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

What are three consecutive even integers whose sum is 66

Answers

Answer:

21,22,23

Step-by-step explanation: i love fried chicken look at my skin color

Answer:

Smallest integer: 20

Middle integer: 22

Largest integer: 24

Step-by-step explanation:

Denote the smallest integer as "x"; hence the next integer will be "x + 2", and the third will be "x + 4".

Using the information, set up an equation:

x + x + 2 + x + 4 = 66

Simplify

x + x + 2 + x + 4 = 66

3x + 6 = 66

Inverse operations

3x + 6 = 66

    -6      -6

3x = 60

/3     /3

x = 20

Smallest integer: 20

Middle integer: 22

Largest integer: 24

What's the slope and y intercept of the graph

Answers

Answer:

A

Step-by-step explanation:

Have a great day!!!!!

This is pretty confusing please help!!!!!

Answers

True it’s true hope this helps

(-5)-6 find the different

Answers

Answer:

-11

Step-by-step explanation:

−5−6

=−5−6

=−5+−6

=−11

Hope this Helps!

___________ are reported in the business section of magazines or newspapers, as well as online.​

Answers

Answer:

The stock market values

Step-by-step explanation:

PLS GIVE BRAINLIEST

It should be noted that the stock market values are reported in the business section of magazines or newspapers, as well as online.

A stock market is also known as the equity market. It can also be called the share market. It's the aggregation of buyers and sellers of stocks.

The buyers and sellers represent the ownership claims on businesses. The stock market values are reported in the business section of magazines or newspapers, as well as online.​

Learn more about stock market on:

https://brainly.com/question/24239991

18x + 18
1
18 1
12
+18 Substitute.
+ 18
Multiply.

Answers

Answer:

18 x+18

Step-by-step explanation:

did you get a number that it is equals to caz i dont understand how you are suppose to work out 18× +18

at a candy store you get 7 giant lollipops for $16.12 how much would it cost to buy 6 lollipops?​

Answers

Answer:

$13.80

Step-by-step explanation:

Divide $16.12 by 7 which equals 2.30, then multiply 2.30 by 6 to get ^^

Mr. Barnes hired a plumber to fix a leak. The total cost, in dollars, that the plumber charges for a job can be modeled by the function p(x)= 45+35x , where x represents the time, in hours, that the plumber used to complete the job. Mr. Barnes budgeted $220 to pay the plumber for the job. After how many hours will the cost of the job exceed Mr. Barnes's budget?
WILL PICK THE BRAINLEST.

Answers

After 5 hrs not exactly 5 hrs because that’s exactly his limit

The sum of 6 times a number and 8 is 3.

Answers

Answer:

8 times 3 plus 6

Step-by-step explanation:

See the attachment....

If you have two points, you can only pick the first one to find the equation.

True

False

Answers

Answer:

well, it really depends but im pretty sure its false. you can start with either one and find the equation

Step-by-step explanation:

Anyone know the answer?

Answers

Answer:7

Step-by-step explanation: The range is the value of the difference of the highest and lowest numbers. As I can see here, the highest is 9, while the lowest is 2, so 9-2=7

what is the value of this expression below when x=3 and y =8
6x+10y ? PLEASE DONT WASTE MY TIME

Answers

Answer:

98

Step-by-step explanation:

6(3)+10(8)

=18+80

=98

PLS GIVE BRAINLIEST

I need help finding the domain

Answers

Answer: [-11,4]

Step-by-step explanation:

yes in brackets

Answer:

(-11, 4)

Step-by-step explanation:

The domain is the x values that the equation/line covers.

The line starts at -11 and ends at 4. We use parenthesis instead of brackets since the circles are open and not closed.

can someone help me with this?

Answers

Answer:

either b or d

Step-by-step explanation:

id go with d

7 (4 + 9) help ols ok jjjj

Answers

Answer:91Step-by-step explanation:7 x 4 + 7 x 9 28 + 63 = 91Hope this helps!!

Suppose that you need to buy some chicken for dinner tonight. You found an ad showing that a store across town has chicken on sale for $2.99 per pound. Your usual neighborhood store sells the same chicken for $3.79 per pound. You are considering whether it is worth the drive to purchase the chicken from the store across town. Information you will need:________
A. You need to purchase 3 pounds of chicken
B. Your neighborhood store is 2.1 miles away and takes about 8 minutes to get there
C. The store across town is 8.6 miles away and takes about 24 minutes to get there
D. Your car averages about 22 miles per gallon in the city Gas is $3.05 per gallon

Answers

Answer:

C). The store across town is 8.6 miles away and takes about 24 minutes to get there.

D). Your car averages about 22 miles per gallon in the city Gas is $3.05 per gallon.

Step-by-step explanation:

The information regarding the distance of the store across town from the house, the time required to reach there, the average of the car, and the cost of gas per gallon would assist in calculating if the extra drive is worth buying chicken from the city store.

Cost of chicken in the city store - $2.99 per pound

Average of the car in 1 gallon = 22miles

so, the average of the car in 1 mile = 1/22

Cost of traveling 8.6miles = 8/22 * $3.05

                                           = 24.40/22

Additional cost = $ 1.109

Total cost of buying chicken from the city store = $2.99 + $1.10

                                                                                = $4.09

Hence, it is not worth to buy the chicken from the store across the town as it is costlier in comparison to $3.79 in nearby store.

Please answer quick, thank you for your time.

Add or subtract. Write in simplest form.

9 4/5 - 2 3/10

11 3/4 - 4 1/3

6 3/5 - 1 2/3

14 1/6 - 7 1/3

Answers

Answer:

7 1/2

7 5/12

4 14/15  

6 5/6

Answer:

7 1/2

7 5/12

4 14/15  

6 5/6

Step-by-step explanation:

Which of these equations is NOT true?
A) 2(a + b) = a +b+a+b
C) (t-4) +6=t-10
B) 3y + 4y = 7y
D) x(5 + 9) - x = 13x

Answers

Answer:

C) (t-4) + 6=t-10

Step-by-step explanation:

2(a+b)= a+b+a+b

2(a+b)= 2a+b+b

2(a+b)=2a+2b

2(a+b) = 2(a+b)✅

(t-4)+6=t-10

t+2=t-10❌

3y+4y=7y

7y=7y✅

x(5+9)-x=13x

x(14)-x=13x

14x-x=13x

13x=13x ✅

I WILL MARK BRAINIEST

Answers

Answer:

 X=32°

 Y=122°

Z=58°

Step-by-step explanation:

 X+73°+75°=180° (interior angles of a triangle adopts to 180°)

 X=180°-148°

 X=32°

 32°+Y+26°=180°(interior angles of a triangle adopts to 180°)

 Y=180°-58°

 Y=122°

Y+Z=180(angle on straight line adopts to 180°)

Z=180°-122°

Z=58°

Answer:

x=32, y=122, z=58

Step-by-step explanation:

[tex]Lets\ consider\ the\ quadrilateral\\Angle\ 1=73\\Angle\ 2=75\\Let\ angle\ 3\ be\ w\\\ We\ observe\ that,\\26+w=180 [Linear\ Pair]\\w=180-26\\w=154\\Hence,\\w+z+73+75=360[Angle\ Sum\ Property\ of\ A\ Quadrilateral]\\z+154+73+75=360\\z+302=360\\z=58[/tex]

[tex]We\ now\ observe\ that,\\Angle\ z\ and\ Angle\ y\ form\ a\ linear\ pair\ and\ hence\ are\ supplementary.\\z+y=180\\58+y=180\\y=122[/tex]

[tex]Hence,\\As\ y,26\ and\ x\ form\ a\ triangle, \\Through\ Angle\ Sum\ Property\ of\ a\ triangle\ they\ are\ supplementary \\Hence,\\26+x+y=180\\26+x+122=180\\x+148=180\\x=32[/tex]

i need desperate help i dont care abt work

Answers

Answer:

75%

Step-by-step explanation:

add them together

solve for x.
a) 9[tex]9^{3x+4}[/tex] = [tex]27^{4x+3}[/tex]
b) [tex]4^{3x}[/tex] = [tex]2^{x+1}[/tex]

(include steps pleez)

Answers

Answer:

Question a)

[tex]9^{3x+4}=27^{4x+3}[/tex]

[tex]x=-0.166[/tex]

Question b)

[tex]4^{3x}=2^{x+1}[/tex]

[tex]x=0.2[/tex]

Step-by-step explanation:

Question a)

Given the expression

[tex]9^{3x+4}=27^{4x+3}[/tex]

Taking log on both sides

[tex]log\left(9^{3x+4}\right)=log\left(27^{4x+3}\right)[/tex]

[tex]\left(3x+4\right)\cdot \left(log\left(9\right)\right)\:=\left(4x+3\right)\cdot \left(log\left(27\right)\right)[/tex]

[tex]3x+4=\left(\frac{log\left(27\right)}{log\left(9\right)}\right)\cdot \left(4x+3\right)[/tex]

[tex]3x+4=1.5\times \left(4x+3\right)[/tex]

[tex]3x+4=6x+4.5[/tex]

[tex]3x=6x+0.5[/tex]

[tex]\frac{-3x}{-3}=\frac{0.5}{-3}[/tex]

[tex]x=-0.166[/tex]

Therefore, the value of x:

[tex]x=-0.166[/tex]

Question b)

Similarly, we can solve the 'b' expression

Given the expression

[tex]4^{3x}=2^{x+1}[/tex]

Taking log on both sides

[tex]log\left(4^{3x}\right)=log\left(2^{x+1}\right)[/tex]

[tex]3x\cdot \left(log\left(4\right)\right)=\left(x+1\right)\cdot \left(log\left(2\right)\right)[/tex]

[tex]3x=\left(\frac{log\left(2\right)}{log\left(4\right)}\right)\cdot \left(x+1\right)[/tex]

[tex]3x=0.5\times \left(x+1\right)[/tex]

[tex]3x=0.5x+0.5[/tex]

[tex]2.5x=0.5[/tex]

Divide both sides by 2.5

[tex]\frac{2.5x}{2.5}=\frac{0.5}{2.5}[/tex]

[tex]x=0.2[/tex]

Therefore, the value of x = 0.2

A machine can print 300 t shirts in 10 mins. How many t shirts can the michine print in 1 min

Answers

Answer:

It can print 30 t-shirts in one minute

Step-by-step explanation:

300÷10=30

Answer:

30 in 1 minute

Step-by-step explanation:

300/10=30

can i get brainliest?

45% of 720 feet


Plzzz heelllp

Answers

Answer:

324 feet

Step-by-step explanation:

Brainliest pls

Answer:

324

Step-by-step explanation:

You can either do 0.45·720 or make 45% into a fraction (45/100) and cross cancel with 720.

2 More Problems! 20 points! AND BRAINLIEST TO CORRECT ANSWER!

Answers

Answer:

First Screen:

1 & 3

Second Screen::A

Step-by-step explanation:

HOPE THIS HELPS!!

Sean wants to spend (example) $100 on clothing and he wants to purchase
6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
Show the solution graphically.

Point (2, 4)

Answers

Answer:

Step-by-step explanation:

Let x be the number of pants and y be the number of shirts

x + y = 6

20x + 15y = 100

multiply the first equation by -20

-20x -20y = -120

20x + 15y = 100

subtract the equations

-5y = -20

y = 4

replace y in equation 1

x + 4 = 6

x = 2

Has this app helped u​

Answers

Answer:

Discoveries and scientific and technical inventions do not influence the behavior of people, but their lives do

Step-by-step explanation: what app and ok

Yes it helped me a lot what about you?

I will give lots of points for this or.2

Answers

Answer:

Step-by-step explanation:

10+banna x orange

Answer:

Apple=10. Banana=6. Orange=6.

Step-by-step explanation:

12 + 4x – 4 = 12x – 9 – 8x

Answers

Answer:

No solution

Step-by-step explanation:

Basically the simplified equation is 17 = 0, which is wrong so there is no solution.

If the sides of a square are increased by 2 inches, the
area becomes 81 square inches. Find the length of the
sides of the original square
The length of the sides of the original square is

Answers

the length of each side is 7 inches

If you take the square root of 81 which is 9, you then subtract 2 which gives you 7

According to how squares are, all 4 sides will have the same length. which means both sides are 7

Solve: -4(3-2x) = 6(3x + 3)
Step by step ?

Answers

Answer:

distribute the -4 to the 3 and -2x in the parentheses

-12+8x

distribute the 6 to the 3x and the 18

-12+8x = 18x+18

subtract 8x from both sides

-12= 10x+18

subtract 18 from both sides

-30= 10x

divide each side by 10

x= -3

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