Step-by-step explanation:
Consider LHS

Apply quotient identies

Multiply the fraction and sine.

Make cos x a fraction with cos x as it denominator.

so

Pythagorean Identity tells us sin squared and cos squared equals 1 so

Apply reciprocal identity.

Answer: masses are 825 g and 1125 g
Step-by-step explanation: masses of hamsters are x and x+ 300 g.
Total mass is x+(x+300) = 1950
2x = 1650 g and x= 825
Answer:
The volume of hemisphere is <u>19.4 cubic meter</u>.
Step-by-step explanation:
Given:
A hemisphere is with a radius of 2.1 m.
Now, to find the hemisphere volume with radius 2.1 m.

So, we put formula to get the volume of hemisphere:

<u><em>Hence, the rounded to the nearest tenth of a cubic meter is 19.4 cubic meter.</em></u>
Therefore, the volume of hemisphere is 19.4 cubic meter.
Answer:

Step-by-step explanation:
Let b be the number of balloons and h be number of party hats.
We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.
We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.
Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:

Therefore, the equation
represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.
Answer:
37/3
Step-by-step explanation: