7 7/8= 63/8
3 1/4= 13/4
63/8 -13/4 we bring to the same denominator
(63-26)/8= 37/8
Answer:
<u>Identities used:</u>
- <em>1/cosθ = secθ</em>
- <em>1/sinθ = cosecθ</em>
- <em>sinθ/cosθ = tanθ</em>
- <em>cosθ/sinθ = cotθ</em>
- <em>sin²θ + cos²θ = 1</em>
<h3>Question 1 </h3>
- (1 - sinθ)/(1 + sinθ) =
- (1 - sinθ)(1 - sinθ) / (1 - sinθ)(1 + sinθ) =
- (1 - sinθ)² / (1 - sin²θ) =
- (1 - sinθ)² / cos²θ
<u>Square root of it is:</u>
- (1 - sinθ)/ cosθ =
- 1/cosθ - sinθ / cosθ =
- secθ - tanθ
<h3>Question 2 </h3>
<u>The first part without root:</u>
- (1 + cosθ) / (1 - cosθ) =
- (1 + cosθ)(1 + cosθ) / (1 - cosθ)(1 + cosθ)
- (1 + cosθ)² / (1 - cos²θ) =
- (1 + cosθ)² / sin²θ
<u>Its square root is:</u>
- (1 + cosθ) / sinθ =
- 1/sinθ + cosθ/sinθ =
- cosecθ + cotθ
<u>The second part without root:</u>
- (1 - cosθ) / (1 + cosθ) =
- (1 - cosθ)²/ (1 + cosθ)(1 - cosθ) =
- (1 - cosθ)²/ (1 - cos²θ) =
- (1 - cosθ)²/sin²θ
<u>Its square root is:</u>
- (1 - cosθ) / sinθ =
- 1/sinθ - cosθ / sinθ =
- cosecθ - cotθ
<u>Sum of the results:</u>
- cosecθ + cotθ + cosecθ - cotθ =
- 2cosecθ
Answer:
P = 4/7
Step-by-step explanation:
There are 5 cards with a picture of a rose and 3 cards with a picture of a daisy.
Then we have a total of 8 cards.
Now Alia turns over one card, and this card has a picture of a rose, then she removes it.
This means that now there are 4 cards with a picture of a rose and 3 cards with a picture of a daisy, so now we have a total of 7 cards.
We want to find the probability that the next turned card has also a rose on it.
This will be equal to the quotient between the number of cards with a rose on it (4 cards) and the total number of cards (7)
Then the probability is:
P = 4/7
Answer:
ANSWER :
285.12
discount amount =45/00 x 480=45 x 48/10
=216.0
price of discount =480-216=264
salex tex 8/100 x 264. =21.12
total many of spend 264+21.12=285.12
2,180,000 80,000 being rounded up from 78,421
