Answer:
The difference between the heights of the poles is 10m
Step-by-step explanation:
The distance between poles is 24 m
The length of the cable is 26m
You first use the Pythagoras' theorem to calculate the vertical distance between the end of one pole and the end of the other one.
The difference between the heights of the poles is 10m
The higher pole has height of 50m
Then, the lower pole has a height of 50m - 10m = 40m
The whole like parts of whatever the thing is?
<span>Let x = the miles Jeanie ran
y = the miles Jeanie biked
T = 2 hours total time for the duathlon
v1 = 8.5 mph Jeanie's running speed and
v2 = 16 mph Jeanie's biking speed
But T = Jean's time she ran t1 + time she biked t2 I. e t1 + t2 = 2
So we have average speed v2 when she biked = distance (y) / time (t2)
Distance y = v2 * t2 = 16 * t2 and distance when she ran x = 8.5 * t1
Since she covered 27 miles while running and biking we have
x + y = 27
8.5t1 + 16t2 =27 ------(1)
t1 + t2 = 2 --------------(2)
The simultaneous equation gives us
t1 = 2/3 and t2 which is time she biked = 4/3
So 4/3 = 1 1/3. Which is 1 hour 20 minutes</span>
The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by .
What is a function?
- A function in mathematics from a set X(ax) to a set Y allocates exactly one element of Y to each element of X(ax).
- A relation between a collection of inputs and labor is known as a function.
You can use the fact that the raise is done on the previous year's salary.
Let the initial salary be P = $24000
After 1 year, her salary increased by R = 3.5% which, thus,
Total salary = P + increment
Similarly going on, we get
(we can say)
Putting values of P(value of P) and R(value of R), we get
Thus,
The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by
Learn more about function here:
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Answer:Price of laptop A = $1220
Step-by-step explanation:
Sum of the price: A + B = 2185
Sum of the price: A + C = 2571
B : C = 5 : 7
B = 5/7 × C
So, replace the B:
A + 5/7 C = 2185
A + C = 2571
Eliminate by subtracting the first from the second: 2/7 C = 386
C = 1351
So, A = 2571 - 1351 = 1220