Answers
Answer:
3.16 miles
Step-by-step explanation:
Hi there!
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
We're given that the campsite is located at (1,7) and the checkpoint station is located at (4,6). We must calculate the distance between them. Plug these points into the formula:
[tex]d=\sqrt{(x_2-1)^2+(y_2-7)^2}\\d=\sqrt{(4-1)^2+(6-7)^2}\\d=\sqrt{(3)^2+(-1)^2}\\d=\sqrt{9+1}\\d=\sqrt{10}\\d\approx3.16[/tex]
Therefore, the distance between the campsite and the checkpoint is 3.16 miles when rounded to the nearest hundredth.
I hope this helps!
Related Questions
There are ten times as many silver cars than red cars. If there 88 silver and red cars altogether, find the number of cars of each colour
Answers
Answer:
80 silver, 8 red
Step-by-step explanation:
let x be the number of red cars then 10x is the number of silver cards , so
x + 10x = 88
11x = 88 ( divide both sides by 11 )
x = 8
10x = 10 × 8 = 80
There are 80 silver cars and 8 red cars
You and your family are planning a vacation of a lifetime around the world that will cost $25,000. You borrowed this amount from your bank with an annual interest rate of 10.5%. You decided to pay it back in 5 years. What is the interest that will accrue on this loan?
$3,125.00
$131,250
$13,125.00
$312.50
Answers
Answer:
$13,125
Step-by-step explanation:
The value of the interest that will accrue on this loan will be;
⇒ $13,125
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
You and your family are planning a vacation of a lifetime around the world that will cost $25,000.
And, You borrowed this amount from your bank with an annual interest rate of 10.5%.
Now,
Since, You borrowed this amount from your bank with an annual interest rate of 10.5%.
Hence, The total interest amount after five years is,
⇒ 5 × (10.5% of $25,000)
⇒ 5 × (10.5/100 × 25,000)
⇒ 5 × 2,625
⇒ $13,125
Thus, The total interest amount after five years = $13,125
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12. A jet stream can move a particle of air
11 miles in 5 minutes. At this rate, how far
will the particle move in 1 hour?
(5 minutes = 1 hour) (Example 1)
Answers
Answer:
132 particles
Step-by-step explanation:
5 minutes = 11 miles
1 hour (60 minutes)
11*x = 11 x 60 = 660
11x = 660/5=132
The distance of a jet stream can move a particle of air 132 miles in 1 hour.
Here,
A jet stream can move a particle of air 11 miles in 5 minutes.
We have to find, The distance of particles move in 1 hour.
What is distance?
The length along a line or line segment between two points on the line or line segment.
Now,
A jet stream can move a particle of air 11 miles in 5 minutes.
5 minutes = 11 miles
Then, for 1 minute a jet stream can move a particle of air = 11 / 5 miles
Hence, In 1 hour ( 60 minutes) a jet stream can move a particle of air;
⇒ [tex]\frac{11}{5} * 60 = 132[/tex]
So, The distance of a jet stream can move a particle of air 132 miles in 1 hour.
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Write the scientific notation for 127.5. Please! And tell me how so I can learn too.
Answers
In scientific notation, you move the decimal place until you have a number between 1 and 10. Then you add a power of ten that tells how many places you moved the decimal. In scientific notation, so 127.5 becomes 1.275 x 10 to the second power.
Source: https://www.infoplease.com/math-science/mathematics/numbers-formulas/scientific-notation
WHOEVER ANSWERS FAST AND CORRECT GETS BRAINLIEST! (PICTURE INCLUDED)
Write an algebraic expression for 4 more than 3 times a number. (5 points) Part B: Write a verbal expression for 2(n + 9). (5 points)
Answers
Answer:
2n+18
Step-by-step explanation:
2xn=2n
2x9=18
2n+18
Answer:
A) 3x+4
B) Twice of sum of a number and 9.
30 points!
You start at (-2, 2). You move left 3 units and right 10 units. Where do you end?
Answers
Answer:
The answer is (5, 2)
Step-by-step explanation:
I. If move left = -x
move right = +x
So -2 - 3 = -5 => move left
-5 + 10 = 5 => move right
I suggest that move left and right is x cordinate
The answer is (5,2)
Is that correct?
2. Which type of variation is represented by the following equation?
Answers
indirect variation
Verification
[tex]\\ \rm\Rrightarrow s\propto \dfrac{1}{y}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{s_1}{t_2}=\dfrac{s_2}{t_1}[/tex]
[tex]\\ \rm\Rrightarrow s_1t_1=s_2t_2[/tex]
1.What is the number?
The number is not an odd number
It has exactly four factors
If you reverse the digits, a prime number is formed
The sum of the digits is a two digit prime number
The number is less than the square root of 10^4
One of the digits is a square number
Answers
Prime number or u also can write palindromic number
Answer:
15647569
Step-by-step explanation:
1+1
Simplify: show all your steps 30 POINTS!
Answers
16.
Select all transformations that carry rectangle
ABCD onto itself.
A. Rotate by 90 degrees clockwise using center P.
B. Rotate by 180 degrees clockwise using center P.
C. Reflect across line m.
D. Reflect across diagonal AC.
E. Translate by the directed line segment from A to B.
Answers
Answer:
I got B and C.
Step-by-step explanation:
When you rotate by 180° you turn it so that it is facing the other way (ie D is B, C is A, etc) since it's a rectangle, when you rotate by 180°, you still have the same rectangle with angles in the same corners. when you reflect across the midpoint, you are just flipping your rectangle over, and so would again have the same effect as turning it 180°.
Evaluate 5x -3x when x=2
Answers
Answer:
4
Step-by-step explanation:
5*2-3*2=10-6=4
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) {-4, 8/3, -16/9, 32/27, -64/81, . . . } an =
Answers
Step-by-step explanation:
a1 = -4 = -4/1, a2 = 8/3
r = a2/a1 = (8/3) / (-4/1) = -2/3
the formula :
an = a1. r^(n-1)
so,
an = (-4). (-2/3)^(n-1)
Step-by-step explanation:
[tex]-4, \dfrac{8}{3}, -\dfrac{16}{9}, \dfrac{32}{27}, -\dfrac{64}{81},..., (-1)^n\dfrac{2^{n + 1}}{3^{n - 1}}, ...[/tex]
Grace buys notebooks at a price of four for $5 and sells them at a price of three for $6. How many notebooks must she sell in order to make a profit of $120
Answers
Answer:
125 I think
I'm a lil slow
Grace needs to sell 160 notebooks to make a profit of $120
What is an equation?Two algebraic expressions having the same value and the symbol '=' in between are called as an equation.
Given:
Grace buys notebooks at a price of four for $5.
Unit cost price,
= $5 / 4
= $1.25
And sells them at a price of three for $6.
Unit cost price,
= 6/3
= $2.
Profit = sales - cost
So, the equation,
120 = 2x - 1.25x
0.75x = 120
x = 120/0.75
x = 160
Therefore, 160 notebooks need to sell to maker profit of $120.
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4 over 9 divided by 12 over 27
Answers
Answer:
1
Step-by-step explanation:
4/9÷12/27
=4/9×27/12
=3/3
=1
PLS HELPP , i tried solving this and i wrote 56 but it was wrong so i don’t know anymore pls pls help
Answers
Answer:
y = 68
A = 44
Step-by-step explanation:
No matter what may be true, that doesn't look like an a to me.
x = y = 68 x and y are opposite equal sides and are therefore =.
68 + 68 + A = 180 all triangles are 180 degrees.
136 + A = 180 Subtract 136 from both sides
A = 180 - 136
A = 44
The expression 1/x+y
is equal to which quantities?
(1/x) + y
1/x + y
1/(x + y)
Answers
The equivalent form of the given expression is 1 /(x + y)
The given expression:
[tex]\frac{1}{x+y}[/tex]
To find:
the equivalent form of the expression:The equivalent form of the expression can be written as follows:
[tex]\frac{1}{x+y} = 1 /(x + y)[/tex]
For example, if x = 1 and y = 2, the inverse of the expression can be written as;
[tex]\frac{1}{x + y} = \frac{1}{(1 + 2)} = \frac{1}{3}[/tex]
Also, if x = 2 and y = 3, the inverse of the expression can be written as;
[tex]\frac{1}{x + y} = \frac{1}{(2 + 3)} = \frac{1}{5}[/tex]
Thus, the equivalent form of the given expression is 1 /(x + y)
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How to do problem 17
Answers
plugging in 5 and solving gives you the square root of 81 and the square root of 36. these would give you answers of 9 and 6 making it rational.
if this helped please give brainliest!
Name a point that is coplanar with points H, D, and A.
E
F
P
B
Answers
Please help me with number 2?
Answers
Answer:
y= 2× +4
Step-by-step explanation:
Slope intercept form y = mx +b
4x -2y = -8
-2y = -4x-8
y = 2x +4
slope = 2x
y intercept = 4
Someone please help
Don’t understand the question
Answers
9514 1404 393
Answer:
22. E
23. C
Step-by-step explanation:
These questions are asking you to make use of a couple of trig identities for converting products to sums.
sin(x)cos(y) = 1/2(sin(x+y) +sin(x -y))
cos(x)cos(y) = 1/2(cos(x+y) +cos(x -y))
sin(-x) = -sin(x)
cos(-x) = cos(x)
__
22. sin(2β/3)cos(4β/3) = (1/2)(sin((2+4)β/3) +sin((2-4)β/3))
= 1/2sin(2β) +1/2sin(-2β/3) = 1/2sin(2β) -1/2sin(2β/3)
__
23. cos(3θ)cos(5θ) = (1/2)(cos(3θ+5θ) +cos(3θ -5θ)) = 1/2cos(8θ)+1/2cos(2θ)
Describe how the graph y = 2x is the same and different from the graph
y = 2x + 7. Explain or show your reasoning.
Answers
Answer:
The slope is the same, whereas b is the y-intercept on the graph, so the y=2x+7 line would be on 7 on the y-axis
Step-by-step explanation:
-4x+9y=9
x-3y=-6
solve. systems of equations
Answers
Answer:
-3x + 6y = 3
Step-by-step explanation:
-4x + x = -3x
9y - 3y = 6y
9 - 6 = 3
9514 1404 393
Answer:
(x, y) = (9, 5)
Step-by-step explanation:
My preferred method is to solve a system using a graphing calculator. That result is attached.
__
Here, you can multiply the second equation by 4 and add the first equation.
4(x -3y) +(-4x +9y) = 4(-6) +(9)
-3y = -15 . . . . . . . . . . simplify
y = 5 . . . . . . . . . . . . divide by -3
x -3(5) = -6
x = -6 +15 = 9
The solution is (x, y) = (9, 5).
real life example of a ray
Answers
sun ray in space with the sun being the endpoint
4/8 divided by 4/6
thank you for your answer
Answers
Hope you get the right answer!
Answer:
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
[tex] \frac{4}{8} \div \frac{4}{6} [/tex]
[tex] \frac{4}{8} \times \frac{6}{4} [/tex]
[tex] \frac{1}{4} \times 3[/tex]
[tex] = \frac{3}{4} [/tex]
Hi fellow Army^^
if a metalic cylinder having volume 18cm3 is melted to form a hemisphere. find the radius of the hemisphere.
Answers
Answer:
R = 2.05 cm
Step-by-step explanation:
Volume of a hemisphere
V = ½(4/3)πR³ = (2/3)πR³
18 = (2/3)πR³
R³ = 27/π
R = 2.04835218...
Temperatures this cold are rare.
Another 8°F colder, and it will be
-40°F.
Pleaae show the work
Answers
Answer:
-32°F
Step-by-step explanation:
8°F - 40°F
=> 32°F
Kate collected a sample of monthly rents and recorded the following numbers:
$500, $525, $550, $600, $600, $750, $775, $800, $1350.
If Kate drops the unusually high rent of $1350 from the data set, which of the following would NOT be affected?
a.) The highest monthly rent
b.) The average monthly rent.
c.) The most frequent monthly rent.
d.) The spread of the monthly rents
Answers
The property that they would never be affected by is the most frequent monthly rent. Option C is correct.
Given that,
Kate collected a sample of monthly rents and recorded the following numbers: $500, $525, $550, $600, $600, $750, $775, $800, $1350. Kate drops the unusually high rent of $1350 from the data set, which of the following would not be affected is to be determined.
The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
If the rent of $1350 is dropped by Kate, definitely affect the average, highest monthly rent, and the spread of the monthly sheet, but it won't affect the most frequent monthly of rent because the most frequent rent is $600.
Thus, the property that they would never be affected by is the most frequent monthly rent. Option C is correct.
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3. Write a word phrase using 10x(14+11)
Answers
Answer:
10 multiplied by the sum of 14 and 11
Step-by-step explanation:
[tex].[/tex]
Multply 7/8 to 2-1/3
Answers
Answer:
17/12
Step-by-step explanation:
7/8 x 2-1/3
7/4-1/3
17/12
chose all that apply
Answers
Answer:
Rational
Integer
Step-by-step explanation:
B AND C NOT SURE IF ITS CORRECT