5. The measures of two sides of a parallelogram are 50 and 80 inches, while one diagonal
1 answer:
Answer:
Other diagonal is 98.5 inches long.
Step-by-step explanation:
Formula to get the measure of diagonals of a parallelogram is,
where x and y are the lengths of the diagonals and a and b is the measure of two non parallel sides.
If a = 50 inches, b = 80 inches and x = 90 inches,
then from the given formula,
90² + y² = 2(50² + 80²)
y² = 2(2500 + 6400) - 8100
y² = 17800 - 8100
y =
y = 98.49
≈ 98.5 inches
Therefore, other diagonal of the parallelogram is 98.5 inches long.
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Answer:
I think this is a pretty good question of law of indices
Step-by-step explanation:
Given that
a) express n in terms of p and q ,
b) hence if p = 1 and q = 2 find the value of n
Solution to part a)
Simplify the equation and how do we do that? As we can see that 9 can also be written as 3^2 and 27 can be written as 3^3 we can rewrite the following equation like this,
now we multiply p with 2 and
multiply q with 3 respectively,
now since the bases are same and are multiplying the exponents will add themselves like this, in this equation the number 3 is the base
now since the bases on the left hand side and on the right hand side are equal the exponents will also be equal so now,
hence n is expressed in terms of p and q
Solution to part b)
if p = 1 and q = 2 we plug in these values in the above equation we found for n
n = 2p + 3q
n = 2(1) + 3(2)
n = 2 + 6
n = 7