Use Triangle ABC to find the trigonometric ratio.
tan B =

Use Triangle ABC To Find The Trigonometric Ratio.tan B =

Answers

Answer 1

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[tex] \tan(B) = \frac{ \sin(B) }{ \cos(B) } = \frac{ \frac{8}{17} }{ \frac{15}{17} } = \frac{8}{15} \\ [/tex]

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Answer 2

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of Tan(B) will be equal to 8/15.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The value of Tan(B) will be the ratio of the sides AC and BC. Therefore, the value of Tan(B) can be written as,

Tan(B) = AC / BC

Tan(B) = 8/15

Hence, the value of Tan(B) will be equal to 8/15.

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Related Questions

ANSWER NEEDED ASAP
What is the reason for statement 3 in this proof?
A.
using point-slope formula
B.
definition of parallel lines
C.
Transitive Property of Equality
D.
Reflexive Property of Equality
E.
definition of midpoint

Answers

Answer:e

Step-by-step explanation:

I don’t understand!!!!!!!!!!

Answers

I believe the answer is that none of the solutions. Due to when plugging in all the number it seems that it’s not correct. Double check my work though.. I don’t want u to get it wrong and have it be my fault..

what's the sum of 2 plus 2​

Answers

Answer:

4

Step-by-step explanation:

Answer:

the sum is 4 and can i have brainliest? please i really need it

Step-by-step explanation:

PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!

Answers

Answer: This can help you step by step

Step-by-step explanation:

rewrite the linear equation 2x=1/3y-9 in slope- intercept form.
y=. x. +

Answers

Answer:

y = 6x + 27

Step-by-step explanation:

The required linear equation would be y = 6x + 27 in the slope-intercept form.

What is a Linear Function?

A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.

It represents the line's slope-intercept form, which is written as y = mx+ c.

Linear equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing.

The linear equation is given in the question

⇒ 2x = (1/3)y - 9

We have to rewrite the equation in the slope-intercept form.

⇒ 2x = (1/3)y - 9

Multiply by 3 both sides of the above equation,

⇒ 6x = y - 27

Rearrange the term of y to get

⇒ y = 6x + 27

Therefore, the required linear equation would be y = 6x + 27 in the slope-intercept form.

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Can someone help me pls. the Subterranean roller coaster rises up to 50.6 feet above the ground before dropping 100.7 feet into an underground cavern. Describe the height of the roller coaster at the bottom of the cavern.

Answers

Answer:

-50.1

Step-by-step explanation:

The height of the roller coaster at the bottom of the cavern is 50.1 feet down from the ground level.

What is Subtraction?

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Given that,

Subterranean roller coaster rises up to 50.6 feet above the ground before dropping 100.7 feet into an underground cavern.

So the height of the roller coaster when it rises is 50.6 feet from the ground .

After that it drops to 100.7 feet into an underground cavern.

Height of the roller coaster now = 50.6 - 100.7

                                                      = -50.1 feet

Negative sign indicates that it is below the ground level.

Hence the height of the roller coaster at the bottom of the cavern is -50.1 feet.

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The coordinates of A are (1,1) and the coordinates of B are (-5,-1)what are the coordinates for the midpoint of line segment AB?

Answers

Answer:

8 point M is the midpoint of AB.

Step-by-step explanation:

I hope that helps u out!

Pls help
Solve 2/3x- 1/5>1

Answers

Answer:

x > 9/5

Step-by-step explanation:

Step 1: Write inequality

2/3x - 1/5 > 1

Step 2: Solve for x

Add 1/5 to both sides: 2/3x > 6/5Divide both sides by 2/3: x > 9/5

Here we see that any x value greater than 9/5 will work.

2. The movie theater has three different sizes of popcorn containers. Enrique found the movie boring and wondered how much more space the larger boxes have for filling purposes. The volume of the popcorn containers in cubic feet are expressed in the
following table.
Size
Small
Medium
Large
Volume Function
s(x) = x3 + 5x2 + 10x + 64
m(x) = 3x3 + 2x2 - 4x - 10
1(x) = 5x3 - x2 + 23x + 2
Write a function d(x) to represent the extra space available in the large box when
compared to the small box. Then, determine the difference between d(x) and m(x).

Answers

Answer:

part one: 4x^(3)-6x^(2)+13x-62

part two: x^(3)-8x^(2)+17x-52

Step-by-step explanation:

Find f'(a). f(x)=[tex]\sqrt{2-2x}[/tex] using (f(a+h)-f(a))/h

Answers

Answer:

clculator soup

Step-by-step explanation:

Which expression has a value of 13

Answers

Answer:

D.

I promise

Step-by-step explanation:

Hope this helps!!

Somebody who remembers how do to this plz answer all the questions correctly thanks so much!!!!
(WILL MARK AS BRAINLIEST)
:D

Answers

28. 0.16 (add a line above 6)

29. 0.45 (add a line above 45)

30. 0.4 (add a line above 4)

31. 0.27 (add a line above 7)

32. 0.037 (add a line above 037)

33. 0.045 (add a line above 45)

34. 0.27 (add a line above 27)

35. 0.148 (add a line above 148)

36. 0.16 (add a line above 6)

37. 2.83 (add a line above 3)

Why?

Just divide the 1st number by the last numberb and if the numbers repeat at the end, add a line above them!

^^^^^ bro that guy so smart

find the slope of a line that passes through the points -2,3 and 4,-3

Answers

Answer:

-1

Step-by-step explanation:

y1 - y2

_____

x1 - x2

6

__

-6

6÷ -6= -1

1 Two functions are shown below. Function A Function B x 0 3 5 y 5 3x 1 2 y 3 9 13 Which statement correctly describes the rates of change of the two functions? A The rate of change is 2 for both Function A and Function B. B The rate of change is 3 for both Function A and Function B. C The rate of change is greater for Function A than for Function B. D The rate of change is greater for Function B than for Function A.

Answers

Answer:

D The rate of change is greater for Function B than for Function A

Step-by-step explanation:

A function shows the relationship between a dependent variable and an independent variable. A linear function is given as y = mx + b, where m is the rate of change, y is the dependent variable, x is the independent variable and b is the value of y when x = 0.

Function B is given by y = 3x + 2. Comparing with y =mx + b gives m = 3. Therefore the rate of change of function B is 3.

Function A has x: 0, 3, 9 and y:3, 9, 13. Using the points (0,3) and (3, 9), we an get the equation of the function. The formula is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{9-3}{3-0}(x-0)\\ \\y-3=2x\\\\y=2x+3[/tex]

Function A is given by y = 2x + 3. Comparing with y =mx + b gives m = 2. Therefore the rate of change of function A is 2.

The rate of change is greater for Function B than for Function A

PLEASE HELP!!!!!
Type the integer that makes the following subtraction sentence true:

− –478 = –398

Answers

The answer would be “-876”

Which property of equality would be used to solve the equation 59 = x - 26?




multiplication
addition
division
subtraction

Answers

Answer:

addition

Step-by-step explanation:

because u always have to reverse operation

Answer:

subtract

Step-by-step explanation:

Carla makes $18.50 per hour. Calculate her earnings for a 30 hour week.
Gross Earnings
Taxes Withheld
Social Security Tax
Gross Pay:
$33.48
Medicare Tax
$7.83
Federal Tax
$65.50
Total Amount of Withholdings/
$21.60
Deductions:
State Tax
Deductions
Net Pay:
Net Earnings

Answers

Answer:

Her earnings would be $555

Answer:It's b

Step-by-step explanation:

Write the point-slope form of an equation for a line that passes through the point with the given slope.
(-6, -2), m = -2

y+2 = 2(x + 6)
y + 2 = -2(x + 6)
y + 2 = -2(x-6)
y - 2 = -2(x + 6)

Answers

Answer:
y+2=-2(x+6)

Explanation:
Point-slope form: y-b=m(x-a) when the points are (x,y) and (a,b)

“M” means the slope.

Because we are already given a point, we just need to plug in the values as a and b. We can also plug in the value for the slope as m.

y-b=m(x-a)
y-(-2)=-2(x-(-6))
Two negatives make a positive
y+2=-2(x+6)

I hope this helps! Please comment if you have any questions.

The area of a square is (16x^{2} +72x+81) square is centimeters what is the measuere of its side the area of a square is (side)^{2}

Answers

Answer:

Each side is (4x + 9) cm

Step-by-step explanation:

Area = (16x^{2} +72x+81)

Area = (4x+9)(4x+9)

Each side is (4x + 9) cm

An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a conputer monitor the actual book is 9 inches wide . How tall is the actual book ?

Answers

Answer:

Step-by-step explanation:

Step one: 9÷1.5= 6

Step two: 3·6=18

The actual book is 18 inches tall and 9 inches wide

Jonas's printer can print 96 black and white pages in 4 minutes. If the ratio of pages printed to minutes is constant, how many minutes will it take the printer to print 240 pages?

Answers

Answer:

It will take 10 minutes for the printer to print 240 pages.

Step-by-step explanation:

First, you have to find how many pages the printer prints in 1 minutes. whixh is 24. You can find this by simply dividing 96 by 4. Then, you divide 240 from 24, and get 10! Hope this helps!

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. a. In words, define the random variable X. b. List the values that Xmay take on. c. Give the distribution of X.X~ _____(_____,_____) d. WhatistheprobabilitythatwemustsurveyjustoneortworesidentsuntilwefindaCaliforniaresidentwhodoes not have adequate earthquake supplies? e. What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies? f. HowmanyCaliforniaresidentsdoyouexpecttoneedtosurveyuntilyoufindaCaliforniaresidentwhodoesnot have adequate earthquake supplies? g. How many California residents do you expect to need to survey until you find a California resident who does have adequate earthquake supplies?

Answers

Answer:

Step-by-step explanation:

We are given that 30% of California residents have adequate earthquake supplies.

a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance

B) x can take value 1 ,2 ,3 ......

C)The distribution of random variable is geometric distribution with parameter p=0.3

The pmf of geometric distribution is

[tex]P(X=x)=0.3(1-0.3)^{x-1} , x=1,2,3...[/tex]

D)P(X=1) or P(X=2)=P(X=1)+P(X=2)

P(X=1) or P(X=2)=[tex]0.3(1-0.3)^{1-1}+0.3(1-0.3)^{2-1}=0.51[/tex]

E)

[tex]P(X \geq 3)=1-P(X<3)\\P(X \geq 3)=1-(P(X=1)+P(X=2))\\P(X \geq 3)=1-0.51\\P(X \geq 3)=0.49[/tex]

F)

[tex]E(X)=\frac{1}{p}[/tex]

p is the resident who does not have adequate earthquake supplies.

p = 1-0.3 = 0.7

[tex]E(X)=\frac{1}{0.7}=1.42[/tex]

G)[tex]E(X)=\frac{1}{q}=\frac{1}{0.3}=3.33[/tex]


The Monkey and the Cookie Jar
Once there was a monkey who found a jar full to the brim with cookies. He eyed them hungrily, and shoved his hand into the jar, grabbing as many as he little paw could hold. But when he went to remove his hand from the jar, he couldn’t get it out. His hand was too full of cookies. Unwilling to lose the cookies, and yet not able to get his hand out, the monkey burst into tears.
THEME: ________
Golden Line explanation: _______

Read each fairy tale or short story. (1) Identify the theme of the passage. (2) highlight phrases in the fairy tale that support your theme choice, and (3) write two sentences explaining how those Golden Lines support your theme choice.


Answers

Answer:

The theme is the monkey and the cookie jar

Step-by-step explanation:

The golden line is he was unwillingly not letting the cookies go but couldn't get his hand out

This is the golden line explanation because you can learn a lesson from this story. The lesson is to not be stubborn.

Please mark me as brainliest since I'm the one that actually answered your question

When you’re diving fractions what does the “change” In “keep, change, flip” tell you to do?

Answers

Answer:

change

Step-by-step explanation:

it means to change the dividing symbol from dividing to multiplying

The discriminant of a quadratic equation is 7. Which statement best describes its roots?

- 2 imaginary root
- 1 real rational root
- 2 irrational real roots
- 2 rational real roots

Answers

Answer:

2 rational real roots.

what are the steps to solve n/7-5=-3

Answers

Answer:

n = 14

Step-by-step explanation:

n/7 - 5 = -3

n/7 = 2

n = 14

Take these points but pls answer my other question:
https://brainly.com/question/18304671
or go to my acc and my questions.

Answers

Answer:

Thank U

Step-by-step explanation:

Answer:

thx

Step-by-step explanation:

the sum of three consecutive odd integers is 57. what are three integers.

Answers

Answer:

17,19,21

Step-by-step explanation:

Let x be the smallest integer

x+x+2+x+4=57

3x+6=57

3x=57-6

3x=51

x=51/3

x=17

17,19,21

(Pythagorean theorem) How do i do this??

Answers

Answer:

x=8

Step-by-step explanation:

10^2=6^2+x^2

100=36+x^2

100-36=x^2

64=x^2

square root of 64 is 8

Answer:

h²=p²+b²

10²=6²+x²

100-36=x²

x=√64=8

LOTS OF POINTS!!! HELP WITH 7 ANd EXPLAIN!!

Answers

Answer:

w=4

Step-by-step explanation:

The surface area of a prism is SA= 2lw+2lh+2hw

We are trying to find out the width if the SA is 240 square inches, length is 12 inches, and the height is 5 inches. Let's plug these numbers into the equation.

240=(2*12*w)+(2*12*5)+(2*5*w)

          24w+120+10w

240= 34w+120

-120           -120

120= 34w

120/34 = 34w/34

w is approximately equal to 3.5 which can be rounded to 4

w=4

Hope this is right! It was confusing at first but I understood it!

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