Find the surface area of the rectangular prism below.

Answer:

Step-by-step explanation:

4

Answer:

It's 4 for you and 5 points for me

Step-by-step explanation:

Answer:

2.4 gallons

Step-by-step explanation:

to answer this question :

we have to determine the width of the rectangle.

determine the area

determine the gallons needed

Pythagoras theorem would be used to determine the width of the wall

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

60² + b² = 68²

3600 + b² = 4624

b = ²4624 - 3600 = 1024

√b = 32

Area of a rectangle = length x width

32 x 60 = 1920

Gallons needed = 1920 / 800 = 2.4 gallons

Answer:

4.8

Step-by-step explanation:

Since the scale is 2 feet and the real is 70 to find the cale factor you do 70/2. Since the answer to that is 35 the scale factor is 35. SO to find tha drawing scale factor in feet you do 168/35 to get 4.8,

Answer:

Answer should be 6, I think

Answer:

8

Step-by-step explanation:

You just need to multiply 20 by 2/5

Or, multiply 20 by 2, then divide by 5.

20 x 2/5

40/5

8

2/5 of 20 = 40/5 or simply, 8.

Have a great day!

Answer:

hiiio......

Step-by-step explanation:

b)8 boxes...

Answer:

It would have 6 faces

Step-by-step explanation:

In any convex polyhedron:

let v be the number  vertices , e is the number of edges and f is the number of faces then;

             ....[1]

As per the statement:

If a figure has eight vertices and 12 edges

⇒v = 8 and e = 12

Substitute in [1] to solve for f, we have;

⇒

Subtract 6 from both sides we have;

f = 6

Answer:

4

Step-by-step explanation:

6 * 4 = 24

24 * 4 = 96

Answer:

x = 3

Step-by-step explanation:

3*3*3 = 9*3 = 27

Step-by-step explanation:      

Let's solve your equation step-by-step.

[tex]x^3 =27[/tex]

Step 1: Take cube root.

[tex]x = (27)^(1/3)[/tex]

[tex]x=3[/tex]

Explanation in words (Short Form)

- Move the variable to the left and the other values to the right to determine the value of x. To ascertain the outcome, simplify the values.

- In this equation (x^3=27), we can solve this equation by taking the cube root and then ascertaining the outcome.  The answer will result as x = 3 at the end for the following equation: x^3=27 to finding the value for x.

Answer:  

[tex]x=3[/tex]

Hope this helps.

Answer:

18

Step-by-step explanation:

The sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.

According to the question

The sum 3+3+3+3+3+3  

Represent the sum as sigma notation

[tex]\sum_{i=1}^{6}3[/tex]   start at 1 and goes up to 6  

=  3+3+3+3+3+3  

Hence,  the sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex]   .

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Answer:

Step-by-step explanation:

The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.

Null hypothesis: Vitamin C has no effect on preventing colds.

Alternative hypothesis: Vitamin C has a strong effect on preventing colds.

Assuming, significance level = 0.05

Since the p-value for the difference is 0.03 which is less than 0.05.

Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).

As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.

Answer:

They are both 63 Inches/ Lengths apart.

Step-by-step explanation:

You see when it comes to cm2 inches and lengths You must always Analyze your work and figure out if you can seperate the two among themselves equally. 81 Goes into 144. 63 plus equation.

Answer:

She needs:

600 g chicken

600 g peppers

120 g onion

15 g spice mix

6 tortillas

Step-by-step explanation:

hope this helps and is right. p.s. i really need brainliest :)

Answer:

1.75 liters

Step-by-step explanation:

Multiply 50ml per set by 35 sets to get 1750ml. If 1000 ml is 1 liter, then 1750 ml is 1.75 liters. :)

Answer:

1. right

2. acute

3. obtuse

4. obtuse

5. acute

6. acute

7. scalene

8. scalene

9. isosceles

10. equilateral

11. scalene

12. isosceles

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Each side of the triangle = x cm

Each side of the square = (x - 1.5) cm

Given that the perimeter of both shapes are equal, thus, set the perimeter of the triangle equal to the perimeter of the square to solve for x.

Perimeter of triangle = 3(x) = 3x cm

Perimeter of square = 4(x - 1.5) = 4x - 6

Therefore:

Perimeter of triangle = perimeter of square

Substitute

3x = 4x - 6

Subtract 4x from each side

3x - 4x = -6

-x = -6

Divide both sides by -1

x = -6/-1

x = 6

"Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line."

YXZ and TUS

Answer:

2x-y=6

Step-by-step explanation:

y-10=2(x-8)

y-10=2x-16

-10+16=2x-y

6=2x-y or  

standard form 2x-y=6

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Answer:

13

Step-by-step explanation:

Answer:

10 hours (I am not positive)

Step-by-step explanation:

We first want to find the volume of pool which is 30 x 18 x 4 = 2160.

Then you are going to divide by 216 to find how many hours it takes to drain the whole pool. (I'm not that big of an expert)

Answer:A truncated cone and a sphere

Step-by-step explanation:

I just did it.

The combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.

Sophie needs to determine the amount of water that will fit into her new vase, as shown below.

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

We have to determine the combination of geometric shapes can she use to best estimate the vase's volume.

Therefore the combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.

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Step-by-step explanation:

Add the corresponding sides of the two equations

1.

2x=6

x=3

substitute for x

3+y=-1

y=-4

4.

5x=10

x=2

substitute for x

2(2)+2y=-2

2y=-6

y=-3

5.

12y=24

y=2

substitute for y

6x+5(2)=4

6x+10=4

x=-6

x=-1

Answer:

Q3. x = 3, y = -4

Q4. x = 2, y = -3

Q5. x = -1, y = 2

Step-by-step explanation:

Since the question is asking us to solve the system using elimination/adding, that's what I'll do.

To solve by adding, we add the like terms of both equations together.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1st question:

x + y = -1

x - y = 7

We add the first term together.

x + x = 2x

Then the second term.

y + -y = y - y = 0

Then the last term.

-1 + 7 = 6

Which becomes:

2x = 6

Then we solve the linear equation.

2x = 6

÷ 2  ÷ 2

x = 3

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

x + y = -1

Substitute x = 3

3 + y = -1

-3         -3

y = -4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2nd question:

2x + 2y = -2

3x - 2y = 12

We add the first term together.

2x + 3x = 5x

Then the second term.

2y + - 2y = 2y - 2y = 0

Then the last term.

-2 + 12 = 10

Which becomes:

5x = 10

Then we solve the linear equation.

5x = 10

÷5   ÷5

x = 2

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

2x + 2y = -2

Substitute x = 2

4 + 2y = -2

-4           -4

2y = -6

÷2   ÷2

y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3rd question:

6x + 5y = 4

-6x + 7y = 20

We add the first term together.

6x + -6x = 6x - 6x = 0

Then the second term.

5y + 7y = 12y

Then the last term.

4 + 20 = 24

Which becomes:

12y = 24

Then we solve the linear equation.

12y = 24

÷12   ÷12

y = 2

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

6x + 5y = 4

Substitute y = 2

6x + 10 = 4

-10          -10

6x = -6

÷6   ÷6

x = -1

The volume of the cylinder in question is 427.26 inches.

The volume of the cylinder is 427.04 inches 2.

soup pot is 8.5 inches tall

radius of 4 inches.

Volume, is defined as the ratio of the mass of object to its density.

Volume of cylinder = 3.14r^2h
Volume of cylinder = 3.14 x 4 x 4 x 8.5
Volume = 427.04 inches 2

Thus, the required volume is 427.04 inches 2

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Answer:

l = 4a and b = 3a

Step-by-step explanation:

Given that,

The area of the rectangle, A = 12a²

Perimeter, P = 14a

The area and perimeter of a rectangle are given by :

A = lb

12a² = lb ....(1)

P = 2(l+b)

14a = 2(l+b) ....(2)

We need to solve equations (1) and (2). After solving we find that.

l = 4a and b = 3a

Hence, the dimensions of this rectangle are 4a and 3a.

Answer:

The bowl can hold 2.094 L.

Step-by-step explanation:

We want to find the volume of the hemisphere to calculate how many liters the bowl can hold. To find the volume of a hemisphere, we use this equation:

V = (2/3)•(π)•(r)³

Let's plug in what we know.

V = (2/3)(π)(10)³

Evaluate the exponent.

V = (2/3)(π)(1000)

Multiply.

V = 666.667π

V = 2094.395 cm³

Remember that 1000 cm = 1 liter, and we want to know how many liters the bowl can hold.

= 2094.395/1000

= 2.094 L

The bowl can hold 2.094 L.

Hope this helps!

Answer:

3/36 -> 1/12 or 2/36 -> 1/18

Step-by-step explanation:

1+3, 2+2, 3+1 or 1+3, 2+2, no tree diagram needed

Answer:

its the first one. Times the bigger numbers and add the indices. so it 16^7

Answer: A 16(7)

Step-by-step explanation:

First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.