The first thing we are going to do is draw a diagram of the situation to help us to solve the situation.
We an draw tow similar triangle between the length of the shadows and the height of the stick and the pole.
Since <span>meter stick has a length of 1 meter, the height of our smaller triangle is 1 meter. Let </span>
be height of of the pole. Since both triangles are similiar we can establish a proportion between their corresponding sides and solve for
:
We can conclude that the pole is
4.04 meters tall.
Answer:
169 sections
Step-by-step explanation:
A couple wants to install hardwood into their bedroom. The wood is bought in 0.5×5 square foot pieces
The area of the 0.5×5 square foot pieces
Area= 0.5*5.
Area= 2.5 square feet
They have 422 square feet of floor on which to install the hardwood.
Number of sections to be purchased
= 422/2.5
= 168.8 sections
Approximately= 169 sections
To start, the question is asking for surface area of a cylinder, meaning you will have to use this formula to find it: A=2πrh+2πr^2.
Since you already know that the diameter of the plastic cylinder is 4 marbles long, and each marble is 2 cm in diameter, you would multiply 4 and 2 to get that your diameter is 8 cm. However, since the surface area of a cylinder formula uses radius, you would simply divide 8 by 2 to get that the radius of the cylinder is 4 cm.
Now, since you already know that the height of the cylinder is equal to 10 marbles, multiply the amount of marbles by 2 to get that the height of the cylinder is 20 cm.
Now that you know the height and the diameter of the cylinder, plug the values into the formula: A=2π(4)(20)+2π(4)^2.
Assuming that pi is 3.14, simplify the equation as according to PEMDAS and you get that the area of plastic needed to make one cylinder is 602.88 cm squared
Answer:
3^15/5^16
Step-by-step explanation:
(3^3 x 3^6 x 5^-4) / (3^-6 x 5^12)
= (3^3 x 3^6 x 3^6) / (5^12 x 5^4)
= 3^15 / 5^16
