What is the length of the diagonal for the given rectangular prism to the nearest whole unit? A) 10 cm B) 11 cm 6 cm D) 13 cm







What Is The Length Of The Diagonal For The Given Rectangular Prism To The Nearest Whole Unit? A) 10 Cm

Answers

Answer 1

Hi there! :)

[tex]\large\boxed{\text{B. 11 cm.}}[/tex]

Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:

a² + b² = c²

Use the length and width in the equation:

8² + 3² = c²

64 + 9 = c²

73 = c²

c ≈ 8.54 cm

Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:

(8.54)² + 7² = c²

73 + 49 = c²

122 = c²

√122 = c

c = 11.05 ≈ 11 cm. The correct answer is B.


Related Questions

The cost of student tickets at a movie theater can be
equation: C = $5.50x, where C is the cost and x is the number of student
tickets. Which statements are true about this situation? Select each correct
statement.

A. The constant of proportionality is $5.50.

B. The unit rate is $2.25.

C. Two movie tickets cost $11.00.

Answers

A - Correct

The proportionality constant is the number that associates the two different quantities. In this case, the cost is 5.5 times the number of tickets, therefore, it is the constant of proportionality between the cost and the number of students.

B- Incorrect

If you plug in x=1, you get the cost for exactly one ticket. In this case, C(1)=5.5, so the unit rate is 5.5

C- Correct

If you plug in x=2, you get the cost for two tickets. Therefore C(2) = 5.5x2;

C(2)= 11

So the cost of two tickets is $11.00

- 2(x + 1) =- 2x + 5
How many solutions

Answers

Answer:

-2(x+1)=-2x + 5= (0=7)

Step-by-step explanation:

get solution it helps so much

Answer:

the answer has no solutions

Step-by-step explanation:

there's no value for x

Last week, Charlie put 15 gallons of gas in his car and paid $50.25. Yesterday, Charlie put 12 gallons of gas in his car and paid $40.20. If the price of gas remains the same, how much will it cost Charlie to put gas in his car next week? Select ALL that apply.
A
Charlie can put 8 gallons of gas in his car for $26.80.

B
Charlie can put 11 gallons of gas in his car for $38.65.

C
Charlie can put 14 gallons of gas in his car for $47.90.

D
Charlie can put 17 gallons of gas in his car for $56.95.

Answers

Answer:

A and D

Step-by-step explanation:

So I divided $50.25 by 15 and I got 3.35. Then I divided $40.20 by 12 and got 3.35 again. So I multiplied 8, 11, 14, and 17 by 3.35. I got the right answer for 8 (A) and 17 (D).

(2/3)x = 12
what does x =

Answers

Answer:

x=18

Step-by-step explanation:

To solve for x you need to times both sides by 3/2 so then 12*3/2=12*1.5=18.

(can I get brainliest please)

Answer:

X = 18

Step-by-step explanation:

(2/3)X = 12

X = 12/(2/3)

X = 36/2

X = 18

Fill in the blanks for the explicit formula.
-8, 22, 52, 82, ...

Answers

It is 30. F(30) = -8 + 30(n-1)

Answer:

it is 30

Step-by-step explanation:

i took the test so please mark me the brainlest

ANSWER NOW!!!!!!!!!!!!!!! Max remodeling his living room and is having carpet installed. The installation fee is $300.00. The carpet is priced at $3.75 per square foot, x. Which equation best represents the total cost, y, of the remodel?

Answers

Answer:

y = 3.75x + 300

Step-by-step explanation:

hope it was in time :)

Answer:

56

Step-by-step explanation:

56

What is the best name of the line?

Answers

The radius is the answer

For a test, my teacher asks, "Give two different ratios with a description of the ratio relationship using the following information. There are 15 golden retriever dogs in the dog park. There are 10 basset hound dogs in the dog park." Please help!

Answers

15:10, 15 to 10, or 15/10

What is cos 30°?
O A
B. 1
OC
-IS
OD
O
E.
O EV3

Answers

Answer:

cos (30 deg) = sqrt (3) /2

Step-by-step explanation:

Choose a number 1-50 I need help
Comment or answer

Answers

20.................................

send help I am smol brain

Answers

Answer:

its C

Step-by-step explanation:

HELP!!!! Read the following story carefully, and then complete the activities that follow.

"Good-bye, Mom," Tino cried as he rushed out the door. Tino had his new fishing pole with him and was anxious to try it out.

Tino Kanaha (kan' ah hah) was a Hawaiian boy. He had just turned twelve the day before and had received the fishing pole as a gift from his father.

Tino's house was about a half mile from the cliff overlooking the leeward side of Maui. Many times Tino had climbed down to the rocks below and looked for seashells while his father fished for aku.

"Now it's my turn," thought Tino as he scurried out onto one of the rocks, "and I get to do it all by myself!"

"Aku, here I come!" yelled Tino excitedly as he cast his bait into the surf.

An hour later, Tino heard someone call his name. He looked up and saw his good friend, Kona. "Have you caught anything?" Kona yelled.

"Oh, hi, Kona," Tino said disappointedly. "Wait for me, and I'll be right up."

As Tino reeled in his line, he noticed the waves were much bigger than they had been before. "The wind is stronger, too, " thought Tino as he glanced at the darkening sky.

"We'd better hurry home," Tino said to Kona as he reached the top of the hill. The two boys ran as quickly as they could. They even took the short cut through the sugar cane field to save time.

Kona raced into his yard and, without stopping, he yelled, "Good-bye, Tino! I'll see you tomorrow!"

The first big drops of rain began to fall as Tino reached the front door of his house.

"Oh, I'm glad you're home!" Mrs. Kanaha said. "It is beginning to rain very hard!"

"The storm must be the reason the fish weren't biting," Tino said as he put his fishing pole into the rack on the porch, "but I'll try again tomorrow."



Give two details that are clues that Tino did not catch any fish.

Answers

Detail 1: In the second to last paragraph Tito states that “the storm must be the reason the fish weren’t biting” indicating that the he didn’t catch any fish

Detail 2: When Tito’s friend Mona asks “Have you caught anything ?” Tito doesn’t answer the question and only says “Oh hi Kona” which shows that he didn’t catch a fish yet
Clue #1 - “Oh, hi, Kona,” Tino said DISAPPOINTEDLY. “Wait for me, and I’ll be right up.”

Clue #2- “The storm must be the reason THE FISH WERENT BITING,” Toni said as he put his fishing pole into the rack on the porch, “but I’ll try again tomorrow.”

Please teach me how to do this?

Answers

Answer:

there where two toy cars that are longer then 8 inch

A plumber charges $80 for a house call and $25 per hour for his services. Which of the following is a linear model of his charges.

Answers

Answer:bals

Step-by-step explanation:25(number of hours worked) +80$ for initial charge

Answer:

25x+80

The number of hours is x for services

Add. Express each sum in simplest form : 5/9+1/2

Answers

Answer:

19 /18  or 1 1/18

Step-by-step explanation:

first you need to make the denominators the same

10/18+9/18

then add the numerations together to get

19/18 or 1 1/18

I hoped this helped :)

Wen Naey started mkkdle sehool, she was 60 inches tall, When she started high school, she was 65 inches tal. V/h
was the iNercent ehange n her height?
O6Nrcent crease
O9INcent icrease
010Nercent crease
O0Nereent crease

Answers

The first one is the answer

PLEASE ANSWER THIS ONE!!!

Answers

Answer:

6:5

Step-by-step explanation:

i think this is it as I square rooted it and go that

Fasssssssst neeeeeed answer

Answers

Answer:

20%

Step-by-step explanation:

14/70=0.2

0.2=20%

Answer:

I believe it is 20 %

y = 2(x - 2)2 + 1
10
What is the
a. Vertex
b. Axls of Symmetry line: x =
c.y.Intercepts:(

Answers

Answer:

Step-by-step explanation:

Vertex

Gianna cuts a ribbon into equal pieces as shown below. She uses 4 pieces of the ribbon for a project. What fraction of the ribbon does Gianna use for the project? Explain how you found your answer.

Answers

1/4

ONE of the FOUR total pieces was used.

Which of the following expressions are equivalent? I. 10(k + 4) II. 10k + 40 III. 5(2k + 8)
2 points
A) I and II only
B) I and III only
C) II and III only
D) I, II, and III

Answers

Answer:

The answer is D.

Step-by-step explanation:

1. 10(k+4) → 10•k + 4•10 → 10k+40

2. is how it is

3. 5(2k+8) → 5•2k + 5•8 → 10k+40

so it's 1,2,&3

The answer is c I took the test and got it right

Written as a rate, 32 miles in 8 hours would be miles per hour.​

Answers

32 miles in 8 hours would be 4 miles per hour.

Answer:

I'd say 4 because there is 32 miles in 8 hours there would be 4 moles per hour 32÷8=4

8z - 13 = 5z + 8 The Zs are variables ​

Answers

43 is the answer for the whole equation

need help.with this problem ​

Answers

Answer:

Step-by-step explanation:

A(2,2) B(-2,1) and C( 3,-3)

reflection over the the y-axis of (x, y) becomes ( -x, y)

A'( -2,2), B'( 2, 1) and C'( -3,-3)

What should I write

Answers

Answer:

4x

Step-by-step explanation:

You multiply the two numbers together:

Top left, purple tile: 3x(x) = 3x^2

Top right, pink tile: 4(x) = 4x

Bottom left, yellow tile: 3x(2) = 6x

Bottom right, blue tile: 4(2) = 8

Basically u multiply the variable above it and the variable at its left

Answer:
4x

Explanation:
x + 4 = 4x

what is the percent of decrease from 4 to 1

Answers

Answer:

75%

Step-by-step explanation:

It went down by 3 so,

4-1=3

4 * 75% or 0.75=3

No bother to find or locateNope not found nope

Answers

That’s Um..ah okay then

Write the equation of the line that is parallel to the original equation and passes through the point
(12, 6).

Answers

Answer:

12

Step-by-step explanation:

12 your welcomeeeeee

what is √ − 3 ⋅ √ − 27 =

Answers

We are given the expression:

√-3 * √-27

__________________________________________________________

Explaining the concept:

We know that:

√ab = √a * √b

Using this concept, we will simplify the given expression and solve it

__________________________________________________________

Simplifying the expression:

√-3 * √-27

√(-1*3) * √[(-1)*(3)(3)(3)]

√-1 * √3 * √-1 * √3 * √3 * √3

(√-1 * √-1) * (√3 * √3 * √3 * √3)

(√-1)² * (√3)² * (√3)²

-1 * 3 * 3

-9

Hence, after simplifying the given expression, we get -9

HELP NOW !!!!!!!! solve ∣x − 6∣= 2

Answers

Answer:

x=8

Step-by-step explanation:

<3

Answer:

{8,4}     can you mark as brainliest

Other Questions
Be your own songwriter: Create a short song about your favorite Christmas (10 verses) plzz fast Which of the steps below is NOT important for wellness?A. focusing on quality of lifeB.keeling all aspects of life at all timesC. creating balanceD.keeping all aspects of ife the same at all timestaking personal responsibility PLSSSSS HURRY People find that when they seek treatment for disorders:A. they often feel much better.O B. they feel worse than before treatment.OC. there isn't much hope.O D. all people are given medication. How did the 1920s change American life?YOU CAN DO THIS WITH YOUR OWN WORDS I DONT CARE. What is the value of x in the figure shown below? Find the length of the segment with endpoints K(0,2) and V(9,14).A. 21B. 15C. 12D. 9 The purpose of warfare in our world a store sells gift cards in preset amounts. you can purchase gift cards for $20 from chipotle and $30 from panera. you spent $440 of gift cards. write an equation in standard form to represent this situation (I'm timed)What would be the correct choice for;Yo _______ en el agua.Options:a) entrb) entrastec) entramosd) entr A model airplane is 18 centimeters long. If the actual airplane is60 meters long, what scale was used to create the model.QUICK PLZ ILL GIVE BRAINLIEST 1 pointA man with type A blood marries a woman with type AB blood. Based onwhat you know about blood types, what is the only blood type not possiblein any of their children? (remember, the 4 types are A, B, AB, and O)*ABAB0 What is the center of gravity for an entire solar system? Solve 4e^1+3x-9e^5-2x=0 HELP PLEASE THIS IS MY 3RD TIME POSTING THIS QUESTION PLEASE HELP Convert the following fractions to decimals.Help me plz Solve for x: x3 = 512 Your answer may be a whole number or a fraction. f(2)=7 into coordinate points please help me! i will mark as brainleist Which of the following is NOT a true statement about the sides of a right triangle? A. The hypotenuse is the longest side. B. The legs are the sides adjacent to the 90 angle. C. Side a is always longer than side b. D. The hypotenuse is opposite the 90 angle. Natural Bridge Cavern was formed by water that seeped into the soft limestone in central Texas. What is this process called?Mechanical weatheringChemical weatheringDepositionErosion