Answer:
4/5
Step-by-step explanation:
Sin = Opposite / Hypotenuse
Note that hypotenuse = longest side
We want to find sinФ
The opposite side length of angle "Ф" has a length of 8 and the longest side or hypotenuse has a length of 10
So sinФ would equal 8/10 which can be simplified to 4/5
Answer:
(x-5)² + (x-6)² = 9
Step-by-step explanation:
Remember that the equation of a circle is (x - h)² + (x - k)² = r², with <em>r </em>being the radius and <em>(h,k) </em>being the center point of a circle.
Since we are already given <em>r </em>and <em>(h,k)</em>, all we need to do is plug them into the formula to find our equation.
Answer:
if is divided by , the remainder is -9
Step-by-step explanation:
We need to find the remainder if is divided by
Dividing by
The division is shown in figure attached.
The remainder = -9
The quotient = x+3
So, if is divided by , the remainder is -9
Answer:
A and E
Step-by-step explanation:
Given
20x² - 26x + 8 = 0 ( divide through by 2 )
10x² - 13x + 4 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 10 × 4 = 40 and sum = - 13
The factors are - 5 and - 8
Use these factors to split the x- term
10x² - 5x - 8x + 4 = 0 ( factor the first/second and third/fourth terms )
5x(2x - 1) - 4(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(5x - 4) = 0
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = → E
5x - 4 = 0 ⇒ 5x = 4 ⇒ x = → A
Answer:
The answer is not in the options, it is 67.5
Step-by-step explanation:
135/2 = 67.5