)) / 2a[/tex]

The degree in the equation is 2.

The quadratic formula can be used to solve an equation only if the highest degree in the equation is 2.

Answer:

A. 2

Step-by-step explanation:

The quadratic formula is:

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

An equation of the form   [tex]ax^2+bx+c=0[/tex]  is only quadratic when [tex]a \neq 0[/tex], therefore it is linear.

Also, by definition, a quadratic equation is an equation where the highest exponent is a square.

Answer: $3,239

Step-by-step explanation:

(100 shares) times ($32.39 per share) = $3239

:)

Answer:

$3239

Step-by-step explanation:

No of shares = 100

Market price per share = $32.39

Total expenditure

= No of shares * Market price per share

= 100 * $32.39

= $3239

Answer:

49,12 ft²

Step-by-step explanation:

r = d/2 = 8ft/2 = 4 ft

A = At + Ac/2

= b×h/2 + π·r²/2

= 6ft×8ft/2 + 3,14·(4ft)²/2

= 3ft×8ft + 3,14×16ft²/2

= 24ft² + 25,12ft²

= 49,12 ft²

Answer: G(x)= 1/x-4

Step-by-step explanation:

The required function is G(x)=1/(x-4)

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

The given parent function is

f(x)=1/x

By taking f(x), and applying a left or right and/or up or down transformations to it,

The function could be written using the equation f(x-h)+k.

Doing so will make the graph of the function move h units to the left or right. (Positive or negative) (make sure the operation before the h is subtraction when determining the sign of h)

Also, when finding k (up and down) (positive or negative) apply this function.

Then the new function we get

G(x)=(x-h)+k

As a result, plug in your right 4 units as h, and since you are not needing to move up or down k would be 0.

So, G(x)=1/(x-(4))+0

or simplified,

G(x)=1/(x-4)

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Answer:

Tamara needs to cover a total of 552 square feet of wall, which is 72 square feet more than the area of the wallpaper she requested for. So, Tamara does not have enough wallpaper to cover the four walls.

Step-by-step explanation:

Given that: width = 8 1/3 feet, length = 11 1/2 feet , height = 12 feet.

The area of a wall to be covered is determined by the product of its length and height, where the width is the thickness of the wall.

Area of the wall = length × height

                          = 11 1/2 × 12

                         = [tex]\frac{23}{2}[/tex] ×[tex]\frac{12}{1}[/tex]

                         = [tex]\frac{276}{2}[/tex]

                         = 138

Area of each wall is 138 square feet.

Total area of the four walls = 138 × 4

                                             = 552

The total area of walls to be covered is 552 square feet.

Therefore:

Tamara needs to cover a total of 552 square feet of wall, which is 72 square feet more than the area of the wallpaper she requested for. So, Tamara does not have enough wallpaper to cover the four walls.

Answer: 80 minutes

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each tank:

An empty 1200 gallon tank is filled with water at a rate of 6 gallons of water per minute.  

So, the amount of water of the tank is equal to the filling rate, 6 liters per minute (6m)

The second 1200 gallon tank full of water is being drained at a rate of 9 gallons per minute.

So, the amount of water in the tank is equal to the amount of water already in the tank (1200 g), minus the draining rate (9m)

Since both tanks will have the same amount of water:

6m = 1200-9m

Solving for m  (minutes):

6m+9m= 1200

15m = 1200

m= 1200/15

m= 80 minutes

Feel free to ask for more if needed or if you did not understand something.

Step-by-step explanation:

tan Q = opposite / adjacent

tan Q= RO/ OE

tan Q = 8/ 15

Answer:

I think it is d

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\frac{x+8}{4}-\frac{x+5}{4}=\frac{x+8-(x+5)}{4}\\\\=\frac{x+8-x-5}{4}\\\\=\frac{3}{4}[/tex]

Answer:

The length of the missing side is 21.9 m.

Step-by-step explanation:

The Pythagorean Theorem states that a² + b² = c². (a = small side, b = long side, c = hypotenuse). Substituting the values from this triangle into the Pytagorean Theorem equation, we get:

9² + 20² = c²

81 + 400 = c²

481 = c²

√481 = c

21.9 = c

Answer:

2625 inches ^3

Step-by-step explanation:

20(10.5) =210

210 ( 12.5) = 2625

Answer:

(0,-22)

Step-by-step explanation:

its correct, trust me

Answer:

15y +x = 57(55)

Step-by-step explanation:

Multiplication is the process of multiplying. The product of 1.65 and 1.05×10⁻² is 0.017325.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The product of 1.65 and 1.05 × 10⁻² can be solved as,

= 1.65 × 1.05 × 10⁻²

= 1.65 × 1.05 × 0.01

= 0.017325

Hence, the product of 1.65 and 1.05×10⁻² is 0.017325.

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Answer:

-20

Step-by-step explanation:

-2+(-18)

-2-18

-20

Answer:

-20

Step-by-step explanation:

Have a good day and stay safe!

Answer:

Bobby saves 4$.

The new price is 16$.

Step-by-step explanation:

I hope you get it right

Answer:

D = √(6 - 9)^2 + (3 + 2)^2]

Step-by-step explanation:

This is an application of the Pythagoras theorem:

D = √ [(x2 - x1)^2 + (y2 - y1)^2] where the 2 points are (x1, y1) and

(x2, y2).

So in this case we have

D = √[(6 - 9)^2 + (3 - -2)^2]

D = √(6 - 9)^2 + (3 + 2)^2]

Answer:

Relation between V and c is represented as:

[tex]V = \pi c^{3}[/tex]

When c is halved, V becomes [tex]\frac{1}{8}[/tex] of its initial value.

Step-by-step explanation:

Height of cylinder = Radius of cylinder = c

Volume of cylinder = V

As per formula:

[tex]V = \pi r^{2} h[/tex]

Where [tex]r[/tex] is the radius of cylinder and

[tex]h[/tex] is the height of cylinder

Putting [tex]r = h =c[/tex]

[tex]V = \pi c^{2} \times c\\\Rightarrow V = \pi c^{3} ......(1)[/tex]

The values of c is halved:

Using equation (1), New volume:

[tex]V' = \pi (\dfrac{c}{2})^3\\\Rightarrow \dfrac{1}{8} \pi c^{3}[/tex]

By equation (1), putting [tex]\pi \times c^{3} = V[/tex]

[tex]V' = \dfrac{1}{8} \times V[/tex]

So, when c is halved, V becomes [tex]\frac{1}{8}[/tex] of its initial value.

Answer:

Step-by-step explanation:

i dont give the direct answer as it will not help you learn anyything... but i will will give u an exampleso that u understand the concept..

arc length=  2piR theta/360degree

substitute ur values  and then simplify to get the desired answer

hope this helps you

Answer:

arc length=  2piR theta/360degree

substitute your values and then simplify to get the desired answer

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

every angle is under 90 degrees

Answer:

The triangle is acute.

Step-by-step explanation:

-According the to following triangle, the angles are acute, because acute angles less wider and they measure less than 90°.

-The reason why the triangle is not a right or obtuse, is because right angles are angles that measure exactly 90°, and obtuse angles are angles that are much wider and they measure greater than 90°.

Answer:

D) <1 and <2, <1 and <8, <2 and <3, <3 and <8

Step-by-step explanation:

Supplementary angles are angles that add to 180 degrees. So, D is correct.