Answer: a) + = 1
b) The distance of two foci is 85.4 feet
c) Area = 3502.67 square feet
Step-by-step explanation: a) An ellipse has the equation in the form of:
+ = 1, where a is the horizontal axis and b is the vertical axis.
For the Statuary Hall, a = = 48.5 and b = = 23, so the equation will be
+ = 1.
b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:
=
c =
c = 42.7
The distance is 2c, so 2·42.7 = 85.4 feet.
The two foci are 85.4 feet apart.
c)The area of an ellipse is given by:
A = a.b.π
A = 48.5 · 23 · 3.14
A = 3502.67 ft²
The area of the floor room is 3502.67ft².
So, since the student makes $30 each week, we can disregard the number of hours.
So, we can model this situation by the following equation
9.5h+30
So, if he works 10.25 hrs (15 minutes = .25 of 1 hr) we just plug that number in
Since it's money we round to the nearest cent
So he will make $127.28 Next week
Answer:
system 4.
Step-by-step explanation:
3x+6y=9
multiply by 2
6x+12y=18 ....(1)
-2x+-4y=4
multiply by 3
-6x-12y=12 ...(2)
add (1) and (2)
0+0=30
which is impossible .It has no solutions.
Answer:
y = -13.5
x = -10.5
Step-by-step explanation:
Hi there!
Let the two numbers be equal to <em>x</em> and <em>y</em>.
The difference of two numbers is 3 ⇒ x - y = 3
Their sum is - 24 ⇒ x + y = -24
Solve using elimination:
x - y = 3
x + y = -24
Add the two equations:
x + x - y + y = 3 - 24
2x = -21
x = -10.5
Solve for y:
-10.5 - y = 3
- y = 3 + 10.5
y = -13.5
I hope this helps!
Answer:
= 2 1/4 feet
Step-by-step explanation:
Length of chain Jesse needs = 10 1/4 feet
Length of chain Jesse has:
Two small pieces each measuring 2 1/8 feet
= 2 × 2 1/8 feet
= 2 × 17/8
= 34/8 feet
Third piece measuring 3 3/4 feet
Total Length of chain Jesse has = 34/8 feet + 3 3/4 feet
= 34/8 + 15/4
= 34+30/8
= 64/8
= 8 feet
Total Length of chain Jesse has = 8 feet
Length of chain Jesse needs to purchase = Length of chain Jesse needs - Total Length of chain Jesse has
= 10 1/4 feet - 8 feet
= 2 1/4 feet
Length of chain Jesse needs to purchase = 2 1/4 feet