Give each trig ratio as a fraction in simplest form. First find the measure of the missing side using Pythagorean Theorem a2 + b2 = c2

Give Each Trig Ratio As A Fraction In Simplest Form. First Find The Measure Of The Missing Side Using

Answers

Answer 1

Answer:

see step-by-step for full solution

Step-by-step explanation:

First use Pythagoras' Theorem to calculate the length of the missing leg PQ, where a and b are the legs and c is the hypotenuse of a right angled  triangle.

    a² + b² = c²

⇒ 14² + PQ² = 50²

⇒ 196 + PQ² = 2500

⇒ PQ² = 2500 - 196

⇒ PQ² = 2304

⇒ PQ = √2304 = 48

Therefore, the measure of the missing side PQ is 48.

Now use the 3 basic trigonometry ratios, where O = leg opposite to the angle, A = leg adjacent to the angle, and H = hypotenuse:

[tex]sin(\theta)=\frac{O}{H} \\\\cos(\theta)=\frac{A}{H} \\\\tan(\theta)=\frac{O}{A} \\[/tex]

If angle = Q, then O = 14, A = 48, H =50.  Therefore,

sin(Q) = O/H = 14/50 = 7/25

cos(Q) = A/H = 48/50 = 24/25

tan(Q) = O/A = 14/48 = 7/24

If angle = R, then O = 48, A = 14, H = 50.  Therefore,

sin(R) = O/H = 48/50 = 24/25

cos(R) = A/H = 14/50 = 7/25

tan(R) = O/A = 48/14 = 24/7


Related Questions

A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is 4.2 MB. Yesterday, there were 1390 downloads of the song, for a total download size of 4683 MB. How many downloads of the high-quality version were there?

Answers

Answer:

H=310

Step-by-step explanation:

This problem is a great systems of equations problem--you have two different variables: song size and number of songs.

Let's call the number of standard version downloads (S) and the high quality downloads (H).

You can make two statements:

For number of songs downloaded: S + H = 910

For download size: 2.8(S) + 4.4(H) = 3044.

S will be the same number in both equations and H will be the same number in both equations, so to find S, we can rearrange the first statement to H = 910 - S, then substitute or plug in (910 - S) wherever you see an H in the second equation so that you have only S's in your equation. Should look like this:

2.8(S) + 4.4(910 - S) = 3044

2.8S + 4004 - 4.4S = 3044

-1.6S = -960

s = 600

Your question only asks for the standard version downloads, but to help you out in future Systems situations-

You can also solve for H once you have S by plugging it into either of your equations like this:

600 + H = 910

-600

Hope this helps!

All the workers on a 6-person team work at the same rate. If the entire team can pour a foundation in 48 hours, in how many hours can half the team pour the foundation?

Answers

Answer:

96 hours

Step-by-step explanation:

Because they are expecting half of the team to do the whole foundation, you can double the time to even the equation out. In other equations, you can figure it out another way but this one is very simple!

Originally:

6 people | 48 hours

Now:

3 people | x hours

x=48*2

x=96

This is just my way of solving this, there are many other ways to do this though! :)

Dennis says that 1 1/2,1 2/4, and 1 3/6 are all equivalent. Is he
correct?

Answers

Answer: Yes

Step-by-step explanation:

Most fractions can be simplified into smaller fractions, while some are in it's simplest form. When putting a bit in its simplest form it is much easier to compare to other fractions  

What I did first tried to simplify all the factions, starting with 1 1/2.

After looking at 1 1/2, I can see that it is in its simplest form.

Then looking at 1 2/4 I can see that it can be simplified into 1 1/2.

Lastly looking at 1 3/6 I can see that it can be simplified into 1 1/2.

the first number in a pattern is 12 the pattern follows the rule "divide by 2, and then add 10" complete the table to show the next two numbers in the pattern

Answers

If you divide by two you will break the number you have in half then you will add ten to that number that you got after breaking it in half. So your answers would be first 16 and then 18.

At an appliance store, the price of a refrigerator is marked up 25% to $406.25.

What was the price of the refrigerator before the markup?

Enter your answer.

Answers

Answer:

$325

Step-by-step explanation:

Answer:

$325

Step-by-step explanation:

if the refrigerator has been marked UP by 25%, this means that $406.25 is 125% of the original price (the original price being 100%).

Therefore, divide 406.25 by 125 to find the cost per 1%, then multiply by 100 to find the original price.

(406.25 ÷ 125) x 100 = 325

I NEED HELP PLEASE HELP ME OUT ILL GIVE YOU EXTRA POINTS

Answers

Answer: dont know just search it up

PLEASE HELP
You invested $10,000 in two accounts paying 7% and 8% annual interest, respectively. If the total interest earned for the year was $780, how much was invested at each rate?
The amount invested at 7% is $0

Answers

Using simple interest, it is found that:

The amount invested at 7% is $2,000.The amount invested at 8% is $8,000.

Simple Interest

Simple interest is used when there is a single compounding per time period.

The interest after t years in is modeled by:

[tex]I(t) = Prt[/tex]

In which:

P is the initial amount.r is the interest rate, as a decimal.

In this problem:

A total of $10,000 was invested, hence [tex]P_1 + P_2 = 10000[/tex].Two accounts paying 7% and 8% annual interest, respectively, hence [tex]r_1 = 0.07, r_2 = 0.08[/tex].The total interest earned for the year was $780, hence [tex]t = 1, I_1 + I_2 = 780[/tex]

Then:

[tex]I_1 = 0.07P_1[/tex]

[tex]I_2 = 0.08P_2[/tex]

Considering [tex]P_1 + P_2 = 10000 \rightarrow P_2 = 10000 - P_1[/tex]:

[tex]I_2 = 0.08(10000 - P_1)[/tex]

Considering [tex]I_1 + I_2 = 780 \rightarrow I_2 = 780 - I_1[/tex]:

[tex]780 - I_1 = 0.08(10000 - P_1)[/tex]

Considering [tex]I_1 = 0.07P_1[/tex]:

[tex]780 - I_1 = 0.08(10000 - P_1)[/tex]

[tex]780 - 0.07P_1 = 0.08(10000 - P_1)[/tex]

[tex]0.01P_1 = 20[/tex]

[tex]P_1 = \frac{20}{0.01}[/tex]

[tex]P_1 = 2000[/tex]

And:

[tex]P_1 + P_2 = 10000[/tex]

[tex]2000 + P_2 = 10000[/tex]

[tex]P_2 = 8000[/tex]

Then:

The amount invested at 7% is $2,000.The amount invested at 8% is $8,000.

You can learn more about simple interest at https://brainly.com/question/25296782

thanks for the help!

Answers

Answer:

a

Step-by-step explanation:

- a ^2×a^4 b^-2b^-2/(a^4b^3)

- a^6b^-4/(a^4b^3)

in division the powers get subtracted

so ans is A

3/5 of what number gives you 126

Answers

Answer: 210

Step-by-step explanation: Since we are trying to find what 3/5 of a number gives you 126 You would divide 126 by 3 which equals 42 then you would add 126+42+42=210

5. A student has a goal to read 5,000 pages in books over the summer. After the first three weeks, he has read 1,350 pages. Write an equation that could be used to find the number of pages he has left to read. Use the variable n when writing the equation.​

Answers

Sorry I don’t know the answer


A line has a slope of and includes the points (w, -3) and (5, -2). What is the value of w?
9

Answers

slope = (y2-y1)/(x2-x1)

9 = (5-w)/(-2- -3)

9 = 2-w /1

w= -7

What’s the value of x

Answers

Answer:

x = 2.75

Step-by-step explanation:

using Pythagoreas theorem

a² + b² = c²

3² + 4² = c²

9 + 16 = 25

square root 25 = 5

therefore AB = 5

to find x

5 - AD = x

5 - 2.25 = x

x = 2.75

Find the area of the figure. (Sides meet at right angles.)
NEED ANSWER ASAP
NO DOWNLOAD LINKS OR FILES
WILL RATE 5 STAR/5 HEART

Answers

Answer:

40 yd^2

Step-by-step explanation:

Add the square at the bottom to make one large rectangle. Subtract the square not included from that area to get the figure shown (see attachment).

6÷2(1+2)= _____ whats the answer to this

Answers

Answer:

9

Step-by-step explanation:

You do parenthesis first so 1+2=3

Then you do division 6 divided by 2=3

Then you will multiply 3 by 3 so 9

This is known as pemdas

P=parenthesis

E=exponents

MD=multiplication and division you do it left to right so if division is in front of multiplication then you do division

As=Addition and subtraction is also left to right

Answer:

6÷2(1+2) = 9

Someone help me with geometry

Answers

The formula to find the distance between two points is:

d = √[(x2 − x1)² + (y2− y1)²]

distance between (3,4) and (21,4) = 18 cm

distance between (21,4) and (12,16) = 15 cm

distance between (12,16) and (3,4) = 15 cm

height = point in half of the base and the the top point so its (12,16) and (12,4) and the distance between them = 12

triangle perimeter = is the sum all sides

= 48 cm

Triangle area = 0.5 * base * height

= 0.5 * 12 * 18 = 108 cm²

2 divided by 6 feet 8 inches

Answers

Answer:

0.984251969 m-1

Step-by-step explanation:

I looked it up and this is what I got

Are these polygons similar ? Explain why or why not.

Answers

Answer:

Yes, the polygons are similar.

Step-by-step explanation:

A similar polygon is a polygon that shares the same scale factor as another polygon. A scale factor is a number you can multiply each side by to get a similar figure,


Step 1:

Divide a few of the sides. You do not need to divide every side to find the ratio, but do at least 2 or 3 to guarantee that the scale factor remains the same throughout the sides. Let’s divide a few pairs of sides.

[tex]27/18=1.5[/tex]

[tex]30/20=1.5[/tex]

[tex]21/14=1.5[/tex]

Step 2:

To really be safe, even though we can clearly tell this is a similar figure, is we can multiply each side on the right figure by 1.5, our scale factor, and see if we generate the sides on the left figure.

[tex]18*1.5=27[/tex]

[tex]20*1.5=30[/tex]

[tex]14*1.5=21[/tex]

And this is why the polygons are similar :)

If qs bisects pqt, sqt= (8x-25), pqt-(9x+34) and sqr= 112 find each measure​

Answers

As it is written this question isn't very clear, and I'm not positive that the entire thing can be answered. I don't know where point R is. Is there a picture that goes with this problem? If so, maybe that would make it more clear. What I can do is show you how to solve for x. While I don't believe this is the final answer, I believe it is a step toward the right answer. We know what ray QS bisects angle PQT. If you draw out angle PQT and ray QS you can see that angle PQS is congruent to angle SQT. Because of the definition of angle bisector. This also means that angle SQT is half of PQT. Because of this we know that we can set the measure of PQT equal to 2 times the measure of SQT. So we can set up and solve the following equation as such:

2(8x-25) = 9x +34

16x - 50 = 9x +34

7x -50 = 34

7x = 84

x = 12

Again I this doesn't seem to be your final answer. To find the answer the measures of each angle you're going to want to plug 12 in for x for one of the angles. So I'll do it for angle SQT.

8(12) - 25

96 -25

71

So the measure of angle SQT should be 71. Therefore since QS bisects PQR, the measure of angle PQS should also be 71. The measure of PQT should be double that which makes it 142. I'm not positive that this is all the problem is looking for, but I think that's most of it. Hope this helps!

What is the answer to 4x plus 60

Answers

Answer:

It is not possible to add them together

Step-by-step explanation:

Since you dont know what x is, you cannot add it to 60

A+B=44, 2B-8=A. What isA? What is B? How did you reach those awnsers?

Answers

Answer:

A=  B=17.3

Step-by-step explanation:

First replace A with 2B-8:

2B - 8 + B = 44

Next simplify:

3B - 8 = 44

44+8=3B

52 = 3B

B = 52/3

B= 17.3

Now find A:

2B-8=

2 x 17.3 -8=

34.6 - 8=

26.6

I hope this helps :)

B is twice the value of A + 8.
(44-8) /2= A
A= 18
B= 26

difference between a number line and a number track

Answers

Answer:

What's the difference between a number track and a number line? A number track is a sequence of numbers, each inside its own square. ... Whereas, a number line is where the numbers are attached to markers on a line. This method of addition / subtraction comes later.

BRO PLS I HAVE TO PASS THIS (click for question) 20 POINTS!

Answers

Answer:

D, E.

Step-by-step explanation:

Simplify the expression inside the parentheses:

[tex]3(23 + 18) < 6a[/tex]

[tex]3(41) < 6a[/tex]

Multiply:

[tex]123 < 6a[/tex]

Substitute each value provided for a:

Opt A. 123 < 6(18) = 123 < 108. Incorrect option.

Opt B. 123 < 6(19) = 123 < 114. Incorrect option.

Opt C. 123 < 6(20) = 123 < 120. Incorrect option.

Opt D. 123 < 6(22) = 123 < 132. Correct option.

Opt E. 123 < 6(24) = 123 < 144. Correct option.

What is the sum of 1.57 and 6.88?
7 tenths, 3 hundredths, and 5 thousandths
8 ones, 4 tenths, and 5 hundredths
5 ones, 4 tenths, and 8 hundredths
7 tenths, 4 hundredths, and 5 thousand

Answers

8 ones 4 tenths 5 hundredths

add behind the decimal first. 57+88=145

now add the one to the ones place because if your adding 2-digit numbers you should only have a 2-digit answer.

so now you have 8.45

If rx – st = r, which expression represents r.

Answers

Answer:

[tex]{ \tt{rx - st = r}}[/tex]

» Collect like terms, r terms on the left hand side by subtracting r from both sides and adding st to both sides

[tex]{ \tt{(rx - st) { \green{ - r + st }} = r{ \green{ - r + st}}}} \\ { \tt{rx - r = st}}[/tex]

» On the left hand side, factorise out r

[tex]{ \tt{ \green{r(x - 1)} = st}} \\ \\ { \boxed{ \tt{ \blue{ \: r = \frac{st}{x - 1} }}}}[/tex]

The last word was notion it got cut off

Answers

Answer:

Do the answer yourself.

Step-by-step explanation:

Feel free to ask your teacher or tutor because your parents are paying them the fees. Don't come on this app only for answers.

Which two values of x are roots of the polynomial below?
x2 + 5x + 11

Answers

Heres The Answer. Good Luck

Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their ages is 92. Which equations could be used to find Hannah's age, h if she's is the older sibling

Answers

Answer:

2h-2=92 and h-2=92-h.

Step-by-step explanation:

Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.

The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.

Combining like terms we would have the first correct choice, 2h-2=92.

Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.

Two printers can complete a job in 2 hours. The faster printer can do the job, operating alone, in 4 hours. How long would it take the slower printer, operating alone, to do the job?

Answers

Answer:

Let x equal the amount of time required for the second press to complete the job on its own.

The second press then operates at a rate of 1/x of the job per hour.

The two presses work together at a rate of 1/2 of the job per hour.

And the first press operates at a rate of one-sixth of the job per hour.

As a result, our equation to solve is:

1/6+1/x=1/2 multiply each term by 6x x+6=3x subtract x from each side x-x+6=3x-x group like terms together

2x=6 multiply both sides by 2 x=3 the number of hours required for the second press to finish the job

CK

1/6+1/3=1/2

1/6+2/6=1/2\s3/6=1/2

1/2=1/2\salso\s(1/6)*2=1/3\s(1/3)*2=2/3\s2/3+1/3=1 (Only one job)

1=1

PLEASE HELP WITH THIS MY DEADLINE IS TMW

Answers

Answer:

Left 3, down 3

Step-by-step explanation:

Moves to the left 3 and goes down 3

Just graph that on desmos and then use desmos as a refernece to draw your graph

Left 3
Down 3

Hope this helps

Please help I don’t know what to do I’m panicking

Answers

Answer:

I think its 20 units but I'm unsure

Step-by-step explanation:

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