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scoundrel [369]
3 years ago
7

An escalator lifts people to the second floor of a​ building, 30 above the first floor. The escalator rises at a 30 angle. To th

e nearest​ foot, how far does a person travel from the bottom to the top of the​ escalator?
Mathematics
1 answer:
hjlf3 years ago
8 0

Answer:

d=60ft

Step-by-step explanation:

From the question we are told that:

Height h= 30ft

Angle \theta=30 \textdegree

Generally the equation for Distance traveled is mathematically given by

Since

Distance traveled forms the hypotenuse of a right angle triangle

Therefore

 d=\frac{h}{sin30}

 d=\frac{30}{sin30}

 d=60ft

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For basketball tryouts, Kiana ran two laps in a total of 28.5 seconds. In the second lap, she beat her first lap by 3 seconds. W
yanalaym [24]

Answer:add 6

Step-by-step explanation:

yo have to add 5 then subtract to get answer

8 0
3 years ago
Suppose the length and width of the box in exercise 12 double. Does the surface area S double? Explain
Blizzard [7]
No, it does not.

In general, surface area is the sum of the areas of each face of a prism.  In a rectangular prism, we have length, width, and height.  

The area of the bottom of the prism and the top of the prism is the same, and can be represented as l*w.  This means that together, it is 2lw.

The area of the left and right faces of the prism is the same, and can be represented as l*h.  This means that together, it is 2lh.

The area of the front and back faces of the prism is the same, and can be represented as w*h.  This means that together, it is 2wh.

This gives us the equation

SA = 2lw+2lh+2wh

If we double the length and width, making them each 2l, we then have:

SA = 2(2l*2w) + 2(2l*h) + 2(2w*h)
      = 2(4lw) + 4lh + 4wh
      = 8lw + 4lh + 4wh

If the surface area had been doubled, we would expect 
4lw + 4lh + 4wh

No, it is not doubled.
4 0
4 years ago
A puppy weighs 9 newtons on Earth and about 2 newtons on the planet Namar. A girl weighs 400 newtons on Earth. About how many ne
serious [3.7K]

Hi there!

In order to answer your question, you'll need to use the cross product method (let's say that Newtons = N):

9N on Earth = 2N on Namar

400N on Earth = xN on Namar

(2 × 400) ÷ 9 = xN on Namar

800 ÷ 9 = xN on Namar

88.888.. = xN on Namar


Since your answer must be to the nearest Newton, I'm guessing that you need to round your answer to the nearest whole number. This means that since the number in the tenths column is more than 5 (could also be equal to 5), you need to round the number up.


88.888... rounded to the nearest whole number = 89


Your answer is: The girl weigh 89 newtons on Namar.


There you go! I really hope this helped, if there's anything just let me know! :)

4 0
4 years ago
A single card is drawn from a deck of 52 cards, find the following
aleksandr82 [10.1K]

Answer:

a. 1/13

b. 1/78

c. 1/4

d. 1/12

e. 1/6

f. 1/4

Step-by-step explanation:

First, lets write some basic data

  • There are total 52 cards.
  • 26 cards are red and 26 cards are black
  • Out of 26 red cards; 13 cards are of diamond and 13 cards are of heart
  • Out of 26 black cards; 13 cards are of spade and 13 cards are of clubs
  • In spade, clubs, heart and diamond there is one card of ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, King, Queen, Jack

<u>a. result is a queen</u>

<em>Each set has one queen; 1 of spade, 1 of clubs, 1 of heart, 1 of heart</em>

There are total 4 queens

Total number of cards is 52

<em>Probability = Number of favourable outcomes/total number of outcomes</em>

Probability = 4/52

Probability = 1/13

<u>b. result is a queen result is a face card </u>

<em>From my understanding, this question is result is a queen given that result is a face card.</em>

<em>Queen: 4 cards</em>

<em>Face card means King, Queen and Jack</em>

<em>Each set has one King, one Queen and one Jack</em>

<em>There are total 4 sets</em>

<em>Therefore, there are 4 Kings, 4 Queens and 4 Jacks</em>

<em>Face cards: 12-4 (because 4 queens have already been taken out) = 8</em>

<em>Total number of cards: 52-4 (because 4 queens have already been taken out) = 48</em>

Probability (A|B) = P(A) * P(A|B)

P(A) = result is a queen = 4/52 = 1/13

P(A|B) = result is a face card = 8/48 = 1/6

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/13 * 1/6

Probability (A|B) = 1/78 or 0.01282

<u>c. result is a heart</u>

<em>Out of the 52 cards, there are 26 red cards and out of the 26 red cards, there are 13 cards of heart</em>

Heart = 13 cards

Total number of cards = 52 cards

<em>Probability = Number of favourable outcomes/total number of outcomes</em>

Probability = 13/52

Probability = 1/4

<u>d. result is a heart | result is a red card </u>

Result is a heart = P(A) = 13/52 = 1/4

<em>Result is a red card=26/52 Total number of red cards is 26 but 13 cards (heart) are already taken out so 13 will be subtracted from the numerator and denominator</em>

= 13/39 = 1/3

Result is a heart given that result is a red card P(A|B) = 1/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1/3

Probability (A|B) = 1/12

<u>e. result is a heart result is a black card </u>

Result is a heart = P(A) = 13/52 = 1/4

<em>Result is a black card=26/52 Total number of cards is 52 but 13 cards (heart) are already taken out so 13 will be subtracted from the denominator</em>

<em>= 26/39 = 2/3</em>

Result is a heart given that result is a black card P(A|B) = 2/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 2/3 = 1/6

<u>f. result is a heart result is not a diamond</u>

Result is a heart = P(A) = 13/52 = 1/4

<em>Result is not a diamond = there are 13 diamonds in a deck so cards that are not diamond are 52-13 = 39</em>

Total cards = 52 - 13 (because hearts are already taken out) = 39

= 39/39 = 1

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1 = 1/4

!!

4 0
3 years ago
Divide.
Goshia [24]

Answer:

\frac{7}{17}

Step-by-step explanation:

(-14) ÷ (-34)

14/34

= ⁷/17

7 0
3 years ago
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