Answer:
The area of the sector is 
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to

we have
----> the radius is half the diameter
substitute


step 2
Find the area of a sector with a central angle of (2pi/3)
Remember that
The area of
subtends a central angle of 
so
by proportion
Let
x----> the area of the sector

Answer:
71.32 feet
Step-by-step explanation:
We set up a trigonometric function to get height of tree
Distance ,x = 35 feet away from tree base
Angle = 62⁰ at eye level
Y = tan(angle) * x
= Y = tan(62⁰) x 35
Y = 1.881 x 35
Y = 65.82 feet
We add Tamara's height to the total height of the tree
= 65.82feet + 5.5 feet
= 71.32 feet is the height of the tree
Answer:
a-
b-
c-
Step-by-step explanation:
a.7 y''-7 y =0
Auxillary equation


D=1,-1
Then , the solution of given differential equation

2.
Y=


Substitute in the given differential equation

Hence,
is not a solution of given differential equation
are also not a solution of given differential equation.
y=


Substitute the values in the differential equation

=
Hence,
is a solution of given differential equation.
c.



Substitute the values in the differential equation

Hence,
is a solution of given differential equation.
a-
b-
c-
Answer:
a
Step-by-step explanation:

This statement is true
Hope this helps!
Answer:
1). 10. 2). 9. 3). 2(square root)14. 4). (square root)6. 5). right triangle. 6). not a right triangle. 7). 13. 8). 3(square root)34. 9). acute. 10). acute. 11). right. 12). obtuse
Step-by-step explanation: