Step-by-step explanation:
4. the area of semi circle R =
3²/5² × 75π = 9/25 × 75π = 27π cm²
5. the ratio of their areas = 1²:7² = 1:49
Answer:
Step-by-step explanation:
sum of interior angles in a triangle is 180 degree
interior angles are (5x+3y)∘,(3x+20)∘, and (10y+30)
add all the angles and make it equal to 180
combine like terms
subtract 50 from both sides
Answer:
(x + + )(x + - )
Step-by-step explanation:
solve the polynomial for x then express in product of factor form
Solve
x² + x - 10 = 0 ( add 10 to both sides )
x² + x = 10
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2( )x + = 10 +
(x + )² = ( take the square root of both sides )
x + = ± = ± ( subtract from both sides )
x = - ±
Thus corresponding factors are
(x - (- - ) ) and (x - (- + ), that is
(x + + ) and ( x + - )
Thus
x² + x - 10 = ( x + + )(x + - ) ← in factored form
Distributive because they are multiplying a number by a group of numbers added together is the same as doing each multiplication separately.