A rectangular prism has a height of 15 centimeters and a width of 6 centimeters. The surface area of the prism is 684 square centimeters. What is the length of the prism?

A. 24 cm

B. 12 cm

C. 9 cm

D. 6 cm

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the length be L

Formula

SA = 2Lw + 2Lh + 2wh

Givens

h = 15 cm

w = 6 cm

L = ?

SA = 684 cm^2

Solution

Substitue what you know into the given formula

2*6*L + 2*15*L + 2 * 6 * 15 = 684         Combine

12*L + 30*L + 180 = 684                         Combine again

42L + 180 = 684                                     Subtract 180 from both sides.

42L +180 -180 = 684 - 180            

42L = 504                                               Divide by 42

Answer: L = 12


Related Questions

order the following number least to greatest /9, 0.9 , -8/9, /3, -1.8

Answers

0.9, /3, /9, -8/9, -1.8

Sofia used colorful glass beads to make a
bracelet. She repeated the same pattern
of colored beads six times. If the length of
one pattern measures three fourths of an
inch in length, what is the total length of
the bracelet Sofia made?

Answers

Answer:

11.424cm

Step-by-step explanation:

3/4 of an inch = length of one pattern.

3/4 = 0.75 ( 1.905cm)

1.905 x 6 = 11.424cm

The total length of the bracelet Sofia made is 11.424 centimetres.

Note: I am not sure if this is completely right and meant to be in cm but I tried to help :)

nicole sells breaded necklaces .each large necklace sells for $5.30 and each necklace sells for $3.80 . how much will she earn from selling 4 large necklaces and 6 small necklaces

Answers

Answer:

$41.60

Step-by-step explanation:

5.30 *4= 21.20

6*3.80=20.40

20.40+21.20=41.60

To find the area of a circle, take π x 2 x radius.
true or false

Answers

Answer:

That statement is true, but you do not always need the two.

Let's say that we had a problem, given the radius is 5, and we have to find the diameter.

First step is to define A

[tex]A = \pi r^2[/tex]

Second, redefine r as the actual radius to avoid confusion.

[tex]r = 5[/tex]

Third, set up an equation with the given values where you are multiplying pi by the radius.

[tex]\pi r^2 = \pi *r^2[/tex]

Fourth but not least, get the actual value.

[tex]\pi * r^2 = 79[/tex] rounded to nearest whole number

Stephen borrows $10,000 from his uncle at a simple interest rate of 2%. He repays the loan in full after 3 years. How much money did Stephen pay his uncle back in total?

Answers

The total amount of money that Stephen would pay his uncle is equal to $10,600.

How to calculate simple interest.

Mathematically, simple interest is calculated by using this formula:

I = PRT

Where:

I is the simple interest.P is the principal.R is the interest rate.T is the time measured in years.

Given the following data:

Interest rate = 2% = 0.02.

Principal = $10,000.

Time = 3 years.

Substituting the given parameters into the formula, we have;

I = 10000 × 0.02 × 3

I = $600.

Amount of balance;

A = I + P

A = 600 + 10,000

A = $10,600.

Read more on simple interest here: brainly.com/question/24341207

at which point do the two equations 3x+5=y+4x and y=x2 intersect? problem is the picture below, the choices are there.

Answers

Answer:

A. and D.

Step-by-step explanation:

Hey there!

In order to to find the point at which these two equations intersect at, you need to first rewrite the equations if needed so that they are in the form:

[tex]y=mx+b[/tex]

or

[tex]y=ax^2+bx+c[/tex]

The first equations needs to be rewritten

[tex]3x+5=y+4x[/tex]

make [tex]y[/tex] by itself

[tex]3x+5-4x=y[/tex]

Simplify LHS

[tex]y=-x+5[/tex]

Now we have it in slope-intercept form

Looking at the equation, we can tell that the slope of the line is [tex]-1[/tex] and the y-intercept is 5

Now you can graph this equation easily (image down below)

The second equation is already in form so there is no need to rewrite anything

We can go straight to graphing (image down below)

Now plot both equations on the same graph (image down below)

What is 135% of 62?


A: 8. 37

B: 83. 7

C:837

D:8370

Answers

83.7 goodlucks! hope it os right

Todd is 33 years old; his nephew Jacob is 12. In how many years will Jacob be ½ his uncle Todd's age?

Answers

Answer:

  9 years

Step-by-step explanation:

Jacob will be half his uncle's age when his age is equal to the difference in their ages.

__

The difference is 33 -12 = 21 years. Jacob will be half Todd's age in 21 -12 = 9 years, when Jacob is 21 and Todd is 42.

Need help

1000x+27x+5.5=9236



Answers

Answer:

x = 8.98782862707

Step-by-step explanation:

Base on the given we can infer that we are solving for x:

Given equation:

1000x+27x+5.5=9236

Combine similar terms

1027x + 5.5 = 9236

Subtract both side by 5.5

1027x + 5.5 = 9236

             -5.5      -5.5

-------------------------------------

1027x = 9230.5

Now divide both sides by 1027x

9230.5 / 1027

x = 8.98782862707

[RevyBreeze]

For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?
law of sines
law of cosines
neither law can be used
both laws can be used

Answers

Neither the laws of sines nor the law of cosines can be used to solve the triangle. The correct option is the third option - neither law can be used

Solving trianngles using the laws of sines & cosines

The law of sines is written as

[tex]\frac{sinA}{a}=\frac{sinB}{b}= \frac{sinC}{c}[/tex]

Where a,b, and c are sides of any given triangle and A,B, and C are the angles.

This law is used when we are given either

Two angles and one side, orTwo sides and a non-included angle

The law of cosines is written as

a² = b² + c² -2bc cosA, or

b² = a² + c² - 2ac cosB, or

c² = a² + b² -2ab cosC

Where a,b, and c are sides of any given triangle and A,B, and C are the angles.

This law is used when we are given either

Three sides orTwo sides and the included angle

Now, for triangle xyz, which the measures of angles X,Y, and Z are known, neither law can be used to solve the triangle.

Hence, neither the laws of sines nor the law of cosines can be used to solve the triangle. The correct option is the third option - neither law can be used

Learn more on Solving triangles using the laws of sines & cosines here: https://brainly.com/question/22339733

Plant cells and animal cells were observed under a microscope. The characteristics of two cells are listed below.

Cell A: Has a cell wall
Cell B: Has chloroplast

Which statement about the two cells is correct?

Both cells are plant cells.
Both cells are animal cells.
Cell A is a plant cell and Cell B is an animal cell.
Cell A is an animal cell and Cell B is a plant cell.

Answers

Answer:

The answer is Cell A is a plant cell and Cell B is a plant cell because plant cells have cell walls and they also a chloroplast

Step-by-step explanation:

I really hope this helps

Answer: the first one

Step-by-step explanation: "Both cells are plant cells."

Dan and Paul went shopping at a department store

Dan spent $4 more than Paul spent

Dan spent $24 at the store

Which equation could be used to calculate p, the amount Paul spent?


A. P-4=24

B. 4p=24

C. 4+24=p

D. 4+p=24

Answers

Answer:

D  4+p=24

Step-by-step explanation:

So P stands for Paul & how much he spent.

Dan spent $24 at the store & he spent $4 more than Paul, so Paul only spent $20.  So P = $20

So which equation would work if you substituted $20 for P?

4 + P = 24

4 + 20 = 24

Complete the following statement.

The money used in Jordan is called the dinar. The exchange rate is US $3 to 2 Jordanian dinars. To receive 22 dinars, you need to exchange
U.S. dollars.

Answers

I think 33 since you would multiple 11 in both sides which would give you $33 and 22 dinars

Answer:

$33

Step-by-step explanation:

$3 = 2 Dinars

$x = 22 Dinars

3/2 = x/22

multiply 3 by 22 and divide by 2

multiply 2 by x and divide 2

which will give answer to $33.

Don't know if it makes sense

If ur good with fractions percentages and decimals this one is for you !!!!

Check pic

Thanks :] xx

Answers

Answer:

1 20%, 0.2

2 1/4, 0.25

3 50%, 0.5

4 6/9

Step-by-step explanation:

6 blue chips 13 pink chips 7 white chips Vicky takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Vicky takes out a blue chip in both draws? PLEASE HELLPP

Answers

Answer:

9/169

Step-by-step explanation:

Total number of chips

6 + 13 + 7 = 26

Probability of a blue chip

P(blue) = blue / total = 6 / 26 = 3/13

The subsequent blue has same probability as the chip is replaced.

Probability of two blue chips is

P(blue, blue) = 3/13*3/13 = 9/169

Answer:

[tex]\sf \dfrac{9}{169}[/tex]

Step-by-step explanation:

The bag has:

6 blue chips13 pink chips7 white chips

⇒ Total number of chips = 6 + 13 + 7 = 26

Probability Formula

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Probability of choosing a blue chip from the first draw:

[tex]\implies \sf P(Blue)=\dfrac{6}{26}[/tex]

As the chips are replaced, the probability of choosing a blue chip from the second draw is the same as the first.

Therefore, the probability of taking out a blue chip in both draws is:

[tex]\begin{aligned}\implies \sf P(Blue)\:and\:P(Blue) & = \sf \dfrac{6}{26} \times \dfrac{6}{26}\\\\& = \sf \dfrac{6 \times 6}{\26 \times 26}\\\\& = \sf \dfrac{36}{676}\\\\& = \sf \dfrac{36 \div 4}{676 \div 4}\\\\& = \sf \dfrac{9}{169}\end{aligned}[/tex]

Drawing a ball from a bag without looking is an example of simple random sampling. Which of these actions could affect the FAIRNESS of the outcome of this simple random sample? A. Use a box instead of a bag. B. Use balls that aren’t all the same color. C. Use balls that are all of the same shape. D. Use balls that aren’t all the same size.

Answers

Statement (D) uses balls that aren’t all the same size will affect the fairness of the outcome of this simple random sample if drawing a ball from a bag without looking is an example of simple random sampling.

What are population and sample?

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

We have:

Drawing a ball from a bag without looking is an example of simple random sampling.

As we know the degree to which we believe the distributions of outcomes are fair is referred to as outcome fairness.

These outcomes can include things like pay, perks, promotions, and other physical things, but they can also include things like praise and other forms of social recognition.

Thus, statement (D) uses balls that aren’t all the same size will affect the fairness of the outcome of this simple random sample if drawing a ball from a bag without looking is an example of simple random sampling.

Learn more about the population and sample here:

brainly.com/question/9295991

#SPJ1

Answer:

D

Step-by-step explanation:

I took the quiz on EDGE 2022

Which equation represents the graph below?

Answers

Answer:

y = cos(2x)

Step-by-step explanation:

This is equation must be a cosine function because it starts at a nonzero number. We can conclude that the final answer is D because the amplitude is 1 not 2. Also, the period (2π/k) is equal to 2π/π = 2.

See the image below for the different parts of a cosine/sine function.

I hope this helps!

HELP PLEASE ILL GIVE THE BRANLIEST THING IF U DO, PLEASEE

Answers

Answer:

The y-intercept is 5, and the slope is -3/2, y=5

Step-by-step explanation:

A survey participant is randomly selected. Let S be the event that the participant prefers soccer and let T be the event that the participant prefers a T-shirt. What is the value of P(S and T)

Answers

Answer:

C. 0.26

Step-by-step explanation:

Someone please help me

Answers

Answer:

It's A.

Step-by-step explanation:

Because whatever goes into the absolute value symbol, it'll turn out positive. And real numbers could only be positive.

Please answer number 11 thank you

Answers

I think it’s comic a because if you divide the initial price by the current price you’d get a percentage of .83% and if you divide comic b’s prices you’d get .81% which comes to a conclusion of comic a having a greater increase in value

True or False: You can use the Pythagorean Theorem to determine if a triangle is a right triangle or not.

Answers

Answer:

True

Step-by-step explanation:

Definitely true.  If the shorter legs of the given triangle are a and b and the longest side is c, then if a^2 + b^2 = c^2, the triangle is a right triangle.  Otherwise it is not a right triangle.

What is The D angle?

Answers

The “D” Angel is 64 and the “C” is 116

The foot of an extension ladder is 15 feet from the wall. The ladder is 7 feet less than three times longer than the height that it reaches on the wall. What is the length of the ladder

Answers

Answer:

38

Step-by-step explanation:

15 x 3(or 15+15+15)=45

45-7=38

Please help me!!
There were 36 campers at Yosemite Creek. They
had 10 large pepperoni pizzas to share equally.
How much pizza can each camper have?

Answers

The answer is 3.6 I’m guessing

In ΔPQR, ∠P and ∠Q are complementary angles.

.

Answers

Answer:

P + Q = 90

P = 90 - Q

Cos (p) = cos (90-Q) = sinQ = 4/5 (given)

You can find CosQ from the triangle of Q

CosQ = sqrt (5^2 - 4^2) / 5 = 3/5

Required = CosP + CosQ = 4/5 + 3/5 = 7/5

Step-by-step explanation:

hope this helps if not please let me now

Answer:

P + Q = 90

P = 90 - Q

Cos (p) = cos (90-Q) = sinQ = 4/5 (given)

You can find CosQ from the triangle of Q

CosQ = sqrt (5^2 - 4^2) / 5 = 3/5

Required = CosP + CosQ = 4/5 + 3/5 = 7/5

Step-by-step explanation:

How do you write 19/20 as a decimal

Answers

Answer:

0.95

Step-by-step explanation:

Starbucks Coffee Co. Uses a data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that Starbucks needed to improve its package-sealing process, an experiment was conducted to determine the factors in the bag-sealing equipment that might be affecting the ease of opening the bag without tearing the inner liner of the bag. (Data extracted from L. Johnson and S. Burrows, "For Starbucks, Itâs in the Bag," Quality Progress, March 2011, pp. 17â23. ) One factor that could affect the rating of the ability of the bag to resist tears was the plate gap on the bag-sealing equipment. Data were collected on 19 bags in which the plate gap was varied. The results are stored in Starbucks.

a. Construct a scatter plot.

b. Assuming a linear relationship, use the least-squares method to determine the regression coefficients b0 and b1.

c. Interpret the meaning of the slope, b1, in this problem.

d. Predict the mean tear rating when the plate gap is equal to 0.

e. What should you tell management of Starbucks about the relationship between the plate gap and the tear rating?

Answers

When there's a linear relationship, the least-squares method to determine the regression coefficients b0 and b1 will be y = 0.750 + 0.50x.

How to interpret the slope?

The meaning of the slope, b1, in this problem is the coefficient of x which is the slope. Here, b1 = 0.50. It implies that one unit change in x will be 0.5 unit change in y.

To predict the mean tear rating when the plate gap is equal to 0 goes thus:

y = 0.75 + (0.05 × 0)

y = 0.75 + 0

y = 0.75

Lastly, the relationship between the plate gap and the tear rating is a positive one.

Learn more about regression on:

https://brainly.com/question/25987747

The sum of the squares of two positive numbers is 29 and the difference of the squares of the numbers is 21.

Answers

the numbers are 2 because 2^2=4 and 5 because 5^2=25 and 25+4=29

What is the equation of this line in slope-intercept form

Answers

(1,-3)(-1,5)

Slope=

m=5+3/-1-1m=8/-2m=-4

Equation in point slope form

y+3=-4(x-1)y+3=-4x+4y=-4x+1

Answer:

[tex]y=-4x+1[/tex]

Step-by-step explanation:

We have been given two points on the line, so:

[tex]\textsf{let}\:(x_1,y_1)=(-1,5)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(1,-3)[/tex]

Calculate the slope using the slope formula:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-3-5}{1-(-1)}=-4[/tex]

From inspection of the graph, it appears that the y-intercept (where the line crosses the y-axis) is at (0, 1).  However, just to be sure, use the point-slope form of linear equation.

Point-slope form of linear equation:  [tex]y-y_1=m(x-x_1)[/tex]

(where m is the slope and (x₁, y₁) is a point on the line)

[tex]\implies y-5=-4(x-(-1))[/tex]

[tex]\implies y-5=-4x-4[/tex]

[tex]\implies y=-4x+1[/tex]

Therefore, the equation of the line in slope-intercept form is:

[tex]y=-4+1[/tex]

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