Answer:
answers us a because that's the less sign and 1 is less than 2
You have a 300 feet side length square and you need to calculate the length of the diagonal. When you split the square along one diagonal you get triangles, so you can apply Pythagoras' Theorem, with the hypotenuse as the needed diagonal.
a²+b²=c²
300²+300²=c²
2*300²=c²
√(2*300²)=c
√(2) * √(300²)=c
√(2) * 300=c
c~424.26 ft which is the solution/option c
To find the slope use the formula
Y2-Y1
---------
X2-X1
(-1,-4) (1,4)
4- -4 = 8
-------------
1- -1 = 2
8/2=4 This will be your slope
Y=4x
Now we must figure out the y-intercept using the formula
Y-y1=slope(x-x1)
Y- -4= 4(x- -1)
Y+4= 4x + 4 The 4 distributes to the x and -1
Y=4x +4
-4
Y= 4x
This is your answer in slope intercept form.
P.S if you have a number minus a negative number it makes it a positive number
The formula for the volume of a cone is
v = ( 1 / 3) h pi r^2
where h is the height of the cone
pi is 3.1416
r is the radius of the cone
since diameter is given
D = 2r
r = D/2 = 4/2 = 2 in
substitute the given
V = (1/3) (6) (3.1416) (2^2)
V = 25.1 cubic in