#22. We are given that y = 1/4. So, we want to plug this value into the expression 15/y:
15/(1/4)
When you divide by a fraction, you should follow the rule “flip the guy and multiply”. Basically, 15/(1/4) = 15 * 4 = 60.
The answer for #22 is (D).
#23. We can use a proportion:
(The shaded area)/(entire circle area) = (360 - 60)/360
But, we don’t have to find the areas of the region and circle; we can just solve the fraction:
(360 - 60)/360 = 300/360 = 30/36 = 5/6
The answer for #23 is (A).
Answer:
(2x+5)(4x+3)
Step-by-step explanation:
Given the expression 8x^2 + 26x + 15
Factorize
8x^2 + 26x + 15
= 8x^2 + 6x + 20x + 15
= 2x(4x+3) + 5 (4x+3)
= (2x+5)(4x+3)
Hence the factored form of the expression is (2x+5)(4x+3)
Answer:
Step-by-step explanation:
Step-by-step explanation:
Did you mean:
= (a - b)(a + b)
= a.a + b.a - b.a - b.b
= a² + ba - ba - b²
= a² - b²
Answer:
arc RS = 116°
Step-by-step explanation:
Since the 2 chords are congruent then their minor arcs are congruent, that is
SR = TU, substitute values
6x - 28 = 4x + 20 ( subtract 4x from both sides )
2x - 28 = 20 ( add 28 to both sides )
2x = 48 ( divide both sides by 2 )
x = 24
Then
arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°
