2 years ago

How far apart are the foci of an ellipse with a major axis of 20 feet and a minor axis of 14 feet?

1 answer:

3 0

The solution for this question is simple. First we need to divide both numbers by 2 which will give us 10 and 7. This is the equation x^2/10^2 + y^2/7^2 = 1sqrt(100-49) = 7.14 (the answer do not have a perfect square root)
Foci are 14.28 units apart

You might be interested in

He hypotenuse of a right triangle is three times the length of one of the legs. the length of the other leg is 648‾‾‾‾√648 feet.

pantera1 [17]

Let length of the hypotenuse = 3x and length of given leg be x feet.

then (3x)^2 = x^2 + 648
8x^2 = 648
x^2 = 81

so x = 9 and 3x = 27

Hypotenuse is 27 feet and the leg equals 9 feet.

4 0

2 years ago

Garrett is 3 years older than Rachael. In 2 years the sum of their ages will be 39. How old is Garrett now?

ziro4ka [17]

Let garret’s age be x

x + 2 + (x + 3) + 2 = 39
2x + 7 = 39
2x = 32
x = 32/2
x = 16

Garrett’s age after two years = 16 + 2 = 18

3 0

2 years ago

A map of New York has a scale of 1/2 inch : 5 miles. Cindy knows the

saveliy_v [14]

Answer:

8.5 inches

Step-by-step explanation:

1/2 in = 5 miles

? = 85 miles.

So you would do 85/5 to figure out how many times you have to multiply 5 to get to 85.

85/5= 17

So then you would multiply 17 by 1/2 to get the answer 8.5. So that would b 8.5 inches

7 0

3 years ago

A car is traveling at a speed of 30 meters per second. What is the car's speed in kilometers per hour? How many kilometers will

vitfil [10]

Answer:

216,000

Step-by-step explanation:

3 0

2 years ago

Which complex number has a distance of radical 17 from the origin on the complex plane?

Inga [223]

Answer: LAST OPTION

Step-by-step explanation:

The complex numbers shown have the form:

$a+bi$

By definition, the distance can the distance of the complex number from the origin on the complex plane can be calculated with the formula shown below:

$d=\sqrt{a^2+b^2}$

Substitute values of each option. Then:

1) $d=\sqrt{2^2+15^2}=\sqrt{229}$

2) $d=\sqrt{17^2+1^2}=\sqrt{290}$

3) $d=\sqrt{20^2+(-3)^2}=\sqrt{409}$

4) $d=\sqrt{4^2+(-1)^2}=\sqrt{17}$ (CORRECT OPTION)

5 0

3 years ago

Read 2 more answers