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3 years ago

In the triangle below, what is the tangent of 45°?

Mathematics

2 answers:

lana [24]3 years ago

7 0

Answer:

C. 1.

Step-by-step explanation:

Tan 45 = opposite / adjacent side

= 1/1

= 1.

Lana71 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

tan45° = $\frac{opposite}{adjacent}$ = $\frac{1}{1}$ = 1

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Guys plss help me I need it rn plss

OLga [1]

Answer:

First statement: Angles 1 and 3 are vertical angles.

First reason: Definition of supplementary

Second Reason: Vertical angles are congruent

Third Reason: Vertical Angles Theorem

Step-by-step explanation:

Hope this helps: Angles that form an X- Type figure are congruent.

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2 years ago

Janet plans to save $22.50 each week until she has enough to buy a $180 bicycle. After how many weeks will she have enough money

Darya [45]

Answer:

Step-by-step explanation:

8weeeks bc 22.50*8=180

4 0

2 years ago

Find the general solution of (x+3)y’=2y

gregori [183]

Answer:

$y=C(x+3)^2$

Step-by-step explanation:

We are given:

$\displaystyle (x+3)y^\prime=2y$

Separation of Variables:

$\displaystyle \frac{1}{y}\frac{dy}{dx}=\frac{2}{x+3}$

So:

$\displaystyle \frac{dy}{y}=\frac{2}{x+3} \, dx$

Integrate:

$\displaystyle \int\frac{dy}{y}=\int\frac{2}{x+3}\, dx$

Integrate:

$\displaystyle \ln|y|=2\ln|x+3|+C$

Raise both sides to e:

$|y|=e^{2\ln|x+3|+C}$

Simplify:

$|y|=(e^{\ln|x+3|})^2\cdot e^C$

So:

$|y|=C|x+3|^2$

Simplify:

$y=\pm C(x+3)^2=C(x+3)^2$

5 0

3 years ago

Write an inequality that would include the point (3,78), (0,312), (5,10) to be part of the solution.

just olya [345]

Answer:

We want to write an inequality with the points (3, 78), (0, 312) and (5, 10) as solutions.

Then the set of the x-values is {0, 3, 5}

The set of the y-values is {10. 78. 312}

So if we wrote an inequality like:

y > 5

It would include all these solutions, because:

10 > 5

78 > 5

312 > 5

And this has no restriction on the x-variable, so all the x-value range can be a solution, meaning that the points (3, 78), (0, 312) and (5, 10) are solutions to that inequality.

Another one (also trivial) can be:

x < 9

because:

3 < 9

0 < 9

5 < 9

And we have no restriction on the y-values, then the points (3, 78), (0, 312) and (5, 10) are solutions to that inequality.

8 0

3 years ago

Explain how to use the inverse operations to solve for x in the equation x^2=4

olchik [2.2K]

Divide 2 and 4 is 2 so 2•2=4

3 0

3 years ago

Read 2 more answers