Answer: 2/5
Step-by-step explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
The, multiply the numerators and denominators and get 12/30, then simply by 6 and get 2/5
Answer: The quotient is (2x+1)
Step-by-step explanation:
Here, the dividend = 
Divisor = 
By the long division method for finding the quotient we will follow the following steps,
Steps 1 : Write dividend inside the division sign and divisor outside the division sign,
Step 2: Multiply the divisor by 2x and subtract the result by the dividend,
Step 3: Now, again multiply the divisor by 1,
Step 4: Subtract the result by the remaining dividend,
Since, further division is not possible,
Hence, the sum of all terms that are multiplied = 2x+1
Which is our quotient.
Answer:
x = 43.7°
Step-by-step explanation:
Reference angle (θ) = x°
Opposite side length = 43
Adjacent side length = 45
Apply the trigonometric function, TOA, which is:
Tan θ = Opp/Adj
Substitute


x = 43.7° (nearesth tenth)
Answer:
Relationship is linear as r is closest to 1.
Step-by-step explanation:
From statistics we know that,
![\text{Corelation Coefficient}=r=\dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]]}}](https://tex.z-dn.net/?f=%5Ctext%7BCorelation%20Coefficient%7D%3Dr%3D%5Cdfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2-%28%5Csum%20y%29%5E2%5D%5D%7D%7D)
Putting all the values from the table,
we get corelation factor as 0.9995
Therefore, the relationship is linear as r is closest to 1.
To find the area is base × hight
10 in × 12 in= 120 in2