The vector pq is given by:
pq = q - p = (7.3) - (5.4)
pq = (7-5, 3-4)
pq = (2, -1)
The vector rs is given by:
rs = s - r = (4,1) - (8.6)
rs = (4-8, 1-6)
rs = (-4, -5)
Then, the vector pq + 3rs is given by:
pq + 3rs = (2, -1) + 3 (-4, -5)
pq + 3rs = (2, -1) + (-12, -15)
pq + 3rs = (2-12, -1-15)
pq + 3rs = (-10, -16)
Answer:
The component from the vector pq + 3rs is:
pq + 3rs = (-10, -16)
The proof of the equation (sin²x) / (1-cosx) = (secx+1) / (secx) is given below.
<h3>What is trigonometry?</h3>
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The equation is given below.
(sin²x) / (1-cosx) = (secx+1) / (secx)
Taking the left-hand side, then we have
⇒ [sin²x / (1 - cos x)] × [(1 + cos x) / (1 + cos x)]
⇒ [sin²x (1 + cos x)] / [1 - cos² x)]
⇒ [sin²x (1 + cos x)] / [sin² x)]
⇒ 1 + cos x
⇒ 1 + 1/sec x
⇒ (sec x + 1) / sec x = Right-hand side
More about the trigonometry link is given below.
brainly.com/question/22698523
#SPJ1
2 cups of broccoli florets
Answer:
The relation between the same side interior angles is determined by the same side interior angle theorem. The theorem for the "same side interior angle theorem" states: If a transversal intersects two parallel lines, each pair of same-side interior angles are supplementary (their sum is 180°).
Answer:
![\frac{1}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B15%7D)
Step-by-step explanation:
as said in the question that the triangle has three equal sides. i.e. this is an equilateral triangle. So,
let us consider one side of the triangle to be x . and 3x( x+x+x) should be equal to 1/5
![x+x+x = \frac{1}{5}\\3x=\frac{1}{5}\\x = \frac{1}{5} / 3\\x = \frac{1}{5} * \frac{1}{3}\\x = \frac{1}{15}](https://tex.z-dn.net/?f=x%2Bx%2Bx%20%3D%20%5Cfrac%7B1%7D%7B5%7D%5C%5C3x%3D%5Cfrac%7B1%7D%7B5%7D%5C%5Cx%20%3D%20%5Cfrac%7B1%7D%7B5%7D%20%2F%203%5C%5Cx%20%3D%20%5Cfrac%7B1%7D%7B5%7D%20%2A%20%5Cfrac%7B1%7D%7B3%7D%5C%5Cx%20%3D%20%5Cfrac%7B1%7D%7B15%7D)