Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
Answer:
32 pavers
Step-by-step explanation:
step 1
Find out the area of one square paver
The area of a square is
where
s is the length side of the square
we have
substitute
step 2
Find out the area of the rectangular patio
we know that
The area of a rectangle is
we have
substitute
step 3
Find out the number of pavers needed to build the patio
Divide the area of the rectangular patio by the area of one paver
Answer:
is the simplest form of given expression.
Step-by-step explanation:
The given question is
To solve the problem we have to group or split middle term and then factorise
Taking common from first two terms of denominator and 2 from next two terms
Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms
Now cancel out x-1 from both numerator and denominator we get
is the required simplest form.