Algebra 1 ) U. Checkpoint: Systems of equations and inequalities LOW

Elis [28]

Hi there!

Tangent is a trigonometry ratio, and it is the value of the side opposite the angle over the side adjacent to the angle.

The side that is opposite angle B is side CA which is equal to 2.
The side that is adjacent to angle B is side CB which is equal to 1.

Therefore, the tangent ratio for angle B is 2/1.
(The adjacent side cannot be side BA because it is the hypotenuse.)

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

5 0

2 years ago

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You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

aliya0001 [1]

Answer:

$q = -6p + 104$

Step-by-step explanation:

Linear function:

A linear function has the following format:

$q = mp + b$

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: $m = \frac{-36}{6} = -6$

So

$q = -6p + b$

Finding b:

We replace one of the points. Replacing (4,80).

$q = -6p + b$

$80 = -6*4 + b$

$b = 104$

So

$q = -6p + 104$

7 0

2 years ago

At Brighton Middle School, Mr. Yule asked 50 randomly selected students from each grade level about their favorite subject, and

Ugo [173]

Answer:

Yes, he made a reasonable inference by saying about 25 percent of students choose the science.

Step-by-step explanation:

Given that

Number of students for survey = 50

Number of students who choose science = 12

Now

Percentage of student who choose science = $\frac{12}{50} x 100$

Percentage of student who choose science = $\frac{12*100}{50}$

Percentage of student who choose science = 24 %

Now as Mr. Yule said "about 25" percent of students choose the science it can be treated as reasonable approximation.

Now if the number of students in survey become 200, then we can expect 12 out of every 50 students would choose the science. So, in total 48 students would choose the science.

Now lets calculate the percentage of students who choose science.

Percentage of student who choose science = $\frac{48}{200} x 100$

Percentage of student who choose science = $\frac{48*100}{200}$

Percentage of student who choose science = 24 %

7 0

2 years ago

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In circle O, what is m∠MAJ?

ira [324]

we know that

The measure of the interior angle is the half-sum of the arcs comprising it and its opposite.

so

Find the measure of the angle LAM

m∠LAM is equal to

$\frac{1}{2}*[arc\ KJ+arc\ LM]= \frac{1}{2}*[170+80]\\\\=125\ degrees$

Find the measure of the angle MAJ

we know that

m∠LAM+m∠MAJ= $180$ ° ------> by supplementary angles

m∠MAJ= $(180-125)$

m∠MAJ= $55$ °

therefore

the answer is

The measure of the angle MAJ is $55\ degrees$

6 0

2 years ago

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Help please !!!! It’s geometry

qaws [65]

The answer is true because if you multiply 3•(3) is will give you 9 and if you multiply 10•(3) it will give you 30 which gives you both of the sides for the larger one

7 0

2 years ago