They are most likely to meet on the 24th since it is a common multiple of both 8 and 3.
The measure of the vertex angle of the isosceles Δ is 96°
Step-by-step explanation:
In the isosceles triangle
- Two sides are equal in lengths
- The angle between the two equal sides is called vertex angle
- The other two angles are called base angles
- The base angles are equal in measure
∵ The measure of one of the base angles of an isosceles Δ = 42°
- The base angles are equal in measure
∴ The measure of the other base angle = 42°
∵ The sum of the measures of the interior angles of any Δ = 180°
∴ 42 + 42 + measure of the vertex angle = 180
∴ 84 + measure of the vertex angle = 180
- Subtract 84 from both sides
∴ measure of the vertex angle = 96°
The measure of the vertex angle of the isosceles Δ is 96°
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Answer:
47.5 Meters
Step-by-step explanation:
Find where the derivative changes from positive to negative (local maximum)
h(t)=
h'(t)=
Find where the derivative equals zero
Theres no spot where the derivative wont exist because its a polynomial.
-12t=-30
t=
Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.
Now plug into original equation
h(2.5)=
=-37.5+75+10
=47.5