Answer:
12mm
Step-by-step explanation:
circumference (distance around) is equal to πd.
here, if π is 3, we do 3 x the diameter, which is 4. 3 x 4 = 12mm
Answer:
See Below.
Explanation:
Quadratic Form:

Quadratic Formula:

Based on the information given from the question, we can deduce:
a = 1
b = 6
c = -5
Now we can substitute all these values into the formula to find x.

Answer:
y = 2x + 2
Step-by-step explanation:
The equation ofa line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 4 ← is in slope- intercept form
with m = 2
Parallel lines have equal slopes , thus
y = 2x + c ← is the partial equation
To find c substitute (3, 8) into the partial equation
8 = 6 + c ⇒ c = 8 - 6 = 2
y = 2x + 2 ← equation of parallel line
Answer:
9 ft
Step-by-step explanation:
Let's begin with the formula for the volume of a square pyramid. If s is the base length, then the area of the base is s^2. The volume of the pyramid is then V = (1/3)(base area)(height). We know the volume and the base length (s), and want to find the height. Solving V = (1/3)(base area)(height)
for height, we get:
3V = (base area)(height), or
3V
---------------- = height
base area
Substituting 75 ft^3 for V and (5 ft)^2 for base area, we get:
3(75 ft^3) 9 ft
height = ------------------ = ----------------- = 9 ft
25 ft^2 1