Find the zeros of the function in the interval -2 pi 2 pi

Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c= 81,000 km. Assume the cen

elena-14-01-66 [18.8K]

Answer:

$\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1$

Step-by-step explanation:

the transverse axis is horizontal.

so its a horizontal hyperbola

Center is the origin so center is (0,0)

Equation of horizontal hyperbola is

$\frac{x^2}{a^2} - \frac{y^2}{b^2} =1$

Given a= 55000 and c= 81000

c^2 = a^2 + b^2

81000^2 = 55000^2 + b^2

subtract 55000^2 on both sides

b = sqrt(81000^2 - 55000^2)= 59464.27

now plug in the values

$\frac{x^2}{55000^2} - \frac{y^2}{59464^2} =1$

7 0

2 years ago

Patrick is driving form Sydney to Canberra. He travels for 288km trip in 4 hours. What's his average speed?

nika2105 [10]

Answer:

v = 72 km/h

Step-by-step explanation:

Given that,

The distance covered by the Patrick, d = 288 km

Time taken, t = 4 hours

We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,

$v=\dfrac{d}{t}\\\\v=\dfrac{288\ km}{4\ h}\\\\v=72\ km/h$

So, his average speed is equal to 72 km/h.

3 0

2 years ago

What is the value of x?

Svetllana [295]

Answer:

x = 4

Step-by-step explanation:

ΔTRQ is an isosceles right triangle, so if we find the value of RT then the value of 'x' will be the same

We can find RT by creating a proportion based on the ratio of sides in a 30-60-90° triangle which, respectively, is 1 : $\sqrt{3}$ : 2

2 $\sqrt{3}$ /RT = $\sqrt{3}$ /2

cross-multiply:

$\sqrt{3}$ · RT = 4 $\sqrt{3}$

RT = 4

Therefore, x = 4

3 0

2 years ago

A jar has 5 red marbles, 3 blue marbles, and 2 green marbles. what is the probability that you would choose a red marble, return

denis23 [38]

Answer:

In Fraction = 10/100 simplified = 1/10

Decimal = 0.1

Percentage = 10%

Step-by-step explanation:

We add all marbles = 5+ 3+ 2 = 10

Event 1 = Red = 5/10

Event 2 = Green = 2/10

We follow this path and multiply = 2 x 5 / 10 x 10 = 10/100 = 1/10

5 0

2 years ago

A 13-inch candle is lit and steadily burns until it is burned out.

brilliants [131]

Answer:

a. The remaining length of the candle varies from 10 inches to 5.5 inches

b. Remaining Length = 13 - b

Step-by-step explanation:

b.

The remaining (unburnt) length of the candle must be equal to the difference between total length of the candle and the burnt length of the candle. So, the expression for the remaining length can be written as:

Remaining Length = Total Length - Burnt Length

where,

Total length = 13 inch

Burnt Length = b

Therefore,

Remaining Length = 13 - b

b.

Now, we use the same expression for:

burned length = 3 inches

Therefore,

Remaining Length = 13 inches - 3 inches

Remaining Length = 10 inches

Now, for

burned length = 7.5 inches

Therefore,

Remaining Length = 13 inches - 7.5 inches

Remaining Length = 5.5 inches

Hence,

The remaining length of the candle varies from 10 inches to 5.5 inches

4 0

2 years ago