A pilot needs to know if a plane with clear the tower. The plane will travel 1300 yards before lifting off the ground to travel another 705 yards after which point the plane will be directly over the tower. If the plane had continued on the runway, it is another 700 yards to the control tower, which is 250 feet high.
Answers
Answer:
The statement that best describes how to determine if the plane clears the tower is;
Use the Pythagoras Theorem where the distance to the tower is a leg of the right triangle and the distance in the air is the hypotenuse. Find the other leg. Convert to feet to compare to the tower height
Step-by-step explanation:
The given parameters are;
The length the plane will travel before lifting = 1300 yards
The distance further the plane will travel after lifting off the ground = 705 yards
The horizontal distance from the point of lifting off the ground to control tower = 700 yards
The distance of the path of the plane after lifting off the ground, the horizontal distance from the point of lifting off the ground to control tower and the height of the control tower form a right triangle with sides given as follows;
The distance of the path of the plane after lifting off the ground = The hypotenuse side of the triangle
The horizontal distance from the point of lifting off the ground to control tower and the height of the control tower = The two legs of the right triangle
Let h, represent the height of the control tower, let x represent the horizontal distance from the point of lifting off the ground to control tower and let R represent the distance of the path of the plane after lifting off the ground, we have;
h = √(R² - x²)
We have;
R = 705 yards
x = 700 yards
∴ h = √(R² - x²) = h = √(705² - 700²) = 5·√281
The height of the control tower, h = 5·√281 yards
1 yard = 3 feet
∴ 5·√281 yards = 3 × 5·√281 feet ≈ 251.446 feet
Therefore, given that the height of the control tower = 250 feet, the plane at the height of approximately 251.446 feet clears the tower.
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Answer:
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Step-by-step explanation:
21 plus 3 equals 24 divided by 2 equals 12
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Step-by-step explanation:
An item is regularly priced at $27. It is on sale for 35% off the regular price. What would be the sale price?
Answers
Answer:
$17.55
Step-by-step explanation:
Answer:
17.55
Step-by-step explanation:
You will pay $17.55 for a item with original price of $27 when discounted 35%. In this example, if you buy an item at $27 with 35% discount, you will pay 27 - 9.45 = 17.55 dollars
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Answer:
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Answers
Answer:
61°
Step-by-step explanation:
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Suppose that a box contains one fair coin (Heads and Tails are equally likely) and one coin with Heads on each side. Suppose further that someone else selects one of the two coins at random, tosses it three times, and gets the outcome {Heads, Heads, Heads}. In this problem, you will answer the following question in several parts: What is the probability that the chosen coin was the fair coin
Answers
Using conditional probability, it is found that there is a 0.1 = 10% probability that the chosen coin was the fair coin.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Three heads.Event B: Fair coin.The probability associated with 3 heads are:
[tex]0.5^3 = 0.125[/tex] out of 0.5(fair coin).1 out of 0.5(biased).Hence:
[tex]P(A) = 0.125 + 0.5 = 0.625[/tex]
The probability of 3 heads and the fair coin is:
[tex]P(A \cap B) = 0.5(0.125) = 0.0625[/tex]
Then, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0625}{0.625} = 0.1[/tex]
0.1 = 10% probability that the chosen coin was the fair coin.
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How to divide polynomials by long division.
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Answer:
To divide two polynomials, here are the procedures: Arrange both the divisor and dividend in descending order of their degrees. Divide the 1st term of the dividend by the 1 st term of the divisor to obtain the 1st term of the quotient. Find the product of all the terms of the divisor and the 1st term quotient and subtract the dividend's answer. More items...
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
No
Step-by-step explanation:
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How does robby respond to keith confessing his fear of chickens
Answers
The way that Robby responds to Keith confessing his fear of Chickens is; by sharing that makes robby uneasy.
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Answer:
27 Chairs (See below)
Step-by-step explanation:
A: You will put 9 chairs in each row, and have 3 rows.
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Answers
34=25-3x
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Answers
Step-by-step explanation:
apply angle sum property of triangle in ∆BCA
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x + x + 110° = 180
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Answers
Answer:
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
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Answers
Answer:
8:16 and 9:18
Step-by-step explanation:
When looking at 1:2 you can see that 1 + 1 = 2 from this we can easily tell that the answer will be like this. 8 + 8 = 16 and 9 + 9 = 18 but 4 + 4 = 8 and not 6.
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Step-by-step explanation:
first you take the peaches and add 10, p+10, and then divide by 5
Answer:
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Step-by-step explanation:
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Answers
Answer:
17 feet tall
Step-by-step explanation:
0.17 x 100 is 17
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Step-by-step explanation:
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Answers
Answer:
$125 per month
Step-by-step explanation:
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Answers
Answer: 210
Explanation:
Each box has 12 packets of fruit snacks and 18 packets of cashews. That gives 12+18 = 30 packets overall per box. Since we have 7 boxes, that tells us the total count is 7*30 = 210
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Answer:
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Answers
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Step-by-step explanation:
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Answers
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Answers
Answer:
3
Step-by-step explanation:
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Answers
Answer:
5.63 x 9 = 50.67
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Answers
Answer:
8 in
Step-by-step explanation:
The radius of the tire is 8.00 inches
How to determine the radius?The given parameters are:
Revolution, r = 100
Distance, d = 5027
Start by calculating the circumference of the tire using:
C = d/r
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C = 5027/100
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C = 50.27
The circumerence of a circle is:
C = 2pi r
This gives
2pi r = 50.27
Make r th subject
r = 50.27/2pi
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r = 8.00
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Answers
Answer:
1 : 200000
Step-by-step explanation:
4 cm ⇒ 8 km
4 cm ⇒ 8 × 1000m
4cm ⇒ 8000m
4 cm ⇒ 8000 × 100 cm
4 cm ⇒ 800000cm
4 : 800000
[tex]\frac{ 4 \:\::\:\ 800000}{4}[/tex]
1 : 200000
Therefore,
1 : n
1 : 200000
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If C = C(q) is a firm's total cost function, the quantity epsilon_{c} = q/C * (dC)/(dq) is called the elasticity of cost at the output q . Discuss the relationship between marginal cost and average cost for the intervals of being higher and lower than 1 (15 points). epsilon_{c}
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Answer:
the answer is 5,746 = c
Step-by-step explanation:
uppose a normal distribution has a mean of 16 and a standard deviation of 4. A value of 26 is how many standard deviations away from the mean
Answers
Answer:
2.5 s. d.
Step-by-step explanation:
Use the formula for calculating z scores:
26 - 16
z = ------------- = 10/4 = 2.5
4
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