Answer:
The correct option is 30.6
Therefore,
Area of Sector is 30.6 units².
Step-by-step explanation:
Given:
Central angle = θ = 142°
Radius = r = 5 units
pi = 3.14
To Find:
Area of Sector = ?
Solution:
If the θ measured in degree then the Area of Sector is given as
Where r = radius, θ = Central angle
On substituting the values we get
Therefore,
Area of Sector is 30.6 units².
To find the value of x, use the vertical angle theorem.
Vertical angles are congruent.
Thus we have:
6x - 10 = 5x + 1
Solve for x.
6x - 10 = 5x + 1
Add 10 to both sides:
6x - 10 + 10 = 5x + 1 + 10
6x = 5x + 11
Subtract 5x from both sides:
6x - 5x = 5x - 5x + 11
x = 11
To find the value of y, use corresponding angles thoerem.
When two parallel lines are crossed by a transversal, the angles in matching corners are correponding angles.
Corresponding angles are congruent.
Thus, we have:
y = 6x - 10
Substitiute x for 11:
y = 6(11) - 10
y = 66 - 10
y = 56°
ANSWER:
x = 11, y = 56°
Answer:
446.75 y^2
Step-by-step explanation:
First, Kelly found the area of a circle, not half a circle, which is on top of the figure. She also shouldn't have subtracted the area of the circle by the airea of the base, as she is trying to find the area of the ENTIRE figure.
.5 TIMES pi times 9^2 = 122.75
the second part, calculating the square base is correct..
122.75+324 = 446.75 y^2
Step-by-step explanation:
angle B=angle E
5x=45
x=9
Answer:
64 I think
Step-by-step explanation:
You know that line DC is also equal to 8 so to find the area of triangle ABD you do 1/2*Base*Height which is 1/2*8*8 that is 32. The same thing goes for triangle CDB, so that is also 32. You add 32 and 32 which becomes 64.