I've posted this already but no one is answering so i'm posting for more points.

By the law of sines,

We get one solution by taking the inverse sine:

In this case there is no other solution!

To check: suppose there was. The other solution is obtained by recalling that for all , so that

But remember that the angles in any triangle must sum to 180 degrees in measure. This second "solution" violates this rule, since two of the known angles exceed 180: 75 + 141 = 216 > 180. So you're done.

This triangle is not a right triangle. How do we solve this then? You will use the law of sine with is shown below:

What we know is shown in the image attached below:

Plug what you know into the law of sine

To solve for sinB cross multiply

sin75*33.7 = sinB * 51.2

32.55 = sinB*51.2

Divide 51.2 to both sides to isolate sinB

32.55 / 51.2 = sinB / 51.2

0.63577 = sinB

To find B you must use arcsin:

39.477

^^^This is your rough estimate but you can simply keep it to 39 degrees

This means that your answer is correct!

Hope this helped!

1. is 4 and 2. is 3

step-by-step explanation:

so if you look at the first one you see that 1 is to 4 and 2 is to 8 and so on, so you can see for every 1 there is a times 4 so if it were 3 then it would be 3*4 and it is 12

for number 2 it is 3 because 1 is to 3 and 2 is to 6 so for every 1 there is 3 so if it were 3 then there would be 3*3 = 9

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: