The length of each of its parallel side are 30 cm and 40 cm.
<u>Step-by-step explanation</u>:
- Perimeter of parallelogram = 140 cm.
- The one side of parallelogram = x cm.
- The other side of parallelogram = x+10 cm.
Perimeter of a parallelogram = 2 (base+height)
⇒ 140 = 2(x+x+10)
⇒ 140 = 2(2x+10)
⇒ 140 = 4x+20
⇒ 4x = 120
⇒ x = 120/4
x = 30 cm
∴ The longer side = 30+10 = 40 cm
Answer:
$6,400
Step-by-step explanation:
9100-1100
8000
8000×1/5
$1600
8000-1600
$6,400
For 6, you could divide 56 kilometers by 8 kilometers to get 7 kilometers. Multiply 7 by 5 to get 35. There would be 35 miles in 56 kilometers
Answer:
10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Step-by-step explanation:
In this question, we are tasked with writing the product as a sum.
To do this, we shall be using the sum to product formula below;
cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]
From the question, we can say α= 5x and β= 10x
Plugging these values into the equation, we have
10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]
= 5[sin (15x) - sin (-5x)]
We apply odd identity i.e sin(-x) = -sinx
Thus applying same to sin(-5x)
sin(-5x) = -sin(5x)
Thus;
5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]
= 5[sin (15x) + sin (5x)]
Hence, 10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Answer:
I think the fourth one and what is going on with it being upside down lol??????????????
Step-by-step explanation:
lmk if I helped but if I did not I will give ur points back:).
