2)
An Airplane is ascending at a speed of 400 km/hr along a line making an angle of 60' with the
ground. How fast is the altitude of the plane changing?
Answers
Answer:
The altitude is changing at a speed of 200 √3 km/hr
Step-by-step explanation:
Here, we want to know how far the altitude of the plane is changing
we are told that the airplane makes an angle of 60 degrees with the ground
So therefore , the rate of change of its altitude will be ;
sin 60 = x/ 400
x = 400 sin 60
x = 400 * √3/2
x = 200 √3 km/hr
The altitude is increasing at a rate of 346.61 km/hr.
The diagram below denotes the given scenario.
Then from the diagram we have,
[tex]sin60^{\circ}=\frac{y}{z}\\\frac{\sqrt{3}}{2} =\frac{y}{z}\\ y=\sqrt{3}\\z=2[/tex]
Then,
[tex]sin\theta =\frac{y}{z}\\cos\theta \frac{d\theta}{dt}\\=\frac{z\frac{dy}{dt}-y\frac{dz}{dt}}{z^2} \\\frac{dy}{dt}=\frac{z^2cos\theta\frac{d\theta}{dt+y\frac{dz}{dt}}}{z}\\\frac{dy}{dt} =\frac{2^2(cos60^{\circ})+\sqrt{3}(400)}{2}\\ \frac{dy}{dt}=346.41 km/hr[/tex]
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Related Questions
Ethan missed 18 questions on his multiple choice history final that had a total
of 200 problems. What percentage of questions did Ethan answer correctly?
Answers
Answer:
Ethan got 91% of the questions correct
Step-by-step explanation:
18 ÷ 200 = 0.09
0.09 x 100 = 9
100 - 9 = 91
91%
Please help. Find the exact value by using a half-angle identity.
tan(7pi/8)
1 [square root 2]
1 - [square root 2]
-1 + [square root 2]
-1 - [square root 2]
Answers
Answer:
i hope you figure it out the answer
Step-by-step explanation:
did you remember me im jade
Which inequality is true?
O A. |-15| > |-19
OB. |-161 < 1131
OC. |-15] > [12
OD. 12< |-81
O E. |-19| > |-201
Answers
Answer:
Taking the absolute value results in a positive value A would be trueThe total cost of renting a movie for different numbers of days is shown in the table.
Which equation was used to create this table?
Movie Rentals
Total Cost,
Number of Days, d
(in dollars)
1
3
2
4
5
7
2
10
12
C = 20
d = 20
C = 2 +
d = 2 +
Answers
Answer:C
Step-by-step explanation:
Daniel traveled at a constant speed of 6Omph, for 9 hours on Saturday. How far did Daniel travel?
a School
Answers
Answer:
540
Step-by-step explanation:
you do 60 mph times 9 and you get your answer
Answer:
540 miles
Step-by-step explanation:
-To solve what the distance is, you can use the formula:
d = st, where the distance is equal to the speed times the time.
-Plug the values into the formula (60mph is the speed, and 9 hours is the time):
d = 60(9)
-Solve it to get:
d = 540
-So, distance = 540 miles
Answer: Daniel traveled 540 miles
Hope this helps! :)
x is from a to b translates to a≤x≤b
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
mark brainliest
3/7 divided by 2 1/2
Answers
Answer:
6/35
Step-by-step explanation:
1. Convert the expression.
2. Multiply by the reciprocal
3. Multiply.
The equation of line h is y = -2x + 1. If line h is dilated with a scale factor of 4 with respect to the origin, what is the equation of the new line?
Answers
Answer:
y = -2x + 4Step-by-step explanation:
Given line h:
y = -2x + 1Dilated line is parallel to original, so will have same slope of -2
y-intercept will change by a scale factor of 4:
(0, 1) → (0*4, 1*4) = (0, 4)So the equation of the new line is:
y = -2x + 4Helpp pleaseeee ASAP
Answers
Answer:
the triangle would be getting twice as big because 12÷6=2 so you would have to multiply all the sides by 2
A grounds keeper needs grass to cover a circular field 290 feet in diameter.a store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain ir show your reasoning
Answers
Answer:The smallest number of bags the groundskeeper must buy to cover the field is 165 bags.
Given:
A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter.
A store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.
To find:
The smallest number of bags the groundskeeper must buy to cover the field.
Solution:
Diameter of the field = 290 feet, radius = 145 feet
Step-by-step explanation:
Enter the value of p so the expression 4(n+7) is equivalent to (n+p)4.
Answers
Answer:
p=7
Step-by-step explanation
both n and 4 are in both so p will have to be the same thing as 7 in order to be equal
The value of p that makes the expressions 4(n+7) and (n+p)4 equivalent is p = 7.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To make the expressions 4(n+7) and (n+p)4 equivalent, we need to distribute the 4 in the second expression, which gives us:
(n+p)4 = 4n + 4p
Now we can set this expression equal to 4(n+7) and solve for p:
4n + 4p = 4(n+7)
Simplifying both sides:
4n + 4p = 4n + 28
Subtracting 4n from both sides:
4p = 28
Dividing both sides by 4:
p = 7
Therefore,
The value of p that makes the expressions 4(n+7) and (n+p)4 equivalent is p = 7.
Learn more about expressions here:
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3x + 4y = 7, 8x + 5y = 12. The value of x and y is
13, 20
20, 13
13/17, 20/17
20/17, 13/17
Answers
Answer:
13/17, 20/17
Step-by-step explanation:
3x + 4y = 7 --- Equation 1
Equation 1×5:
15x + 20y = 35 --- Equation 2
------------------------------------------------------------------------------------------------------------
8x + 5y = 12 --- Equation 3
Equation 3×4:
32x + 20y = 48 --- Equation 4
------------------------------------------------------------------------------------------------------------
Equations 4-2:
32x + 20y - 15x - 20y = 48 - 35
17x = 13
x = [tex]\frac{13}{17}[/tex]
Substitute x = [tex]\frac{13}{17}[/tex] into Equation 1:
3x + 4y = 7
3([tex]\frac{13}{17}[/tex]) + 4y = 7
[tex]\frac{39}{17}[/tex] + 4y = 7
4y = 7 - [tex]\frac{39}{17}[/tex]
= [tex]\frac{119}{17}[/tex] - [tex]\frac{39}{17}[/tex]
= [tex]\frac{80}{17}[/tex]
y = [tex]\frac{80}{17}[/tex] ÷ 4
y = [tex]\frac{20}{17}[/tex]
Thus, x = [tex]\frac{13}{17}[/tex], y = [tex]\frac{20}{17}[/tex].
( [tex]\frac{13}{17}[/tex], [tex]\frac{20}{17}[/tex])
2) Evaluate 9 X 364 – 9 X 125 – 9 X 39 without the use of your calculator
Show your working.
PLEASE HELP .WILL MARK BRAINLIEST
Answers
Answer:
9*364 - 9*125 - 9*39 = 1,800
Step-by-step explanation:
Mental Calculation
If we detect known patterns in the calculations, we could easily give their results without the use of calculators.
We are given the expression to evaluate:
9*364 - 9*125 - 9*39
The first thing to note is the 9 is a common factor of all terms, thus we take it out:
9*(364 - 125 - 39)
The negative numbers can be easily added
125
+ 39
------------
164
Now our expression is much easier:
9*(364 - 164)
The subtraction of 364-164 is 200, thus the result of the operations is:
9*200. We only need to recall 9*2=18 and add two zeros to get 1,800, thus:
9*364 - 9*125 - 9*39 = 1,800
Richard measured the auditorium and made a scale drawing. The scale of the
drawing was 0.5 inch : 4 feet. If the stage is 11 inches in the drawing, how
long is the actual stage?
Answers
Answer:
oml yall really on here
Step-by-step explanation:ion know do you homework
The download time, t, is equal to the product of the number of gigabytes, g, and 3 minutes .
Answers
Answer:
I dont really know what your question is but i'll explain.
t=3g is the equation form of this.
You can replace the values
Write the numerical answer only. Do not include labels, dollar signs, or units.
A plane flew 720 miles in 6 hours. How many miles did the plane fly in 4 hours?
Answers
Answer:
480 miles
Step-by-step explanation: 4 times 120
In a basketball game tamara made 16 out of 20 shots from the free throw line what percent did her shots make
Answers
Answer:80% of shots
Step-by-step explanation:
Divide 16 and 20 by 2
8 and 10
10 is total and 8 is how much she made therefore 80% of shots were made by Tamara.
Solve for Z: -6Z = -7 + 11A
ASAP!!!
Answers
Answer:
\frac{-7+11A}{6}
Step-by-step explanation:
Define volume of a cuboid.
Answers
Answer:
Here
Step-by-step explanation:
The volume of cuboid = (Length x Breadth x Height) cubic units = ( l x b x h) cubic units.
PLZ ANSWER QUICKLY! WILL GIVE BRAINIEST! ANSWER CORRECTLY! 1 QUESTION!
Answers
Answer:
A
Step-by-step explanation:
The bottom side of the smaller rectangle is marked 10, and the bigger one is marked 20. 20÷10=2, making this a 2:1 scale. Simply multiply the 8 on the right of the smaller rectangle by 2 and you'll get 16, the answer for the similar rectangle.
Answer:
A. 16 cm
Step-by-step explanation:
Since the rectangle on the left is 10 cm and the one on the right is 20, that means that it was multiplied by 2. So you multiply 8 by 2 and you get 16.
A car travels 2/5 mile in 1/2 minute . What is the car’s speed in miles per hour? Explain how you determined your answer
Answers
Answer:
48%28mil%2Fh%29
Step-by-step explanation:
if car travels %282%2F5%29mil%2F%281%2F2%29min =>2%282%2F5%29%28mil%2Fmin%29=%284%2F5%29%28mil%2Fmin%29
since 1h=60min multiply %284%2F5%29mil by 60 to get the number of miles per hour %284%2Fcross%285%29%29cross%2860%2912%28mil%2Fh%29=4%2A12%28mil%2Fh%29=48%28mil%2Fh%29
Answer:
48 miles
Step-by-step explanation:
1h = 60m
[tex]\frac{1}{2}[/tex]m --- [tex]\frac{2}{5}[/tex]miles
0.5m --- [tex]\frac{2}{5}[/tex]miles
60m --- [tex]\frac{60}{0.5}[/tex] × [tex]\frac{2}{5}[/tex]miles
= 48 miles
What are the solutions of the quadratic equation? Solve by factoring. 4x^2-18x+20=0
Answers
Answer:
x = 5/2,2
Step-by-step explanation:
I NEED ANSWER ASAP Please help me
Answers
Answer:
14/15
Step-by-step explanation:
3/5 + 1/3 = 9/15 + 5/15
9+5/15 = 9+5/15
14/15 = 14/15
Hope you got it.
srry for late..
ANSWER ASAP!!! Which table correctly lists the reasons to prove <1 = <3, given that AB intersects CD?
Answers
Answer: B
Step-by-step explanation:
Took the test
First table correctly list the reasons.
Given from fig two lines intersect each other and form angles as shown in fig.
Now we have to prove angle 1 equals to angle 3.
From table first all the step by step statement and reasons are correct but in table second 4th statement is correct but its reason is wrong. similarly in 3rd table 5th statement is correct but its reason is wrong.
So we can say now first table is correctly list the reasons to prove angle 1 equals to angle 2.
For more details on Transitive property follow the link below:
https://brainly.com/question/862440
If cos(u)=4/5 and tan(v)=-12/5 while (3pi/2)
Answers
Answer:
Step-by-step explanation:
This is an incomplete question
There is a proportional relationship between minutes and dollars per minute, shown on a graph of printing expenses. The graph passes through the point (1, 4.90). What is the slope of the graph? What is the unit rate? Complete the explanation. plz help 100 points and brainliest.
Answers
Answer:
if the graph of a proportional relationship passes through the point (1 , R) then r equals the slope and the unit rate , which is $4.75 per min
Step-by-step explanation:
Write this number in standard form: 1.7254 x 10^3
Answers
Answer:
1.7254*1000
Step-by-step explanation:
1.7254 x 10^3
$16.98 with buy one get one 50% off (SHOW WORK)
Answers
Answer:
$8.49
Step-by-step explanation:
Amount Saved = $8.49 (answer). In other words, a 50% discount for a item with original price of $16.98 is equal to $8.49 (Amount Saved).
Since we know that an object is 16.98, all we need to do is find what 50% is off the cost. Since 50% is half of the price, all we need to do is come up with the equation:
[tex]16.98/2= 8.49 + 16.98 = 25.47[/tex]
I added 16.98 at the end because you have to buy One *object* and get it with half price. The total with the discounted object is 25.47
Thank you! btw can i please get brainly :3
Help me please help me
Answers
Answer:
[tex]y=4x-3[/tex]
Step-by-step explanation:
All of these equations are in the [tex]y=mx+b[/tex] form.
[tex]m[/tex] stands for the slope (or gradient) of the line (how steeply it goes up or down) and [tex]b[/tex] stands for the y value where the line crosses the y-axis (also known as y-intercept).
With this in mind, it's evident that the slope of [tex]y=4x-3[/tex] is 4 and that it crosses the y-axis when y is equal to -3.
Good luck!
amanda increased the amount of protein she eats evry day from 48 to 54 g by what percentage di amanda increas3 the amount of protein she eats
Answers
Answer:
the amount increased by approximatley 12%
Step-by-step explanation:
Answer:
12.5%
Step-by-step explanation: