Answer:68.3 degrees
Step-by-step explanation:
The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows
c^2 = a^2 + b^2 - 2abCos C
Looking at the triangle,
b = 75 miles
a = 80 miles.
Angle ACB = 180 - 42 = 138 degrees. Therefore
c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138
c^2 = 6400 + 5625 - 12000Cos 138
c^2 = 6400 + 5625 - 12000 × -0.7431
c^2 = 12025 + 8917.2
c = √20942.2 = 144.7
To determine A, we will apply sine rule
a/SinA = b/SinB = c/SinC. Therefore,
80/SinA = 144.7/Sin 138
80Sin 138 = 144.7 SinA
SinA = 53.528/144.7 = 0.3699
A = 21.7 degrees
Therefore, theta = 90 - 21.7
= 68.3 degees
The pattern in the first set of numbers is times 3, to find the next number multiply 54 by 3 to get 162.
The pattern in the second set of numbers is plus 4, to find the next number add 4 to 0 to get 4.
The pattern in the last set of numbers timed -3, to find the next number multiply -81 by -3 to get 243.
Answer:
you should follow this step but this is a different one.just follow the step
Step-by-step explanation:
Simplifying 4(5x + -6) = 16 Reorder the terms: 4(-6 + 5x) = 16 (-6 * 4 + 5x * 4) = 16 (-24 + 20x) = 16 Solving -24 + 20x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 20x = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 20x = 16 + 24 20x = 16 + 24 Combine like terms: 16 + 24 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
Volume of a cylinder:
Plug in the numbers.
To get the radius divide the diameter by 2.
= <span>1492.26
The cylinder's volume is 1492.26 ft</span>
³.
You can let x be any real number and calculate 2x+1, so the domain of y=2x + 1 is all real numbers
