The circumference can be obtained fairly easily by simply substituting the d in c = πd for the colony's given diameter of 12 mm. Performing that calculation using the approximation of π ≈ 3.14, we obtain a circumference of 12 x 3.14 = 37.68 mm.
To find the radius, remember how the diameter and radius of a circle are defined. The radius is a length extending from the center of a circle to a point on its circumference, and a diameter is a line extending from one point on the circle's circumference to an opposite point, passing through the circle's center along the way. The diameter can, in this way, be defined as twice the length of the radius, which means we can find the radius of a circle by taking half of its diameter. In this case, our diameter is 12 mm, so our radius would be 6 mm.
Answer:
The correct answer to this question is A) 19 cubic feet of snow
Step-by-step explanation:
To solve this, use the equation V = 4/3 (π r^3) to get the volume of each. Then add all the volumes together: (1ft x3.14) + (2ft x3.14) + (3ft x3.14). You will get 19 cubic feet of snow. This is how much snow is needed to build the whole snowman.
speed is 45 miles per hour. 135/45=3, so the answer is 3hours (A)
Answer:
Step-by-step explanation:
Find distance between B and market: |B-M|=|M-B|
Distance between A and B: 
, call this equation (1)
Distance between A and market 
, call this equation (2)
Solve (1) - (2)
Answer: the system has no solution.
Step-by-step explanation:
\displaystyle\\
\left \{ {{x^2y=16\ \ \ \ \ (1)} \atop {x^2+4y+16=0\ \ \ \ \ (2)}} \right. .\\
Multiply\ both\ sides\ of\ the\ equation\ (2)\ by\ y\ (y\neq 0):\\
x^2y+4y^2+16y=0\\
We\ substitute\ equation\ (1)\ into\ equation\ (2):\\
16+4y^2+16y=0\\
4y^2+16y+16=0\\
4*(y^2+4y+4)=0\\
4*(y^2+2*y*2+2^2)=0\\
4*(y+2)^2=0\\
Divide\ both\ sides\ of\ the \ equation\ by\ 4:\\
(y+2)^2=0\\
(y+2)*(y+2)=0\\
So,\ y+2=0\\
y=-2.\\
