Answer:
Step-by-step explanation:
I am assuming that by "interior" angle you do not mean the central angle.
This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.
Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:
180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.
Answer: 3(x+4)=x+18
Step-by-step explanation: Break down the problem. It says three times the sum of a number and 4. You have to add the number and 4 first. Since you're multiplying by 3, put the sum of a number and 4 in parentheses. This equals the same as eighteen more than the number. It set up how it sounds. Add 18 to the number.
Question:
(a) How many bacteria would be found in 24 hours
(b) How many bacteria would be found in 2 days
(c) How long for 1000 bacteria to be found
Answer:
(a) 282429536481 bacteria
(b) 
bacteria
(c) 6 days
Step-by-step explanation:
The question illustrates an exponential function
Where
--- i.e. triples
Solving (a): Bacteria in 24 hours
In this case:
Substitute , 
and 
So:
bacteria
Solving (b): Bacteria in 2 days
So:
Substitute , and
So:
bacteria
Solving (c): How long for 1000 bacteria
In this case:
Substitute , and
So:
Take Log of both sides
This gives:
Make x the subject
<em>Hence: It takes 6 days</em>
