Plot the approximate values of and on a number line and determine which of the following statements are correct.
1 answer:
9514 1404 393
Answer:
- square root of 5 is approximately 1 less than square root of 10
- square root of 10 is between 3.1 and 3.2
- square root of 10 is less than 3.5
Step-by-step explanation:
√5 and √10 are plotted on the number line shown below.
Rounded to 1 decimal place, √5 ≈ 2.2 and √10 ≈ 3.2, so it could be said they differ by about 1 unit. The above answer choices are the ones that match the graph.
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Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:
where:
= length of apothem
= perimeter
<u>Heptagon</u>
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
<u>Octagon</u>
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
<u>Triangle</u>
Formula for the apothem of an equilateral triangle :
where
= side length
a = 4, so:
Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²