Answer:
Nicki will have to walk 13 dogs to get the same amount of money as Meghan
Pls mark me brainliest.
We have proven that the trigonometric identity [(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] equals 1 + (secθ * cosec θ)
<h3>How to solve Trigonometric Identities?</h3>
We want to prove the trigonometric identity;
[(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] = 1 + sec θ
The left hand side can be expressed as;
[(tan θ)/(1 - (1/tan θ)] + [(1/tan θ)/(1 - tan θ)]
⇒ [tan²θ/(tanθ - 1)] - [1/(tan θ(tanθ - 1)]
Taking the LCM and multiplying gives;
(tan³θ - 1)/(tanθ(tanθ - 1))
This can also be expressed as;
(tan³θ - 1³)/(tanθ(tanθ - 1))
By expansion of algebra this gives;
[(tanθ - 1)(tan²θ + tanθ.1 + 1²)]/[tanθ(tanθ(tanθ - 1))]
Solving Further gives;
(sec²θ + tanθ)/tanθ
⇒ sec²θ * cotθ + 1
⇒ (1/cos²θ * cos θ/sin θ) + 1
⇒ (1/cos θ * 1/sin θ) + 1
⇒ 1 + (secθ * cosec θ)
Read more about Trigonometric Identities at; brainly.com/question/7331447
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Answer:
She shaded area?
12 x 10 = 120
6 x 7 = 42
42 divided by 2 = 21
Now we subtract both areas:
120 - 21 = 99 of the shaded region.
Okay, so in order to find how much she earns per hour you'll take the salary she earns each week ($198.60) and divide that to how many hours she works every week (15 hours). It'll look like: 198.60 / 15= $13.24 per hour.
Answer:
2√5
Step-by-step explanation:
The formula for the distance between a point (x, y) and a line in general form, ax +by +c = 0 is ...
The general form of your equation for the line is ...
2x +y -6 = 0
so the distance to point (x, y) = (4, 8) is ...
The distance between the point and line is 2√5.
