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2 years ago

In this right triangle LMN L and M are complentary angles and sin (L) is 19\20 what is cos (M)

Mathematics

2 answers:

Mkey [24]2 years ago

6 0

Answer:

19/20

Step-by-step explanation:

Zolol [24]2 years ago

5 0

In any right triangle ABC, with right angle A we have the following:

$\sin(\angle B)=\cos(\angle C)$

and

$\sin(\angle C)=\cos(\angle B)$ .

This means that the sine of a non 90° angle, is equal to the cosine of its complementary angle.

Thus, $\displaystyle{ \cos(\angle M)=\sin (\angle L)= \frac{19}{20}$ .

(Take a look at the picture. From the definition of trigonometric ratios in right triangles we have :
$\displaystyle { \sin(\angle L)= \frac{opposite \ side}{hypotenuse} = \frac{19}{20}.$
and
$\displaystyle { \cos(\angle M)= \frac{adjacent \ side}{hypotenuse} = \frac{19}{20}.$ )

Answer: 19/20

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Follow this link to view Jamie’s work. Critique Jamie’s work by explaining the reasonableness of the scenario and the accuracy o

Stella [2.4K]

Answer:

See below

Step-by-step explanation:

This graph could describe a relay race.

Jamie writes a scenario that can be modeled by the piecewise function on the graph.

The graph has time, in minutes on the x-axis and the distance, in miles on the y-axis.

The first part of the graph is the line starting from the origin through to the point (12, 1) then the second part starts from the point (12, 1) and ends on the point (20, 2).

1. A runner begins the race and runs at a steady pace for 1 minute.

This is incorrect as describes the wrong axis.

It should say: a runner begins a race and runs at a steady pace for 12 minutes, completing 1 mile distance.

<u>The equation for this part:</u>

y = mx + b
b = 0 as it starts at origin.
m = 1/12
y = 1/12x
x = [0, 12], y = [0, 1]

2. His partner then takes over and runs at a steady, but faster, pace for another 1 minute.

Again, as above, wrong axis is described.

It should say: his partner then takes over and runs at a steady, but faster, pace for another 8 minutes, completing the last 1 mile of the race.

<u>The equation for this part:</u>

b =1, as a starting point
m = (2-1)/(20-12) = 1/8
y = 1/8x + 1
x = (12, 20], y = (1, 2]

7 0

2 years ago

HURRY! Which table represents a linear function?

jeka94

Remember that to tell if a function is linear for a table, you should look for a constant rate of change, and the only function that has a constant rate of change is the first one. $x$ is increasing by 1, and $y$ is increasing by 0.5.

Now that we know that, lets find the equation of our table.
First, lets take tow points from our table: (1, $\frac{1}{2}$ ) and $(2,1)$ .
Next, use the slope formula: $m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }$
We know for our points that $y_{2}=1$ , $y_{1}= \frac{1}{2}$ , $x_{2}=2$ , and $x_{1}=1$ , so lets replace those point in our formula to find $m$ :
$m= \frac{1- \frac{1}{2} }{2-1}$
$m= \frac{1}{2}$

Finally, we can use the point slope formula $y-y_{1}=m(x-x_{1})$ to find our equation:
$y- \frac{1}{2} = \frac{1}{2} (x-1)$
$y- \frac{1}{2} = \frac{1}{2} x- \frac{1}{2}$
$y= \frac{1}{2}x$

We can conclude that the first table represents a linear function, and its equation is $y= \frac{1}{2}x$

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2 years ago

You have filed your taxes more than 60 days late which means you are subject to a penalty of $135 or 100% of your unpaid tax, wh

forsale [732]

Answer: $135

Step-by-step explanation: 48% of $355 would be 170 so therefore the $135 would be the cheaper penalty

3 0

2 years ago

Read 2 more answers

Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smalle

konstantin123 [22]

Answer:

Smallest number = 3500

Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

Thus, the smallest number Yuri could be thinking of is 3500

6 0

2 years ago

Can someone help me with this

Anvisha [2.4K]

Answer:

D. $\frac{{7}^{11} }{ {4}^{11} }$