<u>Given</u>:
Given that the radius of the semicircle is 4 units.
We need to determine the area of the semicircle.
<u>Area of the semicircle:</u>
The area of the semicircle can be determined using the formula,

Substituting π = 3.14 and r = 4, we get;

Simplifying, we get;

Multiplying, we get;

Dividing, we get;

Thus, the area of the semicircle is 25.12 square units.
Answer:
arcBC = 140degrees
Step-by-step explanation:
From the given digaram;
Angle at the center is twice angle at the circumference
Hence;
m<CAB = 2(m<CDB)
m<CAB = 2 * 35
m<CAB = 70degrees
Also;
m<CAB = 1/2 arcBC
70 = 1/2arcBC
arcBC = 70*2
arcBC = 140degrees
4x + 2x = < y
This is because the opposite sides (which is 4x and 2x) of a triangle add up to the exterior angle (<y).
We have to find X.
As you know:

because the angles of a triangle add up to 180.
When we add them:


The 9 is multiplying with the X. We want X only and not 9 with it. So, when we take 9 to the other side, it becomes divide. As a result, the answer to x is:-

Substitute value of x into 4x and 2x to find the exterior angle:-
4x:

2x:

When we add them we get the answer for angle Y:-

Therefore, we can conclude that:

If you divide 4 by 14 you get 0.29 and if you convert it to a fraction you get 29/100
Answer:
2.17
Answer and Explanation:
The critical value of z for 97% confidence interval is 2.17, which is obtained by using a z score table, that is: {eq}P(-2.17 < Z <...