what is the length of the interior diagonal, d, rounded to the nearest hundredth cm​

What Is The Length Of The Interior Diagonal, D, Rounded To The Nearest Hundredth Cm

Answers

Answer 1

Answer:

The length of the diagonal, d is approximately 24.49 cm

Step-by-step explanation:

The question asks to find the length of the interior diagonal of a rectangular prism, also known as a cuboid;

The parameters of the prism are;

The height of the prism = 10 cm

The width of the prism = 10 cm

The length of the prim = 20 cm

The length of the given diagonal of the cuboid is found by Pythagoras's theorem from the height, 'h', of the cuboid and the diagonal of the base of the cuboid

Let 'l' represent the diagonal of the base of the cuboid, we have, by Pythagoras's theorem;

l² = ((20 cm)² + (10 cm)²) = 500 cm²

The length of the diagonal, 'd', by Pythagoras's theorem is given as follows;

d = √(l² + (²10 cm))

By plugging in the known value for 'l² = 500 cm²', we get;

d = √(500 cm² + (²10 cm)) = √(600 cm²) = 10·√6 cm

The length of the diagonal, d = 10·√6 cm ≈ 24.49 cm (by rounding to the nearest hundredth cm)


Related Questions

Find the value of X. Write your answer in simplest form.
X=__​

Answers

Answer:

3

Step-by-step explanation:

[tex]x {}^{2} + x {}^{2} = (3 \sqrt{2} ) {}^{2} = 18[/tex]

[tex]2x {}^{2} = 18[/tex]

[tex]x = 3[/tex]

The value of x is 3 in the triangle.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

By pythagoras theorem we find the value of x.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

x²+x²=(3√2)²

2x²=9×2

2x²=18

Divide both sides by 2

x²=9

Take square root on both sides

x=3

Hence, the value of x is 3 in the triangle.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ7

angle 1 and angle 2 are ____.

Answers

Answer:

Complementary angles

Step-by-step explanation:

When two angles get added to form 90° those two angles are called Complementary angles.

Here, <1 + <2 = 90°

Hence, both are Complementary Angles (Ans)

help me please! will give brainliested :)

Answers

Answer: [tex]y=-2x+5[/tex]

Step-by-step explanation:

First, we can take what we are given

The slope goes right 2 and down 1

The Y-intercept is (0,5)

Slope intercept form is: [tex]y=mx+b[/tex]

m is the slope

b is the y-intercept

y=-2x+5

Please help ASAP!
You buy a coke and a burger for dinner. That ratio of the cost of the burger to the coke is 3:1. The total cost of the burger and coke is $8. What is the cost of the burger?

Answers

The cost of the burger is $6

Factor
x^2+6x+5
helppp im not that smart lol

Answers

The answer would be (x+5) x (x+1)
i showed the answer in the ss hope it helps

Kristina is buying a chair that has a regular price of $349. It is on sale for 1/4 (Fraction) off the regular price. There is a 6% sales tax on the chair. What is the total cost of the chair?
A - $240.81
B - $267.75
C - $277.46
D - $330.00

Answers

Answer:

277.46

Step-by-step explanation:

a collector found a bone near former mayan territory. after careful research it has been determined that the bone lost about 15% of its carbon-14. How old is the bone?

Answers

Answer:

পার্সেন্টস সহ এই সূত্রটি মিশ্রিত হয় ...

Help with these questions would help tremendously.

Answers

Answer:

1) x = 20

2) Try it yourself based on #1

3) D. BE (it a a segment, it is on the hypotenuse, and it is adjacent to AB)

Step-by-step explanation:

I'll do the first one and you can try the second one

1) Since the two triangles are similar, corresponding parts are similar (CPSP - corresponding parts of similar polygons)

2) Since the corresponding sides are similar, [tex]\frac{AX}{AB} = \frac{XY}{BC}[/tex]

3) We know that AX is 12, AB is 20 (AX+XB=12+8 because of pwp -> part whole postulate), XY is 17, and BC is x

4) Substitute these values into the equation from step 2

[tex]\frac{12}{20} = \frac{12}{x}[/tex]

5) Cross-multiply to get 12x = 12(20)

6) Solve

12x = 240

x = 20

what are some characteristics that you can use to describe functions

Answers

Answer:

A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.

what number goes into both 40 and 24

Answers

Answer:

4 40 divided by 4 equals 10 and 24 divided by 4 equals 6

Step-by-step explanation:

step-by-step explanation: 8 goes into both but where are the answers

original: $2 new. $350​

Answers

Answer:

nice job making money I wish I could im broke

Step-by-step explanation:

Dividing by 4 also means that you are
multiplying by ____?

Answers

Answer:

4?

Step-by-step explanation:

I think.

Answer:2

Step-by-step explanation:

2 here why if you divide by 4 what equal 4? Is 2 times 2

GUYS PLEASE HELP ME RIGHT NOW THIS IS URGENT OMGGG. Way is the slope and y intercept?

Answers

Answer: Slope:4; y-intercept: (0,0)

Step-by-step explanation:

To find the slope:

1. Take two points, I'm going to take (3,12) and (2,8).

2. Put it into the slope equation: [tex]\frac{8-12}{2-3}[/tex] => [tex]\frac{-4}{1}[/tex] => 4

Slope is 4!

Find the y intercept: Its already in the table for you.

(0,0)

Have a nice day! :D

6x - 2y = 10
y = -2x + 10

Answers

Answer:

(3,4)

Step-by-step explanation:

Step-by-step explanation:

6x-2y=10

y+2x=10

2y+4x=20

6x-2y+2y+4x=10+20

10x. =30

X=3

y+2x=10

y+6=10

y=4

The length of a rectangle is 3 times the width. The perimeter is
120 meters. Find the length and width.

Answers

Answer:

is it from a text book

Step-by-step explanation:

Let L = length, W = width and P =Perimeter

L = 3W

and

P + 2(L + W) = 120

L + W = 60

Substitute

3W + W = 60

4W=60

W=60/4

W=15

L+W=60

L+15=60

L=60-15

L=45

(05.05)
What is the rate of change of the linear relationship modeled in the table? (4 points)

Answers

Answer:

-1

Step-by-step explanation:

all you gotta do is do rise over run which is just y over x so you get -1/+1 which equals -1

hope this helps!

have a good one!!

God bless you!

:)))))))))))))))))))))))

Answer:

-1

Step-by-step explanation:

Please help asap and the correct answer please its for homework

Answers

you answer will be option c

Help plzzzzzzzzz!!!!!

Answers

Answer:

x=1

Step-by-step explanation:

Next time download Microsoft math

Please help due today!!!
In your own words, explain how natural selection can lead to a change in a population's traits over time.

Answers

Step-by-step explanation:

organisms with great adaptive ability are naturally selected to remain in the environment

Answer:

Natural selection leads to evolution because the traits of those who are able to reproduce influence future generations genetics and gradually lead to these passed on traits becoming the normal state of being, thus causing the species in question to evolve.

Step-by-step explanation:

15 POINTS PLEASe ANSWER. What table contains only points that lie on the line represented by y=6x-6

Answers

Answer:

B

Step-by-step explanation:

I know it because the screen is black

In ΔPQR, the measure of ∠R=90°, the measure of ∠P=38°, and PQ = 62 feet. Find the length of RP to the nearest tenth of a foot.

Answers

Answer:

48.9 feet

Step-by-step explanation:

cos P =  Adj / Hyp = X / 62

cos 38 = X / 62

X = 48.8567 = 48.9

A hotel elevator can hold up to 2000 pounds. When 6 people get on it,
they have a combined weight of 1050 pounds. How much additional
weight can the elevator handle?

Help me pleaseeee!!!!

Answers

Answer:

The elavator can handle 950 more pounds.

Step-by-step explanation:

Since the elevator can handle 2,000 lb, and there is currently 1,050 lb on it, you have to subtract the weight that the elevator can handle from the weight that's already on it. So in other words, do 2000 - 1050.

Please like and mark brainliest!

Hope it helps!

The diameter of the the EPCOT Ball at Disney is 165 feet. Approximate
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Answers

Answer:

2352071 ft ^3

Step-by-step explanation:

formula for volume of a sphere is

V= 4/3 * [tex]\pi[/tex] * r ^3

V = 4/3 * [tex]\pi[/tex] * 82.5 ^3 = 2352071 ft ^3

Please help last question and I can get out of class

Answers

Answer:

g = 7/5 + 3r/10

Step-by-step explanation:

Brainlest plss

Like Terms or Unlike Terms: 8x + 88x +23x

Answers

Answer:

The terms are like.

Step-by-step explanation:

Like terms are terms whose variables and, if applicable, powers are the same. It doesn't matter if the coefficients are the same or not.

Since the terms have the same variable 'x', they are all like terms.

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The distance around the school track is 0.25 mile. It takes Maribeth 5.1 minutes to run 2 laps around the school track. At that pace, how long does it take Maribeth to run 1 mile?

Answers

Answer:

10.2 minutes

Step-by-step explanation:

1 lap= 1/4 mile

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PQR=/MNR. Find X.​

Answers

X=55 since the triangle is 90*

In the expression 3x-10 which would be the constant

Answers

Answer:

-10

Step-by-step explanation:

The constant is the part of the algebraic function or expression that does not change. In this case, as x changes, the constant -10 does not. Thus, -10 is the constant.

Which decimals are in order from least to greatest?
A 0.4, 0.05, 0.6
B. 0.06, 0.05, 0.4
C. 0.04, 0.5, 0.6
D. 0.06, 0.05, 0.04

Answers

Answer:

b

Step-by-step explanation:

Answer:

B. 0.06, 0.05, 0.4

Step-by-step explanation:

Use a decimal chart it can be very helpful

help me pretty please ​

Answers

Answer:

I believe its 3.4-?

Step-by-step explanation:

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