Answer:

Step-by-step explanation:
Let height of a banner be
, then we know that this is
of the length
of the banner; so we have
.
Now we can rearrange this equation to solve for the length of the banner given it's height:

So there we have it!
If the banner is 5 ft tall, then it's length will be:

To solve this problem you must apply the proccedure shown below:
1. You have that the ellipse given as a vertical major axis (a=13), therefore, taking the ellipse with its center at the origin, you have the following equation:
(y^2/a^2)+(x^2/b^2)=1
2. You have the distance from the center of the ellipse to the focus:
c=12, therefore, you can calculate the value of b, the minor radius:
c^2=a^2-b^2
b=√(13^3-12^2)
b=5
3. Therefore, the equation is:
a^2=169
b^2=25
(y^2/169)+(x^2/25)=1
The answer is: (y^2/169)+(x^2/25)=1
Answer:
The probability is 14/55
Step-by-step explanation:
The word replacement contains 11 letters.
In which 4 letters are vowel = e,a,e,e
And 7 letters are not vowel = r,p,l,c,m,n,t
The probability of getting the vowel in the first try = 4/11
The probability of getting something that is not a vowel = 7/10.
The denominator is one less because the vowel card is not replaced, meaning there is one less card to choose from.
Multiply the values:
=4/11 * 7/10
=28/110
=14/55
The probability is 14/55....
Answer:

Step-by-step explanation:

6 - 3 = 3
keep the base same, therefore

Hope this helps!
Answer:
255.75 feet or 255
feet
Step-by-step explanation:
area of a rectangle / length = breadth
1023 / 4 = 255.75 or 255
feet