Answer:
the answer is 17a
Step-by-step explanation:
I took the quiz
One airplane is approaching an airport from the north at 164 km/hr. A second airplane approaches from the east at 271 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 28 km away from the airport and the westbound plane is 17 km from the airport.
Answer:
The rate of change of the distance between the airplanes is approximately 316.760 kilometers.
Step-by-step explanation:
The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:
[tex]r^{2} = x^{2}+y^{2}[/tex] (1)
Where:
[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.
[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.
By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:
[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]
[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
Where:
[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.
[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.
If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:
[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]
[tex]\dot r \approx -316.760\,km[/tex]
The rate of change of the distance between the airplanes is approximately 316.760 kilometers.
find the measure of the missing angle
Answer:
28 i think [⩾▾⩽]
Step-by-step explanation:
since this is a right angle, all you have to do is subtract 62 from 90 because a right angle is equal to 90 degrees.
hope this helps^^
have a great day :D
Can someone please help me ASAP! Thanks :)
how do you interpret 6.0 in graph
Answer:
go six units on the x-axis and move no spaces up or down.
Step-by-step explanation:
What is 5600 in expanded from
The expanded form of a number is every digit with its own zero's and its own SINGLE digit. For example, the expanded form of 12 is 10+2=12, or the expanded form of 13498 is 10000+2000+400+90+8=13498.
We can now figure out that 5600 in expanded form is 5000+600+00+0=5600, but the extra 00+0 is not neccessary, so our final answer is 5000+600=5600
:)
POINTSS GIVEAWAY!!!!!!!!!!! WHOEVER GETS THEM, YAYYY AND FOR THOSE WHO DONT I HOPE BOTH SIDES OF YOUR PILLOW ARE COOL TONIGHT, REMEMBER TO STAY HYDRATED, TAKE YOUR MEDS AND EAT SOMETHING, STAY SAFE MY LUVS❤
Answer:
lets go
Step-by-step explanation:
YAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAY
Tim deposits $4,000 into each of two savings accounts.
• Account I earns 3% annual simple interest.
• Account II earns 3% interest compounded annually.
Tim does not make any additional deposits or withdrawals. What is the sum of the balances of Account I and Account II at the end of 2 years?
$8,480
$8,480
$8,483.60
$8,483.60
$8,487.20
$8,487.20
$8,240
Answer:
I think its $8,480 if not I'm sorry
Answer:
8483.60 I had this question too and decided to help you.
How many cubic feet will it take to fill the prism below?
A.560
B.280
C.480
D.210
Answer:
580
Step-by-step explanation:
I wanted to use the Pythagoras theory but I noted that they've given us the hypotenuse which is 8.6 they have already given us the height is 7 and the base is 5 when you use the Pythagoras theory you'll find that there hypotenuse is 8.6 that's why I wrote forget it there's no need of finding the base and the height for the other triangle just transfer 7 and 5 then calculate the volume I guess I got the answer is 580 hope it helps you good day.
What are skew lines in geometry and how do you
identify skew lines?
Step-by-step explanation:
Skew lines are two or more lines that do not intersect, are not parallel, and are not coplanar. (Remember that parallel lines and intersecting lines lie on the same plane.)
If y equals 14, what does x equal in the following equation?
у = 3х - 7
1) x = 4
2) x = 5
3) x = 6
4) x = 1
Answer: the answer choices listed above are wrong the correct answer would be 7
Step-by-step explanation:
In circle D, line AB is perpendicular to line CD. Use the diagram to answer a-b. Leave answers in radical form when necessary.
Answer:
AB = 48
AD = 7√2
Step-by-step explanation:
since AD - 26, DB = 26 and DC = 26
AE² = 26² - 10² = 676 - 100 - 576
AE = √576 = 24
AB = 2 x 24 = 48
If arc BC is 45°, then ∠BDC = 45°
AD² = 7² + 7² = 49 + 49 = 98
AD = √98 = 7√2
What are the solutions to the system of equations? y=2x^2−6x+3 y=2x+3
Answer:
Step-by-step explanation:
y=2x²-6x+3
y=2x+3
2x²-6x+3=2x+3
2x²-6x+3-2x-3=0
2x²-8x=0
2x(x-4)=0
x=0,4
y=0+3=3
and y=2(4)+3=11
so solutions are (0,3) and (4,11)
Jordan earned $200 this month delivering newspapers. His mom said he must put 20% into his savings account. He wants to buy headphones that cost $ 99.95 and two shirts that cost \$17 each. He also has to pay 7% sales tax on his purchases . Jordan said, "No problem. I will put 20% into savings , buy the things I want, and still have about $10 left." Use estimation to determine if Jordan's calculation is reasonable. Show your work.
Answer:
Yes, his calculation is reasonable. He will have about $16.67 left.
Step-by-step explanation:
200 - (200 * .2) = $160 Subtract money for savings
99.95 + (99.95 * .07) + (17*2) + (17 * .07) + (17 * .07) = $143.33 Add taxes
160 - 143.33 = $16.67 Subtract money for purchases from money left after savings
An owner of a small store knows that in the last week 52 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which fraction is closest to the probability that the next customer will pay with cash?
A. 1/5
B.1/4
C.1/3
D.1/2
Answer:
around 1/4
Step-by-step explanation:
Need help on this question asap pleasee
Answer:
4th option
Step-by-step explanation:
The chord- chord angle 67.5° is half the sum of the arcs intercepted by the angle and its vertical angle, that is
67.5 = [tex]\frac{1}{2}[/tex] (x + 90)
5. Identify each relation that is a function.
Answer:
Looks like we got the same packet so i'll answer all of the questions you wrote on it.
The answers are: B, C, and F
Answer:
B C and F
Step-by-step explanation:
What is an equivalent expression for 1.5(3x + 4) + 0.25(6x + 8)?
x +
Answer:
6x+8
Step-by-step explanation:
Answer:
6x+8
Step-by-step explanation:
i just got i right
what is the correct solution to-3x < 21?
Answer:
x > - 7
Step-by-step explanation:
Given
- 3x < 21
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.
x > - 7
The solution of inequality - 3x < 21 is,
⇒ x > - 7
We have to given that,
The inequality is,
⇒ - 3x < 21
We can simplify the inequality as,
⇒ - 3x < 21
Divide 3 both side,
⇒ - 3x /3 < 21 / 3
⇒ - x < 7
Take - 1 as common,
⇒ - x < 7
⇒ x > - 7
Therefore, The solution of inequality - 3x < 21 is,
⇒ x > - 7
Learn more about the inequality visit:
https://brainly.com/question/25944814
#SPJ6
which function has the largest rate of change?
O Y = 2
X
1
6
3
12
5
18
y
15
y=
0
1
2.5
WN
3
1.5
y
3
Answer:
The second one.
Step-by-step explanation:
For first function y = 2x the rate of change = 2.
Second function: rate of change = (12-6)/(3-1) = 6/2 = 3
Third: it's -0.2.
Fourth: it's (2.5 -3)/ 1= -0.5.
can someone help me with this please
Answer:
i have done this so its 2
Step-by-step explanation:
Someone plz help me
Answer:
13
------
28
I think that's the answer
⛔️NO LINK JUST WANT ANSWER NONE OF THAT BIT.L STUFF⛔️The biggest frog on record
is the goliath frog. These
frogs can be up to 3.3
kilograms and can jump a
distance of 3 meters. If the
goliath frog was found i
km from the nearest water,
about how many jumps
would he have to take to
get a drink?, JUST TYPE THE ANSWER NO FILES
Answer:
The answer would be 333.334 jumps.
Step-by-step explanation:
So remember, there are 1000 meters in 1 kilometer. The frog can jump 3 meters. The nearest water is 1 kilometer. So, lets divide 1 km(1000m) by 3m:
1000/3
=
333.34
This is the answer.
Hope this helps!
PLEADE HELP I WILL MARK YOU AS BRAINEIST
Answer:
83
Step-by-step explanation:
a = 25
The biggest angle is (3a+8) = 83
Answer:
83
Step-by-step explanation:
(3a+8)+(60-a)+(4a-38)=180
combine like terms, 6a+30=180
inverse operation to isolate the variable, 6a=150
divide six on both sides, a=25
replace a in every expression, 3(25)+8=83
60-25=35
4(25)-38=62
83 is biggest out of the three, therefore 83 is the answer.
Find x
Please help !
Will give BRAINLIEST
No links !
TExit Statistics & Probability - 1/5 The Jackson family has 4 kids, 4 boys and 0 girls. Suppose that for each birth, the probability of a boy birth is 1/2, and the probability of a girl birth is also 1/2. What is the fractional probability of having 4 boys and 0 girls, in any order, in a family's first 4 births?
Answer:
The fractional probability of having 4 boys and 0 girls, in any order, in a family's first 4 births is 1/16
Step-by-step explanation:
Total number of kids in Jackson family = 4 (4 boys and 0 girls)
Probability of having a boy = 1/2 =0.5
Probability of having a girl = 1/2 =0.5
Fractional probability of having 4 boys and 0 girls in any order
(1/2*1/2*1/2*1/2) + 0
= 1/16
i dont know how to do this question
9514 1404 393
Answer:
7 1/3 hours
Step-by-step explanation:
We are to assume that the total number of heater-hours required is a constant. That is, the time is inversely proportional to the number of heaters.
If the number of heaters goes up by a factor of 6/4 = 3/2, then the number of hours will go down by the inverse factor: 2/3.
With 6 heaters instead of 4, the time required is (2/3)(11 hours) = 7 1/3 hours.
Solve the Quadratic Equation for x
x^2-2x+11=0
no spams pls first part is x squared, if u need clarification
Find the area of this regular polygon if s = 11 and a = 8
Answer:
599.401
Step-by-step explanation:
Which three of the following sets of angle measures could represent the measures of the angles of a triangle?
To figure this out we keep in mind two rules
1. A triangles sum of angles is 180
2. An angle of a triangle can not be 0
So the answer is the following
2, 3 & 4
(っ◔◡◔)っ ♥ Hope It Helps ♥
fraction 7/10
percentage
Answer:
70%
Step-by-step explanation:
7/10 = 0.70 x100 = 70%