Answer 60.375
Explanation
All you do is multiply 7.5 by 8.05 which gets you 60.375
Differentiate the given solution:

Substitute
and
into the ODE:

and it's easy to see the left side indeed reduces to 0.
Answer:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° = 
cos(50)° = 
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° = 
sin(23)° = 
a = 15sin(23)°
a = 5.86
Answer:
Step-by-step explanation:
This is a right triangle problem. The reference angle is x, the side opposite the reference angle is 32, and the hypotenuse is 58. The trig ratio that relates the side opposite a reference angle to the hypotenuse is the sin. Filling in accordingly:

Because you are looking for a missing angle, you will use your 2nd button and then the sin button to see on your display:

Within the parenthesis enter the 32/58 and you'll get your angle measure. Make sure your calculator is in degree mode, not radian mode!!!
7. (4,5) 8. (5,-3) hope that helps