solve the right angle trig problem.

Solve The Right Angle Trig Problem.

Answers

Answer 1

Answer:

x = 9.23919

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing length.

Step 2: Identify Variables

POV from the angle measure

Angle = 57°

Opposite = x

Adjacent = 6

Step 3: Solve for x

Substitute:                    tan57° = x/6Isolate x:                       6tan57° = xEvaluate:                       9.23919 = xRewrite:                        x = 9.23919
Answer 2

9514 1404 393

Answer:

x ≈ 9.24H ≈ 11.02

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships.

  Tan = Opposite/Adjacent

  tan(57°) = x/6

  x = 6·tan(57°) ≈ 9.24

__

The complete solution of the triangle will also find a value for H.

  Cos = Adjacent/Hypotenuse

  cos(57°) = 6/H

  H = 6/cos(57°) ≈ 11.02

_____

Comment on the figure

We note that, in relation to the given angle, the markings O and A are reversed. The side labeled 6 is adjacent (A) to the marked angle, and the side labeled x is opposite (O) to the marked angle.


Related Questions

Danielle is making a quilt with triangles and squares. There are 4 colored triangles inside each square. The base and height of each triangle is x + 4 inches as shown. Which polynomial represents the area of the colored triangles in square inches?

Answers

Answer:

[tex](2x^2+16x+32)\ \text{sq. inches}[/tex]

Step-by-step explanation:

b = h = Base = Height of triangle = [tex](x+4)\ \text{inches}[/tex]

Area of one triangle

[tex]A=\dfrac{1}{2}bh=\dfrac{1}{2}(x+4)(x+4)[/tex]

There are 4 colored triangles so total area of the triangles is

[tex]4A=4\times \dfrac{1}{2}(x+4)(x+4)\\\Rightarrow 4A=2(x+4)^2\\\Rightarrow 4A=2(x^2+8x+16)\\\Rightarrow 4A=2x^2+16x+32[/tex]

The area of the colored triangles is [tex](2x^2+16x+32)\ \text{sq. inches}[/tex]

Percent equations I need help plzzz here is the question blank % of 6,000 = 4,800

Answers

80 percent of 6,000 is 4,800

Answer:

20%

Step-by-step explanation:

20% of 6000 = 4800

If I helped you, can you mark me brainliest please?

HELP PLS IDK WHAT TO DO

Answers

Answer: hmmm i think u should multiply

Step-by-step explanation:

Answer:

gfbngfjhbfgnbfhbnng

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST
WHICH OF THESE IS EQUIVALENT TO 4^-3 ?
(-4)(-4)(-4)
3^4
(-1/4)(-1/4)(-1/4)
1/4^3

Answers

First one pretty obvious

For f(x) = 5x and g(x)= x + 9, find
(fog)(x); b. (gof)(x); (fog)(3)
a.
C.
a.
(fog)(x)=
(Simplify your answer.)

Answers

Answer:

(fog)(x)  = 5x+45(gof)(x)   = 5x+9(fog)(3) = f(g(3)) = f(12) = 60    

Step-by-step explanation:

Given

f(x) = 5xg(x) = x + 9

Finding (fog)(x)

(fog)(x)  = f(g(x))

(fog)(x)  = f(x+9)

(fog)(x)  = 5(x+9)             ∵ substitute x as x+9 in the f(x)

(fog)(x)  = 5x+45

Finding (gof)(x)

(gof)(x) = g(f(x))

(gof)(x)  = g(5x)

(gof)(x)   = 5x+9                 ∵ substitute x as 5x in the g(x)

Finding (fog)(3)

(fog)(3) = f(g(3))

substitute x = 3 in the g(x)=x+9

g(x) = x+9

g(3) = 3+9

g(3) = 12

so

(fog)(3) = f(g(3)) = f(12)

now substitute x = 12 in  f(x) = 5x

f(x) = 5x

f(12) = 5(12)

f(12) = 60

Thus,

(fog)(3) = f(g(3)) = f(12) = 60

What is 60/7 converted to a mixed number and simplified

Answers

Answer:

847

Step-by-step explanation:

brainlest plzzzz

The mean weight of the domesticated house cat is 9.2 pounds with a standard deviation of 3.4 pounds. If a cat has a z-score of -1.3 for its weight, how much does it weigh? Write your answer as a complete sentence.

Answers

Answer:

4.78 pounds

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 9.2 pound

σ is the population standard deviation = 3.4 pounds

z = 1.3

We are to find x

Hence,

-1.3 = x - 9.2/3.4

Cross Multiply

-1.3 × 3.4 = x - 9.2

-4.42 = x - 9.2

x = -4.42 + 9.2

x = 4.78 pounds.

Therefore the weight of the cat is 4.78 pounds

which describes the correlation shown in the scatter plot ?

A.there is a positive correlation in the data set
B.there is a negative correlation in the data set
C.there is no correlation in the data set
D.more points are needed to determine the correlation ​

Answers

I’m pretty the answer is b but I might be wrong

Answer:

It is B because it is negative correlation.

Step-by-step explanation:

Everyone keeps saying it's A, but how would it be A if the trend is going down? Make it make sense.

It is B.

Can someone help me ASAP

Answers

Answer:

D. 1/5^15

Step-by-step explanation:

When an exponent is negative you need to get the reciprocal to make it positive.

Answer: you chose the correct answer, d, if the exponent is negative you need to find it’s reciprocal

Step-by-step explanation: 5 is a positive number but the exponent is not, in order for it to be positive the reciprocal is 1/5 because you are basically flipping the number 5 (which is equal to 5/1)

Please, Solve for Y

3x - y = -13

(Correct answer gets brainliest)

Answers

Answer:

y = 13 +3x

i answered in the comments, bc it wasnt lettin me actually answer

Step-by-step explanation:

3x - y = - 13

-3x -3x

-y = -13 - 3x

divide everything by -1

y = 13 + 3x

hope this helpsss!!!

is y=5 a linear function.

Answers

Answer:

No, y=5 is NOT a linear function.

Step-by-step explanation:

In order for a linear function to be true, it need to include a slope-intercept. For example, a commonly used equation, y = mx+b y = m x + b, is an example of a linear function, since it meets both the variables of m and b and criteria of x and y. In this case, when drawing out y=5 on a graph, marking it down reveals no slope.

I hope this helped to answer your question.

We now know that y = 5 is not a linear function as it cannot be written as y = MX + b.

What are linear functions?The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields. The formula y = MX + b can be used to represent any linear function, where m denotes the slope and b is the y-intercept (slope-intercept form). The alternative formula for a linear function is y - y₀ = m(x - x₀), where m denotes the slope and (x₀, y₀) the line's origin (point-slope form).

As, in the description it is cleary said that linear functions can be represented in y = MX + b form, and y = 5 cannot be represented in the same form.

Therefore, y = 5 is not a linear function as it cannot be written as y = MX + b.

Know more about linear functions here:

https://brainly.com/question/15602982

#SPJ2

1. (b+5) 12
2. (b–5) 15

Answers

Answer(s)

1.=12b+60

2.=15b-75

Step-by-step explanation:

12xb=12b

12x5=60

1.=12b+60

15xb=15b

15x-5=-75

2.=15b-75

The menu for a restaurant lists 3 types of soup, 5 types of sandwiches,
and 4 types of chips. If a meal is one soup, one sandwich, & one bag of
chips, how many meals can you make? * pls help

1. 12
2.15
3.20
4.60

Answers

The answer is 20 good job

Which of the following lines is perpendicular to a line with a slope of 5?
y= 1/5x +5
y= 5x +5
y= -1/5x +5
y= -5x +5

Answers

Answer:

Y=-5x+5

Step-by-step explanation:

you just change it negative and if it was a fraction you'd change the sign the opposite still but.... flip the fraction :))

what is an equation of the line that passes through the points (1,2) and (2,-1) 

Answers

Answer:

[tex]y = - 3x + 5[/tex]

You should also try solving it yourself to make sure I did not make any mistake.

Step-by-step explanation:

Equation

[tex]y = mx + b[/tex]

First we need to know the slope

[tex]slope = \frac{y1 - y2}{x1 - x2} [/tex]

[tex]slope = \frac{2 - ( - 1)}{1 - 2} = \frac{3}{ - 1} = - 3[/tex]

So far the equation will look like this

[tex]y = - 3x + b[/tex]

To get the b you insert a point into the equation like this. I picked point (1,2)

[tex]2 = - 3 \times 1 + b[/tex]

[tex]b = 5[/tex]

We could also check it with the other point and see if we get the same answer.

[tex] - 1 = - 3 \times 2 + b[/tex]

[tex]b = 5[/tex]

So the equation is

[tex]y = - 3x + 5[/tex]

Let xrepresent the number of bags of Takis Scorpion BBQ sold each day. • The number of bags of Valcano Queso Takis sold each day is 6 less than three times the number of Scorpion BBQ bags sold. The total number of bags sold is 250. What is x, the number of bags of Takis Scorpion BBQ?​

Answers

Answer:

(3x-6)+x=250

x=64

There are 64 Takis Scorpion BBQ bags.

please please help im gonna fail​

Answers

   .       ...........................................

          .........

                                 .

Answer:

lol bro I'm failing too. Maybe it's a

how to write k/3 + 16 in words

Answers

Answer:

k divided by three plus sixteen

*please be serious*
*solve for y*

Answers

Answer:

i cant answer it without x or at least some more stuff in the question, the only thing i can rlly say is 9x+2 maybe

Step-by-step explanation:

I need help any help is appreciated please

Answers

Answer:

third option both cost the same after 2 months

Write the equation in Standard Form.

y=3/2x - 6

Answers

Answer:

3x - 2y = 12

Step-by-step explanation:

3x-2y=12 is the standard form of equation y=3/2x - 6

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The equation is y=3/2x - 6

y equal to three by two times of x minus six

y=3/2x - 6

LCM of 1 and 2 is 2

y=(3x-12)/2

Now apply cross multiplication

2y=3x-12

Two times of y equal to three times of x minus twelve

Now take 2y to RHS side

3x-2y-12=0

3x-2y=12

Hence 3x-2y=12 is the standard Form of equation y=3/2x - 6.

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ2

please help i dont want to fail

Answers

Answer: -2.2

Step-by-step explanation:

Answer:

-3/5 which is the third line between 0 and -1 if you're going back from 0.

I need help, can somebody plz help

Answers

Answer:

c

Step-by-step explanation:

MARKING PEOPLE AS BRAINLIST ALL DAY ONCE U ANSWER AND IS CORRECT :)

Answers

Answer: Hi there! your answer is A

Step-by-step explanation:

hope this helped smile and have a great day! stay positive!!! brainliest?

How many 1 fourths are in 3 fourths?

Answers

Answer:

12

Step-by-step explanation:

This question means 3/(1/4). The rule for division of fractions is invert the denominator and multiply. 3/(1/4) = 3 * 4 = 12. Another way to think of it is to imagine you have 3 pies each divided into quarters.

The area of the triangle is

square inches.
fill in the blanks

Answers

Answer:

8

Step-by-step explanation:

You could make any amount but 8 dos work if the triangle is a 2 by 8

The answer is 8 I am pretty sure

Determine the value of −14.1 × (-7.33)

Answers

Answer:

Multiply -14.1 by -7.33.103.353     ?

Step-by-step explanation:

Sorry I'm not very good at math hope this helps..



100 POINTS PLS HELP
2 5.2.3 Quiz: Canceling Units
Question 2 of 15
In converting 105 seconds to minutes, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 60 seconds in 1 minute.
Answer here

Answers

Do you still need help in this?

Write the slope-intercept form of the equation of the line described.

Answers

it’s a! hoped this helped you!!!!
Slope: -1/2
Y = -1/2x + b
-3 = -1/2(-2) + b
-3 = 1 + b, b = -4
Y = -1/2x - 4
I believe A is the correct equation

2) How old am I if 300 reduced by 4 times my age is 44?

Answers

Answer:

64

Step-by-step explanation:

300 -4x = 44

(300 - 44)/4= 64

check

64 x 4 =256

300 - 256 = 44

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