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Stolb23 [73]
2 years ago
14

Question Number 12 You are a landscaper working on the design of a parking lot in a new shopping center. You are measuring the l

ength of a grass median that will be exactly as long as four parking spots and their dividing lines. One of these spots is a handicapped spot, which is 10 116 feet wide and next to the curb. The other three spots are 8 38 feet wide. There are four dividing lines between the spots, and each measures 12 foot. What is the length of the grass median, D?
Mathematics
1 answer:
vovikov84 [41]2 years ago
7 0

Answer:

Length\: of\: D=37\frac{3}{16}  \:feet

Step-by-step explanation:

The following are the given information:

  • The handicapped spot, which is 10\frac{1}{16} feet wide and next to the curb.
  • The other three spots are 8\frac{3}{8} feet wide.
  • There are 4 dividing lines between the spots, and each measures \frac{1}{2} foot.

The Median D therefore will be a sum of the following:

  • The width of the Handicapped Spot
  • 3 X The width of the other spots
  • 4 X The width of the dividing line

= 10\frac{1}{16} + (3 X 8\frac{3}{8})+(4 X\frac{1}{2})\\=\frac{161}{16} +  \frac{3 X 67}{8}+\frac{4}{2}\\=\frac{161}{16} +  \frac{201}{8}+\frac{4}{2}\\=\frac{161+402+32}{16}\\=\frac{595}{16}\\Length\: of\: D=37\frac{3}{16}  \:feet

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In a statewide soccer competition, 36 games were played. Each team participating in the competition played once with every other
Tomtit [17]

Answer:

9 teams

Step-by-step explanation:

If the total games played was 36 and no team played each other twice, we need to ensure there isn't any double counting.

36 = (n-1) + (n-2) + (n-3) ... + (n-(n-1))

using this knowledge, we can then count up:

1+2+3+4+5+6+7+8 = 36

If our highest number is 8, then we know there must be 9 teams, because no team can play themselves.

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2 years ago
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Check each set that includes the number shown.
zavuch27 [327]

Answer:

Fourth option.

Sixth option.

Step-by-step explanation:

We know that:

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\frac{a}{b}

Where "a" and "b" are integers (b\neq 0).

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7 0
2 years ago
points P and Q lie 240 m apart in line with and on opposite sides of a communications tower. the angles of elevation to the top
Leona [35]

Answer:

The height of the tower is 130.5m

Step-by-step explanation:

In the question, we are given the following values:

The angles of elevation to the top of the tower from P = 50°

The angles of elevation to the top of the tower from Q = 45°

The angles of elevation to the top of the tower from P = 50°

Hence,cot P = 1/ tan(50°)

The angles of elevation to the top of the tower from Q = 45°

Hence, tan 45° = 1

In the question,we are told Points P and Q lie 240 m apart in line with and on opposite sides of a communications tower.

Therefore,

PQ = height of the tower( tan Q + 1/tan P)

240m = height of the tower( tan 45° + 1/ tan 50°)

240m = h(1 + 1/tan 50°)

h = (240 m)/(1 + 1/tan (50°))

h = 130.49863962 meters

Therefore, the height of the tower to the nearest tenth of a meter is 130.5 meters(m)

5 0
2 years ago
What is the lateral area of a cylinder which has an element of 8 inches and a right section with a perimeter of 24 inches?
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1 year ago
The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit
jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

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The probability distribution (pdf) of the exponential distribution is given by;

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Here, \lambda = exponential parameter

Now, the mean of the exponential distribution is given by;

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So,  22=\frac{1}{\lambda}  ⇒ \lambda=\frac{1}{22}

SO, X ~ Exp(\lambda=\frac{1}{22})  

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

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Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

        P(X < 30)  =  1 - e^{-\frac{1}{22} \times 30}

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                         =  0.7443

7 0
2 years ago
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