This follows directly from the double angle identity for cosine and the Pythagorean identity:
So we have
If you let x represent the number of free throws.
let y represent the number of two-point field goal.
let z represent the number of three-point shots made.
Then the correct system of linear equations is as follows:
x + 2y + 3z = 29 (The total number of points scored is 29.)
z = 3x - 29 (The number of 3-pointers was 29 less than 3 times the number of free throws.)
2y = z + 15 (Twice the number of 2-point shots made was 15 more than the number of 3-pointers.)
Solution:
This basketball player scored 10 points via free throws (10 at 1 point each), 16 points via 8 two-point shots made, and 3 points via 1 three-point shots made. So, in the choice its letter D.
Given:
The sides of the right triangular base measures 9 cm, 12 cm and 15 cm.
The height of the prism is 20 cm.
To find:
The surface area of a triangular prism.
Solution:
We know that, the area of a triangular prism is
Where, P is the perimeter of the triangular base and h is the height of the prism.
The sides of the right triangular base measures 9 cm, 12 cm and 15 cm. So, the perimeter of the right triangular base is
Now, the area of the triangular prism is
Therefore, the surface area of a triangular prism is 720 square centimetres.
<h3>
Answer:</h3>
For a short time after a wave is created by wind, the height of the wave can be modeled using y = a sin \frac{2\pi t }{T} , where a is the amplitude and T is the period of the wave in seconds.
Write an equation for the given function given the amplitude, period, phase shift, and vertical shift.
<u><em>Add something</em></u>
amplitude: 4, period = 4^{\pi } phase shift = -\frac{4}{3}\pi vertical shift = -2
<h2>
Step-by-step explanation:</h2>
Hope that helps
Answer:
4 cm 2
Step-by-step explanation:
You can solve for A:
A= 1/6 p^2 =1/16 times 8^2 =4cm^2
(^ means exponet)