Answer:
∠C = 80 ° ; ∠ T = 40°.
Step-by-step explanation:
Triangle CRS is isosceles because it has two sides of equal length. (CR and CS are radii).
An isosceles triangle has also two equal angles, which means that ∠CRS= ∠CSR.
Therefore, ∠C = 80 ° (180° – 50° - 50°) because the sum of angles in a triangle is 180 degrees.
∠C is the central angle of the arc RS.
∠ T is the inscribed angle of the arc RS.
An inscribed angle is half of a central angle that subtends the same arc on the circle, so the inscribed angle ∠ T is half of the central angle ∠C. Since ∠C = 80 °, we can easily determine the measure of ∠ T:
80° divided by 2 is 40°.
Simplify the integrands by polynomial division.
Now computing the integrals is trivial.
5.
where we use the power rule,
and a substitution to integrate the last term,
8.
using the same approach as above.
Answer:
Worst: That was the worst day of my life.
Confident : I am so confident that I will pass my exams with high grades.
Anxious : She was extremely anxious about her exams.
Bandage : Bandage the foot so that the leg is supported.
Crutches: The man with crutches is my best friend.
Answer:
<u>Step 1: Find the x</u>
2x + 5: Solve
3x + 15: Solve
48 cookies from 2 cups of flour, rate = 48 cookies / 2 cups = 24 cookies / cup
60 cookies from 3 cups of flour, rate = 60 cookies / 3 cups = 20 cookies / cup
If the rates were proportional, the rates would have the same answers.
Therefore the rates are not proportional.
