Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air. Also can I please get an explination/Walkthrough?
Justin had 80 cricket cards but swapped 3/8 of them how many did he swap
Jay and Libby are working outside when they see a blimp flying over the neighborhood. Jay is mowing the lawn approximately 2,500 feet (ft) from Libby when they both see the blimp. Libby looks up from her gardening at an angle of while Jay looks up at an angle of 35°. Which distance, in feet, is closest to the vertical height of the blimp above the ground?
A. 1,751 feet
B. 2,331 feet
C. 7,027 feet
D. 7,535 feet
The vertical height of the blimp above the ground, which is seen by Jay and Libby while working outside, is 7027 ft.
What is right angle triangle property?In a right angle triangle, the ratio of the opposite side to the adjacent side is equal the tangent angle between the adjacent side and hypotenuse side.
[tex]\tan\theta=\dfrac{b}{a}[/tex]
Here, (a) is the adjacent side, (b) is the opposite side.
Let the height of the blimp from the ground is y ft and the length of the ground to the Libby's position is x ft shown in the attached image below.
As the angle made by the Libby at the height of the blimp is 43 degrees. Therefore,
[tex]\tan43=\dfrac{y}{x}\\x=1.0724y[/tex] ......1
Here, Jay is mowing the lawn approximately 2,500 feet (ft) from Libby when they both see the blimp.
Libby looks up from her gardening at an angle of while Jay looks up at an angle of 35 degrees. Therefore,
[tex]\tan35=\dfrac{y}{x+2500}[/tex]
Put the value of x in the above equation from equation one as,
[tex]\tan35=\dfrac{y}{1.0724y+2500}\\0.7002(1.0724y+2500))=y \\y\approx7027 \rm \; ft[/tex]
Hence, the vertical height of the blimp above the ground, which is seen by Jay and Libby while working outside, is 7027 ft.
Learn more about the right angle triangle property here;
https://brainly.com/question/22790996
I'll give brainliest if you show your answer. Plz answer before thirty minutes.
The means and mean absolute deviations of the individual times of members of two relay swim teams are shown in the table below.
Means and Mean Absolute Deviations of
Individual Times of Members of 4*200- meter Relay Swim Teams
Team A Team B
Mean 127.9 s 127.4 s
Mean Absolute Deviation 0.26 s 0.23 s
The difference of the means is found and then compared to each of the mean absolute deviations. Which is true?
The difference between the mean times is about equal to the mean absolute deviation of the data sets.
The difference between the mean times is about 2 times the mean absolute deviation of the data sets.
The difference between the mean times is about 5 times the mean absolute deviation of the data sets.
The difference between the mean times is about 16 times the mean absolute deviation of the data sets.
The difference between the mean times is about 16 times the mean absolute deviation of the data sets.
Step-by-step explanation:We are given the mean and mean absolute deviation of two teams in a table as:
Team A Team B
Mean 127.9 s 127.4 s
Mean Absolute Deviation 0.26 s 0.23 s
The difference of mean between two team is: 0.5 s
( Since 127.9-127.4=0.5 s)
Also, the difference of Mean absolute deviation is: 0.03 s
( Since, 0.26-0.23=0.03 s)
Now let the difference of the mean times be equal t n times the difference of the mean absolute deviation of two teams
i.e.
0.5=n×0.03
⇒ n=0.5/0.03
⇒ n=16.6667
which is approximately equal to 16.
Hence, The difference between the mean times is about 16 times the mean absolute deviation of the data sets.
Meg rolled a fair six-sided die 28 times. The table below shows the number of times each number was rolled:
Number Cube Experiment
Number on
the Cube Number of
Times
Appeared
1 2
2 7
3 9
4 4
5 6
6 0
According to the results in the chart, what is the experimental probability of getting a number less than 3 on the die?
19 over 28
9 over 28
7 over 28
2 over 28
Answer:
9/28 it is right
how do sales tax and property taxes affect the cost of an item
Which statement below best describes the transformation of parallelogram WXYZ to parallelogram W' X' Y' Z'?
A a reflection across the x axis
B a reflection across the y axis
C a reflection across the x axis and then across the y axis
D a translation of 8 units down
The ratio of youths to adults at a skating rink is 13:7. What percent of these people are youths?
65%, is the answer why is the question/??? BECAUSE I SAID SO
a rectangular prism has a volume of 300 cm squared if the scale factor of the second rectangular prism is 3.5 what is the volume of the second rectangular prism
plzzzzzzzzzzzzzzz help
Saul flips a coin 20 Times and determines that the probability of flipping heads is 0.55. Is this experimental or theoretical probability
what is the comon denominator of 3/8 and 1/3 as fractions for both
(06.06) Which of the following demonstrates the Distributive Property? (4 points) 3(4a + 2) = 12a + 6 3(4a + 2) = 12a + 2 3(4a + 2) = 4a + 6 3(4a + 2) = 7a + 5
Answer:
could u be more spasific?
Step-by-step explanation:
Morgan measures the capacity of a juice glass to be 12 fluid ounces.If she uses the glass to drink 4 glasses of water throughout the day, how many pints of water does Morgan drink?
A scale drawing of a rose is 3 inches long. The actual rose is 1.5 feet long. What is the scale factor of the drawing and what is the scale of the drawing? Please explain!! :D
Answer:
The scale of the drawing is 6
Step-by-step explanation:
Given
Actual Length of Rose = 1.5 feet
Scale drawing of rose = 3 inches
First, we need to equalize both units (by converting feet to inches or inches to feet)
Convert the actual length of rose to inches
If 1 foot = 12 inches
Then 1.5 feet = 12 * 1.5 inches
1.5 feet = 18 inches
Now that we have a single unit for both measurement;
Using the scale factor formula
y = Cx,
where C is the scale factor for x.
y is the measurement of the actual rose = 18 inches
x is the scale drawing of the rose = 3 inches
By substitution; y = Cx, becomes
18 inches = C * 3 inches --- Make C the subject of formula
C = 18 inches / 3 inches
C = 6
Hence, the scale of the drawing is 6
Olga wrote all the natural numbers from 1 to k. Including 1 and k. How many numbers did she write?
Given that "Olga wrote all the natural numbers from 1 to k. Including 1 and k"
So Olga write k numbers.
lets take an example
if k = 10 , then natural numbers between 1 and 10 are 10 numbers that are 1 , 2 , 3 ,4 ,5 ,6 , 7 , 8 ,9 and 10.
Hence she write k numbers.
I need to know the surface area of this shape
Please help and explain your answer.
A wave traveling at 230 m/sec has a wavelength of 2.1 meters. What is the frequency of the wave?
Answer:
The frequency of the wave is 109.52 Hz.
Step-by-step explanation:
Given : A wave traveling at 230 m/sec has a wavelength of 2.1 meters.
To find : What is the frequency of the wave?
Solution :
We know that,
[tex]\text{Velocity} =\text{ Wavelength}\times \text{Frequency}[/tex]
We have given,
Velocity of wave is 230 m/s.
Wavelength is 2.1 meters.
Substitute in formula,
[tex]230 =2.1\times \text{Frequency}[/tex]
[tex]\text{Frequency}=\frac{230}{2.1}[/tex]
[tex]\text{Frequency}=109.52[/tex]
Therefore, The frequency of the wave is 109.52 Hz.
Aura picked the expression 9×3 to find the total number of flowers she picked. A) She picked 9 flowers and then picked 3 more flowers. B) She picked nine flowers from each of 3 flower beds. C)She picked 9 flowers and divided them into 3 cases. D) She picked 9 flowers and then put 3 into a vase.
The correct scenario is B) She picked nine flowers from each of 3 flower beds.
The question posed asks which scenario accurately describes the mathematical expression 9×3 in the context of picking flowers. The expression 9×3 implies that the number 9 (the number of flowers picked from one bed) is multiplied by 3 (the total number of beds from which flowers are picked), thus resulting in a total count of flowers picked. Therefore, the multiplication of these two numbers indicates repeated addition, such as picking a set number of flowers from multiple identical sets.
Additionally, if we were to consider other aspects such as flower color ratios or Darwinian genetics, we could take example scenarios such as: "50% of the flowers are blue and 50% of the flowers are red" or "You would expect 300 homozygous dominant blue flowers, 300 heterozygous blue flowers, and 200 homozygous recessive red flowers", but these do not pertain directly to the mathematical operation represented by 9×3 in this context.
Charles rode 1.6 miles more on Thursday than on Tuesday. Find the number of miles he rode on Tuesday and Thursday.
Kyle divided 2 3 on his calculator and got .6667. Where did the 7 come from?
The 7 in .6667 when Kyle divided 2 3 came from rounding the decimal during the calculation process in the calculator.
The 7 in .6667, when Kyle divided 2 3 on his calculator, came from rounding the decimal.
When a calculator displays a decimal, it often rounds the number to a specific decimal place, causing the appearance of non-repeating numbers like 7 in this case.
Limited by the display's capacity for decimal places, calculators round off the result, leading to the appearance of additional digits beyond the actual result.
Michael is making cookies. Each batch uses 2 cups of flour. He plans to use less than 30 cups of flour for cookies so that he has enough left to make muffins. He has already used 4 cups of flour for cookies.
Which statement describes how many more batches of cookies Michael can make?
if their are fewer than 7 gallons of gas in the tank. Use f as your variable.
Write a inequality.
Square roots question??
√5²+2*√5*√3+√3²
5+7.7+3
15.7
Solve for θ if sinθ = 0.45. Round answer to the nearest degree.
The graph shows the number of paintballs a machine launches, y, in x seconds.
Which expression can be used to calculate the rate per second at which the machine launches the balls?
A) 80/4
B) 20/4
C) 4/80
D) 4/20
Answer:
B) 20/4
Step-by-step explanation:
Required rate = [tex]\frac{Number of balls launched}{Time}[/tex]
From the graph, it is evident that (4, 20), (8, 40), (12, 60) and (16, 80) are points.
This means that
20 balls launched in 4 seconds and the rate = 20/4
40 balls launched in 8 seconds and the rate = 40/8 = 20/4
60 balls launched in 12 seconds and the rate = 60/12 = 20/4
80 balls launched in 16 seconds and the rate = 80/16 = 20/4
Hence, the rate per second at which the machine launches the balls is 20/4 and the correct option is (B).
how do you solve 6) n2+7n+15=5 by factoring?
One hundred nautical miles equals about 185 kilometers. To the nearest kilometer, how far in kilometers is 195 nautical miles?
Answer:
361 is the correct answer
Plz help it’s the ANDREA ONe