Answer: 110 feet per second
Step-by-step explanation:
In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.
Now we can calculate the speed of the trains in feet per second so:
[tex]S1=\frac{45*5280}{3600}=66[/tex]
[tex]S2=\frac{60*5280}{3600}=88[/tex]
So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:
[tex]h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}[/tex]
[tex]h=\sqrt{12100}=110[/tex]
Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.
In this exercise we have to use the knowledge about distance to calculate the time that a route with a car will be carried out, in this way we find:
[tex]H= \sqrt{12100}=110[/tex]
In this question we will acquire that the vehicle driven on streets at 45 5 per period exist mobile into the x direction accompanying a extreme of 100 extremities, and the train happen going fashionable the y course, so they course will fashioned an angle of 90º.
[tex]S_1=(45*5280)/3600=66\\S_2=(60*5280)/3600=88[/tex]
So we can curve trio accompanying edge 66 and 88 and the hypotenuse will exist the rate that the trains will separate per second so:
[tex]H=\sqrt{(66^2+88^2}=\sqrt{(4356+7744} \\=110[/tex]
See more about distance at brainly.com/question/989117
i need this done fast
Answer: 1) V≈1244.07 in 2) V≈54286.72 ft 3) V≈23816.41 yd
Step-by-step explanation:
how to find the vat on 14% of 1800
Answer:
14/100*1800
25200/100
252
Step-by-step explanation:
therefore vat=252
HELP PLISS
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answer:
It's Cos.
Hope this helps
I GIVE BRAINLIEST!!! Derek wants to save up for a new baseball glove. The price of the glove with tax is $385. If he can save $65 per month , how many months will it take him to save up for the glove?
Answer:
6
Step-by-step explanation:
385/65= about 6 but technically its like 5.92307...
Step-by-step explanation:
Price of glove with tax = 385
Money saved per month = 65
Months needed for Derek to save enough money
= 385/65
= 5.923 months
If [×] =5 what is the value of x?
Answer:
x = 5
Step-by-step explanation:
I didn't quite understand what you were asking but x should equal 5
Answer: 1 is the answer because nothing time _ will equal 5 but 1 times anything equal that number So its 1
Uzupełnij rozwiązanie podanego równania.
a) 4x+ 5 = 2x-3 1-5
b) 4x - 8 = 6 – 3x | +8
4x+5-5=2x-3-5
4x – 8+8 = 6 - 3x + 8
4x=-3x+
1+3x
4x = 2x -_- 2x
4x - 2x =
4x + 3x =
1:2
Answer:
4x+5=2x-3 1-5
4x-2x=-3+1-5-5
2x=-2
[tex] \frac{2x}{2} = \frac{ - 2}{2} [/tex]
x=
[tex]x = \frac{ - 2}{2} [/tex]
Can somebody please help me. I am really stuck and the tutor option really isn’t working!!!!
Answer:
its fourth one in my opinoin
Hello can someone answer this question please
1/4 = 0.25 is the largest value..
It is right answer....
What is the third quartile, Q3, of the following distribution? 10,25,18,31,16,27,5,13,32,24,15,21,18,18,24,4,8,11,11,23
Bonus problem. Find the ratio a :b if it is given that 3a=8b
Answer:
[tex]a:b = 8:3[/tex]
Step-by-step explanation:
To find the ration, we want to get in equation in the form [tex]\frac{a}{b} =\frac{x}{y}[/tex].
We can start by dividing by b on both sides:
3a = 8b
÷b ÷b
[tex]\frac{3a}{b} = 8[/tex]
Now, we can divide by 3 on both sides to get:
[tex]\frac{a}{b} = \frac{8}{3}[/tex]
We can change the format into a ratio:
[tex]a:b = 8:3[/tex]
You are the manager of a movie theater, and you are
analyzing attendance data from last weekend. On
Friday evening, 285 people come to see a new
animated movie. On Saturday evening, 355 people
come to see the same movie.
What is the approximate percent increase in
attendance?
Answer:
total number of people on Friday = 285
total number of people on Saturday = 355
total increment = 355-285 = 70
total increase percentage = 70÷285*100
= 24.56%
hope it helps!
Which pair of expressions below are equivalent (the same)?
1. 2x + 2y and 4xy
2. 3(x + 4) and 3x + 12
3. 7x + 6x and 42x
4. 5x + x + x and 6x
Please help it’s a test !
Answer:
2.
Step-by-step explanation:
2. because 3(x+4) if we distribute 3 in parenthesis we have 3x+12
if the sum of two consecutive odd number is 20 find the number
Answer:
Step-by-step explanation:
let a number be x
let another number be x+1
x+x+1=20
2x=20-1
x=19/2
x=9.5
therefore one number is 9.5 and another number is x+1=9.5+1=10.5
[tex]\huge{ \mathrm{ \underline{ Answer} \: \: ✓ }}[/tex]
Let the Consecutive odd numbers be x and x+2
[tex]x + x + 2 = 20[/tex][tex]2x = 20 - 2[/tex][tex]2x = 18[/tex][tex]x = 9[/tex]Therefore, the numbers are :
[tex]x = 9[/tex][tex]x + 2 = 11[/tex]______________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Find the slope of the line tangent to the function y=6-3x at the point (5,0)
Answer:
-3
Step-by-step explanation:
To get the slope of the line tangent to the function y = 6 - 3x
First, we need to differentiate;
dy/dx = 0 -3x^{1-1}
dy/dx = 0 - 3x^0
dy/dx = 0 - 3
dy/dx = -3
Hence the slope of the line tangent to the function at the point is -3
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.9 minutes and a standard deviation of 2.9 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway.
(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)
(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)
(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
Answer:
a) 0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.
b) 0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes
c) 0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 8.9 minutes and a standard deviation of 2.9 minutes.
This means that [tex]\mu = 8.9, \sigma = 2.9[/tex]
Sample of 37:
This means that [tex]n = 37, s = \frac{2.9}{\sqrt{37}}[/tex]
(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes?
320/37 = 8.64865
Sample mean below 8.64865, which is the p-value of Z when X = 8.64865. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{8.64865 - 8.9}{\frac{2.9}{\sqrt{37}}}[/tex]
[tex]Z = -0.53[/tex]
[tex]Z = -0.53[/tex] has a p-value of 0.2981
0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.
(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes?
275/37 = 7.4324
Sample mean above 7.4324, which is 1 subtracted by the p-value of Z when X = 7.4324. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{7.4324 - 8.9}{\frac{2.9}{\sqrt{37}}}[/tex]
[tex]Z = -3.08[/tex]
[tex]Z = -3.08[/tex] has a p-value of 0.001
1 - 0.001 = 0.999
0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes.
(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes?
Sample mean between 7.4324 minutes and 8.64865 minutes, which is the p-value of Z when X = 8.64865 subtracted by the p-value of Z when X = 7.4324. So
0.2981 - 0.0010 = 0.2971
0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes
Find the value of h.
Question 6 options:
A)
51.995
B)
28.321
C)
62.003
D)
95.476
Answer:
D. 95.476.
Step-by-step explanation:
sin 33 = 52/h
h = 52/sin 33
h = 95.476.
Answer:
Step-by-step explanation:
We will use right triangle trig and SohCahToa here to solve this. The side across from the angle marked as 33 degrees is given as 52; we are looking for h, the hypotenuse. The trig ratio that uses the the side across from the reference angle along with the hypotenuse is the sin ratio. Setting up the equation:
[tex]sin33=\frac{52}{h}[/tex]. Multiply both sides by h and then divide by sin(33) to get
[tex]h=\frac{52}{sin33}[/tex] so
h = 95.476, choice D.
Make sure your calculator is in degree mode and not radians when your angles are given in degrees
find the radius of a circle if the circumference is 66cm
Answer:
Approximately 10.5, or 10.5095541.
Step-by-step explanation:
To find the radius given the circumference of a circle, we first have to divide the circumference by pi, or an estimation of 3.14. This will give us the diameter.
Since we know that the radius of a circle is simply half the diameter, we divide the number we got from the problem above by 2. This will give you your answer!
Answer:
r = 10.50
Step-by-step explanation:
Circumference =
[tex]2\pi \: r[/tex]
[tex] 66 = 2\pi \: r[/tex]
[tex] \frac{66}{2\pi} = r[/tex]
r = 10.5
If AnB={1,0,-1} and AnC ={0,-1,2,3} then find An(BuC)
A n B = { 1 , 0 , - 1 }
A n C = { - 1 , 0 , 2 , 3 }
_________________________________
A n ( B U C ) =
( A n B ) U ( A n C ) =
{ - 1 , 0 , 1 } U { - 1 , 0 , 2 , 3 } =
{ - 1 , 0 , 1 , 2 , 3 }
Help please worth 57 points
Answer:
Always, always.
Wanda Frey insured her home for $156,400. Her annual insurance rate is $0.83
per $100. What annual premium did she pay?
Answer:
$1,298.12
Step-by-step explanation:
there are 1564 hundreds in 156,400
so 1564 x .83 = 1298.12
Given m|n, find the value of x.
(6x-4)°
(3x+4)°
Answer:
6x-4+3x+4=180{ straight angel}
9x=180x=180/9x=20°stay safe healthy and happy.....Find the volume of a sphere with a radius of 9 inches. Use 3.14 for π. Round your answer to the nearest tenth..
find the 10th term of the geometric sequence 8, -24, 72...
Answer: -157,464
Step-by-step explanation:
an=a^1*r^n-1
a10=8*-3^10-1
a10=8*-3^9
a10=8*-19683
a10=-157464
Answer:
a10 = -157,464
Step-by-step explanation:
a1 = 8
a2 = -24
r = a2/a1 = -3
an = a1 × r^(n - 1)
a10 = a1 × (-3)^(10 - 1)
a10 = 8 × (-3)^(9)
a10 = -157,464
Pls I need help ASAP rn
Answer:
A) 48
Step-by-step explanation:
Given:
b = 16
c = 20
Pythagorean thm:
a² + b² = c²
a² + 16² = 20²
a² + 256 = 400
a² = 144
a = 12
To find perimeter:
P = a + b + c
P = 12 + 16 + 20
P = 48
og ready.com/student/dashboard/home
A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle mo
each time the wheel goes around? (Use as an approximation for 7.)
88 inches
64 inches
44 inches
56 inches
Answer:
88 in
Step-by-step explanation:
we have to find the circumference of the circle which is ;
C = pie d
= 22/7 x 28
= 88 in
Simplify the ratio
6 doctors to 27 patients
Answer:
2 doctors to 9 patients
Step-by-step explanation:
Divide each by 3. They cant be simplified more.
Can someone please help?
Answer:
It is closer to 7,000 than 8,000
does anyone know this?
Answer:80^w2−48
Step-by-step explanation:
Answer:
If You Factor it it will be (w+8) (5w2-3)
Step-by-step explanation:
Pls help, answer within 5 minutes
Answer: I thin it’s Opposite of 2
Step-by-step explanation:
Answer:
The distance between A and D
Step-by-step explanation:
when it is |-2| (in the box) it changes to 2
C. 20 people show up to the party, and Robert decides to give them each the
same amount of pizza. How much pizza does each person get?
Answer:
Step-by-step explanation:3/5 of the pizza