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.
Related Questions
(03.01)
Is the following relation a function? (1 point)
O Yes
O No
Answers
Answer:
No
Step-by-step explanation:
That is not a function because it didn't pass the vertical line test
suppose another tire is rolled 100 revolutions and travels about 5027 inches what is the radius of this tire NEED THIS ANSWERED
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
This gives
C = 5027/100
Evaluate
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
Evaluate the quotient
r = 8.00
Hence, the radius of the tire is 8.00 inches
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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}
Answers
Answer:
the answer is 5,746 = c
Step-by-step explanation:
Select all ratios equivalent to 1:2.
8:16
9:18
4:6
Submit
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.
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.
A similar problem is given at https://brainly.com/question/14398287
Mrs. Reyes purchased nine books for her classroom that each cost $5.63. Using complete sentences, explain how to find the total cost of the books. Make sure your answer includes the steps of the algorithm you would use, as well as the product. HELP PLEASE i'm stuck
Answers
Answer:
5.63 x 9 = 50.67
Mrs. Reyes has spent $50.67 on books.
Rewrite the 4cm: 8km as a ratio in the form 1: n
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
Hope this helps you.
Let me know if you have any other questions :-)
From my calculations that’s the last one
Ryan made a $3000 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?
Answers
Answer:
$125 per month
Step-by-step explanation:
Tim planted a tree that was 0.17 feet tall. After 6 years, the tree was 100 times as tall as when he planted it. what is the height of the tree after 6 years?
Answers
Answer:
17 feet tall
Step-by-step explanation:
0.17 x 100 is 17
HELP ASAP ILL GIVE BRAINLIST
Solve for the measure of ∠PMR. Show your work and explain how you got your answer.
Answers
Answer:
61°
Step-by-step explanation:
We have to take the arcs at P to mean angles RPW and MPW are congruent. That means each is 58°/2 = 29°. Angle PMR is the other acute angle in right triangle PMW, so it will be the complement of 29°.
∠PMR = 90° -29° = 61°
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
Answers
Answer: D (n> 8/ 3 )
Find the measure of angle x in the figure
Answers
Step-by-step explanation:
apply angle sum property of triangle in ∆BCA
now,
x + x + 110° = 180
2x = 180 - 110 = 70
x = 70/2 = 35
x = 35°
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
there is a sale on a gallon of milk at the grocery store. The original price was $2.99 and the new sale price is $2.49. what is the percentage of decrease on the gallon of milk?round the anwser to the nearest whole percent
pls help
Answers
17 percent because the answer is 16.72 percent but when you round it up you get 17.
10. The ordered pairs (1, 2), (2, 8), (3, 18), and (4, 32) represent a function. What is a rule that represents this function? Show your work for full credit!
a.2x
b.2x+2
c.x^2
d.2x^2
Answers
Answer:
B 2x+2 I don't know whether is correct or not
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Answers
Answer:
x= (p+10)/5
Step-by-step explanation:
first you take the peaches and add 10, p+10, and then divide by 5
Answer:
(p + 10)/5
Step-by-step explanation:
2. Ms.A buys 7 boxes of snacks. Each box has 12 packets of fruit snacks and 18 packets of cashews.
How many snack packets does she buy altogether?
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
7 times 12 equals 84
7 times 18 equals 126
126 Plus 85 equals 210
the equation of a function is y=25- 3x find the value of x when y=34
Answers
34=25-3x
3x=25-24
3x=1
X=1/3
-3
Hey y’all I don’t understand, can you help me pls ASAP and show steps if u could
Answers
Answer:
(x, y) = (-2, -6)
Step-by-step explanation:
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How to divide polynomials by long division.
Answers
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:
I think of a number. I add 3 then divide it by 2. My answer is 12. Form an equation and solve it to find my number.
Answers
Answer:
21
Step-by-step explanation:
21 plus 3 equals 24 divided by 2 equals 12
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
Here the value 26 is 2.5 standard deviations above the mean (16).
x²+5x+6, x²+x-6 and x²-9 find hcf
Answers
Answer:
[tex]x {}^{2} + 5x + 6 \\ {x}^{2} + 3x + 2x + 6 \\ x(x + 3) + 2(x + 3) \\ (x + 3) (x + 2)\\ \\ ( {x}^{2} + x - 6) \\ {x}^{2} + 3x - 2x - 6 \\ x(x + 3) - 2(x + 3) \\ (x - 2)(x + 3) \\ \\ {x}^{2} - 9 \\ (x - 3)(x + 3) \\ \\ the \: hcf \: = (x + 3)[/tex]
A recipe calls for 15 cup of milk for every 28 cup of flour. If Kenny wants to double the recipe, how many cups of flour will he need?
Answers
Answer:
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
well if the recipe is 28 cups of flower, and he wants to double it, Then its 56, the milk is extrenuis info.
100 IF U GET THIS RIGHT!
Answers
Answer:
Feeling like an addict that ain't had it, up and at it in a minute
If it hadn't been invented, my limit wouldn't be infinite
I'm feeling like an infant in a womb
I'ma be here 'til the tomb
Lately I've been in my room
Lookin' and lookin' at records on the wall
Hold up
Answer:
Slope:
7
y-intercept:
(0,2/5)
Step-by-step explanation:
Help me out I need it
Answers
Answer:
27 Chairs (See below)
Step-by-step explanation:
A: You will put 9 chairs in each row, and have 3 rows.
For a visual example I will use the symbol "O" for the number of chairs.
OOOOOOOOO
OOOOOOOOO
OOOOOOOOO
B: The multiplication problem, using the information 3 Rows, and 9 Chairs in each row, is 9x3
C: The factors are the numbers you are multiplying with, and the product, is your outcome when you multiply the two factors, 9, and 3.
So your answer is 27.
Hope this helps!
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
Help plzz
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.
What is the message in the text?From the given text, we see that an aggressive chicken charged towards keith which made him scared that he ran to the gate.
Now, Robby noticed what happened and ran to keith but because he knew he was scared and wasn't easily going to open up his fears to him, he shared with him how he too can't swim in ponds as they make him nervous. He did that to show Keith that everyone has one fear or the other so that he does't feel bad.
Thus, we can say that the way that robby respond to keith confessing his fear of chickens is by sharing with him that also makes him uneasy.
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4x2 + 5x - 3x2 + 2y - 3x + 2y?
Answers
Have a great day/night
Answer:
2+2=5
Step-by-step explanation:
In an orchestra, the ratio of trombones to violas is 1 to 3. There are 9 violas. How many trombones are in the orchestra?
Answers
Answer:
3
Step-by-step explanation:
since the ratio is one to 3 there is one trombone for every 3 violas. you can find the answer by doing 9/3=3. so if there are 9 violas there are 3 trombones
Subtract 6 1/3 - 2 1/5
Answers
Answer:
4 2/15
Step-by-step explanation:
Convert both fractions to have the same denominator. Find the LCM of 3 and 5 and multiply by what you need to get there. 1x5=5, 3x5=15, so 1/3 becomes 5/15, and 1x3=3, 5x3=15, so 1/5 becomes 3/15. Finally, do normal subtraction, to get 4 2/15.