Answer: price of the watch before the discount is £23.5825
Step-by-step explanation:
Let x represent the original price of the watch.
Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55. This price includes 15% loyalty discount. The value of the discount is
15/100 × 53.55 = 8.0325
This means that the original cost of both items is
53.55 + 8.0325 = 61.5825
Before the discounts, the trainers were priced at £38. Therefore,
38 + x = 61.5825
x = 61.5825 - 38
x = 23.5825
Answer:
I believe your answer would be C
7 and a half cups.
Step-by-step explanation:
Dvide 60 by 8
Answer:
The area of the new reduced parallelogram after dilation is 8 cm^2
Step-by-step explanation:
Mathematically, the area of a parallelogram = b * h
before dilation, area of the parallelogram = 8 * 4 = 32 cm^2
After dilation by a factor of 1/2, the base of the parallelogram becomes 1/2 * 8 = 4cm while the height becomes 1/2 * 4 = 2cm
Thus, the area of the dilated parallelogram is 4 * 2 = 8 cm^2
Answer:
see explanation
Step-by-step explanation:
If A +B = 45° then tan(A+B) = tan45° = 1
Expanding (1 + tanA)(1 + tanB)
= 1 + tanA + tanB + tanAtanB → (1)
Using the Addition formula for tan(A + B)
tan(A+B) = 
= 1 ← from above
Hence
tanA + tanB = 1 - tanAtanB ( add tanAtanB to both sides )
tanA + tanB + tanAtanB = 1 ( add 1 to both sides )
1 + tanA + tanB + tanAtanB = 2
Then from (1)
(1 + tanA)(1 + tanB) = 2 ⇒ proven
