Answer:
Line A, (horizontal slope), Line B, (Negative slope) Line C, (Vertical slope) Line D, (Undefined slope)
Step-by-step explanation:
A decagon has 10 sides (think decade and decathlon). From the center of the decagon we draw the radii and in doing so we take the area of the decagon and divide it into 10 congruent Triangles.
The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.
Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.
Thus the answer to the second part, trhe measure of the angle between a radius and the side of the polygon is 72 degrees.
Answer:
The probability that 8 mice are required is 0.2428.
Step-by-step explanation:
Given : A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.
To find : What is the probability that 8 mice are required? The probability that that 8 mice are required is nothing ?
Solution :
Applying binomial distribution,
Where, p is the probability of success 
q is the probability of failure q=1-p, 
n is total number of trials n=8
r=3
Substitute the values,
Therefore, the probability that 8 mice are required is 0.2428.
Answer:
since the lengths are consecutive odd numbers and the perimeter of the triangle is 51cms. Let x be the unknown length.
so 3x=51 ; x=17 . now the sides can be 15cms, 17cms, 19cms.
check Add them up it is 51cms which is the perimeter and the consecutive odd numbers
Answer:
Exponential
Step-by-step explanation:
The y values are going up by a factor of 2 as x increases.
