Answer:
The length of the unknown sides of the triangles are as follows:
CD = 10√2
AC = 10√2
BC = 10
AB = 10
ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.
c² = a² + b²
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
ΔABC is a right angle triangle too. Therefore,
AB² + BC² = AC²
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
Step-by-step explanation:
Answer:
Cosine
Step-by-step explanation:
SohCahToa
The sides are: adjacent to the angle and are the hypotenuse.
(hope this helps :P)
Answer:
78.75
Step-by-step explanation:
450 is increased by 75%
450 + 450*75%
Change to decimal form
450 +450*.75
450+337.5
787.5
Now decrease by 90%
787.5-787.5*90%
Change to decimal form
787.5-787.5*.9
787.5-708.75
78.75
720 divided by 8 and then look up the answer to that as a fraction on Google
Answer: 19 years
Step-by-step explanation:
Given
Amount invested 
Rate of interest 
after 1-year amount becomes
After n years it is
Sum accumulated is 
