Answer:
units
Step-by-step explanation:
Considering an equilateral triangle, the measure of the angles are 60ᵒ each and the sides have equal length of 2 units. If the equilateral triangle is divided into two equal right triangles, we have angles 30ᵒ, 60ᵒ and a right angle.
Let the value of the side opposite 60ᵒ angle be represented by x., the side opposite the right angle is 2 units, and that opposite the 30ᵒ is 1 unit.
Applying the Pythagoras theorem to determine the unknown side of the triangle, we have;
= +
= +
4 = + 1
= 4 - 1
= 3
⇒ x =
The length of the side opposite 60ᵒ angle is units.
Answer: 23) 40 mph
24) yes. 3.18
25) 44.2%
26) 20 - 30 mph
<u>Step-by-step explanation:</u>
23)
24)
25)
26)
The largest increase is from 20 - 30 mph
Answer:
Step-by-step explanation:
<u>Question 1</u>
<u />
Given integral:
Using <u>Integration by parts</u>:
Therefore:
<u>Question 2</u>
<u />
Rewrite the given integral:
Use the trig identity to rewrite :
<u>Integration by substitution</u>
Therefore:
Finally, substitute back in:
It shows the median. It is the middle line on the plot near the 35 mark.