There are 220 chickens and pigs on the farm.
If Rita has driven 30 miles so far (three-fifths of the way home), you can calculate what is the total length of her drive using the following steps:
x ... total length
three-fifths of the way home = 30 miles
3/5 of x = 30 miles
3/5 * x = 30 /*5/3
x = 30 * 5/3
x = 50 miles
The total length of her drive is 50 miles.
Answer:
405 cm²/s
Step-by-step explanation:
The dimensions are increasing at the rate of 3 cm/s, so the dimensions in cm can be described as a function of time by ...
3 + 3t
and
6 + 3t
Then the area is the product of these, or ...
A = (3 +3t)(6 +3t)
A = 9t² +27t +18
and the rate of change of area is given by its derivative with respect to t:
A' = 18t +27
When t=21, the value of this is ...
A'(21) = 18·21 +27 = 405 . . . . cm²/s
Answer:
Hexagonal pyramid DOES NOT have any rectangular faces
Step-by-step explanation:
Given some solids we have to choose that one which DOES NOT have any rectangular faces
Pentagonal prism has total 7 faces out of which two faces are pentagons and 5 are rectangular.
Hexagonal pyramid is a pyramid with a hexagonal base upon which are erected 6 isosceles triangular faces.
It has no rectangular face.
Rectangular prism is a solid with 6 rectangular faces also known as cuboid.
Square pyramid is a pyramid with 1 square base. As every square is a rectangle.
we can say 1 rectangular face.
Hence, Hexagonal pyramid DOES NOT have any rectangular faces.
Option B is correct.
Answer:
D) $11,499.63
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 4% into a decimal:
4% ->
-> 0.04
Since the interest is compounded 6 times a year, we will use 6 for n. Lets plug in the values now:


Your answer is D) $11,499.63