Answer:
X= 5, -9
Step-by-step explanation:
(X+2)² =49
Expand the bracket,
(X+2) (X+2)= 49
Apply the distributive property;
X(X+2) +2 (X+2) =49
X²+2X+2X+4=49
X²+4X+4=49
Move 49 to the left side of the equation;
X²+4X+4-49=0
X²+4X-45=0
Apply Factorisation method;
Consider the form
a²+bx+c=0
Find two numbers whose sum is equal to b and whose product is equal to c.
Comparing with our equation;
B =4 and C =45
We can use 9 and -5, this is because ;
9+(-5)=4 and 9*(-5)= 45.
Replace X +4X-45=0 with (X-5) (X+9)=0
Therefore;
X-5=0
X+9=0
Moving to the left side of the equation;
Therefore X= 5 and -9
6 with the remainer of 4.
D. 0.65 since that equals 65% and 0.35 or 35% would equal 100
Answer:
Surface area = 726 cm²
None of the options is correct.
Step-by-step explanation:
Surface area of the composite figure = surface area of cone + surface area of cylinder - 2(area of base of cone)
✔️Surface area of cone = πr(r + l)
Where,
Radius (r) = 5 cm
Slant height (l) = √(10² + 5²) (Pythagorean theorem)
Slant height (l) = 11.2 cm
Plug in the values
= π*5(5 + 11.2)
= 254.5 cm²
✔️Surface area of the cylinder = 2πr(h + r)
r = 5 cm
h = 15 cm
Plug in the values into the formula
S.A = 2*π*5(15 + 5)
S.A = 628.3 cm²
✔️area of base of cone = πr²
r = 5 cm
Area = π*5² = 78.5 cm²
✅Surface area of the composite figure = 254.5 + 628.3 - 2(78.5)
= 882.8 - 157
= 726 cm² (nearest square meter)
None of the options is correct.
