The correct answer for the question that is being presented above is this one:
(1)
The triangle shows and equilateral triangle. Equilateral triangle has the same length of sides and angles.
60 = 1.5x
x = 40 degrees
7.1 = y + 3.4
y = 3.7 cm
(2) Isosceles Triangle
65 = 13x
x = 5 degrees
y + 2/3 = 7/8
y = 7/8 - 2/3
y = 21 - 16 / 24
y = 5/24 in
(3)
12 = x + 3.8
x = 8.2mm
Micheal has 40ft of fencing for the rectangular dog run. So the perimeter of the dog run is 40ft.
Perimeter=40ft
The perimeter of a rectangle is:
P=2l+2w
Since we know the length is 5 and the perimeter is 40, we can solve for the width.
P=2l+2w
40=2*(5)+2w
40=10+2w
subtract 10 from both sides
30=2w
divide both sides by 2
15=w
The width of the fence is 15feet.
The answer is the first one
For this case we must simplify the following expression:

We must add similar terms taking into account that:
- Equal signs are added and the same sign is placed.
- Different signs are subtracted and the major sign is placed.

Thus, the simplified expression is:

Answer:

Dy/dx = d/dx 6cosx^2
= 12cosx d/dx cosx
= 12cosx (-sinx)
= -12cosxsinx