Here are two rectangular prisms: K, L. K= 6, 4, 5. L=5,5,5 1. Which figure do you think has the longer diagonal. 2. Calculate the lengths of both diagonals. Which one is actually longer?

Answer:

Number one is 1624cm²

Number two is 32in²

For these problem you area calculating the surface area of the given objects. To calculate surface area you find the area of each side of the object and adding them together. length multiplied by width is the equation for area.

Answer:

domain is all real numbers except -6

Step-by-step explanation:

Answer:

domain is all real numbers except -6

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

(-9, -12)

Step-by-step explanation:

Given the expressions

y=x+3

y=1/3x-5

Equating both expressions;

y = y

x + 3 = 1/3x - 5

x - 1/3x = -5 -3

2/3 x = -8

x/3 = -4

x = -12

Since

y = x+ 3

y = -12 + 3

x = -9

Hence the required solution is (-9, -12)

Sample Answer:

Both prisms are equal in volume, with it being 30 in^3. Although the triangle prism has a length of twice as much, this is countered by the formula for a triangular prism which requires for it to be divided by 2, where this is not present within the formula for a rectangular prism.

Step-by-step explanation:

For this, just pretend that h=1 to make the math easier. So the rectangular prism has a cross section that is 6 by 5 inches, so that will be its L & W.

The triangular prism has a cross section that is a 12 inch base times a 5 inch interior height, this will give the triangle's length and height respectively In this case, h will be its width, making the Base of the triangle which is Length * Width. Think of it like flipping over this prism, making the side facing you and make it the bottom of the prism.

Now, with the formulas for volume of the prisms:

Rectangular: L * W * H

Triangle: (L*W * H) / 2

Then just plug in the numbers:

Rectangular Prism:

L * H * H

6 * 5 * 1

30 * 1

30

Triangle Prism:

(12 * 5 * 1) / 2

60 / 2

30

They are equal to each other.

Answer:

13.7113092008

Step-by-step explanation:

hope this helps

Answer:

As a decimal form it is 13.71130920... If you are looking for another form just tell me I am happy to help

Step-by-step explanation:

Answer:

12 years

Step-by-step explanation:

The formula to solve the above question i.e to find the time is given as:

Equation:

t = (1/r)(A/P - 1)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2.25%/100 = 0.0225 per year,

then, solving our equation

t = (1/0.0225)((12700/10000) - 1) = 12

t = 12 years

Therefore, if she does not add or withdraw from the account, the time it

will take to have a balance of 12,700 in her account is 12 years

Answer:

5/16 pounds

Step-by-step explanation:

The problem mentions that Audrey needs to cut a 5-pound block into 16 pieces. This means that each of the 16 pieces of cheese must weigh the same, thus we have to divide 5 pounds by 16 to divide the weight equally. Thus, all you need to do is divide 5 by 16, giving you 5/16. Therefore, your answer is that each block of cheese weighs 5/16 pounds.

Answer:

0.3125 pounds

Step-by-step explanation:

Each wedge of cheese weights 0.1325 pounds

Answer:

2.423

Step-by-step explanation:

Surface that is not water: 5.1 - 3.61 = 1.49

How many times water is bigger than not water: 3.61/1.49 = 2.423

Answer: 21 miles

Step-by-step explanation:

7x3 = 21 miles

Answer:

16+3 = 19+ 6 =25

Step-by-step explanation:

Add all the numbers

Answer is= 25

Answer:

m∠C = 72°

BA = 8.6

AC = 2.8

Step-by-step explanation:

We can start by finding the sum of all angles in a triangle to find angle C. The sum of all angles is 180°, so we can write the equation:

m∠A + m∠B + m∠C = 180°

And substitute what we have:

90° + 18° + m∠C = 180°

108° + m∠C = 180°

m∠C = 72°

In order to find the side BA, we can use trig functions. We are given the hypotenuse and we are looking for the side adjacent to ∠B. The trig function that relates the two is cosine. We can set up the equation as follows:

cos(∠B) = [tex]\frac{BA}{BC}[/tex]

cos(18°) = [tex]\frac{BA}{9}[/tex]

9 * cos(18°) = BA

BA ≈ 8.559508647

And when we round, we get:

BA = 8.6

In order to find the side AC, we can use trig functions. We are given the hypotenuse and we are looking for the side opposite to ∠B. The trig function that relates the two is sine. We can set up the equation as follows:

sin(∠B) = [tex]\frac{AC}{BC}[/tex]

sin(18°) = [tex]\frac{AC}{9}[/tex]

9 * sin(18°) = AC

AC ≈ 2.781152949

We can round this to:

AC = 2.8

Answer:

the factor is 2 because 7x2 is 14 and 3x2 is 6

Answer:

16

Step-by-step explanation:

8/ 2*(2+2) = 4*(2+2) = 4*4 = 16

Answer:

15x+3.5=N

Step-by-step explanation:

hope this helps :)

Answer:

15.00n+3.50

Step-by-step explanation:

I think it is that scence I am not sure what the todal is but if that is wrong just flip flop it scence $15 will always be with the vareable in this case scence it isthe only number that can change but multiplying with 2+.

Answer:

B & E

Step-by-step explanation:

Edge trust me

Answer:

8. 24

9. 10

2. 72

1. 113

5. 7.96 = 8

11. 30.19 = 30.2

6. 28.27 = 28

That's all I can answer right now, maybe study a bit more and your grades will get better! Good luck!

Answer:

2/51

Step-by-step explanation:

# of brown socks = 4

# of blue socks = 14

total # of socks = 18

The probability of pulling 1 brown sock = 4/18

If he were to pull one brown sock there would be 1 less sock in the total # of socks and 1 less in the # of brown socks

So after the first pull ( if it were to be a brown sock )

there would only be 3 brown socks and 17 total socks

So the probability of pulling a brown sock then would be 3/17

Finally we multiply the two probabilities to get the answer

4/18 * 3/17 = 2/51

Hence, the answer is 2/51

Answer:

2 ft

Step-by-step explanation:

Perimeter = 4 * sides

8 ft = 4 * s

side = 2 ft

Answer:

2 ft

Step-by-step explanation:

8/4 = 2

Answer:

3,138

Step-by-step explanation:

hope this helps!

Answer:

32km

Step-by-step explanation:

speed=96km/h

time=20mins=1/3hour

➜96×1/3

➜96/3

➜32km

Answer:

13,500

Step-by-step explanation:

x + y = 750

750 x 18 = 13.500

The value of the number of tables will be 6 and the number of chairs will be 12.

When trying to set up or construct a linear equation to fit a real-world application, identify the known quantities and use the unknown quantity as a variable.

In other words, an equation is a set of variables that are constrained through a situation or case.

From the question constraint of a maximum of 18 pieces of furniture

x + y =18

From the question constraint of at least $5400 worth of chairs and tables

600x + 150y ≥ 5400

By equation first, y = 18 - x put this into second

600x + 150(18 - x) ≥ 5400

450x ≥ 2700

x ≥ 6 hence there is need to sell at least 6 tables.

Put x =6 into x + y =18 then

y = 12 hence at least 12 chairs need to be sold.

For more about the equation

brainly.com/question/2263981

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Answer:

[tex]A= P(1+\frac{r}{n})^{nt}[/tex]

P = 3750

r = 6.35% = 0.0635

n = 365

t = 9

[tex]A= 3750(1+\frac{0.0635}{365} )^{365*9}\\\\[/tex]

    [tex]= 3750(1+\frac{0.0635}{365})^{3285} = 6640.63[/tex]

Answer  = $6641

Answer:

okay so, x would be 12

Step-by-step explanation:

( if you ever see p5 (or any other variable) then that’s means you gotta multiply, so maybe imagine it like px5, p5 would just be a easier way.)

1. x times 1 divided by 4 is 3, a simpler way to put it!

x would be 12 since 12x1 is 12

2. We divide 12 by 4 which gives us a total of 3

hope this helped!