Match the tan R, cos R and sin R to the correct ratios

Match The Tan R, Cos R And Sin R To The Correct Ratios

Answers

Answer 1
Trig ratios can be remembered with the phrase SOH CAH TOA.
Sine: Opposite/Hypotenuse.
Cosine: Adjacent/Hypotenuse
Tangent: Opposite/Adjacent.

In this triangle, the adjacent side to angle R (the side touching the angle) is 12 cm, the opposite side (the side farthest away) is 5 cm, and the hypotenuse (the longest side) is 13 cm.

So, filling in the measurements with the correct SOH CAH TOA ratios results in:
tan R = 5/12
cos R = 12/13
sin R = 5/13

Related Questions

The median of the data shown on the graph is

Answers

Answer:

Median 39,000

Step-by-step explanation:

If im lookng at this right the numbers are:

20,000, 25,000, 35,000, 39,000, 41,000, 48,000, 53,000

The middle number is:

20,000, 25,000, 35,000, 39,000, 41,000, 48,000, 53,000

Tell me if im wrong

Clint is interested in making an offer on a house with hardwood floors that will need to be replaced. The hallway is 18 feet by 6 feet. The kitchen is 20 feet by 30 feet. The living room is 25 feet by 45 feet. There are two bedrooms, which measure 12 feet by 16 feet each, plus a master bedroom that is 14 feet by 20 feet. If the cost of the flooring is $5.48 per square foot, and the cost of installation is $1.49 per square foot, how much can Clint plan to spend to replace the floors

Answers

The amount of money Clint will plan to spend to replace the floors is $17404.09

How to find the cost to replace the floor?

The hardwood floor is rectangular.

Therefore,

area of hallway = 18 × 6 = 108 ft²

area of the kitchen = 20 × 30 = 600 ft²

area of the living room = 25 × 45 = 1125 ft²

area of each bedroom = 12 × 16 = 192 ft²

area of master bedroom = 14 × 20 = 280 ft²

Hence,

cost of flooring per square foot is $5.48

total cost for flooring = 108(5.48) + 600(5.48) + 1125(5.48) + 192(5.48) + 192(5.48) + 280(5.48) = $13683.56

Cost of installation is $1.49 per square.

total cost of installation = 108(1.49) + 600(1.49) + 1125(1.49) + 192(1.49) + 192(1.49) + 280(1.49) = $3720.53

Total  amount to replace the floor = 13683.56 + 3720.53 = $17404.09

Learn more about cost at: brainly.com/question/21394250

#SPJ4

If 5^3b-1=5^b-3, what is the value of b?

Answers

Answer: -1

Step-by-step explanation:

[tex]5^{3b-1}=5^{b-3}\\\\3b-1=b-3\\\\2b-1=-3\\\\2b=-2\\\\b=\boxed{-1}[/tex]

what are the ways to determine if a relation is a function? select EACH correct answer

Answers

Answer:

the two selected are correct.

Step-by-step explanation:

A relation is a function only if it relates each element in its domain to only one element in the range. When you graph a function, a vertical line will intersect it at only one point. You can determine whether each element of the domain is paired with exactly one element of the range. For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function. The best way to find out whether an equation represents a function or not is by graphing the equation and then applying the vertical line test. Graph the two-variable equation on graph paper. For a straight line this means graphing two or more points on the line and connecting the dots.

Suppose a bag contains 5 blocks. 3 red, 1 yellow and 1 green. what is the probability of selecting a red block?

Answers

answer is 3/5

since there are 3 red, there is a 3 blocks out of 5 blocks chance that a red block will chosen

Find the area of the shaded region, leave in terms of pi

Answers

Answer:

Answer:16π

Step-by-step explanation:

As we know,

Area of cicle=πr^2

=π(4)^2

=16π

What are the x-intercepts of the following graph?
1
2 3 4
+
3
G
3
&
a. (0, 2) and (0, -2)
b. (0,4)
c. (2,0) and (-2, 0)
d. (1, 0) and (3, 0)

Answers

Answer:

c (2,0) and (-2,0) I hope ot helps

triangle ABC has perimeter 22cm
AB=8cm
BC=5cm
by calculation deduce whether triangle ABC is a right-angled triangle

Answers

Answer:

the triangle is not right-angled

Step-by-step explanation:

First of all, we are told that the perimeter of the triangle is 22 and the two sides are given, 8cm and 5cm respectively. This means that the third side is: 22-(8+5) = 9cm

From this as see that 9cm is the highest length we have and if it were a right-angled triangle, this could be the hypotenuse. Now, to be sure of the initial response we use the Pythagoras theorem. We know that the hypotenuse² = adjacent² + opposite²

let's use the measurements we are given in the question

8²+5²=AC²

64+25=89

AC=√89

AC=9.433981132

AC =9.43cm

and when we add 8+5+9.43 to calculate the perimeter we get 22.43 which is not the initial perimeter, this the triangle isn't right-angled

Expand the expression to yield a trinomial of the form
ax² + bx + c.

(2x + 3)²

Answers

Step-by-step explanation:

(2x + 3)(2x + 3)

4x² + 6x + 6x + 9

4x² + 12x + 9

Make x the subject of the formula. y=(x-4)2+6 p.s the two is square

Answers

[tex]~~~~~~~~y = (x-4)^2 +6\\\\\implies (x-4)^2 = y-6 \\\\\implies x -4 = \pm\sqrt{y-6}\\\\\implies x = \pm\sqrt{y-6} +4[/tex]

A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 8% margin of error at a 99% confidence level, what size of sample is needed

Answers

The required sample size is equal to 273.

We have given that,

A political candidate has asked you to conduct a poll to determine what percentage of people support her.

We have to determine the If the candidate only wants an 8% margin of error at a 99% confidence level,

p=0.5 (default since no value is given)

q=1-0.5=0.5

margin of error=5%=0.05

z_c=1.65 at 90% confidence.

What is the formula for marginal error?

The margin of error:

[tex]e= sqrt(p(1-p)/n)*z_c[/tex]

Use the given value in the above formula we get,

0.05=sqrt(0.5*0.5/n)*1.65

n= (0.5*1.65/0.05)^2=272.25

Therefore, The required sample size is equal to 273.

To learn more about the sample size visit:

https://brainly.com/question/14470673

#SPJ1

If 8^y = 16^y+w, what is the value of Y?

Answers

here is the answer with work shown !!

(4-x)/(x^2-5x+4)+(2)/(x-1)=1

show all steps please!!

Answers

Answer:

[tex]x = 2, 4[/tex]

Step-by-step explanation:

Given :

[tex]\frac{4-x}{x^{2} -5x+4} + \frac{2}{x-1} =1[/tex]

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

Factorize the denominator of the first term :

⇒ x² - 5x + 4

⇒ x² - x - 4x + 4

⇒ x(x - 1) - 4(x - 1)

⇒ (x - 4)(x - 1)

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

Hence, the equation now is :

[tex]\frac{4-x}{(x-1)(x-4)} + \frac{2}{x-1} =1[/tex]

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

Multiply the second term by (x - 4) in the numerator and denominator :

[tex]\frac{4-x}{(x-1)(x-4)} + \frac{2(x-4)}{x-1(x-4)} =1[/tex]

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

Combine the numerator of both terms and bring the denominator to the other side :

[tex]\frac{4-x+2(x-4)}{(x-1)(x-4)} = 1[/tex]

[tex]4 - x+2x-8 = x^{2} - 5x + 4[/tex]

[tex]x - 4 = x^{2} - 5x + 4[/tex]

[tex]x^{2} -5x-x+4+4=0[/tex]

[tex]x^{2} -6x+8=0[/tex]

[tex](x-4)(x-2)=0[/tex]

[tex]x = 2, 4[/tex]

A drawer contains 5 white shirts, 3 yellow shirts, and 4 black shirts. a shirt is randomly selected from the drawer and set aside. then another shirt is randomly selected from the drawer. what is the probability that the first shirt is yellow and the second shirt is black?

Answers

[tex]|\Omega|=12\cdot11=132\\|A|=3\cdot4=12\\\\P(A)=\dfrac{12}{132}=\dfrac{1}{11}\approx9.1\%[/tex]


Select the best answer to the problem.

Which of the following has the numbers in the right order?
A. 2, 5, 9, 7
B. 3, 5, 9, 12
C. 5, 8, 6, 10
D. 6, 9, 14, 12

Answers

The answer is B ok sir

What is the completely factored form of f(x)=x3+5x2+16x+80 ?

Answers

Answer:

The complete factored form of the given [tex]f(x)[/tex] is [tex](x+5)(x^2+16)[/tex].

Step-by-step explanation:

Answer:

f(x)=x*3+5x+2+16x+80 y=x*3+5x*2+16x+80 x=y*3+5y*2+16y+80=8 3y+10y+16y+80=x29y+80=x29y=x-80y=1/29x-80/29 f(x)-1=1/29x-80/29

Find the value of y in 4y + 2x = 8 and 2x + 5y = 14.

Answers

Answer:

y = 6

Step-by-step explanation:

4y + 2x = 8 → (1)

5y + 2x = 14 → (2)

subtracting (1) from (2) term by term will eliminate x

y + 0 = 6

y = 6

Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. find the remainder of (h4 h2 – 2) ÷ (h 3). the remainder is .

Answers

The remainder of (h4 h2 – 2) ÷ (h 3). The remainder is 88.

Remainder

Given:

(h⁴ + h² – 2) ÷ (h + 3)

Using reminder theorem

First step is to equate:

h + 3 =0

h = - 3

Second step is to determine the remainder

Substitute h = - 3 into (h⁴ + h² – 2)

Hence:

h⁴ + h² – 2 = (-3)⁴ + (-3)² - 2

h⁴ + h² – 2= 81 + 9 - 2

h⁴ + h² – 2=90-2

h⁴ + h² – 2= 88 remainder

Therefore the remainder is 88.

Learn more about remainder here:https://brainly.com/question/12326159

#SPJ1

wright the follwing in decimlal form:7/17

Answers

Answer:

0.41

Step-by-step explanation:

to make a fraction into a decimal you just divide the numerator by the

denominator.

and the numerator is the part of a fraction that is above the line

denominator is at the bottom

so 7 / 17 = 0.41 that means

7/17 in decimal form is 0.41

Hope This Helped

Answer:

7/17 is equal to 41176470588...

Step-by-step explanation:

This is called a never ending decimal. Hope this helps! :)


Which expression is equivalent to 3(8 + 7)?

Answers

Answer:

3 • 15

Step-by-step explanation:

Add 8 and 7 to factor out the equation, creating an equivalent expression.

HURRY I NEED IT FAST
15 POINTS

Solve: 3(4-2x)= -x+1 A.x=11/5 B.x=13/5 C.x=-11/7 D. x = 11

Answers

Answer:

A) x = [tex]\frac{11}{5}[/tex]

Step-by-step explanation:

3(4 - 2x) = -x + 1

Distribute on the left:

12 - 6x = -x + 1

    + x     + x

12 - 5x = 1

- 12       - 12

-5x = -11

Divide both sides by -5 to get x on its own:

x = [tex]\frac{-11}{-5}[/tex]

OR

x = [tex]\frac{11}{5}[/tex]

Have a nice day!

i dont now this question

Answers

Answer:

x = 1

Step-by-step explanation:

3x + 2 = (2x + 13)/3

9x + 6 = 2x + 13

9x - 2x = 13 - 6

7x = 7

x = 7 : 7

x = 1

can someone help me find the answer for this?

Answers

Answer for number 1: d and w, or C.

Step-by-step explanation:

because the corner of d and w both are corners of an angle, obtuse. obtuse angles look like this = \_ or _/.  the d and w are in those corners

Are the equations 18=3x-6+x and 18=4x-6 equivalent?​

Answers

Answer:

Yes, they are equivalent

Step-by-step explanation:

18 = 3x - 6 + x

+6 +6

24 = 3x + x

24 = 4x

24/4 = 4x/4

6 = x

18 = 4x - 6

+6 +6

24 = 4x

24/4 = 4x/4

6 = x

Both equations are equal to x = 6, therefore they are equivalent

Answer:

Yes

Step-by-step explanation:

18 = 3x - 6 + x

x = 1x

Combine like terms

3x + 1x = 4x

18 = 4x - 6 and 18 = 4x - 6

They are equivalent.

Quincy's retirement party will cost $30 if he invites 10 guests. If there are 16 guests, how much will Quincy's retirement party cost? Solve using unit rates.

Answers

Answer:

$48

30/10 is equal to 3/1, 16 x 3 equals to 48.

Answer:$48

Step-by-step explanation:

$30/10p = $3 per person

3x6=18

18+30=48

Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. find z when x = 36 and y = 6. first, what is the equation of variation? y =

Answers

The value of z if x = 36 and y = 6 is 42

Direct and inverse variation

Suppose that y varies directly with x and inversely with z, hence the required expression will be:

y = kx/z

If  y = 4 when x = 8 and z = 14 then;

4 = k(8)/14

8k = 56

k = 7

To  find z when x = 36 and y = 6, we  will have:

6 = 7(36)/z
1 = 7(6)/z

z = 42

Hence the value of z if x = 36 and y = 6 is 42

Learn more on variation here: https://brainly.com/question/6499629

#SPJ1

Answer:

Keep it simple. Answer:

y=kx/z

  k=7

 z=42

Step-by-step explanation:

Can the sides of a triangle have lengths 13, 5, and 16?

Answers

Answer:

Yes

Step-by-step explanation:

13 + 5 > 16
16 - 3 < 5
Yes :D

Can someone please help me with my Question #29 of The Quadratic Relations for me please?

Answers

Answer:

Calculate the first differences between the y-values:

[tex]\sf 3 \underset{+1}{\longrightarrow} 4 \underset{+3}{\longrightarrow} 7 \underset{+5}{\longrightarrow} 12 \underset{+7}{\longrightarrow} 19[/tex]

As the first differences are not the same, we need to calculate the second differences:

[tex]\sf 1 \underset{+2}{\longrightarrow} 3 \underset{+2}{\longrightarrow} 5 \underset{+2}{\longrightarrow} 7[/tex]

As the second differences are the same, the relationship between the variable is quadratic and will contain an [tex]x^2[/tex]  term.

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

To determine the quadratic equation

The coefficient of [tex]x^2[/tex]  is always half of the second difference.

As the second difference is 2, and half of 2 is 1, the coefficient of [tex]x^2[/tex] is 1.

The standard form of a quadratic equation is:  [tex]y=ax^2+bx+c[/tex]

(where a, b and c are constants to be found).

We have already determined that the coefficient of [tex]x^2[/tex] is 1.

Therefore, a = 1

From the given table, when [tex]x=0[/tex], [tex]y=12[/tex].

[tex]\implies a(0)^2+b(0)+c=12[/tex]

[tex]\implies c=12[/tex]

Finally, to find b, substitute the found values of a and c into the equation, then substitute one of the ordered pairs from the given table:

[tex]\begin{aligned}\implies x^2+bx+12 & = y\\ \textsf{at }(1,19) \implies (1)^2+b(1)+12 & = 19\\ 1+b+12 & = 19\\b+13 & =19\\b&=6\end{aligned}[/tex]

Therefore, the quadratic equation for the given ordered pairs is:

[tex]y=x^2+6x+12[/tex]

1 tablespoon is equivalent to _____ ml.

Answers

Answer:

14.787ml

for an approximate result, multiply the volume value by 14.787

hope this helps

let's answer it :3

•┈┈┈••✦ answer ✦••┈┈┈•

->(14.787ml )

hope it helps

correct me if I am wrong

by #galadohannadivine29

Tony is interested in the favorite activities of the students in his school. He surveys all the members of the school's chess club. Did Tony survey a random sample of all the students in the school? Explain.

Answers

No because he only surveyed the members of the chess club
Other Questions
34=need some solution please M and M, Inc. produces a product that has a variable cost of $4.20 per unit. The company's fixed costs are $45,600. The product is sold for $8 per unit and the company desires to earn a target profit of $11,400. What is the amount of sales that will be necessary to earn the desired profit Identify whether the change represent growth or decay and determine the percentage rate increase or decrease in y= 16(1.059)^z PLEASE HELP!! RIGHT ANSWER GET 50 PTS AND BRAINLIEST!!!!! Write one paragraph why "Lady Freedom Among Us" is influential/ important. What is meant by "lean production"? Mitosis is a process of cell reproduction in which one cell divides into two identical cells. A bacterium called E. coli often causes serious food poisoning. It can reproduce itself in 15 min.a) Starting with one bacterium, make a table with time in1/4-h blocks and the corresponding number of E. colibacteria up to 2 h of bacteria growth.b) About how long will it take before there are 10 000 bacteria? A landowner owned a three-acre plot of land in a remote location. His plot abutted a two-acre wooded property that contained an artesian spring owned by an out-of-state investor who had never developed or visited the land. Hoping to make a substantial profit by making his property sound more appealing, the landowner altered the existing deed for his three-acre plot so that the deed indicated that his parcel was five acres in size and included the wooded property with the artesian spring. A buyer offered to pay $50,000 for the five-acre parcel and expressed that $10,000 per acre was quite reasonable. The landowner accepted and signed the altered warranty deed, conveying the five acres to the buyer. The landowner mailed the deed to the buyer, and the buyer subsequently took possession of the land. However, the buyer did not record the deed. A year later, the buyer learned that the out-of-state investor held title to the two acres of property that contained the artesian spring. Is the buyer entitled to ownership of the five-acre parcel? What three primary nutrients are necessary for healthy plant growth and how can they be replenished?. The length of a rectangular dassroom floor is 19 feet less than twice its width. write an expression to represent the area of the floor in simplest form. The group responsible for the inspection and grading of meat is the. Question 1 2017 (ECZ) Wedding Celebrations should be abandoned because because they have become very expensive and meaning Less. Argue for Against this Statement. Most practical applications of integer linear programming involve mostly ordinary integer variables and a small number of 0-1 integer variables. only 0-1 integer variables and not ordinary integer variables. a near equal number of ordinary integer variables and 0-1 integer variables. only ordinary integer variables. Beethovens symphony no. 9, "Ode to joy," was hisA: First symphonyB: Last SymphonyC: Only successful Symphony Some of the following integers are prime. Compute the sum of the prime integers in the list. (a) 197 (b) 497 (c) 1111 (d) 2111 (e) 2643 (f) 3599 Which choice belongs in space 5!!! Select the correct answer.The Cohen family started their wheat farm in 1995. The equation models the number of bushels of wheat they produced each year, where tisthe number of years since 1995.C(t)= 7,000+500 In(t + 1)The Mason family also started their wheat farm in 1995. The graph models the number of bushels of wheat they produced each year, where tis the number of years since 1995.M(t) Does "Picture Yourself a Winner" ' provide an unbiased discussion that uses credible evidence and acknowledges different opinions about the practice of using mental imagery? Why or why not? Can someone explain me this please Consider a space shuttle which has a mass of about 1.0 x 105 kg and circles the Earth at an altitude of about 200.0 km. Calculate the force of gravity that the space shuttle experiencesuhm i don't understand wut to put below the formula please make it clear thank you alot 4 examples of buddhist influence in pop culture today Which phrase gives the passage from "A Visit of Charity" a mood that is lonelyand isolated?