a) 62.855m
We will need to use the Pythagorean Theorem here, as we know a and c, but not b. I have attached an image of a triangle sketch to set up the problem, which should hopefully help us to visualize this problem a bit better.
Pythagorean Theorem: a^2 + b^2 = c^2
(19.8)^2 + b^2 = (65.9)^2
392.04 + b^2 = 4342.81
b^2 = 3950.77
b = 62.855 (rounded to 3 places)
b) m = 0.315
The gradient is also known as the slope. I've shown what the points would be in the image attached. Now that we know the value of b (x in the points in image), we can use points E and C to find the slope.
Point 1: (0,0)
Point 2: (62.855, 19.8)
m = (19.8 - 0) / (62.855 - 0)
m = 19.8 / 62.855
m = 0.315 (rounded to three places)
c) 17.485 degrees
The angle of inclination would be angle C. To find angle C, we will need to use an inverse trigonometry function. Any can be used since we know all of the side lengths, but I will show Sine here, opposite / hypotenuse.
sin(x) = 19.8 / 65.9
x = sin^-1 (19.8/65.9)
x = 17.485 degrees (rounded to 3 places)
Hope this helps!! :)
Answer:
3 ft times<em> x </em>ft
Step-by-step explanation:
You don't know what the x is so you can keep it as a x.You are going to multiply it so it is 3 ft times<em> x </em>ft
Answer:
Step-by-step explanation:
According to the question, the correct graph is D.
It's not A because, the ball is thrown after some pause and the ball doesn't roll on the roof, falls immediately.
It's not B or C because the ball goes up after reaching the roof but should fall down.
area of a circle is PI x r^2
2 = d/2 = 5.4/2 = 2.7 cm
using 3.14 for PI
3.14 x 2.7^2 = 22.89 square inches
360 degree in a circle, shaded area is 180 degree, which is 50%
so 22.89 x .5 = 11.45 cm^2
Answer:
Function B has the greater rate of change
Step-by-step explanation:
Function A has a slope of 1/3
Function B has a slope of 1/2
When comparing slopes, the higher value has the greater rate of change
1/2 > 1/3