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2 years ago

Mathematics

1 answer:

Molodets [167]2 years ago

6 0

The answer that I got is C<span />

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It is 60 Celsius on the crust of a volcano. What is this number in Kelvin?

slega [8]

Answer:

333.15 Kelvin (K)

Step-by-step explanation:

When you convert from Celsius to Kelvin, you add 273.15

60 C + 273.15 = 333.15 K

So, that is the answer. Hope this helps!

6 0

3 years ago

Read 2 more answers

What is the solution to the system of equations?

Yuri [45]

Answer:

No solution

Step-by-step explanation:

Note how "2x" shows up in both equations. This suggests doing a substitution to solve the system.

Focus first on the first equation. Solving 2x - y = 7 for 2x, we get:

2x = y + 7.

Next, we substitute y + 7 for 2x in the second equation:

y = (y + 7) + 3.

Simplifying this produces:

0 = 10

This is not true and can never be true. Thus, this system has no solution.

6 0

3 years ago

Read 2 more answers

How do you simplify this expression step by step?

nataly862011 [7]

$\bf \textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{csc(\theta )-sin(\theta )}{cos(\theta )}\implies \cfrac{~~\frac{1}{sin(\theta )}-sin(\theta )~~}{cos(\theta )}\implies \cfrac{~~\frac{1-sin^2(\theta )}{sin(\theta )}~~}{cos(\theta )}$

$\bf \cfrac{1-sin^2(\theta )}{sin(\theta )}\cdot \cfrac{1}{cos(\theta )}\implies \cfrac{\stackrel{cos(\theta )}{\begin{matrix} cos^2(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}} }{sin(\theta )}\cdot \cfrac{1}{\begin{matrix} cos(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\implies \cfrac{cos(\theta )}{sin(\theta )}\implies cot(\theta )$