Answer:
Step-by-step explanation:
We have been given an equation . We are asked to find the solutions of our given equation using u-substitution.
We can rewrite our given equation as:
Let us assume that .
Upon substituting back the value of u, we will get:
Now we will use imaginary unit i. We know that .
Therefore, the solutions for our given equation are .
Answer:
12
Step-by-step explanation:
Given the data :
X : 10,8,18,17,7
The mean value of scores obtained can be obtained thus :
Mean = ΣX / n
n = sample size = 5
Mean = ΣX / n = (10+8+18+17+7) / 5
Mean = 60 / 5 = 12
Answer:
25.13 or 25.1
Step-by-step explanation:
2 x pi/3.14x4
Answer:
For the rectangle
Length=ℓ
Breadth=b
Area is 12 cm2
ℓb=12
Perimeter is 16 cm
2(ℓ+b)=16
ℓ+b=8
Substitute b=12ℓ from first equation
ℓ+12ℓ=8
ℓ2+12=8ℓ
ℓ2−8ℓ+12=0
Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ
ℓ=−(−8)±√(−8)2−(4×1×12)2×1
ℓ=8±√162
ℓ=8±42
ℓ1=8+42=6
ℓ2=8−42
Step-by-step explanation:
For the rectangle
Length=ℓ
Breadth=b
Area is 12 cm2
ℓb=12
Perimeter is 16 cm
2(ℓ+b)=16
ℓ+b=8
Substitute b=12ℓ from first equation
ℓ+12ℓ=8
ℓ2+12=8ℓ
ℓ2−8ℓ+12=0
Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ
ℓ=−(−8)±√(−8)2−(4×1×12)2×1
ℓ=8±√162
ℓ=8±42
ℓ1=8+42=6
ℓ2=8−42
We should find the area of the carpet squares. Since each side is 1 foot, the area will be 1. Now, Julie used 120 carpet squares, which is 1 in area. So, we will have to multiply 1 by 120.
120×1=120
The area of the floor is 120 ft².