Answer:
x = 3±√5
Step-by-step explanation:
x² - 6x + 4 = 0
x² - 6x + 9 = -4 + 9
(x - 3)² = 5
x - 3 = ±√5
x = 3±√5
Answer:
Option (2) is the answer.
Step-by-step explanation:
From the figure attached,
AB represents the length of Mr. Ray, ED represents the light post and the mirror was placed at point C.
Here AB = d = 6 feet
CD = w = 32 feet
BC = f = 9 feet
Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.
![\frac{AB}{DE}=\frac{BC}{CD}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BDE%7D%3D%5Cfrac%7BBC%7D%7BCD%7D)
![\frac{6}{h}=\frac{9}{32}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7Bh%7D%3D%5Cfrac%7B9%7D%7B32%7D)
h = ![\frac{6\times 32}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B6%5Ctimes%2032%7D%7B9%7D)
h = 21.33 feet
h ≈ 21.3 feet
Therefore, height of the light post is 21.3 feet.
Option (2) is the answer.
Answer:
b=11.6m
Step-by-step explanation:
If this is a right triangle;
a^2+b^2=c^2
A and B are both LEGS, while C is the HYPOTENUSE
(8.7^2)+b^2=(14.5^2)
b^2=(14.5^2)-(8.7^2)
b^2=134.56
b=plus or minus 11.6
Because length can't be negative, it's +11.6
Answer:
A = 176.7 units²
Step-by-step explanation:
Put the hint to use. Do these side lengths reflect the Pythagorean Theorem?
9^2 + 12^2 = 15^2?
81 + 144 = 225? YES
Therefore, this is a right triangle, and the diameter is 15 units.
Thus, the radius is 15/2 units, and the area is A = πr², or
A = π(15/2 units)² = (225/4)π units². Using 3.14 for π, we get:
A = 176.7 units²
The total parking space is 88. 4 are reserved which leaves us with 84. 48 of the remaining cars are for full size cars with a remaining of 36 cars that are compact cars. The ratio of compact to full size is 36:48 to simplify it divide by 3 on bot sides. You get a ratio of 3:4