
Integrating gives

To compute the integral, substitute
, so that
. Then

Since
for all
, we can drop the absolute value, so we end up with

Given that
, we have

so that

Answer:
<CAB and <DAE are vertical angles
<EAB and <CAD are vertical angles
Step-by-step explanation:
this is because they are formed by the prolongation of the sides of the other angles and are opposite to them on the other side of the vertex.
Answer:
47.7 square units
Step-by-step explanation:
The area of triangle ABC with two given sides and an inclusive angle =
1/2absinC
Where : a = 8, b = 12, C = 84
Area of Triangle ABC = 1/2 × 8 × 12 × sin 84
Area of Triangle ABC = 47.737050978 square units
Approximately to the nearest tenth = 47.7 square units.
Answer:
48.6666 round up to 49
Step-by-step explanation
do 584 divided by 12 equals 48.6666 then round up to 49
So we basically need to find 35% of 20. An easy way to find percents is to multiply by the decimal form of said percent. So, .35 x 20 = 7.
Brea will hit the ball approximately 7 times when she is at bat.