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Natalka [10]
3 years ago
10

In Exercises 6 and 7, find sin J, sin K, cos J, cos K, tan J and tan K. Write each answer as a fraction and as a decimal rounded

to four places.

Mathematics
2 answers:
____ [38]3 years ago
6 0
Mark Brainliest please

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side.

See the image for Sin J, K & cos j & K & tan J & K

mojhsa [17]3 years ago
5 0

Answer: Refer to the diagram below for the answers

========================================================

Explanation:

The rules I'm using are

  • sin(angle) = opposite/hypotenuse
  • cos(angle) = adjacent/hypotenuse
  • tan(angle) = opposite/adjacent

The opposite side is the leg furthest from the reference angle. For example, if J is the reference angle, then leg LK is the opposite side. The adjacent side would be JL for reference angle J. The opposite and adjacent swap when you swap the reference angle.

The hypotenuse is always the longest side and always opposite the largest angle (always opposite the 90 degree angle).

------------

An example calculation would be:

sin(angle) = opposite/hypotenuse

sin(J) = LK/JL

sin(J) = 30/34

sin(J) = 0.8824

I'm referring to the triangle with sides 16,30,34. The other trig ratios are handled in pretty much the same way (use the rules mentioned above).

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Simplify this expression.<br> 20.25 – 9 + 11<br> о<br> 1<br> 4<br> 0 18.75<br> 0<br> 21?<br> 0 40.75
Greeley [361]

Answer:

21\frac{3}{4}

Step-by-step explanation:

Step 1: Add the numbers.

20.25 can also be expressed as 20\frac{1}{4}, because \frac{2025}{100} = \frac{81}{4} = 20\frac{1}{4}. So if we add 20\frac{1}{4} and 11, we would get 31\frac{1}{4}

Step 2: Solve

31\frac{1}{4} -9\frac{1}{2}

  • Subtract the whole numbers

31-9=21

  • Combine the fractions

This means addition. Also, since our denominators are not the same value, we have to find the LCM (Least Common Denominator): What do 2 and 4 have in common that they can divide themselves by? 4. We know this because 2 divided by 4 is 2, and 4 divided by 4 is 1, so they can both divide themselves by 4.

\frac{5}{4}-\frac{1}{2}

LCM

\frac{5}{4}-\frac{2}{4} =\frac{3}{4}

Therefore, the simplified expression to this is 21\frac{3}{4}.

Learn more: brainly.com/question/403991

8 0
3 years ago
Store A sells a watch for $50 and offers a 5% discount Store B sells the same watch for $60 and offers a 20% discount. From whic
erastova [34]

Answer:

<em>You should buy the watch from Store A because it's cheaper</em>

Step-by-step explanation:

Store A sells a watch for $50 with a 5% discount.

Let's calculate the sale price. The 5% discount is

5/100*$50 = $2.50

The sale price is $50 - $2.50 = $47.50

Now for Store B. The price of the watch was $60 with a 20% discount.

Calculate 20% of $60:

20/100*$60 = $12

The sale price is $60 - $12 = $48

Thus, you should buy the watch from Store A because it's cheaper

6 0
3 years ago
Brainliest for best answer thank for helping
zaharov [31]

Answer:

A

Step-by-step explanation:

Find the slope using rise/run

This gets you -5/4

Find the y intercept, which is at (0, 3)

This means the equation will be:

y = -5/4x + 3

8 0
3 years ago
Fill in the missing numbers to create equivalent ratios.
jasenka [17]

Step-by-step explanation:

The way to find missing numbers in equivalent ratios is to multiply the means (the first denominator and the second numerator) and multiply the extremes (the first numerator and the second denominator). It sounds really complicated, but it is quite simple =)

2/5 = x/10

The means in this equivalent ration are 5 and x. The extremes are 2 and 10.

5x = 20

Now solve =)

x = 4

That was pretty simple. Let's move on to the next one. Do exactly the same thing here:

4/10 = 6/x

60 = 4x

15 = x

That was pretty simple, too! Keep going!

6/15 = x/25

15x = 150

x = 10

All of these should be equal, so check them by dividing:

2/5 = 0.4

4/10 = 0.4

6/15 = 0.4

10/25 = 0.4

They all check out, so these are your answers: 2/5, 4/10, 6/15, 10/25


I really hope this helps you =)

8 0
3 years ago
Read 2 more answers
Gas costs $2.05 per gallon. You go on a trip of 150 miles and your car gets 25 miles per gallon. How much will you spend on gas?
Inessa05 [86]

Answer: 12.30 dollars will be spent

Step-by-step explanation: If you go on a trip of 150 miles and each mile is 25 miles per gallon, I divided 150 miles from 25 = 6. Then each gallon cost $2.05 dollars, if we want to know how much will they spend on gas you have to multiply how much per mile and how much it cost. So 2.05 times 6 = 12.30.

4 0
3 years ago
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