Answer:
DL/dt = 1000 miles/hour
Step-by-step explanation:
Let´s call A Point for the airplane at 70 miles from the point O (converging point), and point B for the airplane at 240 miles from point O.
Then the three-points A, B, and O shape a right triangle with legs (distances from each of the airplane to point O, and hypotenuse L distance between the two airplanes
Then according to Pithagoras´theorem:
L² = (AO)² + (BO)²
At the moment t when the airplanes are far away as 70 and 240 miles per hour
L² = (70)² + ( 240)²
L² = 4900 + 57600
L = √62500
L = 250 miles
In general
L² = x² + y²
That equation is always valid for a right triangle if the airplanes are approaching keeping the right triangle shape then:
L² = x² + y² where x and y are the legs ( that legs change in time then):
Tacking derivatives on both sides of the equation
2*L*DL/dt = 2*x*Dx/dt + 2*y*Dy/dt
By substitution: since Dx/dt = 280 m/h and Dy/dt = 960 m/h
2*(250)*DL/dt = 2*70*280 + 2*(240)*960
500*DL/dt = 39200 + 460800
DL/dt = 500000/ 500
DL/dt = 1000 miles/hour
A list of numbers is shown; 1 2 3 4 5 6 7 8 9 10
what is the median
A.2
B.4
C.9
D.10
Answer:
5.5
Step-by-step explanation:
We have a list of 10 numbers (n = 10) ordered from lower to higher.
1 2 3 4 5 6 7 8 9 10
The median is the value separating the higher half from the lower half of a data sample. Since n is even, there is no middle value and the median is defined as the mean between the two middle values, in this case, 5 and 6. Then,
median = 5 + 6 / 2 = 5.5
Specialized license plates have seven permissible characters: letters, numbers, a dash (-)
and the ampersand (&). How many custom plates are available?
Answer:
[tex]Total = 38^7[/tex]
Step-by-step explanation:
Given
[tex]Plate\ Number = 7\ characters[/tex]
[tex]Letters \to 26[/tex] [tex]\to [A- Z][/tex]
[tex]Numbers \to 10[/tex] [tex]\to [0 - 9][/tex]
[tex]Dash \to 1[/tex] [tex]\to [ - ][/tex]
[tex]Ampersand \to 1[/tex] [tex]\to [\&][/tex]
Required
Number of possible characters
Since the order and ways of selecting each character is not selected, then it means that any of the permissible character can occupy any of the 7 available spaces, with repetition.
The total possible characters (n) is:
[tex]n = 26 +10 + 1 + 1[/tex]
[tex]n = 38[/tex]
Any of the 38 characters can occupy any of the 7 spaces.
Hence, the total number of character is:
[tex]Total = n^7[/tex]
[tex]Total = 38^7[/tex]
determine the perimeter of quadrilateral CGHI
Answer:
if the sides are 2, 3, 4.2, 2.6 then the perimeter is 11.8
Step-by-step explanation:
just add them together
You start driving east for 18 miles, turn right, and drive south for
another 5 miles. At the end of driving, what is your straight line
distance from your starting point? Round to the nearest tenth of a
mile.
Answer:
18.7
Step-by-step explanation:
Use the Pythagorean Theorem.
Simplify.
Simplify.
Square root both sides
Simplify. Ignore negative root, as length must be positive.
Round to the nearest tenth.
Answer:18.7
Step-by-step explanation:
find the area of the triangle. Round
your answer to the nearest tenth.
Answer:
180 i think
Step-by-step explanation:
Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is 7, Hannah wins. If the sum is not 7, Corrine wins. Corrine says Hannah can win only if the following occurs:
1 on the first cube, 6 on the second cube
2 on the first cube, 5 on the second cube
3 on the first cube, 4 on the second cube
Which best explains if Corrine is correct?
Corrine is correct because there are only three ways to have a sum of 7 when the cubes are rolled.
Corrine is correct because there are no 7s on the cubes, so Hannah must roll a greater number on the second cube.
Corrine is not correct because Hannah can also roll doubles on the cubes, such as 3 on the first cube and 3 on the second cube or 4 on the first cube and 4 on the second cube.
Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
Step-by-step explanation:
To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:
1 on the first cube, 6 on the second cube
or
6 on the first cube, 1 on the second cube
2 on the first cube, 5 on the second cube
or
5 on the first cube, 2 on the second cube
3 on the first cube, 4 on the second cube
or
4 on the first cube, 3 on the second cube
Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
3) Assume the point of tangency at the
diameter. Solve for the value of x (be
careful, there is a trick!)
18
7.1
If a fair coin is tossed 7 times, what is the probability, to the nearest thousandth, of getting exactly 5 heads?
Answer:
0.164
Step-by-step explanation:
delta math said so but
n=7 ; r=5; p=1/2
q= 1- 1/2 = 1/2
7c5(1/2)^5 (1/2)^2 = 0.16406 which is 0.164
PLEASE! Is this correct?
Find m∠1. 40 35 30 55
Answer:
m∠ = 90° - 40 = 50°
m∠ = 90° - 35 = 55°
m∠ = 90° - 30 = 60°
m∠ = 90° - 55 = 35°
Answer:
35 Degrees
Step-by-step explanation:
Here is the third problem:)
Answer:
15.0
Step-by-step explanation:
we are finidng the adjacent angle, they have given us the opposite and the missing adjacent side so we use tan
tan25=7/x
since x is at the bottom then switch
x= 7/tan25
x= 15. 012
Answer:
x = 15.01
Step-by-step explanation:
Given degrees 25
Since x is between the right angle and 25, x is adjacent
7 being the other shortest side would be the opposite
Given adjacent and opposite, you can use tangent
Tangent = opposite/adjacent
Tan(25) = 7/x
0.4663076582 = 7/x
x = 7/0.4663076582 (use calculator)
Solution: x = 15.0115484421
HELPPPPPPP PLEASE. IM SO CONFUSED IM WEIRD
I think that the answer is A.
What are the zeros of the function y = 2x2 + 9x+4 ?
Help pls! ;-;
Answer:
x = {-4, -1/2}
Step-by-step explanation:
2x² + 9x + 4 = 0
Factor
(2x + 1)(x + 4) = 0
2x + 1 = 0
x = -1/2
x + 4 = 0
x = -4
x = {-4, -1/2}
Decimal of 0.516÷4 With process
can anyone help me with this?
Answer:
x = 51
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Which means that 77 + 107 + 156 + 149 + x = 540
^ ( note that we just created an equation that we can
use to solve for x )
We then solve for x using that equation
77 + 107 + 156 + 149 + x = 540
step 1 combine like terms
77 + 107 + 156 + 149 = 489
we now have 489 + x = 540
step 2 subtract 489 from each side
489 - 489 cancels out
540 - 489 = 51
we're left with x = 51
I would greatly appreciate if you could solve this 4 me. Thank you!
Answer:
B would be your Answer
Step-by-step explanation:
There are three 2s, one 2 1/4, three 2 1/2, two 2 3/4, and one 3 (which is all displayed on B).
Hope this helped :)
What is the volume of the cylinder below?
Answer:
[tex]Volume=80\pi[/tex] [tex]units^{2}[/tex]
Step-by-step explanation:
Perpendicular height of the base of cylinder h = 5 units
Slant height I = 6 units
Radius of the cylinder r = 4 units
Volume of the lateral cylinder is
[tex]V = \pi r^{2} h[/tex]-----------(1)
Where r is radius of the cylinder
And h is perpendicular height of the base of cylinder.
Now, we substitute r and h value in equation 1.
[tex]V=\pi[/tex] × [tex]4^{2}[/tex] × [tex]5[/tex]
[tex]V=\pi[/tex] × [tex]16[/tex] x [tex]5[/tex]
[tex]V=\pi[/tex] × [tex]80[/tex]
[tex]V=80\pi[/tex] [tex]units^{2}[/tex]
Therefore, the volume of the given cylinder is [tex]80\pi[/tex] [tex]units^2[/tex].
A new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year. What will the value of the car be, to the nearest cent, after 15 years?
Answer:
1137004: A new car is purchased for 17000 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 12 years?
Step-by-step explanation:
James wants to 3D-print 8 model car pieces per hour for 10 hours. He can produce 5 model car
pieces using 50 grams of plastic.
How many grams of plastic will he need?
Answer:
80 grams of plastic
Step-by-step explanation:
5 model cars -- 50 grams
1 model car -- (50/5) = 10 grams
8 model cars -- (10 * 8) = 80 grams
Thenks and mark me brainliest :)))
You are going to estimate how long a person holds down a button on their calculator by randomly selecting people and asking them to do something on your calculator (which has a special timer to record how long the enter button is pressed). You practiced on the people at work and found a standard deviation of about 0.37 seconds. You want to get a 94% confidence interval that is only 0.06 in width. How many people do you need to have in your study
Answer:
You need to have 538 people in your study.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.94}{2} = 0.03[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.03 = 0.97[/tex], so Z = 1.88.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
You practiced on the people at work and found a standard deviation of about 0.37 seconds.
This means that [tex]\sigma = 0.37[/tex]
You want to get a 94% confidence interval that is only 0.06 in width.
This means that [tex]M = \frac{0.06}{2} = 0.03[/tex]
How many people do you need to have in your study?
This is n for which M = 0.03. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.03 = 1.88\frac{0.37}{\sqrt{n}}[/tex]
[tex]0.03\sqrt{n} = 1.88*0.37[/tex]
[tex]\sqrt{n} = \frac{1.88*0.37}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.88*0.37}{0.03})^2[/tex]
[tex]n = 537.6[/tex]
Rounding up:
You need to have 538 people in your study.
You have 10 shirts. How many ways can
you select 5 shirts to pack for a trip?
Answer:
their is 50 ways.......
The possible combination, 252 ways you can pack shirts for a trip.
What is a permutation?Mathematical calculations are used to determine the number of different configurations for a given set, and this procedure is referred to as permutation. A permutation is a phrase that, simply put, refers to the diversity of alternative configurations or ordering. When employing permutations, the sequence of the arrangement is crucial.
Formula for combination is
n!/(r! x (n-r)!),
where n is a number of shirts and r is the shirts selected.
In combination,
order doesn’t matter, as opposed to permutation.
According to the question,
n = 10 and r = 5
Then substituting the above values to the formula,
that means,
10! / ( 5! x 5!)
= 10x9x8x7x6 / ( 5x4x3x2x1)
= 252
Therefore, You can pack 5 shirts in 252 ways.
To learn more about the permutation;
https://brainly.com/question/1216161
#SPJ2
A cone has a height of 20 centimeters and a radius of 18 centimeters. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
6785.84
Step-by-step explanation:
1
1
1
4
2
4
2
2
3
9
343
4 16
4
1
B
D
y
ху
1 12
1 3
2
1
25
3 3/2
37
4
2
9
Which table shows y as DIRECTLY PROPORTIONAL tox?
0
A)
A
B)
B
D
D
D
Answer:
what are you trying to do or say
Please If you plan to help me with any of these and respond to I would be grateful please show that this application is for good answers God bless you
Answer:
Step-by-step explanation:
Whether you’re job searching, working on your professional development, or building your career, you’ve probably been in a situation that warranted showing appreciation and gratitude. Perhaps you received a job lead and a pep talk from a former colleague. Maybe you had an informational interview with someone who has now taken you under their wing and is serving as a mentor. It might even be a family member who’s your greatest fan. Whatever the situation, one way to show gratitude is to write a thank-you note that expresses your appreciation.
A rectangular yard has dimensions 10 meters by 8 meters. In the middle of the yard is a rectangular pond of 8 square meters, leaving a uniform walkway around the pond. Write a quadratic equation in standard form to find the width of the walkway.
hahahaha i had this same question in my grade
!!!!!!Please help ASAP!!!!!
AB and BC form a right angle at their point of intersection, B. If the coordinates of A and Bare (14, -1) and (2, 1), respectively, the y-intercept of AB is 4/3 and the equation of BC is y= 6 X + If the y-coordinate of point Cis 13, its x-coordinate is
Answer:
Step-by-step explanation:
Segments AB and BC intersect each other at 90° at B.
Let the equation of the segment AB → y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the line AB passing through A(14, -1) and B(2, 1)
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{1+1}{2-14}[/tex]
= [tex]-\frac{2}{12}[/tex]
= [tex]-\frac{1}{6}[/tex]
Equation of the line will be,
[tex]y=-\frac{1}{6}(x)+b[/tex]
Since, AB passes through (2, 1)
[tex]1=-\frac{1}{6}(2)+b[/tex]
[tex]b=1+\frac{1}{3}[/tex]
[tex]b=\frac{4}{3}[/tex]
Therefore, y-intercept of AB = [tex]\frac{4}{3}[/tex]
Equation of AB → [tex]y=-\frac{1}{6}(x)+\frac{4}{3}[/tex]
Since, line BC is perpendicular to AB,
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
Here, [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of line AB and BC respectively.
By this property,
[tex]-\frac{1}{6}\times m_2=-1[/tex]
[tex]m_2=6[/tex]
Equation of a line passing through a point (h, k) and slope 'm' is,
(y - k) = m(x - h)
Therefore, equation of line BC passing through B(2, 1) and slope = 6,
y - 1 = 6(x - 2)
y = 6x - 11
Since, line BC passes through C(x, 13),
13 = 6x - 11
6x = 24
x = 4
Therefore, x-coordinate of point C will be, x = 4
3
4
5
I
9
Which is equivalent to 64 1/4?
3/12 is equivalent to 1/4 because 1 x 3 = 3 and 4 x 3 = 12. 4/16 is equivalent to 1/4 because 1 x 3 = 4 and 4 x 3 = 16. and so on ... Equivalent fractions may look different, but when you reduce then to the lowest terms you will get the same value.
Start at the origin. Move 2 units right and 8 units up. What is the ordered pair for this point? pls help ASAP
Answer: (2,8)
Step-by-step explanation:
The origin is the point (0,0), so when you move two units right you land on the x-value of 2. From there you then add 8 units, putting you at the y-value of 8. Therefore, you end with the point (2,8) after this translation.
Help please it important
corresponding angle because 1 is correspondence to 45 degree
Don't give me a link.
Answer:
x = 3
Step-by-step explanation:
6(x+1) = 24
x+1 = 4
x = 3
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
x = 3
Step-by-step explanation:
Math solution to equation
6(x + 1) = 24
Divide both sides by 6
x + 1 = 4
Subtract 1 from both sides
x = 3