find the length of a diagonal AB in the rectangular prism

Find The Length Of A Diagonal AB In The Rectangular Prism

Answers

Answer 1

Hi there!

[tex]\large\boxed{AB = 32.60 in}[/tex]

Find the length of AB by finding the length of its base:

We can use sine to solve for the length of the Hypotenuse of the triangle located in the base:

sin  = O / H

sin 50° = 24 / H

h * sin 50° = 24 ----> h = 24 / (sin 50°)

h ≈ 31.33 in

Use the Pythagorean Theorem to solve for the length of the diagonal since we have solved for the base of the triangle:

c² = a² + b²

c² = 31.33² + 9²

c² = 1062.57

c ≈ 32.60 in

AB = 32.60 in


Related Questions

Find the distance between E(5,3) and F(-4,3).

Answers

Answer:

Ok I also fo not know but shall shall come to silicon valley of US So you can remember all thinks about this and tricks

Mike had to call a plumber. The plumber charged $55 for the service call plus, plus $22 for parts, and an hourly rate. He worked on the job for 3 hours. If Mike was charged $152, how much did the plumber charge per hour?
pls include the equation.

Answers

Answer: the answer is $456 and that is correct

Step-by-step explanation:

152×3= $456

90:120 ratio in the simplest form,

Answers

Step-by-step explanation:

90:120

9:12

3:4

Topic: ratio n proportions

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

Step-by-step explanation:

90 : 120

3: 4 is the simplest form

Round each fraction to the nearest whole, 1/2, or 0:
1. 1/2
12/5
2. 11/2
7/9
3. 1
4/9
4. 4
3 5/7

Answers

Answer:

1 2/5 = 1 1/2

7/9 = 1

4/9 = 1/2

3 5/7 = 4

Step-by-step explanation:

1. we must round 1 2/5

based on the answer choices we can determine that 1 1/2 is the most rational answer. This is because it is not only the only answer with the whole number, 1 but also 2/5 would round to 1/2.

2. We must round 7/9

This would round up to 1. This is because it is closest to the whole number, not 0 and not 1/2.

7 * 2 = 14

9 * 2 = 18

14/18 is only 4/18 away from being 1. This means that it would round up to 1.

3. we must round 4/9

This rounds to 1/2. If you multiply both side by 2:

4 * 2 = 8

9 * 2 = 18

8/18 for that to be 1/2 it would need 1/18. Thus this rounds up to 1/2.

4. We must round 3 5/7

5/7 would round up to a whole number.

3 + 1 = 4

Thus 3 5/7 = 4 when rounded to the nearest whole number.

Which store offers the best store
Store X:4 cans for $2.38
Store Y:5 cans for $3.00
Store Z:59 cents per can

Answers

Answer:

Store Z

Step-by-step explanation:

1 - Find out what the price per can is at each store

Store X

4 cans for $2.38

2.38price/4can(s) = price per can

Store x is $0.598/can

Store Y

5 cans for 3.00

$3.00/5

$0.60/can

Comparing these to store Z; store Z is still the better deal.

Hope this helps :)

Please this urgent! I need your help in these questions, it would be very appreciated.

Answers

Answer:

3 is continous. 4 is discrete

Step-by-step explanation:

3 houses 2 terms, therefore continuing it. 4 houses 1, stopping the graph.

I might be dumb

HELP DUE IN 5!!!!
The points in each table lie on a line. Find the slope of the line.

O -3
O -3/4
O 3/4
O None of the above

Answers

None of the above
It is -4/3

Answer:

none of the above

Step-by-step explanation:

the slope is: rise/run which equals y/x which equals -4/3

simplify (3a²b²)²+(ab)²​

Answers

Answer:

[tex]a^{2} b^{2}[/tex] (9[tex]a^{2} b^{2}[/tex] + 1)

Step-by-step explanation:

simplify (3a²b²)²+(ab)²​; for the first term, square the 3 and multiply the exponents by 2, also multiply the exponents by 2 in the second term

[tex]9a^{4} b^{4} + a^{2} b^{2}[/tex] ; factor out [tex]a^{2} b^{2}[/tex]

[tex]a^{2} b^{2}[/tex] (9[tex]a^{2} b^{2}[/tex] + 1)

(3a^2b^2) + (ab)^2 = (3a^2b^2) + (a^2b^2)
= 4a^2b^2

HELP WILL GIVE BRAINIEST AND 60 POINTS AND 5 STARS!!!! ITS DUE IN 10-15 MINUTES I NeeD the answer to this and explain why you got ur answer using math terminology or math logic

Answers

Answer:

I'm going to say the square roo of 36

Step-by-step explanation:

If you think about it the square root of 36 is 6

the square root of 21 is 4.582

1/5 is 0.2

and 2/3 is 0.66

so with that information you can conclude that the square root of 36 has a higher value than the other numbers

A city park has a large circular garden with a path around it. The diameter of the garden is 60 feet. Jason works for the City Park Department. He needs to spread plant food all over the garden. What is the area of the park he will cover with plant food?

Answers

Answer:

He will cover 2,827.433 feet² area of the park with plant food.

Step-by-step explanation:

The diameter of the garden is 60 feet and the radius will be 60 feet/2 = 30 feet.

diameter= 60 feet

radius = diameter/ 2= 60/2= 30 feet

The area of the circle can be found by the formula πr²

Area= πr²=π(30)²

 Area = 900π= 2,827.433 feet²

He will cover 2,827.433 feet² area of the park with plant food.

22. Roberto is an advertising sales representative for a magazine. He earns a commission on
his total sales each month. Last month, Roberto sold $75,000 in advertising. His commission
was $12,750. What percent does Roberto earn as commission?

Answers

Answer:

17%

Step-by-step explanation:

12,750/75,000=0.17

Which means it's 17%

Brainliest please-

Hurryyyy
Which system of linear inequalities is graphed?

Answers

Answer:

y ≥ 3x-1

x+3y ≤ 6

Step-by-step explanation:

Renee used the values in the table to calculate simple interest.

Principal $750
Interest rate ?
Time 11 years
Interest $412.50

Which interest rate is missing from Renee’s table?

0.05%

0.5%

5%

50%

Answers

Answer:

5% hope its correct

Step-by-step explanation:

The rate of Interest is 55.

What is Simple Interest?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given:

Principal= $750

Time = 11 years

Interest= $412.50

Using Simple Interest

SI= (PRT)/100

412.5 = (750 x R x 11) 100

41250 = 8250R

R= 5%

Hence, the rate of Interest is 55.

Learn more about Simple Interest here:

https://brainly.com/question/22621039

#SPJ2

Are the lines shown below parallel? Explain

Answers

Answer:

C. No, the slopes are not the same

I REALLY NEED THIS DONE RIGHT NOW
evelyn knits hats and scarves for charity. she records the time it takes and the amount of yarn needed to make one of each item. Last winter Evelyn knitted for 180 hours. She used 2,520 yards of yarn. How many hats and scarves did Evelyn knit? (it has the data)

Answers

Answer:

It is midpoint, vertex, and medians in that order.

Step-by-step explanation:

there

Answer:

[tex]Evelyn \: knit \: made \to \\ \boxed{12 }\: hats \: and \: \boxed{8 } \: scarves[/tex]

Step-by-step explanation:

[tex]let \: the \: hats \: be \to \: h \\ let \: the \: scarves \: be \to \: s \\ then \to \\ 5h + 15s = 180.....(eq .1) \\ 110h + 150s = 2,520.....(eq .2) \\ from \: .....(eq .1) \\ 15s = 180 - 5h \\ s = \frac{180 - 5h}{15} .....(eq .3) \\ equating \: .....(eq .3) \: in \: .....(eq .2) \\ 110h + 150( \frac{180 - 5h}{15} ) = 2,520 \\ 110h + 10(180 - 5h) = 2,520 \\ 110h + 1800 - 50h= 2,520 \\ 60h = 2520 - 1800 \\ 60h = 720 \\ \boxed{h = 12} \\ applying \: \boxed{h} \: in \: .....(eq .3) \\ s = \frac{180 - 5(h)}{15} \\ \\ s = \frac{180 - 5(12)}{15} \\ \\ s = \frac{120}{15} \\ \boxed{ s = 8}[/tex]

♨Rage♨

HELP ASAP DUE IN 5!!!!
The points in each table lie on a line. Find the slope of the line.

O 1/5
O 1
O 5
O None of the above

Answers

1/5 using the slope formula

Choose the best term from the box.Write it on the blank
equation
• exponent
• factor
• multiple
• power
• product

(n)__tells the number of times the base is used as a(n)__.
.
50 is a(n)___of 10 because 5 × 10 = 50

Answers

Answer:

Exponent tells the number of times the base is used as a(n) power.

50 is a(n) multiple of 10 because 5 × 10 = 50

Step-by-step explanation:

Easy and please choose mine was the most helpful. I want to get Brainliest.

Answer:

(n)_exponent_tells the number of times the base is used as a(n)_power_.

50 is a(n)__multiple_of 10 because 5 × 10 = 50

Step-by-step explanation:

exponent: This is the power to which a number is raised or the number of times it is multiplied by itself.

multiple: A Multiple of a number is that number times any whole number.

power: The number to which a base is raised is called the power. This tells you how many times to multiply the base together.

simplify: (-3x^3+2x^2+4x)-(8x^4-5x^3+6x^2-2x

Answers

Answer:

−8^4+2^3−4^2+6

Step-by-step explanation:

Distribute the - to 8x^4-5x^3+6x^2-2x:

-8x^4+5x^3-6x^2+2x

Now simplify:

-3x^3+2x^2+4x-8x^4+5x^3-6x^2+2x= −8^4+2^3−4^2+6

Hope this helps!

what is the value of this expression below when z=3
10z^2-2z-2

Answers

Answer:

82

Step-by-step explanation:

10z^2-2z-2

10x3^2-2x3-2

90-6-2

90-8

82

Answer:

82

Step-by-step explanation:

Evaluate 10z² - 2z - 2 where z = 3:

[tex] \longrightarrow [/tex] 10z² - 2z - 2 = 10 × 3² - 2 × 3 - 2

3² = 9:

[tex] \longrightarrow [/tex] 10 × 9 - 2 × 3 - 2

10 × 9 = 90:

[tex] \longrightarrow [/tex] 90 - 2 × 3 - 2

-2 × 3 = -6:

[tex] \longrightarrow [/tex] 90 - 6 - 2

90 - 6 - 2 = 90 - (6 + 2):

[tex] \longrightarrow [/tex] 90 - (6 + 2)

6 + 2 = 8:

[tex] \longrightarrow [/tex] 90 - 8

[tex] \longrightarrow [/tex] 82

You are starting a savings account for college. You put
$1,000 in as your starting balance. You earn simple
interest at 10% every year. You also must pay 30%
income tax on the interest earned annually. Calculate
the interest, balance, tax paid, and the overall balance
of the account after taxes. To break the code determine
the accounts overall balance for year 5 after taxes after
been paid.

Answers

Answer: $4,000

Step-by-step explanation:

If you have $1,000 dollars, and take ad ten percent ($100) interest you would get $1,100. But If you take away 30 percent ($300) away from 1,100 dollars you would get $800 dollars. The over all balance on the account after five years is, $4,000.

Hope this answer helps! :)

4 A baby's t-shirt requires 5 yards of fabric. How many t-shirts can be made from 48 yards?​

Answers

Answer:

9 t-shirts

Step-by-step explanation:

divide 5 by 48 you will get 9.3 but that is not what it is asking it how many t-shirts can they total

Whats the volume of 12yd 15yd and 12yds?

Answers

Answer:  2160 cubic yards

Step-by-step explanation:

12*12*15= 2160

PLEASE HELP!! PLEASE GIVE EXPLANATION!

Answers

As the months increase the money decrease
As time increases, the amount of money increases as shown by when x increases, so does y.

For part B, there is an increase of 45 dollars in the account per month.

You can find this value by calculating the change in y over the change in x. For example:

(557-467)/(8-6)

Evaluate the parenthesis and simplify:
90/2 = 45 dollars per month

16. Write the following in standard form
36505000
pls need ans. fast ​

Answers

Answer:

3.6505*10^7

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

36,505,000

Step-by-step explanation:

36505000 is 36505000 in standard form.

Will mark brainliest

Answers

2.21 is the answer :-/

2/3 of a class are girls what is ratio girls to boys in the class

Answers

Answer:

2:1

Step-by-step explanation:

2:3=1:3

as product of extremes = product of means

(2)(3):(1)(3)

6:3

2:1

Jay is 3 years less than 4 times Nelly’s age ( n ). Which expression represents Jay’s age?

Answers

Answer:

9

Step-by-step explanation: 3x4= 12  -3=9

Answer:

what's nelly's age

Step-by-step explanation:

4x divided by 3?

HURRYYYYY
Which system of linear inequalities is graphed?

Answers

I would have put C. Because if you look at the triangle it makes then do the math with squared numbers then you should get c.  

If sin t = -8/17 and t is a quadrant III angle, find cot t

Answers

Answer:cot t = 1.875

[tex]sin t=\frac{-8}{17}[/tex] but sin²t + cos²t = 1 ⇔ cos²t = 1 - sin²t

⇔cos t = [tex]\sqrt{1-sin^{2}t }=\sqrt{1-(\frac{-8}{17})^{2} }=|\frac{15}{17}|[/tex]

but  t is a quadrant III angle => cos t = [tex]\frac{-15}{17}[/tex]

=> cot t = [tex]\frac{-15}{17}:\frac{-8}{17}=\frac{15}{8}=1.875[/tex]

Step-by-step explanation:

WILL MARK BRAINLYIST IF YOU ANSWER CORRECTLY!!!!!! As water evaporates from a potted plant, its weight changes at a rate of -1 5/8ounces per day. Part A Estimate the change in the potted plant’s weight after one week. Explain your thinking. Part B Write and solve an equation using exact values to show the change in the plant’s weight after one week. Part C Explain how your estimate shows your answer is reasonable.

Answers

For part A it would be 11 3/8 ( I did the math fam ) for part b it would be y = 1 5/8x, you just substitute the x for 7 and you’d get the answer from part a, For part C you would just say that you multiplied the 1 5/8 rate by 7 to get the total amount of weight lost within that week

Now I’ll take that brainliest fam, lmk if it was right
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