A parabola in mathematics is basically plane curve which is mirror-symmetrical and is approximately U-shaped. A point and a line in a U shape.
Example below:
Answer:
15 gallons
Step-by-step explanation:
So the easiest way to solve this one is basic reasoning. It's easy to find 3/4 of a number if you know what 1/4 is.
20/4 = 5, or 1/4 of 20 = 5
3/4 is 3 times as much as 1/4, so 5(3)=15
Or, you can solve using a proportion
3 x
_ = _
4 20
(those are fractions)
Cross multipy
3 (20) = 4x
60 = 4x
Divide both sides by 4 to isolate the variable
15 = x
The final way to solve this is by converting the decimal to a fraction. 3/4 = 0.75
20 x 0.75 = 15
Answer:
The angle θ, that the device needs to scan is 16.795°
Step-by-step explanation:
Here we have
Height of room = 11 ft
Width of room = 15 ft
Length of room = 18 ft
Position of camera = 6 inches below the ceiling = 11 ft - 6 in = 126 in = 10.5 ft
Distance from camera to edge of long side of the room is given by the following relation;
Long edge of angle = √((18 ft)²+(10.5 ft)²) = 20.839 ft
Shorter edge of angle = √((15 ft)²+(10.5 ft)²) = 18.31 ft
Opposite side of required angle = √((18 ft)²+(15 ft)²) = 23.431 ft
Therefore, by cosine rule, we have
a² = b² + c² - 2·b·c·cos A
We therefore put our a as the opposite side of the required angle, A so we can easily solve for it
our b and c are then the other two sides
23.431² = 20.839² + 18.31² - 2×20.839×18.31×cosA
∴ cos(A) = (23.431² - (20.839² + 18.31²))÷(2×20.839×18.31)
cos(A) = 220.5/763.12418 = 0.29
A = cos⁻¹0.29 = 16.795°
The angle θ, that the device needs to scan = 16.795°.
Answer:
(2,5)
Step-by-step explanation:
-x+y=3
-5x+y=-5
4x=8
x=2
2+3=5
