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:
45 quarters
Step-by-step explanation:
1. Think of this as the ration equation 9/3=x/15 where x is the number of quarters to play 15 levels
2. To solve the ratio, you need to cross multiply, and then divide
3. Multiply 9 times 15 (135)
4. Divide that number by 3 (45), and that's your answer!
Answer:
20
Step-by-step explanation:
You will do 60/3 and you will get 20
Answer:
c = -6
Step-by-step explanation:
Let us solve your equation step-by-step, which is this: c
/−3 + 5 = 7
The first step is to simplify both sides of the equation: −1
/3
c + 5 = 7
Then, subtract 5 from both sides: -1/3c + 5 - 5 = 7 - 5 ---> -1/3c = 2
Multiply both sides by -3/1 making it equal to: c = -6.
These are the steps good luck
