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the value of "x" is 5 and the value of "y" is 12
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:
Parent's share would be : 28%
Step-by-step explanation:
Cost of the computer = $2000
Anya's share = $1200
Brother's share = $240
Parents paid rest. That will be : 2000 - 1200 - 240 = $560
Percentage of parents share :
Answer:
Dimension of gymnasium= 9 units and (3x+2) units.
Step-by-step explanation:
We have been given the area of a gymnasium is 
square units. We are asked to find possible dimensions of gymnasium by factoring our given expression for area of gymnasium.
Let us factor our greatest common factor of our given expression. We can see that 9 is the GCF of our given expression.
Upon factoring out 9 from our given expression we will get,
Therefore, the possible dimensions of the gymnasium will be 9 units and (3x+2) units as we will get the same area for gymnasium by multiplying these both dimensions.
