Sin 35 = x/20
⇒ 0.57357 = x / 20
⇒ x = 0.57357 * 20
⇒ x = 11.47
Hope it helps!
Answer:
<u>Width = 2x² , Length = 7x² + 3</u>
Step-by-step explanation:
The area of the rectangle = 14x⁴ + 6x²
The width of the rectangle (in meters) is equal to the greatest common monomial factor of 14x⁴ and 6x²
Factors of 14: 1 * <u>2</u> * 7
Factors of 6: 1 * <u>2</u> * *3
∴ The greatest common monomial factor of 14 and 6 = 2
Factors of x⁴: x , x² , x³ , x⁴
Factors of x²: x , x²
∴ The greatest common factor of x⁴ and x² = x²
∴ Width = 2x²
∵ Area = length times the width
∴ Length = Area/Width
Length = 
You could also use 48 because 8 and 12 divide into it.
Answer:
a = 1 b = -1.
Step-by-step explanation:
Suppose the quotient when you divide x^4+x^3+ax+b by x^2 + 1 is
x^2 + ax + b then expanding we have:
(x^2 + 1)(x^2 + ax + b)
= x^4 + ax^3 + bx^2 + x^2 + ax + b
= x^4 + ax^3 + (b + 1)x^2 + ax + b Comparing this with the original expression:
x^4 + x^3 + 0 x^2 + ax + b Comparing coefficients:
a = 1 and b+ 1 = 0 so b = -1.
A constant function is a function whose output value f(x) is the same for every input value x, i.e. for all x, f(x)=c.
This means that
Answer: correct choice is A.