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nata0808 [166]
3 years ago
10

A plane can fly 260 miles downwind in the same amount of time as it can travel 170 miles upwind. Find the velocity of the wind i

f the plane can fly 215 mph in still air.
Mathematics
1 answer:
Alex787 [66]3 years ago
7 0
From the two statements we can say:

260=(215+w)t

t=260/(215+w)

Now from the second statement:

170=(215-w)t

t=170/(215-w)

We are told that t=t, for the downwind and upwind equations so:

260/(215+w)=170/(215-w)  

260(215-w)=170(215+w)

55900-260w=36550+170w

-430w=-19350

w=45

So the wind speed is 45mph.

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In a small town in the Himalayas, the average snowfall each month is 6 inches. July is the month with the lowest average snowfal
OLga [1]

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

<h3>What is a mathematical function?</h3>

A mathematical function is a function comprising of different variables that    represent different factors or events and the relationships between them.

<h3>
During what period is there more than 10 inches of snowfall?</h3><h3 />

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos  ((π/6) (7 + C) →  -5cos ((π/6) (7 + C)

= -1

→   ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→  cos ((π/6) (x-1) + 6 > 4/5

→  (π/6) (x-1)  > Cos⁻¹ (4/5)

(π/6) (x-1)  < 0.6435 and

(π/6) (x-1)  > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

Learn more about functions at;
brainly.com/question/25638609
#SPJ1

3 0
2 years ago
Find the value of h
slamgirl [31]

Answer:

h = 48

because 32 + 3h + 4 = 180

32 + 4 = 36

36 + 3h - 36 = 180 - 36

3h = 144

3h/3 = 144/3

h = 48

7 0
3 years ago
a paddle boat can move at a speed of 6km/h in still water. the boat is paddeled 16km downstream in a river in the same time it t
kaheart [24]
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5 0
3 years ago
I have a question for 7th grade math that is do today.The math question is what is 56+(-56)=? I would guess it equals 0 but am I
qaws [65]

Answer:

56 + -56 = 0

Step-by-step explanation:

because when there is a negative and a positive you add them together getting 0

Sorry its hard to explain but yes you are correct

I hope this helps

Have a great day!

3 0
3 years ago
Read 2 more answers
What is 512.3÷ 0.25​
Mademuasel [1]

Answer:

2049.2

Step-by-step explanation:

512.3÷ 0.25​= 2049.2

You can use a calculator... (or long division.)

8 0
3 years ago
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