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3 years ago

The output value of a function is also known as the (dependent, independent) variable.

1 answer:

3 0

A function works like this:

You put any number you want into the input, and
the output depends on the number you put it.

That's why the output is the dependent variable.

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I answered it but I just need someone to answer just to make sure mine are right

Artemon [7]

<h2>The missing measures of the angles are:</h2>

$m\angle 1= 60^{\circ}\\\\m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}$

Given:

$m\angle Z = 138^{\circ}$

Note the following:

An equilateral triangle has all its three angles equal to each other. Each angle = $60^{\circ}$ .

This implies that, since $\triangle WXY$ is equilateral, therefore, $m\angle Y = m\angle XWY = m\angle XYW = 60^{\circ}$

Base angles of an isosceles triangle are congruent to each other.

This implies that, since $\triangle WZY$ is isosceles, therefore, $m\angle 3 = \angle 5$

Applying the above stated, let's find the measure of each angle:

Find $m\angle 1$

$m\angle 1 = 60^{\circ}$ (an angle in an equilateral triangle equals 60 degrees)

Find $m\angle 2$

$m\angle 2 = 60 - m \angle 3$

$m\angle 2 = 60 -\frac{1}{2}(180 - 138)$ $(Note: \frac{1}{2}(180 - 138) = 1 $ base $ angle $ of $ \triangle WZY)$

$m\angle 2 = 60 -21\\\\m\angle 2 = 39^{\circ}$

Find $m\angle 3$ and $m\angle 5$ (base angles of isosceles triangle WZY)

$m\angle 3 = \frac{1}{2}(180 - 138) (1 $ base $ angle $ of $ \triangle WZY)$

$m\angle 3 = \frac{1}{2}(42) \\\\m\angle3 = 21^{\circ}$

$m\angle3 = m\angle 5$ (base angles of isosceles triangle are congruent)

Therefore,

$m\angle5 = 21^{\circ}$

Find $m\angle 4$

$m\angle 4 = 60 - m\angle 5$

Substitute

$m\angle 4 = 60 - 21\\\\m\angle 4 = 39^{\circ}$

The missing measures of the angles are:

$m\angle 1= 60^{\circ}\\\\ m\angle 2= 39^{\circ}\\\\m\angle 3= 21^{\circ}\\\\m\angle 4 = 39^{\circ}\\\\m\angle 5 = 21^{\circ}$

Learn more here:

brainly.com/question/2944195

5 0

3 years ago

Divide. −1.12÷ (−0.14) Enter your answer in the box.

Schach [20]

Your answer would be 8 when you do all the calculations

4 0

3 years ago

Use graph to answer the question

Vesna [10]

Answer: $36.86^{\circ}$

Step-by-step explanation:

Given

Coordinates of Point A is $(-3,-4)$ i.e. Point A is 3 units to the left and 4 units below x-axis

From figure, we can write

$\Rightarrow \tan \theta =\dfrac{3}{4}\\\\\Rightarrow \theta=\tan^{-1}\left(\dfrac{3}{4}\right)\\\\\Rightarrow \theta=36.86^{\circ}$

6 0

3 years ago

A box contains 81 coins, only dimes and nickels. The amount of money in the box is $5.30. How many dimes and how many nickels ar

Ksivusya [100]

Answer:

25 dimes
56 nickels

Step-by-step explanation:

Let d represent the number of dimes. Then 81-d is the number of nickels and the total value in cents is ...

10d +5(81-d) = 530

5d +405 = 530 . . . eliminate parentheses

d +81 = 106 . . . . . divide by 5

d = 25 . . . . . . . . . subtract 81; number of dimes

81 -d = 81 -25 = 56 . . . . . number of nickels

There are 25 dimes and 56 nickels in the box.

_____

Comment on the method of solution

It usually works well to let the variable represent the amount of the highest-value contributor (dimes). This keeps the numbers positive as the solution progresses.

5 0

3 years ago

Q log a -3 log b Condense logarithm

Zielflug [23.3K]

Answer:

Step-by-step explanation:

q log a is equivalent to log a^q. Note: This assumes that the base of your logarithmic system is 10.

-3 log b is equivalent to log b^(-3)

and so q log a -3 log b in condensed logarithm form is

log {a^q*b^(-3)}

a^q

or log -----------------

b^3

3 0

3 years ago