Write an expression for the total Surface Area (SA) of a rectangular prism whose base is a square with side of length x and height of y.

Answers

Answer 1

For this case we have the following expression:
S.A = 2x ^ 2 + 2x *y + 2x * y
Rewriting we have:
S.A = 2x ^ 2 + 4x *y
S.A = 2 (x ^ 2 + 2x * y)
Where,
x: side length of a square base
y: height of the prism
Answer:
an expression for the total Surface Area (SA) of a rectangular prism is:
S.A = 2 (x ^ 2 + 2x * y)

Related Questions

If Jane has 3 3/4 dozen boxes of envelopes, and she ordered 11 1/2 dozen more, how many dozen boxes will she have in all?

Answers

Final answer:

Jane has a total of 61/4 dozen boxes of envelopes after adding the original 3 3/4 dozen with the additional 11 1/2 dozen she ordered.

Explanation:

If Jane has 3 3/4 dozen boxes of envelopes, and she orders 11 1/2 dozen more, we must add these two amounts together to find out how many dozen boxes she will have in all. First, we convert 3 3/4 to an improper fraction: 3 x 4 + 3 = 12 + 3 = 15, so 3 3/4 dozen becomes 15/4 dozen. Similarly, we convert 11 1/2 to an improper fraction: 11 x 2 + 1 = 22 + 1 = 23, so 11 1/2 dozen becomes 23/2 dozen.

Next, we add the two amounts of dozens of boxes together:

(15/4) dozen + (23/2) dozen

To add these fractions, we need a common denominator, which is 4, so we convert 23/2 to 46/4.

(15/4) dozen + (46/4) dozen = (61/4) dozen

So, in total, Jane will have (61/4) dozen boxes of envelopes.

Aaron is rolling the fair number cubes. What is the probability both cubes show a 5

Answers

The probability of two dice being the same particular number is 1/6 x 1/6 = 1/36. This is not the same as saying that both dice are the same number. There are six different possible numbers, so that would be 6/36 or 1/6.

Brainly please

15 min left! Anyone know this geometry question?

Answers

Option B is your answer. Those two angles are alternate interior angles.

a ice cream shop offers 5 different flavors of ice cream and 12 different toppings how many choices are possible for a single serving of ice cream with one topping

a. 18
b. 22
c. 46
d. 60
PLZ HELP

Answers

60 because 5 times 12 equals 60

Answer:

D)60

Step-by-step explanation:

All you do is multiply 5 by 12.

5x12=60

Suppose that a small town has seven burger shops whose respective shares of the local hamburger market are (as percent- ages of all hamburgers sold): 23 percent, 22 percent, 18 percent, 12 percent, 11 percent, 8 percent, and 6 percent. what is the four-firm concentration ratio of the hamburger industry in this town

Answers

SADNADDDDDDDDDDDDDSLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLDNNNNNNNNNNNNNNNNNNNNNNNNNNNNEL

what does –x2 – 6x – 8 look like on a graph
The 2 is a power

Answers

Does this answer your question?

The equation -x^2 - 6x - 8 looks like this when graphed.

I hope this helps!

what is the slant height of the cone

Answers

The formula is [tex]A= \pi rl[/tex]. You have the values for area and radius, so plug them in and divide to solve for l. [tex] \frac{13.8 \pi }{2.3 \pi } =l[/tex]. The pi's cancel each other out, so the division of the numbers gives you a slant height of 6

What is the value of x

Answers

Look at the picture.

x = 16.

A pet store has two tanks of tropical fish. The first tank contains 7 blue fish and 3 yellow fish and the second tank contains 10 blue fish and 8 yellow fish. If Keisha randomly purchases a fish from each tank, what is the probability that both fish will be blue? A. 1/70 B. 17/180 C. 7/18 D. 17/28

Answers

In the first tank we have 7 blue fish and 3 yellow fish, so total number of fishes in tank 1 = 10

The probability of picking a blue fish in tank 1 = number of blue fishes/ total number of fishes = 7/10

The second tank has 10 blue fish and 8 yellow fish, so the total number of fishes in tank 2 = 18

The probability of picking a blue fish in tank 2 = number of blue fishes/ total number of fishes = 10/18

The probability that both fish will be blue = 7/10 * 10/18 = 70/180 = 7/18 (Option C)

Evaluate the following in polar and standard forms. Select all answers that apply. [3(cos(27°) isin(27°))]^5

Answers

Using De Moivre's formula

if z = a ( cos x + i sin x ) ⇒⇒⇒ ∴ z^n = a^n ( cos nx + i sin nx)

Part (1)
∴ [ 3 (cos 27° + i sin 27°) ]⁵ = (3⁵) ( cos 5*27° + i sin 5*27°)
= 243 ( cos 135° + i sin 135°) ⇒⇒⇒⇒ Polar form
=================================
Part (2)

The angle 135° in the second quadrant ⇒ sin is (+) and cos is (-)
and its reference angle = 180° - 135° = 45°
sin 45° = cos 45°= 1/√2 = (√2)/2
∴ sin 135° = (√2)/2    and cos 135° = -(√2)/2
∴ 243 ( cos 135° + i sin 135°) = 243 [ -(√2)/2 + i (√2)/2 ]

= - 243(√2)/2 + 243 (√2)/2 i ⇒⇒⇒⇒ standard form
===========================================
The correct answers are options (1) and (3)

option (1) ⇒⇒⇒ 243 ( cos 135° + i sin 135°) ⇒⇒⇒⇒ Polar form
option (3) ⇒⇒⇒ - 243(√2)/2 + 243 (√2)/2 i     ⇒⇒⇒⇒ standard form

For a propular Broadway musical the theater box office sold 356 tickets at $80 apiece,275 tickets for $60 apiece and 369 tickes $45 apiece. How much money did the box office take in

Answers

The first step to solving this equation would be to how much they made for every apiece. To do this we must multiply the cost of the $80 apiece by how much they sold, as well multiplying the $45 apiece by how many they sold. And also the $60 apiece by the how many they sold.

$80 apiece × 356 tickets = ?

$60 apiece × 275 tickets = ?

$45 apiece × 369 tickets = ?

Now we must solve our equations.

$80 apiece × 356 tickets = $28,480

$60 apiece × 275 tickets = $16,500

$45 apiece × 369 tickets = $16,605

The next step would be to add up all the total costs of each apiece.

$28,480 + $16,500 + $16,605 = $61,585

So our answer is...

The box office took in a total of $61,585

Help me with this algebra problem. Thank you :)

Answers

To solve this problem you must apply the proccedure shown below:

1. You must make a system of equations, as below:

2. Let's call:

x: the number of first class tickets bought.
y: the number of coach tickets bought.

3. Then, you have:

x+y=7 (First equation)
970x+370y=3790 (Second equation)

x=7-y

4. By substitution, you have:

970x+370y=3790
970(7-y)+370=3790
y=5

x=7-y
x=7-5
x=2

Therefore, the answer is:

- Number of first class tickets bought=2

- Number of coach tickets bought=5

Someone please help me?

Answers

(AE + ED) *AE = (CB+ AB) *AB

(4 + ED) * 4 = (4+5) *5

(4 + ED) * 4 = 45

4ED +16 = 45

4ED = 29
ED = 29/4 = 7.25

AD = AE + ED

AD = 4 + 7.25

AD = 11.25

Answer is A

Please Help! 16 points!

The equation 1.6x − 2.2 = 1.4x can be transformed to form which of the following expressions?

Select one:

a. 3.0x = 2.2

b. 0.2x = −2.2

c. 3.0x = −2.2

d. 0.2x = 2.2

Answers

The answer is D, 0.2x = -2.2

You must simplify the equation using SADMEP, the reverse order of operations in which subtraction is the first step. Your goal is to isolate the variable.

First, subtract 1.6 from each side:

1.6x - 2.2 = 1.4x
-1.6x -1.6x
------ --------

This will get you to 0x - 2.2 = -0.2x, or -2.2 = -0.2x

This is equivalent to 2.2 = 0.2x

So, the equation can be simplified to 0.2x = 2.2

Hope this helps, let me know if you need anything else! :)

Answer:

Step-by-step explanation:

A and b are independent events. the probability that a will happen is 1/4 and the probability that b will happen is also 1/4. what is the probability they will both happen?

Answers

To find the probability of both things happening you just have to multiply them by each other.

1/4*1/4=1/16

Final answer:

For independent events A and B, the probability of both happening is the product of their individual probabilities. In this case, the probability of both A and B happening is 1/16.

Explanation:

In the field of probability in mathematics, when dealing with independent events like A and B in your question, the probability of both A and B happening (denoted as P(A AND B)) is calculated by multiplying the probability of A happening (P(A)) by the probability of B happening (P(B)) This is known as the multiplication rule for independent events.

So, if the probability that A will happen (P(A)) is 1/4, and the probability that B will happen (P(B)) is also 1/4, then the probability that both A and B will happen (P(A AND B)) is (1/4) * (1/4) = 1/16.

Learn more about Probability of Independent Events here:

https://brainly.com/question/30635387

#SPJ3

Two campers leave their campsite at point A to go on a hike. Camper one heads east for 2 miles, then heads north 1 mile to point B. Camper two heads north for 4 miles, then east for 3 miles to point C. Referencing the triangle formed by A, B, and C, m
A.
27°
B.
36°
C.
45°
D.
53°

Answers

Answer:

its not C. It's A. 27

I just did it with my math teacher

Food costs are expected to rise 6% each month for the next year. which series correctly depicts the cost (to the nearest cent) for the next three months if the current cost is $150 per month? $150.00 + $159.00 + $168.00 $150.00 + $159.00 + $168.54 $159.00 + $168.00 + $177.00 $159.00 + $168.54 + $178.65

Answers

Increment = 6% = 0.06
The explicit formula for the series is;
C(n) = C(n-1)(1.06), where n = nth month, C(n-1) = cost during previous month, C(n) = cost in month n

Applying the explicit formula;
Current cost = $150
2nd month cost = 150*1.06 = $159
3rd month cost = 159*1.06 = $168.54

The second option is correct.

according to edjenuity, the answer was

D. $159.00 + $168.54 + $178.65

A test was marked out of 80. A boy scored 60% of the marks on the test. How many marks did he score?

Answers

He score 48 marks.

This can be found by simply multiplying 80 by 60% (0.6). This will give you your rinal answer of 48.

I hope this helps!

Using differentiation from first principles, prove that the gradient of the line y=mx + c is m

Answers

[tex] \frac{dy}{dx} = m[/tex]
because when you differentiate, only the constant of the x remains (which is m in this case), and c being another constant independent of x, is 0 when differentiated. hence, since dy/dx is the gradient of the line, m is therefore the gradient

does the lateral area in a prism include the base?

Answers

No. The lateral area is the area of all faces except the bases.

What are angle a and the 60-degree angle to one another?

Answers

The answer to this is vertical angles i just got finished taking it

A sporting goods store sells 2 fishing reels and 5 fishing rods for $195. Later, they sell 4 fishing reels and 3 fishing rods for $131. Find the price of each item.

Answers

Let
Fishing reel = x
Fishing rods = y

Therefore,
2x + 5y = 195 ---- 1
4x + 3y = 131 ---- 2

Solving 1 and 2 above;
Multiply expression 1 by 2 and subtract 2 from the results;
4x + 10y = 390
4x + 3y = 131
-------------------
0x + 7y = 259 => y = 259/7 = 37

Using the value of y in expression 1;
2x + 5(37) = 195
2x + 185 = 195
2x = 10
x = 10/2 = 5

Therefore, the price of fishing reels is $5 and fishing rods is $37.

Find the volume of the square pyramid to the nearest cubic unit. edge 10 ft; height 11 ft 1,467 ft3 1,100 ft3 550 ft3 367 ft3

Answers

we know that
[volume of square pyramid]=(1/3)*b²*h
where
b is the length side of the square base-----> 10 ft
h is the height-----> 11 ft
[volume of square pyramid]=(1/3)*10²*11----> 366.67 ft³-----> 367 ft³

the answer is
367 ft³

Why does it take more centimeters than inches to measure the same distance?

Answers

Because 1 centimeter is smaller than 1 inch, so more centimeters than inches can fit in a given distance.

Leah pays $40 a month for cable TV, plus $4 for each movie she orders on pay-per-view. Which equation gives Leah’s total monthly cable bill as a function of the number of pay-per-view movies m that she orders?

Answers

m = movies
b = bill

b = 4m + 40

I hope this helps

An equation which gives Leah’s total monthly cable bill is b=4m+40.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Leah pays $40 a month for cable TV, plus $4 for each movie she orders on pay-per-view.

Let the number of pay-per-view movies she orders be m and the total monthly cable bill be b.

Now, b=4m+40

Therefore, an equation which gives Leah’s total monthly cable bill is b=4m+40.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ5

A standard number cube is tossed. Find P (3 or odd)

A. 1/2
B. 2/3
C. 1/3
D. 1/6

Answers

Total number of possible outcomes = 6

Total number of outcomes with 3 or odd = 3
They are : 1, 3, 5

P(3 or odd) = 3/6 = 1/2

Answer: 1/2

E = event space = set of outcomes we want to happen
E = set of numbers that are either 3 or odd
E = {1, 3, 5}

S = sample space = set of all possible outcomes
S = set of all the values on the standard number cube (aka dice)
S = {1, 2, 3, 4, 5, 6}

There are 3 items in the event space out of 6 total in the sample space
Using math notation, we can say n(E) = 3 and n(S) = 6. The small n means "number". So writing "n(E)" means "number of items in the event space".

So,
P(3 or odd) = n(E)/n(S)
P(3 or odd) = 3/6
P(3 or odd) = 1/2

The probability as a fraction is 1/2, which is 0.5 in decimal form. This represents a chance of 50%. Note: since 3 is an odd number, saying "P(3 or odd)" is the same as just saying "P(odd)"

Answer: Choice A. 1/2

What is the equation of the quadratic graph with a focus of 4,0 and a directrix of y=10

Answers

To solve this problem youu must apply the procedure shown below:

1. Let's call (x0, y0) to any point of the parabola.

2. Then, you have:

√(x0-a)^2+(y0-b)^[2=|y0-10|

3. When you susbtitute values and simplify it, you obtain:

(√(x0-4)^2+(y0-0)^2)^2=(y0-10)^2
(x0-4)^2+y0^2=(y0-10)^2

4. Now, you must clear y, and you will have:

y=(-x^2/20)+(2x/5)+(21/5)

There are 10 red and blue marbles, among which r are red. How many are blue? Denote blue marbles as b

Answers

Answer:

equation=r+b=10

answer=10-r

Its common sense y'all! IF you don't have enough information,just make up a equation! And use the variables as your numbers!

There are 10 - r blue marbles

How to determine the number of blue marbles?

The distribution of the marbles are given as:

Red = r

Blue = b

Total = 10

This means that:

b + r = 10

Solve for b

b = 10 - r

Hence, there are 10 - r blue marbles

Answers

I'm pretty sure it is 17.5

Karla and her dad were nailing up plywood, they started at 10:00. Karla drove 30 nails in 10 minutes, the time it took her dad to drive 50 nails. At that rate for each, when did they finish driving 392 nails in all ?

Answers

They finished @ 10:47 hope this helped

Other Questions

the bill for a meal came to 65.40 plus 15% service charge what was the total bill? Dr. morris believes that it is inadequate for death to be only pain and trauma free. she believes that people suffering from a terminal illness should be able to select the particular style of exit they believe is consistent with their total lifestyle, such as a romantic death, a brave death, or one that integrates and confirms the person's unique identity. dr. morris subscribes to the quest for In which country do citizens have the fewest voting rights A. Iran B. Israel C. Turkey D. Saudi Arabia The source of power in a nuclear power plant comes from The line this disaster swallows up a man and wife together is an example of _____.A) simileB) metaphorC) personificationD) hyperbole What is the mode of the given data set? 65, 45, 79, 56, 63, 45, 71, 69, 65, 53, 45 Which of the following leaders fought for Mexican independence from Spain? When a terminally differentiated cell in an adult body dies, it can typically be replaced in the body by a stock of __________? Describe how you could draw a diagram for a problem about finding the total length for two strings, 15 inches long and 7 inches long Which is a symptom of toxic shock syndrome1.dizziness2.highfever3.depression4.weakness Kristin believes that a person should always tell the truth because that is what a good girl or boy does. she seeks to please others. this type of moral reasoning is characteristic of kohlberg's level of _____. If a quantity you calculated has units of (kg*m^2)/(s^2*c), what is that quantity? The federal reserve system: was created by and is owned by the government. pursues independent fiscal policy at the behest of congress. never acts to control inflation. pursues an independent monetary policy which can conflict with the government's economic policy. only acts to lower taxes and increase spending when there are recessionary tendencies in the econo Tiles light lightly lightness Pairs After passing her driving test, Lisa felt a sense of ______. arrowBoth Please ______ the candles on the birthday cake. arrowBoth Patrick did not take the test ______ and studied intensely. arrowBoth "what is the concentration of positive charge and mass in rutherford's atomic model called?" A metal washer is made by cutting out a circle 13.2 mm in diameter from a larger circle. To the nearest tenth, what is the area of the washer? PLEASE HELP! WILL MARK BRAINLIEST!!Which pair of words best describes Mrs. Tall in this excerpt?a. sad and lonelyb. outspoken and angryc. shy yet proudd. upset yet protective---Mrs. Tall stayed in all the next day but went out alone after dark, unaware that though the light in the gatehouse was out the tailor's wife was watching her from the window. She trailed her out of the gate and past two crossroads till Mrs. Tall stopped to knock softly on a gate. The tailor's wife ducked behind a telegraph pole and waited, holding her breath, as if to pounce on a rabbit when it popped out of its burrow. The gate creaked open. An old woman led out a child. "All over, is it?" she asked. Mrs. Tall's answer was inaudible. "He's had his supper and a sleep," the old woman said. "Take him home quickly now." The tailor's wife realized that this was the woman who minded their little boy. Her excitement died down as Mrs. Tall turned back to lead her son home. All was silence apart from the sound of their footsteps. The tailor's wife stood motionless behind the telegraph pole till they had gone, then scurried home herself. The next morning when Mrs. Tall led her son out, her eyes were red. No one would speak to her, but they all saw her red, swollen eyes. What is the volume of a cylinder with a diameter of 12 in. and a height of 7 in.? How does benvolio plan to cure romeo's lovesickness over rosaline? What is the value of z in the equation 3z 7 = 14? (4 points)