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

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

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.

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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]

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

Answers

here is the answer with work shown !!

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]

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

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

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

(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]

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

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Answer:

Keep it simple. Answer:

y=kx/z

  k=7

 z=42

Step-by-step explanation:

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

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]

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!

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

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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


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

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

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

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! :)

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


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.

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

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

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.

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.

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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

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

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.

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]

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