Answer: 
Step-by-step explanation:
1. You know that:
- The number of floors is given by the expression 
.
- The height of each floor is given by the expression 
.
2. Then, to find the expression that shows the total height of the office building, you must multiply the height of each floor by the number of floors. Therefore, you obtain the following result:
The given expressions are 
and 
We have to find the sum of the given expressions,
Combining the like terms of both the expressions, we get
=
.
The equation for area of a triangle is 0.5*base*height, so when you halve both the base and height, the area gets divided by 4.
The area of the first triangle is 0.5*80*40 = 1600 cm^2.
6 1/4 cm^2 is the same as 25/4 cm^2.
Now, we have to see how many times 1600 cm^2 can be divided by 4 to get 25/4 cm^2.
Area of second triangle: 1600/4 = 400
Area of third triangle: 400/4 = 100
Area of fourth triangle: 100/4 = 25
Area of fifth triangle = 25/4
So, the fifth triangle has an area of 6 1/4 cm^2.
The pattern would be the area of the nth triangle =
Answer:
401.92u^3
Step-by-step explanation:
Volume for a cylinder=(pi*r^2)*h because it is the area of the circle times the height of the cylinder so,
(3.14*4^2)*8=401.92
Answer: 1008 letters
Step-by-step explanation:
From the question, last Monday, a local mail carriers delivered 1,344 pieces of mail and of all the deliveries they made, 1 / 6 were magazines, 1 / 12 were packages, and the rest were letters. The fraction of letters will be:
= 1 - (1/6 + 1/12)
= 1 - (3/12)
= 9/12 = 3/4
We will now multiply 3/4 by 1344 to get the number of letters delivered.
= 3/4 × 1344
= 1008 letters
