I’m here to help.
For this question here you need to use the sine formula for the area of a triangle and figure out the area of the sector
I’ll take you through it step-by-step
Area of the arc:
We only have 68.9 degrees out of 360 and we need to use the formula for the area of a circle.
Formula of a circle = pi x radius squared
68.9/360 x pi x 86.1184= 51.78 (2dp)
Area of triangle:
As you can see we have no height so we must use the sine formula for the area of a triangle.
Formula= 1/2abSinC
You should end up with
0.5 x 9.28x 9.28 x Sin(68.9)= 40.17 (2dp)
Now since you want the area of the segment shaded, just find the difference between these two values.
51.78-40.17 = 11.61
Answer= 11.6cm squared
Hope this helped!
It is the first one because if u gain an amount and lose that same amount you don't gain anything.
25-25=0
Answer:
82.5cm²
Step-by-step explanation:
The volume of a triangular prism is : V = 1/2 * a * c * h
V = 1/2 * 3 * 5 * 11
= 165/2
= 82.5cm²
The value of diameter for the given triangle inscribed in a circle will be 22.
<h3>What is a circle?</h3>
A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circular objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
As per the given triangle inscribed a circle.
The length x +2 and 2x - 7 will be the radius of the circle and the sides of the triangle will be the tangent of the circle.
x + 2 = 2x - 7
2 = 2x - x - 7
x = 9
Thus, radius = 9 + 2 = 11
Diameter = 11 x 2 = 22 units.
Hence "The value of diameter for the given triangle inscribed in a circle will be 22".
To learn more about the circle,
brainly.com/question/266951
#SPJ1
You can find the slope of a line by having two points. In this case we have 5 different point so we pick two.
so for the first one I will pick (2,17) and (7,37)
we use (y2-y1) / (x2-x1) this is rise over run
plug and chug to get slope.
(37-17)/(7-2)= 4
now use point slope using one of the point that we used to find the slope
y−b=m(x−a<span>) or y-y1 = m (x-x1)
plug and chug again
m=4 ............ point (2,17)
y- 17 = 4 (x- 2)
y= 4x +10
hope this helps
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