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babymother [125]
3 years ago
10

A plane travels 264 miles in 1.1 hours against the wind. On the return trip, it travels the same 264 miles in 1

Mathematics
1 answer:
bagirrra123 [75]3 years ago
5 0

Answer:

The speed of the wind is 12 miles per hour.

Step-by-step explanation:

Given that the plane travels 264 miles in 1.1 hours with a headwind, the following calculation must be performed to determine its speed:

264 / 1.1 = X

240 = X

Thus, the speed of the plane into the headwind was 240 miles per hour. Now, on the return, with the wind in favor, the route is completed in exactly 1 hour.

Therefore the wind exerts a difference of 24 miles per hour between one trip and another, with which, if it remains stable, its speed is 12 miles per hour (24 / 2).

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STALIN [3.7K]

Answer:

Step-by-step explanation:

circle A is

x²+y²+6x-4y-12=0

x²+6x +y²-4y =12

think (a+b)² = a²+2ab+b² we have a=x, b= 3

and (a-b)² = a²-2ab+b² so we have a=y, b=2

x²+6x +9 +y²-4y+4 = 12-9-4

(x+3)² +(y-2)²= -1

compare to the general equation of a circle (x-h)²+(y-k)² =r²

the center is at (-3,2) and the radius is √-1 =i

Circle B has center (0, -4) and radius 3 so the equation is

(x-0)²+(y-(-4))² =3²

x² +(y+4)² = 9

point (√8, -3) is on the circle if it verifies the equation

√8² +(-3+4)² = 9

8+1 =9 true so the point is on the circle

Circle A and circle B are not similar because they do not have the same center and radius

4 0
3 years ago
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.
Fudgin [204]

Answer:

The rock splashes down when h(t) = 0. Set h(t) = 0 and solve for t using quadratic formula.

0 = − 4.9t^2 + 178t + 325

t = 38.07, -1.74

(Throw away the negative answer, since time can't be negative.)

t = 38.07 sec

Please Mark Brainliest If This Helped!

4 0
2 years ago
the seventh grade class is raising money to have a class trip at the end of the year they began the year with $1500 now they hav
Novay_Z [31]

Answer:

10%

Step-by-step explanation:

(1650 - 1500) /1500 = 10%

5 0
3 years ago
Identify the zeros of f(x)= (x-7)(x+4)(3x-2) Choices:
Kobotan [32]

Answer:

second option

Step-by-step explanation:

Given

f(x) = (x - 7)(x + 4)(3x - 2)

To find the zeros let f(x) = 0, that is

(x - 7)(x + 4)(3x - 2) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 4 = 0 ⇒ x = - 4

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = \frac{2}{3}

zeros are x = - 4, x = \frac{2}{3}, x = 7

7 0
3 years ago
cara played a card game using a deck of 52 cards after she dealt the same number of cards to 4 players she had 24 cards left ov
Dmitriy789 [7]

Answer:

<h2>7</h2>

Step-by-step explanation:

Assume each player get x cards. Total number of cards now is 4x+24=52.

Therefore, 4x=52-24=28.

Then, x= 28/4=7.

3 0
3 years ago
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