MATHEMATICS HIGH SCHOOL

List the measurements of three different rectangular prisms that each have a surface areaof 20 square units?

Answers

Answer 1

Answer:

3 measurements of different rectangular prisms that each have a surface area

of 20 square units is given as

(4.5 × 1 × 1)

(2 × 1 × 2.67)

(2 × 3 × 0.80)

Step-by-step explanation:

A rectangular prism is a cuboid and the surface area of a cuboid with length, x, width, y and height, z, is given as

S = 2xy + 2yz + 2xz

S = 2[xy + yz + xz]

So, the question asks us to list 3 different measurements of a rectangular prism with surface area of 20 square units.

S = 2[xy + yz + xz] = 20

[xy + yz + xz] = 10

So, with a little of trial and error, we can vary the values of x, y and z to obtain 3 separate measurements that give a surface area of 20 square units.

[xy + yz + xz] = 10

Let x = 4.5, y = 1, z = 1

(4.5×1) + (1×1) + (4.5×1) = 10, works!!!

(x, y, z) = (4.5, 1, 1)

[xy + yz + xz] = 10

Again, we can fix arbitrary values for two sides and calculate for the last side.

If x = 2 units, y = 1 unit,

(2×1) + (1×z) + (2×z) = 10

2 + 3z = 10

3z = 8

z = (8/3) = 2.667 units

(x, y, z) = (2, 1, 2.67)

[xy + yz + xz] = 10

And lastly, if x = 2, y = 3

(2×3) + (3×z) + (2×z) = 10

6 + 5z = 10

5z = 4

z = (4/5) = 0.80 unit

(x, y, z) = (2, 3, 0.80)

Hope this Helps!!!

Related Questions

The difference of two numbers is 12. the larger number is one less than twice the smaller number. find the two numbers.
Exercises1. The sum of both numbers of a number is 14. On having exchanged the numbers of the tens with that of the units, the number increases in 18. It finds the original number.2. The sum of two numbers is 21 and his difference is 5. ¿Which are the numbers?Please I am grateful for them to him very much indeed ...:)
What is y=6x-4 in standard form
Luis has about 700 baseball cards. What is the greatest amount of cards Luis could have that would round to 700
There are 200 students in the 7th grade class at Manchester Middle School. Of these students, 22% play football and 12% play baseball. Eight students play on both teams. What is the probability that a student plays either football or baseball?

If each quadrilateral below is a rectangle find the missing measure in #3

Answers

You can solve this exercise as below (View the figure attached):

1.Divide the figure in four equals parts. Now we have 4 rectangles with the same dimensions.
2.Choose the rectangle that has the angle given in the problem, which we will call "α" (α=59°).
3. We must remember that the sum of the internal angles of a triangle is 180°. We have α=59° and the right angle, so we can find the other one, which we will call "β1":
β1=180°-90°-59° β1=31°
4. As we can see in the figure, "α" is alternate interior with α1 (α=α1=59°) and β1 is alternate interior with m∠11 (β1=m∠11=31°).
5. The others rectangles have the same dimensions of the rectangle we chose, so they have the same angles too.
We can notice in the figure that m∠7+m∠8+m∠9+m∠10= 360°

The answer is:
m∠1=59°
m∠2=31°
m∠3=59°
m∠4=31°
m∠5=31°
m∠6=59°
m∠7=118°
m∠8=62°
m∠9=62°
m∠10=118°
m∠11=31°

the price of a notebook was $3.15 yesterday. today, the price rose to $3.40 . find the percentage increase. round your answer to the nearest tenth of a percent.

Answers

Yesterday = $3.15
Today = $3.40

% Increase = ((3.40 - 3.15) / 3.15) * 100%

= (0.25/3.15) * 100%

≈ 0.0794 * 100%

≈ 7.94 %

≈ 7.9 % to the nearest tenth.

Final answer:

The price of the notebook experienced a percentage increase of 7.9%.

Explanation:

The subject of this problem is in the area of mathematics, specifically on percentage increase. To find the percentage increase in the price of the notebook, you first find the difference in price. The difference is $3.40 - $3.15 = $0.25. Next, you divide the increase by the original price, which gives you: $0.25 / $3.15 = 0.079365. Then, to turn this into a percentage, multiply the result by 100 to get 7.9365%. Rounding this to the nearest tenth, we get 7.9%.

Learn more about percentage increase here:

brainly.com/question/33932701

#SPJ2

find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.

Answers

Answer:

√3, and -√3

Step-by-step explanation:

to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x

x²-3=0 add 3 to both sides to isolate x

x² = 3 squareroot both sides

√x²= √3

x= ±√3 are the two zeros

Jared recently purchased a new pair of running shoes. He got a 20% discount, which saved him $9.00

Answers

If you are looking for the total price of the shoes its really quite simple, if 20% is $9 then you can just multiply that by 5 and get $45 so the total cost of the shoes would be $45 But- if you are looking to see what he actually paid then it would be $36

Solve for m: 18d – 2m + 9k < 5k + 10.

Answers

Simple,

just go with the flow,

18d-2m+9k<5k+10
-9k -9k

18d-2m<-4k+10....

18d-2m<-4k+10
-18d -18d

-2m<-18d-4k+10

Now, divide.. (but remember when dividing by a negative the sign gets flipped)

$(-2m)/(-2) \ \textless \ (-18d-4k+10)/(-2)$

Thus, m>9d+2k-5.

Your answer.. :D

Holly finds that (11m – 13n + 6mn) – (10m – 7n + 3mn) = m – 20n + 9mn. What error did Holly make? a)he only used the additive inverse of 10m when combining like terms. b)She added the polynomials instead of subtracting. c)She only used the additive inverses of –7n and 3mn when combining like terms. d) She did not combine all like terms.