Answer:
The answer is 4√3 MPH. Here's why:
(I refer to North friend as Bob, West friend as Joe, and Northeast friend as Kelly. I also refer to locations as 'points'.
Another note, just to clarify: To divide 2 radicals (Ex: 6√4 / 2√2), you need to divide the numbers outside the radical symbol by each other, and then divide the numbers inside the radical symbol by each other.
(6√4 / 2√2 would equal 3√2, because 6 divided by 2 is 3, and 4 divided by 2 is 2.
1. Ignoring Kelly, for now, we need to find a point that is of equal distance away from the other two friends. We can do this by drawing a square, using the 3 points, with side lengths of 4, since we know that they live 4 miles apart. The middle of this square is the place they have to meet since it is of equal distance from each point
2. Now we need to find the distance from Bob to Joe, (aka the slope). Pythagorean's Therom says that for a right triangle, (height)²+(base)²=(hypotenuse)². Therefore, (4)²+(4)²=(x)², where x is the hypotenuse. This can be simplified to 32=x². Therefore, the slope is √32. When we simplify the radical, it becomes 4√2. However now, we need to divide this by 2, because each friend is only going halfway across the slope. This means that each friend will travel 2√2 miles.
3. We know the Time(T)=Distance(D)/Speed(S). Therefore, the time for each friend to reach the location will be 2√2/4. The speed is 4 because the friends go 4 MPH. This information will come into play later on.
4. Now we need to find out the MPH Kelly should go to reach that same point as the rest of her friends. First, however, we need to find the distance from her point to the meeting point. We can use Pythagorean's Therom again because the meeting point, my point, and Kelly's point all form a right triangle. Again, (height)²+ (base)²= (hypotenuse)². Therefore, (4)²+(2√2)²=y², where y is the distance from Kelly to the meeting point. This simplifies to (16) + (8) = (y²). 16+8=24, therefore y is √24 miles. We can simplify this to 2√6. Now we know that the distance from Kelly to the center point is 2√6 miles, we can find the speed.
5. As already stated, T=D/S. In order for all friends to meet at the same time, the amount of time it takes for Group 1 to reach the center point must be equivalent to Kelly's.
We learned earlier that 2√2/ 4= T. This means that 2√2 / 4 = 2√6 / z. This is because 2√6 was the distance Kelly lived away from the center point, and we know that since the time will be the same, the fractions will be the same.
6. Now we can cross simplify: (4)(2√6)=(2√2)(z). This reduces to (8√6)=(2√2)(z). When we divide each side by 2√2, we get our answer, 4√3
Therefore, Kelly needs to ride 4√3 MPH on her bike in order to reach her friends at the same time. Hope this helps :)
Step-by-step explanation:
All 3 friends will meet at 2√2 miles away from my house in the North-East direction.
From, Pythagorean theorem:(AC)² = (AB)²+(BC)²
Where,
AC = Distance between first and second friend's home = ?
AB - Distance of first friend's home = 4 miles
BC - Distance of second friend's home = 4 miles
Put the values in the formula,
[tex](AC)^2 = (4)^2+(4)^2\\\\AC= \sqrt {32}\\\\AC = 4 \sqrt{2}[/tex]
Since the midpoint of the hypotenuse is the point where all friends meet.
So,
[tex]x = \dfrac {4 \sqrt 2}{2} \\\\x = 2\sqrt 2[/tex]Therefore, all 3 friends will meet at 2√2 miles away from my house in the North-East direction.
Learn more about the Pythagorean theorem:
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QUICK !!! FAST 15 POINTS
I NEED HELP!!!!!
Answer:
ECB
Step-by-step explanation:
I noticed they looked exactly the same.
Answer:
It should be ΔABD, ΔECD, and ΔECD
Step-by-step explanation:
Since ΔABE is a right triangle, one angle must be 90° with a square to signify it.
solve for x
(21x-9)
27
x=
Answer:
x = 6
Step-by-step explanation:
∠ AFB and ∠ EFC are vertically opposite angles and are congruent , then
21x - 9 = 117 ( add 9 to both sides )
21x = 126 ( divide both sides by 21 )
x = 6
The measured valued of x is 6.
What are Vertical Angle?Vertical angles are generated by the junction of two straight lines that are not contiguous. Vertical angles are positioned across from each other in the corners of the "X" created by two straight lines.
We have,
<AFB = 21x- 9
and, <DFC = 27
Using Vertical Angle
<AFB = (<EFD + <DFC)
21x - 9= (90 + 27)
21x - 9 = 117
21x = 117 + 9
21x = 126
x = 6
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#SPJ2
Expand. 4(5x + 3) 4(5x + 3)
Wwwwwwww
Hope this helps
If the dress is 90 dollars Nd it’s on sale Nd it’s 35%off how much is the dress
Answer:
it would be $58.50
Step-by-step explanation:
3/7 x 2/5 will be greater than or less than or equal to 3/7
Answer:
less than because of 2/5 being so small
ning Attempt 1 of 3 SECTION 3 OF 4 QU Use the rule y=-x+ 7 to fill in the blank. If (1, .y) is on the graph, then y=
Answer:chili chuggen
Step-by-step explanation:
Which value of makes this equation true?
12 − 9 + = 12
Answer:
+9
Step-by-step explanation:
12-9+x=12
3+x=12
x=12-3
x=9
John took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4.70 plus $2.50 per mile. The total fare was $24.70, not including the tip. How many miles was the taxi ride?
Answer:
8
Step-by-step explanation:
You can solve this by creating a linear equation.
Slope: 2.50
Y-intercept: 4.70
y=2.50x+4.70
Since we know that the total fare was 24.70 we can plug it into the y.
24.70=2.50x+4.70
Now solve for the equation.
20=2.50x
8=x
So he went 8 miles with the taxi.
Total number or mile taxi run is 8 miles.
Given that;
Pick up charge = $4.7
Charges per mile = $2.5 per mile
Total fare = $24.7
Find:
Number of mile taxi ride
Computation:
Total fare = Pick up charge + [Total number or mile taxi run][Charges per mile]
24.7 = 4.7 + [Total number or mile taxi run][2.5]
[Total number or mile taxi run][2.5] = 24.7 - 4.7
[Total number or mile taxi run][2.5] = 20
Total number or mile taxi run = 20 / 2.5
Total number or mile taxi run = 8 miles
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3x + 4x and 5x + 2x are equivalent expressions.
True or False
Answer:true
Step-by-step explanation:
A police helicopter descends 128 feet to
hover 468 feet above the ground. Let h
represent the original height of the
helicopter. Write and solve an equation to
represent this situation.
Answer:
h - d = 477 meters
Where: h = original height
d = amount the helicopter descended
The original height of the helicopter is given to be h
Step-by-step explanation:
fill in the table below by finding the value of the function y = -2x + 3 at each of the inputs x = -1, x = 0, and x = 1.
Answer:
y=-2(-1)+3 y=5
y= -2(0)+3 y=3
y= -2(1)+3 y=1
would anyone mind helping me out! thanks
Answer:
what grade are you if I nay ask so I can asisiy
60in what is the area
Answer:
wdym 60 inches measures length (?????)
Answer:
Area = Side2
Step-by-step explanation:
genuinely don’t know how to do geometry.
Answer:
Im sorry for you this is too complex
The graph is
A. Neither even nor odd
B.odd
C.even
D. Symmetrical about the y axis
Answer:
Odd
Step-by-step explanation:
The function is odd because cubic functions are always odd.
Elise bought a dress that was discounted 35% off of
the original price of $140. What was
a: the amount of discount and
b : the sale price of the dress?
Answer:
a: $49
b: $91
Explaination:
a: 35% of 140 = 49
b: 140 - 49 = 91
You're welcome! <3
The amount of discount is $49 and the sale price of the dress is $91 and this can be determined by using the unitary method.
Given :
Elise bought a dress that was discounted 35% off of the original price of $140.
a) The unitary method can be used in order to determine the amount of discount. If the original price is $140 then the discounted price is given by:
[tex]=\dfrac{35}{100}\times 140[/tex]
Simplify the above expression.
= $49
b) The unitary method can be used in order to determine the sale price of the dress. If the original price is $140 then the selling price is given by:
[tex]=\dfrac{65}{100}\times 140[/tex]
Simplify the above expression.
= $91
For more information, refer to the link given below:
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answer this pls
don't send me a link
Answer:
2-1
4-2
6-3
8-4
Step-by-step explanation: It is a pattern
Answer:
6 adults to 3 children
8 adults to 4 children
Step-by-step explanation:
it is a pattern
Find the volume of the cylinder in terms of pi
Answer:
It's B
Step-by-step explanation:
Answer:
115.52
Step-by-step explanation:
The formula for finding the volume of a cylinder is [tex]\pi r^{2} *h[/tex]
Since this is in terms of [tex]\pi[/tex], we dont need to solve for that part.
3.8 * 3.8 = 14.44, then 14.44 * 8 = 115.52
I suggest writing down that formula, It comes in handy.
3) A packet of
rice is 821 g. It is divided into a
equal portions. What is the mass of each portion?
The base area of a square-based prism is 25 ft squared. One of the lateral faces of the prism is 30 ft squared. What is the surface area of the prism?
Step-by-step explanation:
Given data
lateral surface area= 30ft
base area of squared prism = 25 ft means height= 25
(therefore, square object length breadth and height same )
total surface area = lateral surface * height
= 30ft*25ft
=750 ft square.
it may be help you . please mark me as brainlist
thanks.
What is 972 divided by 5? PLEASE HELP!! AND IF THERE IS A REMAINDER PLS TELL ME. Ty!
Answer:
194.4
Step-by-step explanation:
The remainder is 4
Help me please thanks
Answer:
-5/9
Step-by-step explanation:
also for this one, you have to put x as 3, y as 4, and z as 1
4/3(3)-1
=4/9-1
=4/9-9/9
=-5/9
hope this helps xD
What is the length of the line?
Answer:
Im going to say 8
Step-by-step explanation:
Answer:
OK i know this is not exactly the answer but find out the area or how big the squares are the add it up and u got it i would be saying C but i dont know
Step-by-step explanation:
List and count all the outcomes for event E, in which the product of the two numbers rolled is odd.
Explain WHY the function y = tan x is graphed like
this such that it does not for a continuous function
Answer:
Those asymptotes give you some structure from which you can fill in the missing points. Find the vertical asymptotes so you can find the domain.
Please help, will give brainliest!!!!
Find the values of angles A, B, and C in this diagram and explain their
relationships to each other.
Answer:
A=20, B=60, C=80
Step-by-step explanation:
Supplementary angles are those which add to 180 o. Complementary angles are those which add to 90°
find the particular solution to the exact differentiable equation dy/dx=(2e^x)-cosx passing through the point (0,3)
Answer:
y = 2eˣ - sin x + 1
Step-by-step explanation:
dy/dx = 2eˣ - cos x
(0, 3)
Integrate dy/dx to find the original function.
y = 2eˣ - sin x + CSolve for C by substituting the point given.
3 = 2e⁰ - sin(0) + C 3 = 2 - 0 + C 1 = CNow we can substitute C into the original function.
y = 2eˣ - sin x + 1This is the particular, or explicit, solution to the differentiable equation.
simplify (a2+5)(a+3)
Answer:
[tex]a^{3}[/tex] + [tex]3a^{2}[/tex] + 5a + 15
Step-by-step explanation:
The L shape is reflected in the y axis. Which one of the following shows the correct image
Answer:
B
Step-by-step explanation:
The image gets flipped across the y-axis.
It might help if you think about it like flipping a piece of paper cut into that shape horizontally.
also (x, y) -> (-x, y)
Answer:
B
Step-by-step explanation:
Help fast help fast help fast help fast
Answer: T(x) = 18x + 65
Step-by-step explanation:
T(x) = A(x) + B(x)
T(x) = 10x + 50 + 8x + 15 [Plug in the number for A(x) and B(x)]
T(x) = 10x + 8x+ 50 + 15
T(x) = 18x + 65