Answer: 315 km
Step-by-step explanation:
If the angle θ is measured from the x-axis, and we have a magnitude A, we can find the rectangular coordinates as:
Ax = A*cos(θ)
Ay = A*sin(θ)
Then:
The first helicopter has a speed of 160km/h, and it's angle is 290°.
Then the components will be:
Vx = 160km/h*cos(290°) = 54.7 km/h
Vy = 160km/h*sin(290°) = -150.4 km/h
Then the point location as a function of time, can be written as:
(where i assumed that the initial position of both helicopters was (0, 0))
P1(t) = (54.7 km/h*t, -150.4 km/h*t)
where t is time in hours.
We can do the same for the other helicopter:
The speed is 100km/h, and the angle is 250°
Then:
Vx = 100km/h*cos(250°) = -34.2 km/h
Vy = 100km/h*sin(250°) = -94 km/h
Then the point location as a function of time, will be:
P2(t) = (-34.2km/h*t, -94 km/h*t)
After 3 hours, the position of each helicopter will be:
P1(3h) = (54.7 km/h*3h, -150.4 km/h*3h) = (163.1 km, -451.2 km)
P2(3h) = (-34.2km/h*3h, -94 km/h*3h) = (-102.6km, -282km)
Now we can calculate the distance between these two points.
Remember that the distance between the points (a, b) and (c, d) is:
D = √( ( a - c)^2 + (b - d)^2)
In this case the distance will be:
D = √( (163.1 km - (-102.6km))^2 + (-451.2 km - (-282km))^2)
D = √( (163.1 km + 102.6km)^2 + (-451.2 km + 282km)^2)
D = 315km
Evaluate: 3x^2 + y when x=1 and y=-3
Answer:
0
Step-by-step explanation:
3x^2 + y ( If x = 1, and y = -3)
= 3(1)^2 + (-3)
= 3 + -3
= 0
Cheers.
What is 2/5 closer to
Answer:
Depends on what it is
Step-by-step explanation:
I can't tell you because I don't know what we are comparing. :)
-2/3 -5x
What is the slope of the line represented by the equation y
Step-by-step explanation:
y = -2/3 - 5x
rearranging,
y = -5x -2/3
comparing to the gradient-intercept equation
y = mx + c
m = -5
c = -2/3
Therefore, the slope of the line is -5
Answer: -5
Step-by-step explanation:
Because you know that y=Mx+p right?
So you just take the equation : -2/3-5x and you know that the number before x is m = the slope . Have a nice rest of your day :)
A triangle has a base of 15 feet and a height of 9.5 feet. What is the area of the triangle?
O 142.5 ft2
O 71.25 ft2
O 24.5 ft2
O 5.5 ft2
HELP ASAP
Answer:
71.25 ft2
Hope this helps. Pls give brainliest.
Answer:
71.25
Step-by-step explanation:
multiply them together then divide by 2.
f(x)=−14x+12 for x=3?
Answer:
(x)=-30
Step-by-step explanation:
f(x)=-14·3+12
f(x)=-42+12
f(x)=-30
Nadia has 3/5 a yard of fabric. If Nadia cuts the fabric into 2 equal
pieces, how long are each of the 2 sections?
(The picture has the answer) :)
Answer:
A. [tex]\frac{3}{10}[/tex] a yard
Step-by-step explanation:
We just need to divide the [tex]\frac{3}{5}[/tex]yard fabric into 2:
[tex]\frac{3}{5}[/tex]÷[tex]\frac{2}{1}[/tex] = [tex]\frac{3}{5}[/tex]×[tex]\frac{1}{2}[/tex]
= [tex]\frac{3}{10}[/tex]
PLEASEE HELPPPP MEEE
PLEASE HELP QUICK.
HELP MEH!!! question:
A snail travels 10cm in 4 minutes. at this rate:
Answer:
In 8 min it will travel 20
Step-by-step explanation:
Explain how to use a polynomial identity to factor x^6-27y^3
This is a sum of cubes:
x⁶ - 27y³ = (x²)³ + (-3y)³
Recall that
a³ + b³ = (a + b) (a² - ab + b²)
So we have
x⁶ - 27y³ = (x² - 3y) ((x²)² - x² (-3y) + (-3y)²)
x⁶ - 27y³ = (x² - 3y) (x⁴ + 3x²y + 9y²)
Please help. how do I do this??
Answer:David
Step-by-step explanation:
David saves 2:8 = 1;4 is 25%
Laura saves 3/20= 15%
Anna saves 19%
Which number is between 6 1/8 and 64 squared?
Select one:
a.7 1/2
b. 68 squared
c. 8.16...
d. 0.115
Answer:
Do you have a photo or picture of this question, I don't want to give you the incorrect answer because something was missing.
What is the surface area
1 cm
5 cm
4 cm
2 cm
6 cm
3 cm
I worked it out, the answer is 88
Find the area of the circle. Leave your answer in terms of pi
Answer:
Step-by-step explanation:
Since area of a circle is pi.r^2
We know that diameter is 20
Radius is half of diameter
So it becomes
Pi.(d/2)^2
So pi.(40/4) is the area of this circle.
Or 40pi/4
Answer:
100π
Step-by-step explanation:
The formula for calculating area of a circle π×r^2 (r: radius)
The given radius here is 20 ÷ 2 = 10
π × 10^2 = 100π
Breadth and length of a rectangle is in the ratio 7:11. Length is 20 cm
more than breadth. Find the breadth and length.
Answer:
Breadth = 35 cm
Length = 55 cm
Step-by-step explanation:
Breadth : length = 7 : 11
Breadth = 7x
Length = 11x
Length is 20 cm more than breadth.
Length = breadth + 20
11x = 7x + 20
11x - 7x = 20
4x = 20
x = 20/4
x = 5
Breadth = 7x = 7*5 = 35 cm
Length = 11x = 11 * 5 = 55 cm
Breadth and length of a rectangle is in the ratio 7:11. Length is 20 cm more than breadth. Find the breadth and length.
❥ Explanation -:In this question we are provided with the ratio of length and breadth 7 : 11 and it is also given that the length of the rectangle is 20 cm more than the breadth and we are asked to find out the length and breadth
Let us assume length as 11x and breadth as 7x.
[tex] \small\underline{\frak{ Length \: is \: 20 \: cm \: more \: than \: breadth}}[/tex]
Length = Breadth +20
According To Question
[tex] \small\bf{ 11x = 7x + 20}[/tex]
[tex] \small\rm{11x - 7x = 20} [/tex]
[tex] \small\rm{4x = 20} [/tex]
[tex] \small\rm{ x = \cancel\dfrac{20}{4} = 5 }[/tex]
[tex]\small\boxed{\rm{x = 5 cm}}[/tex]
Length = 11x = 11 × 5 = 55 cm
Breadth = 7x = 7 × 5 = 35 cm
If f(x)=4x-16andtheDomainis{-2,-1,0,3,6},findtheRange of the function. Show all work.
Answer:
R={-24,-20, -16, -4, 8}
Step-by-step explanation:
f(x)=4x-16
f(-2)=4(-2)-16
f(-2)=-8-16
f(-2)=-24
f(x)=4x-16
f(-1)=4(-1)-16
f(-1)=-4-16
f(-1)=-20
f(x)=4x-16
f(0)=4(0)-16
f(0)=0-16
f(0)=-16
f(x)=4x-16
f(3)=4(3)-16
f(3)=12-16
f(3)=-4
f(x)=4x-16
f(6)=4(6)-16
f(6)=24-16
f(6)=8
Enter the number of complex zeros for the polynomial function in the box.
f(x)=x3−96x2+400
The complex zeros of the polynomials are 20i and -20i
Given the polynomials, the zeros of the polynomial are gotten by equating the function to zero and then factorizing as shown:
f(x)=x^3−96x^2+400
x^3−96x^2+400 = 0
x^2(x-96) + 400 = 0
x^2(x - 96) = -400
x^2 = -400
Get the required complex roots:
x^2 = -400
x = ±√-400
x = ±20i
Hence the complex zeros of the polynomials are 20i and -20i
Learn more on zeros of polynomials here: https://brainly.com/question/4142886
Solve the following equation for x: 2x + 5y = 8.
x= 5/2y + 4
x=-5/2y - 4
x=5/2y - 4
x=-5/2Y +4
Find the slope. Im not good finding slope in a graph and fliping the numbers.
Answer:
[tex]\frac43[/tex]
Step-by-step explanation:
Hello!
We can calculate slope using the formula [tex]\frac{Rise}{Run}[/tex].
Rise is the change in y between two pointsRun is the change in x between two pointsThe two points that I'm going to choose is (0,-4) and (3,0).
SlopeChange in y (-4 and 0) is 4Change in x (0 and 3) is 3Therefore, the slope of the line is [tex]\frac43[/tex].
Answer: 4/3
Step-by-step explanation:
rise over run
Endless pain.............................
Answer:
Ok
Step-by-step explanation:
Do you like ice cream?
Because I do :D
Answer:
just these two words make so much sense that i can relate to it.
Step-by-step explanation:
i can't say the pain will end but looking forward to good things really help me and others.
anyways have a good day.
:)
comment if you have depression and anxiety and understand these two words. lol
PLEASE ANSWER THIS ASAP !!!!!
Answer:
y= -3x-6
Step-by-step explanation:
Blue Skies Equipment Company uses the aging approach to estimate bad debt expense at the end of each accounting year. Credit sales occur frequently on terms n/60. The balance of each account receivable is aged on the basis of three time periods as follows: (1) not yet due, (2) up to one year past due, and (3) more than one year past due. Experience has shown that for each age group, the average loss rate on the amount of the receivable at year-end due to uncollectibility is (a) 3 percent, (b) 9 percent, and (c) 28 percent, respectively. At December 31, 2019 (end of the current accounting year), the Accounts Receivable balance was $48,700 and the Allowance for Doubtful Accounts balance was $920 (credit). In determining which accounts have been paid, the company applies collections to the oldest sales first. To simplify, only five customer accounts are used; the details of each on December 31, 2019, follow:
Answer:
hello your question is incomplete attached below is the missing table
answer = $48700
Step-by-step explanation:
Calculate the total account receivable in each age category
1) not yet due age category
= $4000 + $4000 + $7000
= $15000
2) up to 1 year age category
= $20500 + $7000
= $27500
3) more than 1 year age category
= $6200
therefore the total amount of account receivables = 15000 + 27500 + 6200 = $48700
What is the hypothesis of the following conditional statement? Conditional Statement: If a triangle has three congruent sides, then it is an equilateral triangle.
A.) The triangle has three sides.
B.) If it is an equilateral triangle, it has three congruent sides.
C.) It is an equilateral triangle.
D.) A triangle has three congruent sides.
Answer: D.) A triangle has three congruent sides.
Step-by-step explanation: The first part of a conditional statement is its hypothesis.
After cleaning house, Josh took a box of 29 used discs to sell at the flea market.
Some were computer games (which he sold for $2 each), some were music CDs (which he sold
for $3 each), and the rest were video DVDs (which he sold for $4 each). If Josh sold everything
(which included twice as many DVDs as computer games), and he made a total of $93, how
many of each type of disc did he sell?
Answer:
Josh sold, 6 computer games, 12 video DVDs, and 11 music CDs
Step-by-step explanation:
The given parameters are;
The number of used discs in the box Josh took to the flea market = 29
The price for which he sold the computer games = $2
The price for which he sold the music CDs = $3
The price for which he sold the video DVDs = $4
The number of DVDs = 2 × The number of computer games
The total amount Josh made = $93
Let C represent the number of computer games and let M represent the number of music CDs, and let V represent the number of DVDs, we have;
We have;
V = 2 × C...(1)
C + M + V = 29...(2)
2 × C + 3 × M + 4 × V = 93...(3)
By substituting the value of V, from equation (1), in equation (2), we have ;
C + M + (2 × C) = 29
∴ 3·C + M = 29
M = 29 - 3·C...(4)
By substituting the value of V, from equation (1) and the value of M, from equation (4) in equation (3), we have;
2 × C + 3 × M + 4 × V = 93...(3)
2·C + 3·M + 4·V = 93
2·C + 3·(29 - 3·C) + 4·(2·C) = 93
2·C + 87 - 9·C + 8·C = 93
C = 93 - 87 = 6
C = 6
The number of computer games = C = 6
V = 2 × C = 2 × 6 = 12
V = 12
The number of video DVDs = V = 12
M = 29 - 3·C = 29 - 3 × 6 = 11
M = 11
The number of music CDs = M = 11
Therefore, Josh sold, 6 computer games, 12 video DVDs, and 11 music CDs.
Si 5 trabajadores realizan el 60% del muro en el dia, y los demas trabajan en partes iguales. ¿Que porcentaje del muro construyen los demas trabajadores?
Answer:
40%
Step-by-step explanation:
Aquí, tuvimos que 5 trabajadores habían terminado el 60% del muro.
Entonces, el porcentaje que queda por hacer sería el porcentaje total, el porcentaje realizado por los 5 trabajadores.
Matemáticamente, el porcentaje total será del 100%.
Entonces, el porcentaje total realizado por los trabajadores restantes será 100% - 60% = 40%
Find the quotient: 16.4 m ÷ 2.82 m.
Answer:
5.8156
Step-by-step explanation:
The division is super long, took me a while to solve on paper, but the answer is 5.8156.
Hope this helped! :)
Rachel got her kite stuck at the top of a tree that is 35 feet tall. If she is standing 55 feet away from the base of the tree, how long is the string?
Answer:
90
Step-by-step explanation:
Just add 35 and 55 it's pretty simple
Evaluate the expression for the given value of the variable
3x + 5 when x = 5
Answer:
Step-by-step explanation:
Putting value of x in the equation
3(5) + 5
= 15 + 5
= 20
Please PLS PLS PLS PLS Answer ASAP its a test PLEASE will give brainliest if right!! :)
Answer:
1
Step-by-step explanation:
Refer to the spinner. Find p ( even and not shaded )
• 1/3
•1/6
•5/6
Answer:
1/6
Step-by-step explanation:
p is even and not shaded
2 fractions are not shaded: 1/3 and 1/6
1/3 is not even, it's odd
1/6 is the only remaining answer