A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tent
Enter your answer in the box.

A Box In The Shape Of A Rectangular Prism Has The Dimensions Shown. What Is The Length Of The Interior

Answers

Answer 1

Answer:

141.4 cm

Step-by-step explanation:

Refer to the notations in the attached photo,

AG = d

Using Pythagoras Theorem:

In triangle ABC,

AC

=[tex] \sqrt{ {60}^{2} + {80}^{2} } [/tex]

=[tex] \sqrt{3600 + 6400} [/tex]

=[tex] \sqrt{10000} [/tex]

= 100 cm

∴ AC is 100 cm.

In triangle ACG,

d

=[tex] \sqrt{ {100}^{2} + {100}^{2} } [/tex]

=[tex] \sqrt{10000 + 10000} [/tex]

=[tex] \sqrt{20000} [/tex]

= 141.4 cm (cor. to the nearest tenth)

A Box In The Shape Of A Rectangular Prism Has The Dimensions Shown. What Is The Length Of The Interior

Related Questions

The difference of two numbers is 3. Their sum is 13. Find the numbers.

Answers

Answer:

5and 8 is the correct answer

hope it helps you have a good day

What is 385,734 rounded to the nearest ten thousand?

Answers

Answer:

390,000

Brainliest?

Answer:

390,000.

Step-by-step explanation:

The ten thousand number is 8, and to the right of it is 5 so anything five and over is roundable, so 8 get rounded to 9.

Shape A,Shape B,Shape C and Shape D are nets for pyramids or prisms. Drag the name of each net to the correct container

Answers

Answer:

shape a and shape d are pyramids

b and c are prisms

The length of the sides of a triangle is given. Determine
whether or not the triangle is right, acute, or obtuse.
6, 8, 10
a Right
b Acute
Obtuse

Answers

Answer:

The triangle is a right triangle

Step-by-step explanation:

For the triangle to be right, Pythagoras’ theorem must be obeyed

According to the theorem, the square of the longest side (the hypotenuse) equals the sum of the squares of the two other sides

Now, from the given side lengths, the highest value is 10;

squaring this, we have 10^2 = 100

Squaring and adding the other values, we have

6^2 + 8^2 = 36 + 64 = 100

This mean the values are equal and the Pythagoras’ theorem is obeyed

Hence, we can conclude that the triangle with the given side lengths is a right triangle

PLEASE HELP
I WILL MARK BRAINLIEST♡

Can someone help me find the surface area?​

Answers

Answer:

152in !!! hope this helps :D

Step-by-step explanation:

side 1: 40in + side 2: 40in + bottom side:  24in + triangle side 1: 24in + triangle side 2: 24in

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Positive correlation. But the graph does not imply causality.

Positive correlation, because days where more batteries were sold, they also sold more CDs.

There is not causality, because selling more batteries does not automatically mean they will sell more CDs.

Answer:

B

Step-by-step explanation:

It is a positive correlation and it has a causation

to make a sports drink for a football team, jaylen filled 9/10 of a large cooler with water. then he filled the remaning space with 6 cups of sports drink concentrate.
How many gallons of sports drink did Jaylen make?

Answers

Hello!

Assuming that we are using U.S. terms, there are sixteen cups in a gallon.

We can assume that there are six cups per tenth of the cooler. Our first job is to multiply 6 times 10 to get the amount of cups of sports drink.

6 · 10 = 60.

Now we need to find out how many gallons of sports drinks there are. To find how many cups go into a gallon, we divided 60 by 16.

60 ÷ 16 = 3.75

So, for our final answer,

Jaylen made 3.75 gallons of sports drink. (3 [tex]\frac{3}{4}[/tex])

waffletowne

Solve it please and show work! 30 CREDITS.

Answers

Answer:

D

Step-by-step explanation:

HELP ME PLEASE ANSWER THE QUESTION CORRECTLY

Answers

Answer:

$4,499.46

Step-by-step explanation:

after year 1 $4160, after Year 2 $4326.40, after 3 years $4499.46

Will give brainliest to first right answer!!!!!!

Answers

Answer:

It is False

Hey bro Good Luck for exams!

Step-by-step explanation:

I think it's answer is false

I don’t know this ppl I need help lol

Answers

Answer:

15

Step-by-step explanation:

Sophia has $6,000 to invest. She is considering two investment options. Option A pays 2.2% simple interest. Option B pays 2% interest compounded annually. Use the drop-down menus below to choose which option is the best choice for Sophia for each number of years.

Answers

Answer:

Option A and option B

Step-by-step explanation:

Given that

Sophia wants to invest $6,000

There are two investment options

Option A pays 2.2% simple interest

and, Option B pays 2% interest compounded annually

Now we need to find out which option is the best choice

In the case when Sophia wants to invest for 10 years, so she should select

option A as the investment will have highest value.

In the case when Sophia wants to invest for 20 years, so she should select

option B as the investment will have highest value.

A water bottle in the shape of a cylinder holds 1 litre of water when it's full. It's height is 15cm. Work out the radius of the water bottle (1litre=1000cm3)

Answers

Answer: 4.6 cm

Step-by-step explanation:

Given

Volume of water [tex]V=1\ L\ \text{or}\ 1000\ cm^3[/tex]

The height of the water is [tex]h=15\ cm[/tex]

The volume of the cylinder is [tex]\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow 1000=\pi (r^2)15\\\\\Rightarrow r^2=\dfrac{1000}{3.142\times 15}\\\\\Rightarrow r^2=\dfrac{1000}{47.13}\\\\\Rightarrow r^2=21.217\\\Rightarrow r=4.6\ cm[/tex]

X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to the left of 8.52.

Answers

Answer:

7

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

.

P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7

What is the value of y when x = 0?

Answers

Answer:

0

Step-by-step explanation:

I am not sure you included the full question, but if it is a multiplication problem, the answer is 0.

0 is the answer bc that was all the info given

what is the area of the figure below?
35
41
46
51

Answers

46 is the correct answer

Choose the measure that best represents the data. Explain your reasoning.

12, 15, 16, 18, 20, 90

Answers

The measure that would best represent the data set is 17. This because 17 is the mid range number making it not the smallest but not the biggest
Hope this helps!

A coin is flipped 8 times. Find the probability of the event: exactly 3 heads​

Answers

Answer:

The probability of the coin landing on heads 3 out of 8 times is 0.22, but the closest thing to that is 0.219.

Answer:

Step-by-step explanation:

The answer is exactly 0.219

You have 8 objects and you want to choose 3 of them. 8 Choose 3 looks like

8 * 7 * 6 / 3!

3! = 6

So the answer is 8*7 = 56

There are 2^8 = 256 ways you can throw either heads or tails.

The number of successes = 56/256 = 0.219 The nine is rounded.

Can someone pleaseeee help and if you’re correct i’ll give brainlist

Answers

A cube has 6 equal faces and 8 vertices and 12 edges

Can someone help me I don’t quite understand ILL GIVE BRAINLY to whoever is right

Answers

Answer:

it is C if I am not mistkin

HELP I HAVE 5 MIN
what is x?

Answers

Answer:

x = 42

Step-by-step explanation:

i hope this helps :)

Hester sells televisions. She earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. If Hester sells 18 televisions with extended​ warranties, she earns $1,350. How much is the fixed amount Hester earns for each​ television?
The fixed amount Hester earns for each television she sells is what?

Answers

Answer:its 70 i did it on savas

Step-by-step explanation:

The current temperature is 48F. It is expected to drop 1.5F each hour. Determine how many hours the temperature will be 36 F.

Answers

Answer: 6 hours

Step-by-step explanation:

48/6 = 8

36/6 = 6

PLEAAEEEEEE HELP! CORRECT ANSWER GETS BRAINLIEST URGET!!

Answers

Answer:

Graph F

Step-by-step explanation:

Given

x + 3 < 7 ( subtract 3 from both sides )

x < 4

Since x is less than 4 then this is indicated by an open circle at 4 on the number line with the arrow pointing to the left as shown on graph F

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

no the quadrilateral isn't a parallelogram

Step-by-step explanation:

For it to be a parallelogram, the opposite sides must be parallel to each other and in this case it's not.

17 and 18 please no links

Answers

Answer:

17) 135 degrees

Step-by-step explanation:

An octagon contains six triangle, or 1080 degrees, meaning each angle is 135 degrees.

Step-by-step explanation:

1. an octagon contain 6 triangles or 1080 degrees this means with 8 angles each angle is 135 degrees

Can anybody help me?​

Answers

Answer:

im literally doing the same question , i hope someone helps us .  

Step-by-step explanation:

Answer:

G (0,5) i think

Step-by-step explanation:

HELP ASAP PLEASE!!!!!! No links! Explanation please!!! Brainliest to whoever answers first!

Answers

I believe the answer would be 54. I could of course be wrong so if I am, please correct me

PLEASE HELP ME!!!!! #4,5!!!!

Answers

The answer for question 4:
a) 3(3n-1)=9n-3
b) 9n-3=96
9n=96+3
9n=99
n=11

Answer:

4a) 9n - 3

4b) n = 11

Step-by-step explanation:

3(3n - 1)

9n - 3

9n - 3 = 96

9n - 3 + 3 = 96 + 3

9n = 99

9n ÷ 9 = 99 ÷ 9

n = 11

What is the parent equation for exponential growth and decay?

Answers

Answer:

Doing so allows you to really see the growth or decay of what you're dealing with. The basic parent function of any exponential function is f(x) = bx, where b is the base. Using the x and y values from this table, you simply plot the coordinates to get the graphs.

Step-by-step explanation:

Answer:

A = P x r^t

Step-by-step explanation:

A = Amount (e.g. number of organisms in population after certain period of time)

P = Principal/ Initial Value (e.g. the starting population)

r = rate as a decimal (e.g. if a population increases over certain period of time by 20%, r would equal 1.2)

t = time in whichever units you need.

Example of problem using formula:

A population of 2000 decreases by 20% every year, find the population size after 5 years.

A = ?

P = 2000

r = 0.8

t = 5

A = Pxr^t

A = 2000 x 0.8^5

A = 655.36

Hope this helped!

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