Answer:
Step-by-step explanation:
- 2/(5 - √3) =
- 2(5 + √3)/(5 - √3)(5 + √3) = multiply by conjugate of the denominator
- 2(5 + √3)/(25 - 3) = simplify
- (5 + √3)/11 answer
Answer:
a) d = 36 ft. ( using Pithagoras´theorem )
b) d = 36 ft ( Using ( function sin ) trigonometry
Step-by-step explanation:
a) Using Pythagoras´Theorem:
Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.
d² = a² + b²
In this particular case a = b = 25 feet then
d² = (25)² + ( 25)²
d = √ 2 * (25)²
d = √2 * 25
d = 1,414*25
d = 35,35
d = 36 ft.
b) Using trigonometry:
We know that sin 45° = cos 45° = √2 / 2
In a right triangle
sin α = opposite side / hypothenuse (d)
sin 45° = √2 / 2 = 25/ d
√2 *d = 2* 25
d = 50/√2
d = 50 / 1,414
d = 35,36
d = 36 ft
Answer:
y = (3x)/10
Step-by-step explanation:
quotient = divide
2,3,4,1, the probability is in order from greatest to least. If they asked for least to greatest then, 1,4,3,2. So use the least to greatest one.
<em>Answer:</em>
∠WVR = 156
<em>Step-by-step explanation:</em>
Angles in a triangle add up to 180
∴ ∠SRT + RST + RTS = 180
∴ ∠SRT + 109 + 47 = 180
∠SRT = 24
Alternate Angle Theorem
∠SRT = 180 - ∠WVR
24 = 180 - ∠WVR
24 - 180 = - ∠WVR
-156 = - ∠WVR
∠WVR = 156
Have a beautiful day.
