Answer:
The area of the sector (shaded section) is 29.51
.
Step-by-step explanation:
Area of a sector = (θ ÷ 360) 

where θ is the central angle of the sector, and r is the radius of the circle.
From the diagram give, diameter of the circle is 26 m. So that;
r = 
=
= 13 m
θ = 360 - (180 + 160)
= 360 - 340
= 
Thus,
area of the given sector =
x
x 
=
x x
x 169
= 29.5079
The area of the sector (shaded section) is 29.51
.
Answer:
Step-by-step explanation:
1/2 b*h *2
1/2 * 14*24*2= 336
The base l*w
10*14= 140
Sides l*w
25*10*2= 500
500+140+336=976
Answer:

This represents slope intercept form: y = mx + b
Step-by-step explanation:

First let's find the angles a and b.
We have then:
sin a = 4/5
a = Asin (4/5)
a = 53.13 degrees.
cos b = 5/13
b = Acos5 / 13
b = 67.38 degrees.
We now calculate cos (a + b). To do this, we replace the previously found values:
cos ((53.13) + (67.38)) = - 0.507688738
Answer:
-0.507688738
Note: there is another way to solve the problem using trigonometric identities.
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