Step-by-step explanation:
SinA=1/3=p/h
p=1,h=3,and b=?
Using Pythagoras Theorem,
b=√3^2-1^2
b=√9-1
b=√8=2√2
Now,
CosA=b/h=2√2/3
TanA=p/b=1/2√2
There is no phi in my keypad so I use A angle instead of phi.Adjust it.
The area of the shaded region is
.
Solution:
Given radius = 4 cm
Diameter = 2 × 4 = 8 cm
Let us first find the area of the semi-circle.
Area of the semi-circle = 


Area of the semi-circle =
cm²
Angle in a semi-circle is always 90º.
∠C = 90°
So, ABC is a right angled triangle.
Using Pythagoras theorem, we can find base of the triangle.




cm
Base of the triangle ABC =
cm
Height of the triangle = 4 cm
Area of the triangle ABC = 

Area of the triangle ABC =
cm²
Area of the shaded region
= Area of the semi-circle – Area of the triangle ABC
= 
= 
Hence the area of the shaded region is
.
Answer:
2. Weather forecasts are difficult to trust
Step-by-step explanation:
Words like thus are preliminar to a conclusion, that is, we use words like thus when we are going to conclude something.
For Example:
The New Englard Patriots have won 6 Super Bowls. Thus, the New England Patriots are a good NFL franchise.
The conclusion is that the Patriots are a good NFL franchise.
In this problem, we have that:
Thus, it is difficult to trust weather forecasts.
The conclusion is:
2. Weather forecasts are difficult to trust
Very simple
? – (20 – 4x – 5x2) = 20 – 7x2, so ? = 20 – 7x2 <span>+ (20 – 4x – 5x2)
</span>? = 20 – 7x2 <span>+ (20 – 4x – 5x2)=20-7x²+20-4x-5x²=40-12x²-4x
</span>the answer is <span>C. 40-4x-12x^2</span>