The length of the unknown sides of the triangles are as follows:
CD = 10√2
AC = 10√2
BC = 10
AB = 10
<h3>Triangle ACD</h3>
ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.
where
c = hypotenuse side = AD = 20
a and b are the other 2 legs
lets use trigonometric ratio to find CD,
cos 45 = adjacent / hypotenuse
cos 45 = CD / 20
CD = 1 / √2 × 20
CD = 20 / √2 = 20√2 / 2 = 10√2
20² - (10√2)² = AC²
400 - 100(2) = AC²
AC² = 200
AC = √200 = 10√2
<h3>
Triangle ABC</h3>
ΔABC is a right angle triangle too. Therefore,
Using trigonometric ratio,
cos 45 = BC / 10√2
BC = 10√2 × cos 45
BC = 10√2 × 1 / √2
BC = 10√2 / √2 = 10
(10√2)² - 10² = AB²
200 - 100 = AB²
AB² = 100
AB = 10
learn more on triangles here: brainly.com/question/24304623?referrer=searchResults
Answer:
≈ 6360 m³
Step-by-step explanation:
Volume of a cylinder = πr²h
radius = 12 m, h= 42.2 m
Therefore; V = 3.142 × 12² × 42.2
= 19093.3056 m²
Since the tank 1/3 full of water;
Volume = 1/3 × 19093.3056 m³
= 6364.4352 m³
≈ 6360 m³
Answer:
When you have a common denominator of 6, 2 goes to a 4 and 5/6 is greater than 4/6. That is why 5/6 is greater than 2/3.
The third one :) I hope I did it right
