Answer:
9.2
Step-by-step explanation:
The given triangle is a right angled triangle. To solve for any of the side length of such triangle, apply the trigonometry ratio formula which can easily be remembered as SOHCAHTOA.
SOH is Sin θ = opposite/hypothenuse,
CAH is Cos θ = Adjacent/hypotenuse
TOA is Tan θ = Opposite/adjacent
Thus, in the right triangle given, we have:
θ = 38°
Opposite side to the given angle = x
Hypotenuse = 15
We're going to use, sin θ = opposite/hypotenuse
Sin(38) = x/15
Multiply both sides by 15 to solve for x
15*sin(38) = x
15*0.616 = x
9.24 = x
<em>x ≈ 9.2 (to nearest tenth)</em>
Step-by-step explanation:
you know the area of a rectangle is length × width.
we know length = 10 m.
and we know the area = 60 m².
60 = 10×width
width = 60/10 = 6 m.
the fence is the perimeter, which is for a rectangle
2×length + 2×width
which is logical, as when you fully go around a rectangle, you have to pass the length 2 times and the width 2 times, right ?
length of fence = 2×10 + 2×6 = 20 + 12 = 32 m.
Answer:
<u>It is assumed the question is asking to simplify or factorize:</u>
- (a + b)² - a² + b² =
- a² + 2ab + b² - a² + b² =
- 2b² + 2ab
This is simplified expression.
<u>Factorizing as follows:</u>