i dot know tahans for free point
Answer:
f = 10·√3/3 ≈ 5.774
d = 5·√3/3 ≈ 2.887
Step-by-step explanation:
The given parameters are;
The angles opposite the 90°, right angle, = 60° and 30°
The length of the leg opposite the 60° angle = 5
Therefore, by Pythagorean Theorem, we have;
f² = d² + 5²
However, by trigonometry, we have;
sin(θ) = Opposite/Hypotenuse
For the angle of the triangle, θ = 30°, we have;
sin(30°) = d/f = 0.5
∴ d = f × 0.5 = 0.5·f
Substituting the value of d in the equation given by Pythagorean Theorem, we have;
f² = (0.5·f)² + 5² = 0.25·f² + 5²
f² = 0.25·f² + 5²
f² - 0.25·f² = 5²
0.75·f² = 5²
f² = 5²/0.75 = 100/3
f = 10/√3 = 10·√3/3
f = 10·√3/3
d = f × 0.5 = 10·√3/3 × 0.5 = 5·√3/3
d = 5·√3/3.
Answer:
2.867
Step-by-step explanation:
Simplifying 6ab + 3ab - 7ab
so we can write it
6ab + 3ab - 7ab = 0 ( because there is nothing on right side )
9ab - 7ab = 0
2ab = 0
So the coefficient of ab is 2.
Correct option is C.
Answer:
Step-by-step explanation:
L = 2 + sqrt(2)
W = 4 - 2sqr(2)
Area = L * W
Area = (2 + sqrt(2) )* (4 - 2sqrt(2) )
Use Foil
- F: 2*4 = 8
- O: 2*(-2sqrt(2) = - 4sqrt(2)
- I: 4*sqrt(2)
- L: sqrt(2)*(-2sqrt(2) = - 2*2= - 4
Result
Area = 8 - 4 - 4sqrt(2) + 4sqrt(2)
Area = 4