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polet [3.4K]
2 years ago
7

A hiker travels 6 mph, which is 3/11 the rate of a cyclist. Suppose the cyclist is following behind the hiker. How fast does the

distance between them decrease?
Mathematics
1 answer:
FinnZ [79.3K]2 years ago
4 0

How fast the distance between them decrease is 16mph

<h3>How to calculate the speed of an object?</h3>

Given the following parameters

Speed of the hiker = 6mph

If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:

6 = 3x/11
3x = 66

x = 22mph

Distance between them  = 22 - 6

Distance between them = 16mph

Hence how fast the distance between them decreases is 16mph

Learn more on speed here: brainly.com/question/4931057

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Find ST if S(-3, 10) and T(-2, 3)
FrozenT [24]

We have the following points and their coordinates:

\begin{gathered} S(-3,10), \\ T(-2,3). \end{gathered}

We must compute the distance ST between them.

The distance ST between the two points is given by:

ST=\sqrt[]{(x_S-x_T)^2+(y_S-y_T)^2_{}},

where (xS,yS) are the coordinates of the point S and (xT,yT) are the coordinates of the point T.

Replacing the coordinates of the points in the formula above, we find that:

\begin{gathered} ST=\sqrt[]{(-3_{}-(-2)_{})^2+(10_{}-3_{})^2_{}}, \\ ST=\sqrt[]{1^2+7^2}, \\ ST=\sqrt[]{50}\text{.} \end{gathered}

Answer: ST = √50

3 0
1 year ago
In the parallelogram below, z = ?°
katrin [286]

Answer:

z is 111 degrees

Step-by-step explanation:

69 ° and z is a linear pair, therefore:

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z = 180 - 69

z= 111

7 0
3 years ago
In 2007, the first generation of the i-phone sold for $499. The average cost of an i-phone today is $999. At a press conference
Gwar [14]

Answer: the statement made by Tim Cook is TRUE

Step-by-step explanation:

Given that;

in 2007 cost of 1st gen iphone = $499 (base year price)

cost of iphone today = $999 (current year price)

Using the Consumer Price Index

the Consumer Price Index = (cost pf product in current years/cost of product base year) × 100

we substitute

CPI  = (999/499) × 100

CPI  = 200.2004

so the CPI is 100.2004% higher in the current year than in the base year

Checking the inflation rate

IR = (( CPI this year- CPI last year)/CPI last year) × 100

CPI last year (base year) = 100

CPI current year is = 100.2004

so

IR = (( 100.2004 - 100)/100) × 100

IR = 0.002004 × 100

IR = 0.2004%

THEREFORE the statement made by Tim Cook is TRUE

3 0
3 years ago
Endpoint given the Midpoint: * The midpoint of RP is M(2, 4). If one of the end points is R(-1,7), find the coordinates of the o
marin [14]

Answer:

The coordinates of other point are: (5,1)

Step-by-step explanation:

Given coordinates are:

M(x,y) = (2,4)

R(x_1,x_2) = (-1,7)

We have to find the coordinates of other point (x2,y2)

The formula for mid-point is given by:

M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Putting the values we get

(2,4) = (\frac{-1+x_2}{2}, \frac{7+y_2}{2})

Putting respective elements equal

\frac{-1+x_2}{2} = 2\\-1+x_2 = 2*2\\-1+x_2 = 4\\x_2 = 4+1\\x_2 = 5\\And\\\frac{7+y_2}{2} = 4\\7+y_2 = 4*2\\7+y_2 = 8\\y_2 = 8-7\\y_2 = 1

Hence,

The coordinates of other point are: (5,1)

8 0
3 years ago
Write the equation of the line in standard form <br><br> 4xy + 2y = 9
padilas [110]

Answer: I think the answer is the same thing I can’t show a Step-by-step explanation because Math-way requires a premium to show a step-by-step explanation, anyway the answer is 4xy + 2y = 9, I’m sorry about that. :(

Step-by-step explanation: Well anyway, The standard form of a linear equation is Ax+By=C.

6 0
3 years ago
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