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.
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.
I will give brainliest if applicable
The Boeing 747-8 Intercontinental Jet can carry approximately 422,000 gallons of gasoline, making it possible for the jet to travel 14,430 kilometers before needing to refuel.
CREATE A LINEAR MODEL that represents the amount of gasoline on the plane, in gallons, as a function of the flight time, in hours. Show all of your work.
Answer:
The average is exactly 26,375 gallons of gas per hour.
How I found this is buy subtracting each numbers like 422,000 - 369,250 = 52,750. 369,250 - 316,500 = 52, 750 and so on. They all ended up being 52,750, but then I realized that they are all 2 hours apart and the question asks of gallons of gas per 1 hour so then I divided 52,750 in half and got my final answer, 26,375.
Step-by-step explanation:
This is how much gas the jet uses per 1 hour
my question doesn't ask me to create a linear model but it asks for gasoline per hour, and it's just like this question with the same graph so if you have the same as me this is the answer.
What does "?" equal?
Answer:320
Step-by-step explanation:
Geometry problem, Name the angle pair relationship and then determine which lines must be parallel based on the angles given If they do not prove lines parallel, write none.
Answer:
see below
Step-by-step explanation:
a) 1 = 4 they are corresponding angles when j and k are parallel
b) 3 + 4 = 180 these just lies on same straight line and they add up to 180 so none
c) 5 + 7 = 180 are consecutive interior angles when k and l are parallel
d) 6 = 7 they are alternate interior angles when k and l are parallel
and refer this link for theory on this topic
https://www.ixl.com/math/lessons/transversals-of-parallel-lines
PLEASE HELP ME 20 POINTS
Determine the x- and y-intercepts of the graph of X-4y=8
Answer:
x- intercept = 8 , y- intercept = - 2
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
x - 4(0) = 8
x - 0 = x
x = 8 ← x- intercept
To find the y- intercept, let x = 0 in the equation and solve for y
0 - 4y = 8
- 4y = 8 ( divide both sides by - 4 )
y = - 2 ← y- intercept
1.Mr. Redding sells vehicles to 40% of the people that come to the sales lot. If 165 people came to the lot last month, how many vehicles did he sell?
Can y’all help me put these in order from least to greatest
7/9
2/6
9/10
Please
And thank you ️
Answer:
2/6 < 7/9 < 9/10
Step-by-step explanation:
Find the slope for this table.
Answer:
-1/5
Step-by-step explanation:
if you look at the table, you can see that for every 5 units of x, y goes down 1 unit. slope= rise/run so the slope is -1/5
Answer:
slope=-1/5
Step-by-step explanation:
Use slope formula to get 4-5/0-(-5) which is -1/5, so out slope is -1/5
Find the slope of a line that passes through each pair of points.
(0, 1) (2, 7) 2) (4, 5) (1, 1) 3) (1, -2) (4, 7)
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
(0, 1) (2, 7)
x changes by +2 (from 0 to 2)
y changes by +6 (from 1 to 7)
the slope is +6/+2 = 6/2 = 3
(4, 5) (1, 1)
x changes by -3 (from 4 to 1)
y changes by -4 (from 5 to 1)
the slope is -4/-3 = 4/3
(1, -2) (4, 7)
x changes by +3 (from 1 to 4)
y changes by +9 (from -2 to 7)
the slope is +3/+9 = 3/9 = 1/3
Convert an area 75000m2 to hectares
Answer:
10000m2 =1 hectare
75000m2 = 75000/10000 hectares
=75/10hectares
=7.5hectares
note:1 hectare =10 000m2
Hope this helps!!Find the surface area. Please help!! I need it quick
Answer:
This is a right trapezoidal prism.
To find the total surface area,
First we have to find the area of the 2 trapezoids.
Let us find now.
[tex]Area=2*\frac{1}{2} (a+b)*h[/tex]
[tex]Area=2*\frac{1}{2} (1.4+2.3)*1.9\\[/tex]
[tex]Area=3.7*1.9[/tex]
[tex]Area = 7.03m^{2}[/tex]
Now you have to find the areas of the 3 rectrangles.
Let us find now.
(4.8 × 2.1) + ( 4.8 × 2.3)+ ( 1.9 × 4.8)
10.08 m² + 11.04 m² + 9.12 m²
= 30.24 m²
Now let us find the total surface area of this solid.
7.03 m² + 30.24 m²
= 37.27 m²
hey does anyone know the answer to this equation
Answer:
it is D
UR WELCOME
Answer:
C
Step-by-step explanation:
Substitute the values of x into y and evaluate , that is
x = - 27 → y = [tex]\sqrt[3]{-27}[/tex] = - 3
x = 0 → y = [tex]\sqrt[3]{0}[/tex] = 0
x = 27 → y = [tex]\sqrt[3]{27}[/tex] = 3
The values of y that complete the table are
- 3, 0, 3 → C
Complete the statement ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment for question
Answer:
DEF
Step-by-step explanation:
If you turn it and line it up with C on D, B on E, and A on F, the similar line symbols match.
Solve for y.
y − 25 = 11
y =
ANSWER :
y - 25 = 11
y = 25 + 11
y = 36
Answer:
y = 36
Step-by-step explanation:
y - 25 = 11y = 11 + 25y = 36an item is regularly priced at $20. It is on sale for 70% off the regular price. What is the sale price?
Answer:
6 dollars
Step-by-step explanation:
Hope this helps. :))
im stuck on this problem can someone help me? (see photo)
Answer:
I'm thinking the anwer is B
Step-by-step explanation:
I remember doing this problem before :)
A store sells 4 cans of soup for $9. How much would it cost you to buy 5 cans of soup?
Answer:
$11.25
Step-by-step explanation:
4 x 5 = 20
9 x 5 = 45
20/4 = 5
45/5 = 11.25
The claim is that for 10 am body temp of males the mean is less than 98.6 f the sample size is n = 38 and the test statistic is t=-3.768
Answer:
See below
Step-by-step explanation:
The null hypothesis would be [tex]H_o:\mu\leq98.6[/tex] which would suggest the claim that the mean body temperature for males is equal to or less than 98.6°
The alternate hypothesis would be [tex]H_1:\mu>98.6[/tex] which would suggest that the mean body temperature for males is greater than 98.6°
The test statistic, t, is given to us as [tex]t=-3.77[/tex], rounded to 2 decimal places
We can determine the p-value by calculating tcdf(-1e99,-3.77,37). This means that we are finding the area less than the t-statistic with degrees of freedom equal to df=n-1=38-1=37. Therefore, the p-value is 0.000285 when evaluated.
Therefore, because our p-value is less than our significance level of α=0.01, there is no sufficient evidence to prove that the claim that for 10 AM body temperatures for males, the mean is less than 98.6°F, is true. We reject the null hypothesis, in other words, because the p-value suggests that it's unlikely that the null hypothesis is true.
The null hypothesis is rejected since the p-value shows that it is unlikely to be true.
What is the hypothesis?In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.
As per the given question, the required solution would be as:
A) Hypothesis test :
The null and alternative hypothesis is
Hi : u = 98.6
Ha : u < 98.6
B) Test statistic is t = -3.831
C) sample size, n= 31
degree of freedom,
df = n -1 = 31 - 1 = 30
P-value = p(t < -3.831 )
= 0.0003 (from t table)
d) P-value < 0.10, reject the null hypothesis.
is, support
As a result, because our p-value is less than our significance level of =0.01, there is insufficient evidence to support the assertion that the mean body temperature for men at 10 AM is less than 98.6°F.
Thus, we reject the null hypothesis since the p-value shows that it is unlikely to be true.
To learn more about the hypothesis click here:
https://brainly.com/question/18064632
#SPJ2
help me too with this one PLEASE
Answer: -___-
Step-by-step explanation:
Write 456 in expanded notation using powers of 10
Answer:
400+50+6
Step-by-step explanation:
456 means 400+50+6
Determine if y=3⋅2z+12 is linear, quadratic, or exponential.
Answer:
Exponential
Step-by-step explanation:
2z
Please help me The point D,E,F and G all lie on the same segment, in that order, such that ratio of DE:EF:FG is equal to 4:1:4. If DG=36, find EG
Answer:
4+1+4+g=36
g=27
dg=32
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
DE : EF : FG = 4 : 1 : 4
DG = 36
DG = DE + EF + FG
-> 4x + x + 4x = 36
9x = 36
x = 4
so EG = EF + FG
= x + 4x
= 5x
= 20
Please answer this. I need and will give
Rewrite the following equation in slope-intercept form.
y − 3 = 12( x + 4)
Answer:
y=12x+51
Step-by-step explanation:
What is the perimeter, in meters (m), of ∆PRT?
The perimeter of a triangle is the sum of its dimensions
The perimeter of triangle PRT is 36 meters
Start by calculating the side length PT using the following equivalent ratios
[tex]\mathbf{QR : QS = PR :PT}[/tex]
So, we have:
[tex]\mathbf{3 : 8 = 6 :PT}[/tex]
Multiply 3 : 8 by 2
[tex]\mathbf{6 : 16 = 6 :PT}[/tex]
By comparing the ratios, we have:
[tex]\mathbf{PT = 16}[/tex]
So, the perimeter of triangle PRT is calculated using:
[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]
Substitute values for PR, RT and PT
[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]
Add up the figures
[tex]\mathbf{Perimeter = 36}[/tex]
Hence, the perimeter of triangle PRT is 36 meters
Read more about perimeters at:
https://brainly.com/question/6465134
opposite reciprocal of 1/3
Answer:
-1/3
Step-by-step explanation:
hope this helps
given:3(x-5)+1=10 prove:x=8
Answer:
x=8
Step-by-step explanation:
3x-15+1=10
3x=10+15-1
3x=24
x=24/3=8
easy
need 8&9 urgently!!!
Answer:
8.x=7
7.x=12
Step-by-step explanation:
8.The two Base angles are equal
7. The exterior(outside) angle is equal to the sum of the two interior(inside) angles.
halp me please and explain
Answer:
-2×2+1/2×(-1×3+2/3)
-3/2×(-1/3)
3/6
Solve for x
5x – 1 < 2
Give your answer as a fraction in its simplest form.
Pls help I’ve got no idea
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
<
3
5
Interval Notation:
(
−
∞
,
3
5
)
Step-by-step explanation:
[tex]5x - 1 < 2 \\ 5x < 3 \\ x < \frac{3}{5} \\ x < 0.6 \: x( - \infty . \frac{3}{5} )[/tex]