angles formed by these tosses are
and
degrees to the nearest hundredth.
<u>Step-by-step explanation:</u>
Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.
The Law of Cosines (also called the Cosine Rule) says:

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
The Law of Sines (or Sine Rule) is very useful for solving triangles:

We can now find another angle using the sine rule:
⇒
⇒
⇒
So, the third angle =
Therefore, angles formed by these tosses are
and
degrees to the nearest hundredth.
Answer:
16x=16x+1
0=1
Step-by-step explanation:
4x+12+12x+12+5=16x+30
16x+29=16x+30
16x=16x+1
Answer:
(e) csc x − cot x − ln(1 + cos x) + C
(c) 0
Step-by-step explanation:
(e) ∫ (1 + sin x) / (1 + cos x) dx
Split the integral.
∫ 1 / (1 + cos x) dx + ∫ sin x / (1 + cos x) dx
Multiply top and bottom of first integral by the conjugate, 1 − cos x.
∫ (1 − cos x) / (1 − cos²x) dx + ∫ sin x / (1 + cos x) dx
Pythagorean identity.
∫ (1 − cos x) / (sin²x) dx + ∫ sin x / (1 + cos x) dx
Divide.
∫ (csc²x − cot x csc x) dx + ∫ sin x / (1 + cos x) dx
Integrate.
csc x − cot x − ln(1 + cos x) + C
(c) ∫₋₇⁷ erf(x) dx
= ∫₋₇⁰ erf(x) dx + ∫₀⁷ erf(x) dx
The error function is odd (erf(-x) = -erf(x)), so:
= -∫₀⁷ erf(x) dx + ∫₀⁷ erf(x) dx
= 0
Answer: 25kg
Step-by-step explanation:
18 + 29 = 47
72 - 47 = 25
She got 25kg of bananas.
Area of a triangle = 1/2 x base x height
Area = 1/2 x 8.7 x 8.6
Area = 37.41 square feet