What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm​ long, 11 cm​ wide, and 9 cm​ tall?

Answers

Answer 1

Answer:

the longest segment is between 14 and 9

Step-by-step explanation:

this is the best answer in my eyes

Answer 2

The length of the diagonal of the rectangular prism will be 19.95 centimeters.

What is the diagonal of the rectangular prism?

A rectangle's longitudinal divides it into two equivalent right triangles. A rectangle's diagonal elements are all the same length. A rectangle is a rectangle whose diagonal elements bisect one another, cross at right angles, and are identical.

The length of the diagonal of the rectangular prism is given as,

D² = L² + W² + H²

The dimensions of the rectangular prism will be 14 cm long, 11 cm wide, and 9 cm tall.

The diagonal length is calculated as,

D² = 14² + 11² + 9²

D² = 196 + 121 + 81

D² = 398

D = 19.95 cm

The length of the diagonal of the rectangular prism will be 19.95 centimeters.

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Related Questions

What is the volume of this prism?
3 cm
3 cm
20 cm
13 cm
13 cm
6 cm

Answers

Answer:

720

Step-by-step explanation:

break the area into two shapes the triangle and the rectangle

then you good

Jill always buys the same kind of shampoo in an 11.5-ounce bottle. She is at the store buying more and sees that the bottle is now bigger and has 20% more for the same price. How many ounces of shampoo are in the new bottle.

Answers

Step-by-step explanation:

100% = 11.5

20% more means 120%

120% = 100%×1.2 = 11.5×1.2 = 13.8 ounces

GIVING BRAINLIEST+30 POINTS TO BEST ANSWER!! REMEMBER, FOLLOW DIRECTIONS!!

Answers

Answer:

Step-by-step explanation:

First, you would multiply 3x4 =12

next you would keep the denominator the same

last you would divide 8 by 12 10 get 1 3/8 for your answer

Find the area of the quadrilateral

Answers

Answer:

58.58

Step-by-step explanation:

[tex] \frac{1}{2} \times 10 \times 3 \\ 5 \times 3 = 15.....(1)[/tex]

[tex] \frac{1}{2} \times 10 \times 10 \\ 5 \times 10 = 50...(2)[/tex]

Add one and two :- 15+ 50 = 65

what is the solution of this equation -12x-7=53

Answers

Answer:

x = -5

Step-by-step explanation:

You have to work backwards.

53 + 7 = 60

60 ÷ 12 = 5

Add the negative »»» -5

X= -5

Explanation: Move the constant to the right-hand side and change its sign, Add the numbers, Divide both sides of the equation by -12.

2
Evaluate w+(-2) - 5 where w =
x
5
9
and
3
11
10
4
3
Yo someone help me

Answers

Answer:

Just substitute the values in!
(-5/9) + (-4/3) - 2/3 = - 5/9 - 12/9 - 6/9 = -23/9.

write the standard form of the equation of the circle with the given center and radius. Center (2.-1), r= √3

Answers

Answer:

(x-2)^2 +  (y+1)^2 = 3

Step-by-step explanation:

That is the standard equation for a circle given h,k center and r

Power Up Test Practice
15. The table shows the money raised by each type of booth
at a craft sale. The mean amount raised per booth was $50
How much money was raised by the T-shirt booth? Explain
how you found your answer.
Martin Gai Sande

Answers

Answer: 26

Step-by-step explanation: Add all the booths together and you will get 300. You will get 300 because the t-shirts booth is $26. Now divide 300 by how many booths there are, which is six. And your mean will be 50.

hegarty maths help asap please

Answers

Answer:

10.3 cm

Step-by-step explanation:

By sine rule

[tex] \frac{x}{ \sin \: 50 \degree} = \frac{13}{ \sin \: 75 \degree} \\ \\ \implies \: x = \frac{13\sin \: 50 \degree}{\sin \: 75 \degree} \\ \\\implies \: x = \frac{9.9585777605}{0.9659258263} \\ \\ \implies \: x = 10.3098783\\\\\implies \: x = 10.3\: cm[/tex]

Kimberly has $500 and saves $50 each month. which function, f(x), can be used to determine the amount kimberly has after x months?

Answers

f(x)= 500 + 50x is the function

One side of a triangle is 5 units longer than a second side. The ray bisecting the angle formed by these sides divides the opposite side into segments that are 7 units and 9 units long. Find the perimeter of the triangle. Give your answer as a reduced fraction or exact decimal

Please explain your answer.

Answers

The perimeter of the triangle described in statement has a measure of 56 units long.

How to determine the perimeter of a triangle

After a quick though careful reading, we construct a triangle based on all information given in the statement, based on the fact that the longest segment is adjacent to the longest missing side. Since both sides have two angles with the same magnitude, then we have the following ratios:

[tex]\frac{x}{7} = \frac{x+5}{9}[/tex]   (1)

Now we solve the expression for x:

9 · x = 7 · x + 35

2 · x = 35

x = 17.5

And the perimeter of the triangle is determine by summing the three sides:

p = 9 + 7 + (17.5) + (17.5 + 5)

p = 56

The perimeter of the triangle described in statement has a measure of 56 units long. [tex]\blacksquare[/tex]

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23 Safia says,
3, 13 and 23 are all prime numbers so
all numbers that end in 3 must be prime.
Explain why she is wrong.

Answers

Wrong because there will be sometimes a number that will be dividend by three completely.

See :-

93

93/3 = 31

63

63/3 = 21

33

33/3 = 11

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Answer:

Step-by-step explanation:

We only need to find one exception  to prove that she is wrong.

One such number is 33,  which = 3 * 11 ( noit prime).

help me i need this grade but im bad at math

Answers

Answer:

B

C/15=3

Step-by-step explanation:

They devided the coconuts among 15 children

3x15 =45

45÷3 =15

So the number of coconut the kids gathered is 45

C/15=3 multiply by 15 on both side

15/1 ×c/15=3×15

C=3×15

C=45

Please Help
What is the sum of the two solutions to x^(2)+5x+6=0

Answers

Answer:x=−3

x=−2

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Hi, First begin by solving the quadratic equation

x^2 + 5x + 6

What two numbers multiply to get 6 but add to make 5? I would use 3 and 2

X^2 + 3x + 2x + 6

x(x+3) 2(x+3)

(x+2) (x+3)

X=-2

X=-3

These are your two solutions

-2 + -3 = -5

An investment account plays 3.7% annual interest compound weekly. If $370 is invested in this account, what will be the balance after 12 years?

Answers

Answer: 358

Explanation:  370 - 12 = 358

When three or more numbers are added, the sum is the same regardless of the grouping. Which property is this Associative, Commutative, or Distributive property

Answers

Associative property. Hope this helps!

Answer:

Associative property

Step-by-step explanation:

have fun

Select all ordered pairs that correspond to input-output pairs of the function y = −9x + 5
A: (-22, 3)
B: (4, 0)
C: (8, -67)
D: (6, -49)

Answers

Step-by-step explanation:

input is C and D and output is A and B

what is the value of 350 - 30(-14 + 3.5)

Answers

Answer:

665

Step-by-step explanation:

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Answer:

665

Step-by-step explanation:

350 - 30( - 14 + 3.5) ← evaluate the parenthesis

= 350 - 30( - 10.5) ← distribute parenthesis by - 30

= 350 + 315

= 665

-3/10x (-0.1) can you please help ASAP

Answers

[tex] \frac{ - 3}{10} \times ( - 0.1)[/tex]

[tex] \frac{ - 3}{10} \times \frac{ - 1}{10} [/tex]

–3 × –4

10

[tex] \frac{12}{10} [/tex]

[tex] \frac{6}{5} answer[/tex]

HOPE THIS HELPS :)

Jean listed the steps involved in the life cycle of a gymnosperm. 1 - The pollen gets stuck in a sticky liquid. 2 - Sperm from the pollen fertilize the egg in the ovule. 3 - The ovule develops into a seed. 4 - When mature, the seeds are dispersed. Which step is missing? Before step 3, the ovule develops cones. Just after step 3, the ovule develops cones. Before step 1, wind carries pollen from the male to the female cones. Just after step 1, wind carries pollen from the male to the female cones

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Just after step 3, the ovule develops cones.

A chocolatier makes chocolate bon-bons in the shape of a sphere with a diameter of 2 cm. The chocolate used in the bon-bons has a density of 1.33 g/cm^ 3 If the chocolate used costs $0.04 per gram, how much would the chocolate for 110 bon bons cost , to the nearest cent?

Answers

The total amount it would cost to make 110 bon bons given the cost per gram is $24.52.

What is the total amount it would cost to make 110 bon bons?

The first step is to determine the gram used in making the chocolate.

Gram = density x volume

Volume = 4/3πr³

4/3 x 22/7 x (2/2)³ = 4.19cm³

Gram = 4.19cm³ x 1.33 = 5.57 g

Cost of 110 bon bons = 5.57 x 0.04 x 110 = $24.52

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You create a recipe for slime by making some 20% pure slime and some 80% pure to create 100 gallons of a 65% slime mixture. How man gallons of the 20% mixture are needed

Answers

About 25 gallons of 20% mixture are needed to make the 80% mixture.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of gallons of 20% mixture needed, hence:

(20% of x) + (80% of y) = 65% of 100

0.2x + 0.8y = 65   (1)

Also:

x + y = 100    (2)

From both equations:

x = 25, y = 75

About 25 gallons of 20% mixture are needed to make the 80% mixture.

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1/(x+1) divided by 4/(x+1)+6/x

Answers

Answer:

4x/(x+1)(x2+x+6)

Step-by-step explanation:

Help due in an hour and I am confused

Answers

Answer:

48 degree

Step-by-step explanation:

Angle EFD=Angle EGD=42 degree

Angle EFG=90 degree

Angle DFG=Angle EFG- Angle EFD=90 degree-42 degree=47 degree

Answer:

m∠DFG = 48°

Step-by-step explanation:

Angles in a semicircle Theorem

The angle at the circumference in a semicircle is 90°

Therefore, if EOG is the diameter of the circle, then
m∠EDG and m∠EFG are both 90°

As the sum of the interior angles of a triangle is 180°

m∠EDG + m∠EGD + m∠DEG = 180°

⇒ 90° + 42° + m∠DEG = 180°

⇒ m∠DEG = 48°

As the angles at the circumference subtended by the same arc are equal, (i.e. angles in the same segment are equal) then
m∠DFG = m∠DEG = 48°

A city’s population is 12,800. It is predicted that the population will increase by 3% each year.
Part a: Write a function that can be used to find the city’s population after t years.
Part b: If the city’s population, p, continues to grow 3% per year, what will the approximate population be in 15 years. Round to the nearest integer.

Answers

Answer:

18,560

Step-by-step explanation:
3 percent *12800 =

(3:100)*12800 =

(3*12800):100 =

38400:100 = 384

384*15 = 5760
12800 + 5760 = 18560

Ramsey's hamster weighs less than his gerbil. His gerbil weighs 2.04 ounces. Which of the
following could be the weight of Ramsey's hamster?
O A. 1.99 ounces
O B. 2.3 ounces
OC. 2.14 ounces
O D. 2.102 ounces
6

Answers

The answer is A 1.99 ounces

Answer:

A. 1.99 ounces

Step-by-step explanation:

Ramsey's weights is less than gerbil so if gerbil weights is 2.04 so  B is 2.3 is not correct C and D are not less than Ramsey's weights so the answer is A

Nihkil surveyed 20 students at his middle school and 13 of them had at least one sibling. What percent of the students surveyed have at least one
sibling?

Answers

the answer is 65 percent

The students surveyed have at least one sibling are 65%.

What is percentage?

The word "per centum," which means "by the hundred," was used to create the phrase "percentage." The denominator of a percentage is 100, which are fractions. To put it another way, it is the relationship between parts and the whole, where the whole always has a value of 100.

Rate is characterized as a given part or sum in each hundred. The denominator is 100, and the symbol "%" denotes that it is a fraction.

Given total  student surveyed  = 20

students had at least one sibling = 13

percent of the students surveyed have at least one sibling =

(students had at least one sibling)/(total  student surveyed) x 100

percent of the students = 13/20 x 100

percent of the students =  65%

Hence 65% of students surveyed have at least one sibling.

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PLEASE HELP!!!
An athletic banquet charges a fixed fee of $500 plus $25 per person for the food. There are up to 50 guests, how much would the banquet cost for 45 and 90 guests? What is the rate of change?

Answers

Answer:

45 guests = $1,625

90 guests = $2,750

Step-by-step explanation:

(25*45)+500= 1,625

(25*90)+500=2,750

A rectangle has an area of 91.7 square inches and a base of 13.1 inches. What is the height?

Answers

Answer:

7 inches

Step-by-step explanation:

The area of a rectangle A is equal to its length times its width (or base times height if you want to put it that way.)

Since A = b*h, h = A/b. Plugging in values gives you 91.7/ 13.1 = 7 inches.

So the answer is 7 inches.

add (5y - 1) + (-2y + 4) =

Answers

Answer:

3(y+1)!

Step-by-step explanation:

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