Answer: The first number that appears in both sequences is 28.
Step-by-step explanation:
Let's write down numbers from each of the sequences
Sequence 1) We need to start from 7 and multiply 4
7x4=28, 28x4=112
The sequence is 7,28,112...
Sequence 2) We need to start from 8 and add 5
5+8=13, 13+5=18, 18+5=23, 23+5=28
The sequence is 8,13,18,23,28...
They both have 28
Step-by-step explanation:
Distance = Speed x Time
Given Distance = 40km/h or kph
Time = 5 hours 15 minutes
=
Distance Travelled = 40 kph x 5.25 hours
= 210km
Answer:
46x-22
Step-by-step explanation:
5(12x-3)-7(2x+1)
60x-15-14x-7
60x-14x-15-7
46x-15-7
46x-22
<h2>
Answer: <u><em>
$5.00 for 1 day</em></u></h2>
Step-by-step explanation:
Unit price refers to the price of an item in one unit (one), 1 in quantity in particular. $5.00 goes in daily pricing - 1 day. While the others are pricing in multiple units.
Answer:
sin²x = (1 - cos2x)/2 ⇒ proved down
Step-by-step explanation:
∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)
(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)
∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x
∴ - cos2x + cos²x = -cos2x + (1 - sin²x)
∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides
∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x
∴ 1/2(1 - cos2x) = sin²x
∴ sin²x = (1 - cos2x)/2
