The surface area for a rectangular prism is given by the formula SA = 2ab + 2bc + 2ac, where a, b, and c are the lengths of the prism. If the surface area of a rectangular prism with side c measuring 12 meters is 434 square meters and length of side a measuring the same length as side b, then what is the length of side a of the rectangular prism?

Answers

Answer 1

Answer:

We are given

We are also given  and , which allows us to rewrite the equation as

(I substituted every "b" with "a" and every "c" with "9").

The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.

Answer 2

The required measure of side a of the rectangular prism is a = 9.3 meters.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
SA = 2ab + 2bc + 2ac
434 = 2a² + 14a + 14a
434 = 2a² + 28a
2a² + 28a - 434 = 0
a² + 14a - 217 = 0
a² + 14a + 49 - 49 - 217 = 0
(a + 7)² = 266
a = 9.3 or a = -23.3

Since the negative measure of length can be neglected.
a = 9.3 = b

Thus, the required measure of side a of the rectangular prism is a = 9.3 meters.

Learn more about the surface area here: https://brainly.com/question/2835293

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Related Questions

Jayden's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline.

Answers

Answer:

D= distance covered by amount (g) gallons

D=23g

Step-by-step explanation:

There are 24 carnations in each bunch and 12 roses in each bunch. Use your expression from question 1 or question 2 to determine the total number of carnations and the total number of roses Alison will distribute to each flower shop this week.

Answers

Answer: r/c  

Step-by-step explanation:

96/48

or

24/12

SOMEONE PLEASE HELP ME IM STRESSED OUT ILL GIVE OUT BRAINLIEST PLEASE DON’T ANSWER IF YOU DON’T KNOW THANK YOU

Answers

Answer:

2$

Step-by-step explanation:

16$ times 5 = 80

80 divided by 40 =2

Answer:

$2

Step-by-step explanation:

Timothy purchased a computer for $1000. The value of the computer depreciates by 20% every year.

Answers

Answer:

We can apply the straight-line method to solve for the value of the computer every year.

Step-by-step explanation:

Step one:

What is depreciation?

It can be defined as the loss of value of a commodity.

In this problem, the percent depreciation is given as 20% which means that 20% of the worth of the computer is lost every year.

We are told that the computer cost is $1000

let the number of years taken for the computer to depreciate be x

Step two:

Say we want to find the value of the computer after 1 year, the value of the computer will be

Value of computer= 1000-20/100*1000

Value of computer= 1000-0.2*1000

Value of computer= 1000-200

Value of computer= $800

Step three:

For the second year, the value will be

Value of computer= 800-20/100*800

Value of computer= 800-0.2*800

Value of computer= 800-160

Value of computer= $640

Answer:

This situation represents exponential decay. The rate of growth or decay, r, is equal to 0.2. So the value of the computer each year is 80% of the value in the previous year. It will take 3 years for the value of the computer to reach $512.

Step-by-step explanation:

PLATOOOOOO

Please help. I need to refresh my mind of this problem and a few more if you don't mind

Answers

Answer: c

Step-by-step explanation:

look at the equation and insert the value of X from the table into the equation and figure out which one will give you the same sum for the values. for example f(x) = 3(-2)-1

this answer gives you f(x)= -6 -1 which will give u a sum of -7

another one : f(x)= 3(0)-1

3 multiplied by 0 gives you 0 therefore you are left with -1

by doing this you prove that this equation works with ur x values and gives you the same sum you have for f(x)

Helpppppp plssssssssss

Answers

Answer

I dont know

Step-by-step explanation:

I would love to help but I have no clue

Answer:

slope = 12/7

Step-by-step explanation:

y2 - y1 / x2 - x1 = slope

slope = 4-(-8)/0-(-7)

slope = 12/7

Gabby has 20 coins in her pocket that are quarters, dimes, and nickels. The total value of the coins is $2.70. The number of nickels that she has is equal to the number of quarters plus the number of dimes. Choose the system of equations that can be solved to find the number of quarters, 9, dimes, d, and nickels, n, that Gabby has.

Answers

Answer:

There's 9 nickels and no dimes

Step-by-step explanation:

the quarters equal $2.25

so there is at least 9 nickel's witch equals .45 cents add them and get $2.70 so

The system of equations to find the number of quarters, 9, dim, d, and nickels, n, that Gabby has are;

n = q + dn = 10q +d = 10

Since, the total value of quarters, dim, and nicke is; $2.70.

Since the number of nickels that she has is equal to the number of quarters plus the number of dimes; we have;

n = q + d

Since, Gabby has 20 coins in her pocket.

n + q + d = 20

Therefore 2n = 20 from n = q + d

n = 10

Read more on system of equations:

https://brainly.com/question/20978003

Which of the graphs below represents the solution set for d - 4 > -3?

Answers

Answer: C

Step-by-step explanation:

Which of the following is the slope intercept form of the equation
3x - 8y = 16

A- y = 3/8x + 2
B- y = 3/8x - 2
C- y = -3/8x + 2
D- y = -3/8x - 2

Answers

Answer:

y = 3/8 x - 2

Step-by-step explanation:

Put 8y on the other side to get

8y + 16 = 3x

8y = 3x - 16 and thus

y = 3/8 x - 2

A football team won 75% of 60 games in a season. How many games did they win?

Answers

Answer:45 games

Step-by-step explanation: 1+1 is 2 so yeah

Answer:

I think its 45 games

Step-by-step explanation:

75% times 60 = 45

*My school in middle school was rushed about math when we learned percent. Like the teachers were talking so fast, sorry if I'm wrong. <--- reason if I'm wrong.

A computer’s random number generator produces random integers from 1 to 50. What is the probability that the first 3 integers generated are single-digit numbers?

Answers

Answer:

A. 0.0058

Step-by-step explanation:

Order the following fractions from least to greatest 2/8 2/3 2/9

Answers

Answer:

2/9, 2/8, 2/3

Step-by-step explanation:

2/9= 0.22 (to 2 decimal point)

2/8= 0.25

2/3 = 0.67

Mariah025 answer here please

Answers

Answer:

wht

!?

............

..............

..

.

sorry but i have another question :| tysm all yall for helping meee ^w^

Answers

9514 1404 393

Answer:

4: {8, 12, 16, 24}7: {7, 42, 49}neither: {6, 11, 17}

Step-by-step explanation:

Looking at the numbers individually, we have ...

16 = 4×4

42 = 2×3×7

6 = 2×3

17 = 1×17 (prime)

12 = 3×4

49 = 7×7

24 = 2×3×4

7 = 1×7 (prime, a multiple of 7)

11 = 1×11 (prime)

8 = 2×4

__

Multiples of 4:

  16, 12, 24, 8

Multiples of 7:

  42, 49, 7

Multiples of neither:

  6, 17, 11

Over what interval is the function nonlinear?

Answers

Answer:

Step-by-step explanation:

3rd one

Julie says that she can perform a magic trick with numbers. She asks you to pick a whole number, any whole number. Square that number. Then add twice the your original number. Next add 1. Take the square root of the result. Finally, subtract your original number. Then Julie exclaims with authority, "Your answer is 1." Is your answer 1?

Answers

Answer:

No

Step-by-step explanation:

I picked 2. Then got 4. Then 8. Then 9. Then 81. Then 79.(i dont know if this is right)

Pls help and show workings

Answers

Step-by-step explanation:

AB = 72 so, then FB would be half of that

so 72 divided by 2 would be 36

5x+1=36 then do substitution

-1 from both sides (from +1 you gotta do the inverse)

5x = 35

divide 5 from both sides because in between 5 and x is a times so the inverse of that is divide

x = 7

In March, you have $220 in your savings account. By the end of April, your savings have increased by 30%. How much money do you have in your savings account at the end of April?

Answers

Answer:

$286

Step-by-step explanation:

220:100=2.2

2.2 x 30 = 66

220+66=286


Round the number 2.72603 to 2 decimal places.

Answers

Answer:

2.73

Step-by-step explanation:

You round 6 up to get 2.73

Please give brainliest and thank me if it helped

2.70
rounded seven back coz 2 is less than 5

20 points!
Just need help on these questions
I will try to mark brainliest!

Answers

Answer:

the first one is 45% I don't no the second one

15 = 5/ 3(x + 12) solve for x in simplest form

Answers

Answer:

x= -10 1/5 or -10.2

Step-by-step explanation:

Pleaseeee helppppp meeeeee

Answers

Answer:

the answer is (1)

Step-by-step explanation:

k = am +3mx

i) factorize out m from the expression

k = m(a+3x)

ii) rearrange the equation using commutative property

m(a+3x) = k

iii) divide both sides of the equation by (a+3x)

[tex] \frac{m(a+3x)}{(a + 3x)} = \frac{k }{(a + 3x)} [/tex]

[tex]m = \frac{k }{a + 3x} [/tex]

one more than the product of 6 and a number v?


Plzzzzzz help me:(


And PLZZZ answer right


Thank u!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!:)

Answers

Hello there!

The answer would be 1+6*f

Hope this helps

Have a fantastic day

A 123​-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.

Answers

Answer:

the shorter pipe is 41 inches the longer one is 82 inches.

Step-by-step explanation: hope this helps

27 = -3x - 9 plssss helppp​

Answers

Answer:

x = 1-2

Step-by-step explanation:

27 = - 3x - 9

36 = -3x

-12 = x

x = -12

Step-by-step explanation:

27+9=-3x

36=-3x

36 divided by -3=x

-12=x

3. Find the first five positive values (correct to three decimal places) of the inverse circular
relation arccos(0.6)

Answers

its 12.0

Step-by-step explanation:

WILL mark brainliest

Answers

Answer:

do u have to find the pattern?

Step-by-step explanation:

Task 4
Shelly started driving her own car for Uber. She
charges a flat fee of $5.00 and $0.50 for every
kilometer.
Q: How many kilometers were travelled if she
charges $32.50?

Answers

Answer:

5 and 10/11 kilometers

Step-by-step explanation:

if she gets $5.50 per 1 kilometer the she gets $33 dollars per 6 kilometers but she got 32.50 there are $0.50 missing which equals to 10/11 the actual price so she went 5 kilometers and 10/11 killometer

Pls help??????????????

Answers

Answer:

perpendicular

Step-by-step explanation:

L1: find the slope

rise: 2 - (-5) = 7

run: -1 - (-3) = 2

m1 = 7/2

L2:

rise: 2 - 4 = -2

run: 7 - 0 = 7

m2 = -2/7

parallel means same slope m1 = m2

perpendicular means opposite reciprocal (flip and change signs)

7/2 flip and change signs = -2/7, yes thus it is perpendicular

Alazari rode her bike to school
then the hospital and back home.
If she lives 70 meters from school
and 60 meters to the hospital, how
far did she travel in all?
-

Answers

260meters because 70+70=140 and 60+60=120 which is 140+120=260
This answer applies to the question only if the 3 locations are collinear, if they are not I don’t believe that there is a possible solution for the problem
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