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3 years ago

11

The diagram shows the locations of John and Mark in relationship to the top of a tall building labeled A.

1 answer:

scoundrel [369]3 years ago

7 0

Given that the diagram shows the location of John and Mark in relationship to the top of the building labeled A, then:
a]
∠4 is the angle of elevation as seen by Mark from his location. It is the angle between the horizontal and the line from the object to the observer's eyes.

b]
∠3 is the angle of depression and it is congruent to the angle 5, which is the angle of elevation as seen by John from his location.

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Solve <br> 28 - K _> 7(K - 4)

Evgen [1.6K]

Answer:

Solving the inequality $28-K\geq 7(K-4)$ , we get $\mathbf{K\leq 7}$

Step-by-step explanation:

We need to solve the inequality $28-K\geq 7(K-4)$

Using the BODMAS rule, first we will solve the bracket:

$28-K\geq 7(K-4)\\28-K\geq 7K-28$

Now, we will subtract 28 from both sides

$28-K-28\geq 7K-28-28\\-K\geq 7K-56$

Subtracting -7k on both sides

$-K-7K\geq 7K-56-7K\\-8k\geq -56$

Finally, divide both sides by -8 and inverse the inequality, as we are dividing with a minus digit.

$\frac{-8K}{-8}\leq \frac{-56}{-8}\\K\leq 7$

So, solving the inequality $28-K\geq 7(K-4)$ we get $\mathbf{K\leq 7}$

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Identify the class width, class midpoints, and class boundaries for the given frequency distribution.Daily Low Tempurature Frequ

Natali [406]

Answer:

I . class width is 3

ii. Class midpoints are 33,36,39,42,45,48,51.

iii. Class boundaries are: 31.5-34.5, 34.5-37.5, 37.5-40.5, 40.5-43.5, 43.5-46.5, 46.5-49.5, 49.5-52.5

Step-by-step explanation:

I. The class width is the difference between upper class boundary and lower class boundary.

ii. Class midpoints is the summation of upper and lower class limits, divided by 2.

iii. Class boundaries is the subtraction of 0.5 from the lower classe limits and the addition of 0.5 to upper class limits.

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3 years ago

Hayley cut a 10 2/3 foot rope into pieces that are each 8/9 of a foot long. How many pieces of rope did she cut??

Ivenika [448]

The answer is 7.5 or 15/2

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3 years ago

The scheduled arrival time for a daily flight from Boston to New York is 9:30 am. Historical data show that the arrival time fol

Galina-37 [17]

Answer:

Step-by-step explanation:

Let x be a random variable representing the flight arrival time from Boston to New York.

For a uniform probability distribution, the notation is

X U(a, b) where a is the lowest value of x and b is the lowest value of x

The probability density function, f(x) = 1/(b - a)

Mean, µ = (a + b)/2

Standard deviation, σ = √(b - a)²/12

From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,

a = 0

b = 50

µ = (0 + 50)/2 = 25

σ = √(50 - 0)²/12 = 14.43

b) converting to minutes, it is 9:30 - 9:07 = 23 minutes

the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)

f(x) = 1/(50) = 0.02

P(x > 23) = (50 - 23)0.02 = 0.54

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3 years ago