The area would be 83.67 cm.
A semicircle is half of a circle. The perimeter of the semicircle would be half of the perimeter (circumference) of the entire circle. The formula for circumference is:
C=πd
Using our information, we have
22.92 = 0.5(3.14)d
22.92 = 1.57d
Divide both sides by 1.57:
22.92/1.57 = 1.57d/1.57
14.6≈d
Since the diameter is 14.6, the radius is 14.6/2 = 7.3.
We use the radius for the area of the semicircle:
A=0.5πr²
=0.5(3.14)(7.3)²
=83.67
Answer:
VW = 43.2
Step-by-step explanation:
First, we can see that VZ = 88 - 55 = 33.
Then by the Triangle Proportionality Theorem, we can write that:

Simplify:

Cross-multiply:

So:

Answer:
Length of diagonal of picture = 15.30 inches
Step-by-step explanation:
Given that:
Side lengths of picture frame = 12 inches by 9.5 inches
As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.
Using Pythagorean theorem;
a²+b²=c²
Putting the values in the theorem

Taking square root on both sides

Hence,
Length of diagonal of picture = 15.30 inches
Answer:
23) option c
JL ≈ 9.3
25) option c
y ≈ 9.6
Step-by-step explanation:
<h3>25)</h3>
Given in the question that,
cos(21°) = 9 / y
y = 9/cos(21°)
y = 9.64
y ≈ 9.6(nearest tenth)
<h3>23)</h3>
Given in the question that the hypotenuse of right angle triangle = 12
To find,
height of the right angle triangle
angle k = 39°
so by using trigonometry identity
cos(39) = opp/hypo
cos(39) = JL / KL
JL = cos(39)(12)
JL = 9.32
JL ≈ 9.3
<h3 />
<span>f(x) = x-2/3 and g(x) = 2-3x</span>