Hello.
A trinomial is a perfect square if the square root of the first term times the square root of the third term times 2 equals the middle term.
a) Adding 1/9:
b) Adding 4/9:
c) Adding 4 and 1/9:
Hope I helped.
Answer:
wow thats one hard equationnnnn
Step-by-step explanation:
Answer:
First you have to find x.
A stratight line is 180 degree.
Therefore, we have:
16x+8+4x-8=180
20x= 180
x= 9
Angle BAT = 16x+8= 16(9)+8= 152 degree.
Angle CAT= 180-152= 28 degree.
Using the concept of probability and the combination formula, it is found that there is a 0.4444 = 44.44% probability they get to be on the same team.
--------------------
- A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
- The order in which the children are chosen is not important, which means that the combination formula is used to find the number of outcomes.
--------------------
<u>Combination formula:
</u>
is the number of different combinations of<u> x objects from a set of n elements</u>, given by the following formula.
--------------------
Finding the number of desired outcomes:
- Andy and Ollie on the same team, plus 3 children from a set of 8.
- Can be on either team, blue or red, so multiplied by 2.
--------------------
Finding the number of total outcomes:
- <u>5 children from a set of 10</u>, thus:
--------------------
The probability is:
0.4444 = 44.44% probability they get to be on the same team.
A similar problem is given at brainly.com/question/22931444
See the picture to better understand the problem
we know that
A regular dodecagon has 12 sides
Central angle of a regular polygon is an angle whose vertex is the center of the polygon with two consecutive radii
thus
the measure of a central angle is
m∠AOC=360/n
where n is the number of sides
so
m∠AOC=360/12-----> 30°
therefore
the answer Part a) is <span>
the measure of the angle formed by two consecutive radii is 30 degrees
Part b)
we know that
OAC is an isosceles triangle
so
OA=OC
m</span>∠OAC=m∠OCA
<span>the sum of the internal angles of a triangle is 180 degrees
</span>so
180=2*m∠OAC+m∠AOC-----> m∠OAC=[180-30]/2----> 75°
the answer part b) is <span>
the measure of the angle formed by a radius and a side is 75</span>
°