Answer:
x=12
Step-by-step explanation:
90 = x + 42 + 3x
48 = x + 3x
48 = 4x
12 = x
Answer:
Step-by-step explanation:
x² + 9x + 18 = x² + 6x + 3x + 18
= x(x + 6) + 3(x + 6)
= (x + 3)(x + 6)
x² + 16x + 63 = x² + 9x + 7x + 63
= x(x + 9) + 7( x+ 9)
= (x + 7)(x + 9)
y² + 13y + 36 = y²+ 9y + 4y + 36
= y(y + 9) + 4(y + 9)
= (y + 4)(y + 9)
(a). Factored form of the expression (y² + 13y + 36) is (y + 4)(y + 9).
Therefore, Lyndsey's answer is wrong.
(b). Factors are (y + 4) and (y + 9).
(c). Factored form of the expression should be (y + 4)(y + 9) instead of Lindsey's answer (y + 6)(y + 6).
The area of the triangle is given as: ≈ 70.50cm²
<h3>What is the explanation to the above solution?</h3>
Area of shaded region = Area of the sector less Area of the Triangle.
This is represented as:
π r² (∅/360) - 1/2 x b x h
= π x 14² x (46/360) - (1/2) x 14 x 10.0708
= 78.6794 - 70.4956
= 8.1838 cm²
Hence, the area of the triangle is (1/2) x 14 x 10.0708
= 70.4956 cm²
Learn more about Area of Triangle at:
brainly.com/question/23945265
#SPJ1
Answer:
48.16
167.68
Step-by-step explanation:
New value =
36 - Percentage decrease =
36 - (14% × 36) =
36 - 14% × 36 =
(1 - 14%) × 36 =
(100% - 14%) × 36 =
86% × 36 =
86 ÷ 100 × 36 =
86 × 36 ÷ 100 =
3,096 ÷ 100 =
30.96
New value =
262 - Percentage decrease =
262 - (36% × 262) =
262 - 36% × 262 =
(1 - 36%) × 262 =
(100% - 36%) × 262 =
64% × 262 =
64 ÷ 100 × 262 =
64 × 262 ÷ 100 =
16,768 ÷ 100 =
167.68
