Answer:
25.9 years
Step-by-step explanation:
The half life of an isotope is related to the actual amounts by the equation:
N = Ni*(1/2)^(t/HL)
where N and Ni are the final and initial (Ni) amounts, t is the time (in years for this problem) and HL is the half-life, in years.
In this problem, we can write:
100 = 360*(1/2)^(x/14)
I'll reduce this to:
1 = 3.6*(1/2)^(x/14)
This can be solved by taking the log of both sides.
x = 25.87 or 25.9 years
64 is a composite because 64 × 1 = 64 and 8×8=64
Answer:
c
Step-by-step explanation:
I think this is right
Construct two angle bisectors of the triangle
Answer:
Option (D) is correct
<u>Step-by-step explanation:</u>
We have to contruct two angle bisectors of the triangle.
various steps to inscribe the circle in a triangle are
- First draw a triangle
- Draw angle bisector of one angle
- Draw angle bisector of another angle
- Extent these angle bisectors, where they meet that point will be called the incenter
- From incenter draw prependicular to any side of the triangle
- The length from the point where the prependicular touches the side of triangle to the point of incenter will be radius.
- Use this radius and draw the incircle.
Question 84:
The given triangle is an isosceles triangle.
We have measure angle 2 = measure angle 3
We are given that angle 1 = 70°
We know that the sum of the interior angles of the triangle is 180.
This means that:
180 = angle 1 + angle 2 + angle 3
180 = 70 + angle 2 + angle 3
angle 2 + angle 3 = 110
Since both angles are equal, therefore:
measure angle 2 = 110/2 = 55°
We are given that:
measure angle 2 = x + 64
This means that:
x + 64 = 55
x = 55 - 64
x = -9
Question 85:
The given triangle is an isosceles triangle.
We have the two base angles are equal.
Since one of them is 30°, this means that the other is also 30°
We know that the sum of the interior angles of the triangle is 180.
This means that:
180 = angle 1 + angle 2 + angle 3
180 = 30 + angle 2 + 30
angle 2 = 120
We are given that:
measure angle 2 = 14x - 6
This means that:
14x - 6 = 120
14x = 126
x = 126/14
x = 9
Question 86:
The given triangle is an isosceles triangle.
We have the two base angles are equal.
Since one of the base angles is 40°
This means that the other one is also 40°
Therefore:
measure angle 2 = 40°
We are given that:
measure angle 2 = 47 + x
This means that:
47 + x = 40
x = 40 - 47
x = -7
Question 87:
The given triangle is an equilateral triangle. This means that all three interior angles are equal and each is measuring 60°.
Therefore:
measure angle 2 = 60°
We are given that:
measure angle 2 = x + 71
This means that:
x + 71 = 60
x = 60 - 71
x = -11
Hope this helps :)
