50
A jet flies due North far a distance of 50 cm and then on a bearing of N TOE for a furter
km. Find the distance and bearing of the jet from its starting point
Answers
Answer:
90 km, N 46° E
Step-by-step explanation:
A jet flies due North for a distance of 50 km and then on a bearing of N 70° E for a further 60 km. Find the distance and bearing of the jet from its starting point.
Look at the diagram I drew of this scenario. You can see the jet flies North for 50 km, and then turns at a 70° angle to fly another 60 km. We want to find the distance from the starting point, SP, to angle C (labeled).
This will be the jet's distance from its starting point.
In order to find the bearing of the jet from its starting point, we will need to find the angle formed between distances b and c, labeled angle A.
The Law of Cosines will allow us to use two known sides and one known angle to solve for the sides opposite of the known angle.
In this case, the known angle is 110° (angle B) so we will use the Law of Cosines respective to B.
b² = a² + c² - 2ac cosBSubstitute the known values into the equation and solve for b, the distance from the starting point (A) to the endpoint (C).
b² = (60)² + (50)² - 2(60)(50) cos(110°)b² = 6100 -(-2052.12086) b² = 8152.12086b = 90.28909602b ≈ 90 kmThe distance of the jet from its starting point is 90 km. Now we can use this b value in order to calculate angle A, the bearing of the jet.
The Law of Cosines with respect to A:
a² = b² + c² - 2bc cosASubstitute the known values into the equation and solve for A, the bearing from the starting point (clockwise of North).
(60)² = (90.28909602)² + (50)² - 2(90.28909602)(50) cosA 3600 = 8152.12086 - 6528.909602 cosA-4552.12086 = -6528.909602 cosA0.6972252853 = cosA A = cos⁻¹(0.6972252853) A = 45.79519A ≈ 46°The bearing of the jet from its starting point is N 46° E. This means that it is facing northeast at an angle of 46° clockwise from the North.
Related Questions
4/5(p+1)=1 wgat equals p
Answers
Answer:
p= 1/4 or 0.25
Step-by-step explanation:
Answer:
p = 1/4 or .25
Step-by-step explanation:
We first multiply by the reciprocal of fraction to move to the other side.
[tex]p + 1 = \frac{5}{4} [/tex]
Reduce
p = 1/4
how to calculate midpoint
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\text{How to \bf{calculate midpoint}}?[/tex]
[tex]\large\text{You can calculate the DISTANCE BETWEEN TWO given END POINTS}\\\large\text{and DIVIDE its RESULT by 2}[/tex]
[tex]\large\text{Here is the formula: }\mathsf{(\dfrac{x_1 + x_2}{2}, \dfrac{y_1+y_2}{2} )}[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
[tex]\large\text{Use an example of it}\downarrow[/tex]
Write the equation of a line with a slope of 3 and a y-intercept of 0
Answers
Answer:
y = 3x
Step-by-step explanation:
What is the coefficient of f in the expression 4b-f
A.–1
B.0
C.1
D.4
Answers
Answer:
C
Step-by-step explanation:
C, because if you just have a random variable like x,y,z there's always an imaginary 1 in front of them.
Parker is preparing snacks for the
children at a day camp. He has
48 carrot sticks and 36 apple slices.
Find the number of identical snacks he
can prepare if he puts as much food into
each snack as possible without any
leftovers. Then describe the snack.
Answers
Answer:
4 carrots and 3 apple Brainiest please? Took me a long time :)
8 carrots and 6 apple
12 carrots and 9 apple
16 carrots and 12 apple
20 carrots and 15 apple
24 carrots and 18 apple
28 carrots and 21 apple
32 carrots and 24 apple
36 carrots and 27 apple
40 carrots and 30 apple
44 carrots and 33 apple
48 carrots and 36 apple
The moon has a radius of 1,079 miles. What is the circumference of the moon? Express your answer in terms of π.
Answers
Circumference is 2x(pi)xR
In this case your R is 1079 so multiply it by 2(pi)
1079x2x(pi)= 2158(pi)
The circumference of the moon is 2158π miles.
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
We know the perimeter or the circumference of a circle is 2πr, Where r is the radius.
Therefore, The perimeter or the circumference of the moon with a radius of 1079 miles is,
= 2×π×1079 miles.
= 2158π miles.
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I need help on this fast please
Answers
pls help for this question sssssssss
Answers
Answer:
(16√75)/(5√12) = 8
Step-by-step explanation:
Answer:
16√75÷5√12
= 8
Step-by-step explanation:
Hope it is helpful.....
PLEASE HEEEELPPPP ASAP
Answers
Answer:
The solution of the first image is: b = √48
The solution of the second image is: c = √125
Step-by-step explanation:
Here we have two triangle rectangles, first, we need to remember the Pythagorean theorem.
For a triangle rectangle with cathetus A and B, and a hypotenuse H, we have the relationship:
A^2 + B^2 = H^2
Where H is the side that is opposite to the right angle (the angle of 90°)
In the first image, we can see that the hypotenuse is equal to 8, and one cathetus is equal to 4.
We want to find the value of b, that is the other cathetus.
Then we have:
4^2 + b^2 = 8^2
b^2 = 8^2 - 4^2
b^2 = 48
b = √48
Second image:
in this case, c is the hypotenuse, a and b are the cathetus.
We know that:
a = 5, b = 10
Then we have the equation:
a^2 + b^2 = c^2
Now we can replace the above values:
5^2 + 10^2 = c^2
25 + 100 = c^2
125 = c^2
√125 = c
a bag contains 4 blue and 6 green marbles. two marbles are selected at a random from the bag. if the first marble is not replaced before the second marble is drawn
Answers
Answer:
4 ÷ 10
Step-by-step explanation:
The computation of P is shown below:
If we add two marbles i.e.
= 4 + 6
= 10 marbles
Now if we draw the second marble
P(blue) = Blue marbles ÷ total marbles
= 4 ÷ 10
In the other case
P( blue second given a green first) = 4 ÷ 10
Please please help me will give Brain
Answers
Answer:
b
Step-by-step explanation:
ADC= CBA
Answer:
choice 4) angle ACD congruent to angle CAB
HELP! What is the value of x? (Picture)
Answers
Answer:
c. 45
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
90 degree angle - the 10 degrees = 80
divide by 2 because 2x=80 and get 40
Find the distance between ( 1, 3) and (5, 6)
Answers
Answer:
Step-by-step explanation:
1, 3
5, 6
subtract
4 x
3 y
4^2 + 3^2 = 5^2
so the distance is 5 units
Derek’s limo company charges $5.00 to rent a limo, and an additional $12.00 per mile that the limo drives. Frank’s limo company charges $85.00 to rent the limo, but only $8.00 per mile. Write a LEGEND and a SYSTEM OF EQUATIONS that shows the cost of both limo companies. *
Answers
Answer:
110
Step-by-step explanation:
it cost 110 all together because if you add 17 and 93 that's what it is which was 110. I got 17 from when I add 5 + 12 and I added 85 + 8 that's how I got the answer
Previous
3
The Rios and Puntiel families went to the movies recently. The Rios
family had 3 adults and 4 children and paid $71. The Puntiel family had 2
adults and 5 children and paid $66. How much was each adult ticket?
A
$8
B
$13
XA
C С
$9
D
$12
Answers
Answer:?
Step-by-step explanation:
need help with this question
Answers
A. {-3, 7, 8, 12}
B. {-8, -3, 5, 7}
C. {6, 8, 10, 12}
D. {-8, -3, 5, 6, 7, 8, 10, 12}
Answers
Oxygen is being added to a canister which originally contained 5 cubic feet of the gas at
the rate of 0.3 cubic feet per second.
Which function represents the volume, V(t), of oxygen in the cylinder after t seconds of
adding the gas?
Answers
Answer:
The change is negative, since the volume in the final state is smaller than the volume in the initial state. 2.25 We express V for the ideal gas as a function of T , p and n: V (T , p, n) = ... each smooth part of the curve and add the integrals, used up yearly by living organisms, which means that even if the oxygen supply was.
Vt = 0.3t + 5 is a function that depicts the volume, V(t), of oxygen in the cylinder after introducing the gas for t seconds.
What is Volume?
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Given, Oxygen is being added to a canister that originally contained 5 cubic feet of the gas at the rate of 0.3 cubic feet per second.
Let V is the volume of oxygen t be the time in seconds and Vt be the changing volume at time t.
From the formula of volume of a cylinder (V) = π r²h
The initial volume of gas = 5 feet
gas added at the rate = 0.3 feet per second
Thus equation for volume = 5 + 0.3t
Vt = 0.3t + 5
therefore, a function that represents the volume, V(t), of oxygen in the cylinder after t seconds of adding the gas is Vt = 0.3t + 5.
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Find the value of r: (-2, r), (6, 7), m = 1/2
Answers
Answer:
R=3
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Why can you take the cube root of a negative number?
Answers
Answer:
you can because the real cube root of any negative real number is negative.
Step-by-step explanation:
Answer: The reason that we can't have the square (or quartic) root of a negative number is that two negatives always cancel to give a plus; so the square root of a negative number is undefined. ... The Real cube root of any negative Real number is negative.bc. a negativ number multiplied by it self 3 time result negativ too
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Step-by-step explanation:
Jose bought a computer that cost $1,200. He paid $400 down and will pay $50 per week until the balance is paid off. Solve the equation 400 + 50w = 1,200 to find the number of weeks w it will take Jose to pay off the computer.
A.
32 weeks
B.
16 weeks
C.
53 weeks
D.
26 weeks
Answers
Answer:
B. 16 weeks
Step-by-step explanation:
all you have to do is subtract $1,200 - $400 = 800. then you take 800 and divide it by 50. 800/50 = 16. i hope this helped :)
50 w = 800
w = 800/50 = 16
The answer is B. 16 weeks
Rebecca has a fair spinner with six sides.
They are labelled orange, orange, white, pink, white, orange.
Choose the word that best describes the likelihood that the spinner will land on pink.
impossible
unlikely
evens
likely
certain
Answers
Answer:
unlikely
Step-by-step explanation:
unlikely because 3/6 colours are orange and 2/6 is white so the remaining 1/6 is not possible as much as the other 2
You had $24 to spend on three notebooks. After buying them you had $12. How much did each notebook cost?
(also show how you found out the answer))
Answers
Answer:
Each notebook would cost around $4
Step-by-step explanation:
24-12=12
seeing how you spent $12 on buying 3 books you'd divide
12÷3=4
meaning each book would cost around $4
Answer:
Each notebook cost $
Step-by-step explanation:
Hi :)
If the three books in total cost $12, then that means she had $12 leftover.
The equation:
3x + 12 = 24
-12 on both sides
3x = 12
divide by three on both sides
x = 4
hope this helps :)
Can someone help ASAP
Simplify 4x4
Answers
Answer:
16
Step-by-step explanation:
How many solutions does the system of equations have? 4x= -12y +16 and x+3y=4
Answers
Answer:
x=4-3y
Step-by-step explanation:
The results of a random survey show that 25 out of 40 people plan to vote for Mr. Benavides for a position on the local school board. Which is the best prediction of the number of people who will vote for Mr. Benavides if 2,000 people vote?
Answers
Answer:
1250
Step-by-step explanation:
25/40=x/2000
x=1250
The radius of a circle is 15 m. Find its area in terms of
π.
Answers
Answer:
A = 225[tex]\pi[/tex] or A = 706.858
Step-by-step explanation:
The formula to find the area of a circle is A=[tex]\pi r^{2}[/tex], with r being the radius.
In this case, 15 is your radius, so you just replace r with 15, like so:
A=[tex]\pi 15^{2}[/tex], then simplify [tex]15^{2}[/tex]
A = [tex]225\pi[/tex]
From here you can leave the answer in its exact form, [tex]225\pi[/tex], or you can simplify it by multiplying 225 times pi. In that case, your answer would be: 706.858 (rounded to the thousanths place).
If radius of a circle is 15 m then the area of circle is 225π square units.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that radius of a circle is 15m.
We have to find the area of the circle.
The formula for area of the circle is A=πr²
Given r is 15
Substitute r=15 in the area formula.
A=π(15)²
=π×15×15
=225π
Hence, if radius of a circle is 15 m then the area of circle is 225π square units.
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HELP ME PLEAS EGIVE BRAINLY!!!!!!
Answers
Answer:
-3 times
Step-by-step explanation:
slope is -6 so -6/2=-3
Help I am in fourth :(
Answers
Answer:
7.6= 76 x 10 to the power of 1
760= 76 x 10 to the power of 1
7600= 76 x 10 to the power of 2
Step-by-step explanation: