Answer:
42.1
Step-by-step explanation:
The height of the main triangle is,
h = 47√3/2 (since it's an 30-60-90 triangle)
so to find x,
tan(44) = h/x
x = h/tan(44)
x = 42.1 (rounded to the nearest tenth)
Answered by GAUTHMATH
Answer: One vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.
Step-by-step explanation:
You know that lenght of the mantel above their fireplace is 12 feet.
They want to place one vase 
of the distance from one end of the mantel. This distance in feet is:
They want to place the other vase 
of the distance from the same end of the mantel. Therefore, this distance in feet is:
Therefore, one vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.
Answer/Step-by-step explanation:
The missing length can be found by applying pythagorean theorem. Thus:
Missing length = √((8x)² - (2x)²)
Missing length = √(64x² - 4x²)
✔️Missing length = √(60x²) = 2x√15
Plug in the value of x which is 3
Missing length = 2*3√15
✔️Length = 6√5
Answer:
The circle's centre is at the position (3, 5), and it has a radius of 2
Step-by-step explanation:
First let's put it in a useful format by completing the squares:
x² + y² - 6x - 10y + 30 = 0
x² - 6x + y² - 10y = -30
x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25
(x - 3)² + (y - 5)² = 4
This tells us that the centre position is (3, 5) and the radius is √4, or 2
Answer:
14 yd
Step-by-step explanation:
The cross section is a triangle with a height of 19 and a base of x
Area of a triangle = bh/2
133 = 19x/2
266 = 19x
x = 14
