The values of the variables are k = -6 , w = ± 9 , f = -7
Step-by-step explanation:
To solve these problems we will compare the elements inside the [ ]
[-12 , -w²] = [2k , -81]
[2f , 3] = [-14 , 3]
That mean:
1. -12 = 2k
2. -w² = -81
3. 2f = -14
∵ 2k = -12
Divide both sides by 2 to find k
∴ k = -6
∵ -w² = -81
Divide both sides by -1
∴ w² = 81
Take √ for both sides
∴ w = ± 9
∵ 2f = -14
Divide bith sides by 2
∴ f = -7
The values of the variables are k = -6 , w = ± 9 , f = -7
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18 24ths as a fraction is 9/12
Answer:
Step-by-step explanation:
Given
Shape: Rectangle
Required
Determine the area of the rectangle;
Area is calculated as thus;
Substitute values for Length and Width
<em>Hence, the area of the rectangle is </em>
<em />
Answer:
The answer is 350 points
Step-by-step explanation:
The Area of a circle is πr∧2
The problem states that in the attempts, you never hit the outermost ring in the 10 attempts so we need the area of the 1cm and 2cm circles
Area of the 1st circle; π X 1∧2 = π
Area of the Second circle; π X 2∧2 = 4π
We also need the area which is the difference between the area of the 1cm and 2cm circle
4π - π = π
Points 50 = π/4π = 1/4
points 30 = 3π/4π = 3/4
For one attempt,
E(x) = 50 x 1/4 + 30 x 3/4
= 12.25 + 22.5
= 34.75
This is approximately 35
Therefor, 10 individual attempts will be 10 x 35 = 350
