Answer:
Step-by-step explanation:
It is useful to remember the ratios between the side lengths of these special triangles.
30°-60°-90° ⇒ 1 : √3 : 2
45°-45°-90° ⇒ 1 : 1 : √2
__
h is the shortest side, and the given length is the intermediate side. This means ...
h/1 = 2/√3
h = 2/√3 = (2/3)√3 . . . . . . simplify, rationalize the denominator
__
b is the longest side, and the given length is the short side. This means ...
b/√2 = 3/1
b = 3√2 . . . . . multiply by √2
Answer: 36
Since the sum of the ratios is 5+7=12
the total number of students must be divisible by 12
The only number within the given range is 36
Answer:
L = 62.5cm; B = 30cm
Step-by-step explanation:
P = 2 (L+W): L=25cm; W=12cm
=2 (25+12)
=50+24
P = 74cm
For a congruent rectangle with P = 185cm
A: 74 = 2 (25 + 12)
B: 185 = 2( ? + ?)
Since A/B are congruent;
185/75 = 2.5
B = 2 (2.5* (25 + 12)
= 2 ( 62.5 + 30)
= 125 + 60
= 185
Hence, B: L = 62.5cm; B = 30cm
185cm = 2 (62.5 + 30)
Answer:
one is using commutative property 4d - 8
another is 2 to power of 4 - 2 to the power of 2
Step-by-step explanation: