7 is not because a couple x values were repeated
8 is not because the x value -2 was used for two y values
9 is not because a couple x values were used for more than one y value
10 is a function is x alue is only used once
hope this helps :)
Answer:
1/8
Step-by-step explanation:
Answer:
<u>45°</u>
Step-by-step explanation:
From the diagram :
- ∠AOC = ∠AOB + ∠BOC
- 96 = 9x - 75 + 8x - 67
- 17x - 142 = 96
- 17x = 238
- x = 238/17
- x = 14
Finding ∠BOC :
- ∠BOC = 8x - 67
- ∠BOC = 8(14) - 67
- ∠BOC = 112 - 67
- ∠BOC = <u>45°</u>
The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet
<h3>What dimensions would guarantee that the garden has the greatest possible area?</h3>
The given parameter is
Perimeter, P = 520 feet
Represent the shorter side with x and the longer side with y
One side of the garden is bordered by a river:
So the perimeter is:
P = 2x + y
Substitute P = 520
2x + y = 520
Make y the subject
y = 520 - 2x
The area is
A = xy
Substitute y = 520 - 2x in A = xy
A = x(520 - 2x)
Expand
A = 520x - 2x^2
Differentiate
A' = 520 - 4x
Set to 0
520 - 4x = 0
Rewrite as:
4x= 520
Divide by 4
x= 130
Substitute x= 130 in y = 520 - 2x
y = 520 - 2 *130
Evaluate
y = 260
The area is then calculated as:
A = xy
This gives
A = 130 * 260
Evaluate
A = 33800
Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet
Read more about area at:
brainly.com/question/24487155
#SPJ1
Answer:
The radius of the sphere, to the nearest cm:
cm
Step-by-step explanation:
The surface area of a sphere is given by the formula
A = 4πr²
where r is the radius of the sphere.
Given
- The surface area of sphere A = 5024 cm²
The radius of the sphere can be determined such as
Plug in Surface Area of sphere = 5024, π = 3.14 in the formula
cm
Therefore, the radius of the sphere, to the nearest cm:
cm
