A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp

A Lamp Points Toward The Base Of A Doorway As Shown Below, What Is The Height, In Feet, Of The Lamp

Answers

Answer 1

Answer: [tex]40\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x

we need to figure out X

we also know that the leg opposite 60 is = 120

[tex]120=x\sqrt{3}[/tex]

square everything

[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]


Related Questions

if virginia's sales tax rate is 4.3%, what is the total cost of a $34 virgina tech t-shirt?

Answers

It would be 4.2% -‘jzjsjehwjdjdjekslsjsbsnsjzjzjsjsnzsjsjnsnsns SNSJSJ

Answer:

35.46

Step-by-step explanation:

34 x 1.043=35.46

A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a spade, the second card drawn is a heart, and the third card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.​

Answers

Answer:

The probability of the given scenario occuring is about 0.0153.

Step-by-step explanation:

A standard deck contains 52 cards.

We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.

So, the probability that the first card is a spade is 13/52 or simply 1/4.

Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.

This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.

Now that we've drawn two cards without replacing them, the total number of cards left is 50.

And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.

Then the probability of the third card being hearts will be 12/50 or 6/25.

Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:

[tex]\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153[/tex]

The probability of the given scenario occuring is about 0.0153.

Robin can clean 727272 rooms in 666 days.
How many rooms can Robin clean in 999 days?
rooms

Answers

Answer:

1090908 rooms

Step-by-step explanation:

calculator

Answer:

Robin can clean 9828 rooms in 9 days

Step-by-step explanation:

Since Robin can clean 727272 rooms in 666 days, we can find how many rooms she can clean in 1 day by dividing 727272 by 666

number of rooms cleaned by Robin in 1 day = 727272 rooms/666 days = 1092 rooms/day

We can then find how many rooms she can clean in 9 days by multiplying 1092 by 9

1092 rooms/day * 9 days = 9829 rooms

Find the circumference and area of a circle A with a diameter of 26 inches.
Please I need the answer ASAP. Thank you very much.

Answers

Answer:

Circumference: 81.681 in; Area: 530.929 in

Step-by-step explanation:

To find circumference we use the formula pi x diameter. Which in this case is pi x 26 in, or approximately 81.681 in.

For the area, we use pi x r^2. r = 1/2 d, so r = 13in. Therefore, the area is equal to 169 x pi in, which is about 530.929 in.

Tell whether each kind of angle is Right, Acute or Obtuse angle. Write your answer inside the box.​

Answers

Answer:

1. Right Angle

2. Acute Angle

3. Acute Angle

4. Obtuse Angle

5. Right Angle

Step-by-step explanation:

Please mark as brainliest

I cannot see the picture clearly enough but Hope this helps
90 degrees = right angle
Less than 90 is acute
More than 90 is obtuse

PLEASE HELP ME !!
acellus : chords and arcs find the value of x

Answers

Answer:

8

Step-by-step explanation:

since all the sides are equal then that means that x is going to equal 8.

PLEASE HELP I NEED TO FINISH THIS NOW!!!
Gethyn drinks 48 fluid ounces of water in one day. He needs to drink 8 cups in total. How many more cups does he need to drink? (4 points) Group of answer choices 2 cups 6 cups 384 cups 768 cups

Answers

Answer:

The answer is 6

Step-by-step explanation:

Since you have to divvied 40 to 8 witch gives you 6

HURRY PLS 7TH GRADE MATH I NEED HELP I HAVE LESS THAN 5 MINS TO DO THIS

Answers

Answer:

35 = 8 + x + x + x + x + x +x

35 = 8 + 6x

6x + 8 = 35

35 - 8 = 6x

Step-by-step explanation:

hope this helps:)

Find an ordered pair (x,y) that is a solution to the equation.
5x+y=6

Answers

Answer:

(0,6) and (1.2 , 0)

Step-by-step explanation:

5x + y = 6

if we take x=0

5(0) + y = 6

y = 6            ; so, one of the solution is (0,6)

if we take y=0

5x + (0) = 6

5x = 6

x = 6/5 = 1.2     ; so, the other solution is (1.2 , 0)

But basically, you can find other solutions of the equation if you do this:

5x + y = 6

5x = (6 - y)

x = (6 - y) / 5    ; so if you use whatever number of y, you will find the rigth solution for x.

and you can do the opposite too:

5x + y = 6

y = 6 -5x       ; with this, you can use whatever number of x, and find the right y.

I hope this helps you!!!

Maria had 4 full cement blocks and one that was 5/9 the normal size if each full block weighed 3 8/9 pounds what is the weight of the blocks maria has

Answers

Answer:

17 and 58 over 81 pounds

Step-by-step explanation:

5(x+8)
Help please!!!!!!!!!!!!!!!!!!

Answers

Answer:

5x+40

Step-by-step explanation:

You would distribute 5 to x+8 and that would add up to 5x+40.

Answer:

Step-by-step explanation:

5x+40

Someone help plzzzzz



Jack bought an automatic water bottle feeder for his cat. A
diagram of the bottle is shown below. What is the maximum
amount of water that the bottle can hold?
Hon
8.5 in
12.5
I

Answers

The maximum amount of water that the bottle can hold is 2251.77 cubic inches.

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the maximum amount of water that the bottle can hold, we need to find the volume of the bottle.

The bottle is in the shape of a cylinder with a height of 12.5 inches and a radius of 8.5/2 = 4.25 inches.

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Substituting the values, we get:

V = π(4.25)²(12.5)

V = 2251.77 cubic inches

Therefore, the maximum amount of water that the bottle can hold is 2251.77 cubic inches.

To know more about volume visit :

https://brainly.com/question/463363

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Which represents the polynomial written in standard form

Answers

Answer:

The answer is the third option

Step-by-step explanation:

i can’t help you but i just need you to ❤️ my answer so i can get my question answered

65+ ? -15=65 Find missing number

Answers

Answer:

65 + 15 - 15 =65

Step-by-step explanation:

pls give brainlist if this was helpful ^^

If a product of three numbers is 3150, two of the numbers are 14,15. Find the third number

Answers

Answer:

15

proof on pic......................

When you buy something with a credit card, which one of the following will usually save you money over the long run? A. Paying the entire amount owed each month B. Paying a small portion of the amount owed over a longer period of time C. Paying a small portion of the amount owed each month D. Paying the entire amount owed, but only every other month​

Answers

Answer:

A. Paying the entire amount owed each month

Step-by-step explanation:

When we buy something with a credit card option C usually save you money over the long run.

What is credit card?

A credit card represents a payment mechanism which facilitates both consumer and commercial business transactions, including purchases and cash advances. A credit card generally operates as a substitute for cash or a check and most often provides an unsecured revolving line of credit.

A.  Paying the entire amount owed each month

 This option is better when you don't have money and you have to manage it.

B. Paying a small portion of the amount owed over a longer period of time.

this option is not applicable

C. Paying a small portion of the amount owed each month.

This option gives more money savings if there is no interest.

D.  Paying the entire amount owed, but only every other month​.

This is also a money saving if there is no interest.

Thus when we buy something with a credit card option C usually save you money over the long run.

To know more about credit card click here

https://brainly.com/question/3685635

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Will give brainliest!!

Two lines, A and B, are represented by the following equations:

Line A: 4x + 4y = 16
Line B: x + y = 4

Which statement is true about the solution to the set of equations? (4 points)

Group of answer choices

A) It is (1, 2).

B) It is (1, 5).

C) There are infinitely many solutions.

D) There is no solution.

Answers

Answer:

Infitite solutions (C)

Step-by-step explanation:

They are the same line.

4
Select the correct answer
Erin is taking part in a play at the community theater. The cast and crew ordered T-shirts for all the volunteers. The cost of a T-shirt is $8, and the
total delivery charge is $45 per order. If the center has no more than $325 to buy T-shirts, how many T-shirts can they buy?

Answers

Answer:

The answer is B

Step-by-step explanation:

a/5=b/7 if b#0 what is the value of a/b​

Answers

Answer:

A = 20

b = 28

Step-by-step explanation:

a = 20/5 = 4

b = 28/7 = 4

In a study of the relationship between pet ownership and physical activity in older adults, 586 subjects reported that they owned a pet, while 1931 reported that they did not. Give a 98% confidence interval for the proportion of older adults in this population who are pet owners. Lower limit Incorrect: Your answer is incorrect. Upper limit

Answers

Answer:

Step-by-step explanation:

In a study of the relationship between pet ownership and physical activity in older adults, 586 subjects reported that they owned a pet, while 1931 reported that they did not. Give a 98% confidence interval for the proportion of older adults in this population who are pet owners. Lower limit Incorrect: Your answer is incorrect. Upper limit

p ± z × (1 - p/n)

z = 98%

p = 586/1931

= 0.3034697048

n = 1931

Approximately = 0.3035

Confidence interval =

0.3035 + 2.326 × ( 1 - 0.3035/ 1931)

Which of the following rules best describes the matrix below
a. dilation of scale factor 2
b. reflection over the y-axis
c. reflection over the line y = x
d. translation 1 unit left and 1 unit up

Answers

Answer: D

Step-by-step explanation:

d. translation 1 unit left & 1 unit up

right on edg

Plastic parts manufactured using an injection molding process may exhibit one or more defects, including sinks, scratches, black spots, and son on. Let x represent the number of defects on a single part, and suppose the distribution of x is as follows: x: 0 1 2 3 4 p(x): 0.79 0.09 0.05 0.04 0.03 What is the expected value, E(X), for the number of defects on a randomly selected plastic part

Answers

Answer:

The expected value for the number of defects on a randomly selected plastic part is 0.43.

Step-by-step explanation:

We have the following probability distribution:

P(X = 0) = 0.79

P(X = 1) = 0.09

P(X = 2) = 0.05

P(X = 3) = 0.04

P(X = 4) = 0.03

What is the expected value, E(X), for the number of defects on a randomly selected plastic part?

Each value multiplied by its probability. So

[tex]E(X) = 0.79*0 + 0.09*1 + 0.05*2 + 0.04*3 + 0.03*4 = 0.43[/tex]

The expected value for the number of defects on a randomly selected plastic part is 0.43.

Please find the area of the compound figures. PLEASE AND THANKS :D

Answers

Answer:

1200

Step-by-step explanation:

Which equation best represents the relationship
between x and y in the graph?
PLEASE FOR BRAINLSIT!!!!

Answers

The answer is C.) Y = 1/4x + 3

13 points Please help 8th grade math

Answers

Answer:

4.2

Step-by-step explanation:

Answer:

Volume of the sphere is 2065.24

I have no idea how to calculate the slope of that.

Step-by-step explanation:

3·π·7.93≈2065.23693

A skyscraper is 807 feet tall. Each floor is about 12 feet tall. About how many floors de building have? Select the correct answer below and fill in the answer box to complete your choice. OA. You need an estimate: 800-10 = floors OB. You need an exact answer, 807 - 12 = floors C. You need an estimate: 1000-20 = floors OD. You need an estimate: 500- 25 = floors.

Answers

Answer:

D

Step-by-step explanation:

807 divided by 12 = 67.25

A sequence can be generated by using an=12an−1, where n is a whole number greater than or equal to 1.

Given a9=12, what is a10?

5
6
13
24

Answers

Answer:

8, 11, 14, 17

Step-by-step explanation:

For example,

Given: an=2an−1−xan=2an−1−x

a5=99a5=99

a3=27a3=27

a5=2a4−x=2(2a3−x)−x=4a3−3x=99a5=2a4−x=2(2a3−x)−x=4a3−3x=99

4(27)−3x=994(27)−3x=993x=108−99=93x=108−99=9

x=3x=3

-0.5
0
1
-2
1.5
Where is Point D on the number line?
?

Answers

Answer:

Its -1.9 for where point D is

-1.9 is where Point D is

ohn needs to serve some beer to a customer. At first he ordered 1 pint then he added 4 ounces more, then he decided to add 1/4 tablespoons more. John only has measuring cups which got him a bit confused. How many cups he needs to serve the customer to make it up to his order?​

Answers

Answer:

the answer to this question 2 cups

Step-by-step explanation:

2 cups is equal to a pint

A bike store sells scooters at a 54% markup. If the store bought each scooter for $29.25, what is the resale price to the nearest dollar? Show your work

Answers

9514 1404 393

Answer:

  $45

Step-by-step explanation:

The relation is ...

  resale price = cost + markup

  = cost + 0.54×cost

  = 1.54×cost

Then the resale price is ...

  resale price = 1.54×29.25 = 45.045 ≈ 45.00

The resale price is $45.00.

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