Answer:
16.1 cm (nearest tenth)
Step-by-step explanation:
<u>Pythagoras’ Theorem</u>
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
- a = 16 cm
- b = 2 cm
Substitute the given values into the formula and solve for c:
Collins middle school 180 sixth grade students. If the sixth grade is 30% of the total school, how many students are in the midd
1 answer:
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Answer:
see explanation
see explanationStep-by-step explanation:
21
Note that
(a - )²
= a² - 2 +
= a² + - 2
= 11 - 2
= 9
Thus
(a - )² = 9 ( take the square root of both sides )
a - = 3
22
Since the expression is a perfect square, then
(4x + 5y)²
= 16x² + 40xy + 25y²
Comparing coefficients, then
a - 1 = 40 ( add 1 to both sides )
a = 41
23
99² - 87² ← is a difference of squares and factors as
= (99 - 87)(99 + 87)
= 12 × 186 = 1152, thus
24a = 1152 ( divide both sides by 24 )
a = 48
