In the right triangle below, the measure of angle C is 90°, AB= 5 units, and CB = 2 units. What is tan B? ​

In The Right Triangle Below, The Measure Of Angle C Is 90, AB= 5 Units, And CB = 2 Units. What Is Tan

Answers

Answer 1
It’s the letter F. Hope this helps
Answer 2

The value of the tanB is root of 21/2

We have given that ,

C is 90 degrees and side AB=5 units and CB=2 units

We have to find the tan B

We have given that the right angle triangle.

What is the value of tan ratio?

[tex]tan\theta=\frac{opposite side}{adjucent side}[/tex]

Here opposite side side of B is AC and adjacent side of B  is CB.

We know the side AB=5 units and CB=2 units

First we have to find the side AC

Therefore by using Pythagoras theorem,

[tex]AB^2=CB^2+AC^2[/tex]

[tex]AB^2-CB^2=AC^2\\25-4=AC^2\\21=AC^2\\[/tex]

Taking square root on both side we have

[tex]\sqrt{21}=AC\\ AC=\sqrt{21}[/tex]

Now we have the tan ratio,

[tex]tan\theta=\frac{opposite side}{adjucent side}\\\\tanB=\frac{AC}{CB}\\\\tanB=\frac{\sqrt{21} }{2}\\[/tex]

Therefore the option F is correct.

The value of the tanB is root of 21/2.

To learn more about the trigonometric ratio visit:

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Related Questions

What is the area of this triangle?

Answers

Answer:

21

Step-by-step explanation:

The area of a triangle is base times height divided by two. Your base, which happens to be on top, goes from -4 to 3, or 7 units. The height goes from 3 to -3, or 6 units. 6 times 7 is 42, and 42/2= 21

Express 60 percent as a decimal.

Answers

Answer:

.60

Step-by-step explanation:

Answer:

0.60 60% = 0.60

What is the slope-intercept form of the linear equation 2x–8y=32?

Answers

Answer: y = 1/4x - 4

Step-by-step explanation: write it in slope intercept form y = mx + b

Please help ASAP Due in 1 day!!! Marking Brainliest!!!

Answers

Answer:

C

Step-by-step explanation:

4(7)-10=18

28-10=18

18=18

Answer:

It's C I think

have a nice day mate

#Captainpower

SOMEONE HELP ME ASAP PLEASEE

Answers

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

The diagram shows a 90 degree angle between the angles [tex]5x-2[/tex] and [tex]6x+4[/tex] They all lie on a straight line, so if you add them together you get 180[tex](5x-2)+(6x+4)+(90)=180\\5x+6x+4+90-2=180\\11x+92=180\\11x+92-(92)=180-(92)\\11x=88\\x=8[/tex]

A card is drawn at random from a standard 52-card deck. What is the probability of drawing a red card or a 7 of spades?

Answers

Answer: I think it would be 1/52

Step-by-step explanation:

The answer would be 1/52

Rewrite as a simplified fraction.
0.67 = ?
7 is repeating forever

Answers

Answer:

67/100

Step-by-step explanation:

its the simpelist form

Please help me don’t do it for points

Answers

Answer:

The answer is b and d

Step-by-step explanation:

The other answers are wrong.

Therefore b and d are correct.

Hope you get it right and this helps!

One-third of the result of three times a number that is increased by 12

Answers

Answer:

(1/3)(3x+12)

Step-by-step explanation:

1/3

times (3x+12)

3x+12 will be three times the number x + 12

____2. Find the value of x

A 16 C 50
B 34 D 70

Answers

50.........................

A car travels 351 miles on 13 gallons of gas. What is the number of miles driven per gallon of gas?

a. 24 mpg
b.27 mpg
c. 29 mpg
d. 28 mpg

Answers

Answer B. 27mpg
351/13=27
Answer B: 27MPG
351/13=27

x=2y-6;y=3x-7
substitution to solve systems of equations​

Answers

Answer:

As you said, we can solve this system for y by using substitution.

[tex]x = 2y - 6\\y = 3x - 7\\\\y = 3(2y - 6) - 7\\\\y = 6y - 18 - 7\\\\y = 6y - 25\\\\-5y = -25\\\\y = 5[/tex]

Now, using what we got for y, we plug it into one of the original equations to solve for x.

[tex]x = 2(5) - 6\\\\x = 10 - 6\\\\x = 4[/tex]

Now we have the solution of this system.

[tex](4, 5)[/tex]

For the given equations x=2y-6 and y=3x-7 the value of x is 4 and the value of y is 5.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two equations are x=2y-6 and y=3x-7. The value of x and y will be calculated as,

x=2y-6

y=3x-7

Solve the above equations by substitution method,

x=2(3x-7)-6

x = 6x -14 - 6

6x - x = 20

5x = 20

x = 4

The value of y will be calculated as,

y=3x-7

y = ( 3 x 4) - 7

y = 12 - 7

y = 5

To know more about an expression follow

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#SPJ5

HELP WANTED with this equation!

Answers

Answer:

Step-by-step explanation:

5/8 = 15/24 times 4       2.5 an hour

2/3 = 16/24 times 5       3 an hour

Machine B has the greater rate

For 0° ≤ x < 360°, what are the solutions to sin(StartFraction x Over 2 EndFraction) + cos(x) – 1 = 0 ?

{30°, 150°}
{60°, 300°}
{120°, 240°}
{210°, 330°}

Answers

{60°, 300°}

Using the half angle identity:

[tex]\sin\left(\frac{x}{2}\right)+\cos\left(x\right)-1=0\\\sin\left(\frac{x}{2}\right)+1-2\sin^{2}\left(\frac{x}{2}\right)-1=0\\\sin\left(\frac{x}{2}\right)-2\sin^{2}\left(\frac{x}{2}\right)=0\\\sin\left(\frac{x}{2}\right)\left(1-2\sin\left(\frac{x}{2}\right)\right)=0\\[/tex]

Using zero product rule:

[tex]\sin\left(\frac{x}{2}\right)=0,\frac{1}{2}\\x=\frac{x}{2}=0,30,150,180\\x=0,60,300,360[/tex]

Since, 0° ≤ x < 360°, so, x=60,300

Learn more about half angle: https://brainly.com/question/2254074

(GIVING BRAINLIEST & EXTRA POINTS!! PLS DRAW IT OUT! I DONT WANT TO KNOW THE ANSWER TO THE MULTIPLICATION, I WANT TO SEE HOW YOU SOLVE IT TO GET THE ANSWER :))




1. Use the square grid to find the area.

4 cm x 1 41 cm =_________



Here is the image:

Answers

just make 1 1/4 a mixed fraction so it is 5/4 and then multiple that by 4 and u get 5! attached is my work

Answer:

5

Step-by-step explanation:

1 1/4 x 4

(1 x 4) + 1 = 5/4

5/4 x 4/1 = 20/4

20/4 = 5/1

Hope this helped.

Which of the following option(s) is a unique curve that can be defined using polar coordinates? Select all that apply.

Rose
rational expression
cardioid
cubic function
lemicon

Answers

Answer:

1 2 and 3

Step-by-step explanation:

Hopefully this helps

Are the ratios 6:5 and 4:3 equivalent?​

Answers

No
They are not equivalent.

Help please!!!!!!!!!

Answers

Answer:

-9+12

Step-by-step explanation:

Answer:

12 - g

Step-by-step explanation:

12 - g

Addition property of zero: Any number added to 0, gives the same number

y = cos 4(x) period

Answers

cuál es la pregunta aquí?

4,408,703 in expanded form.

Answers

Step-by-step explanation:

It is

4,000,000+400,000+8000+700+3

Question 3 (2 points)
A unit rate is
A rate in which the second quantity in the comparison is one unit.

Answers

Answer:

true

Step-by-step explanation:

it's true, good luck :)

Which exponential function has an x-intercept?
A.
F(x) = 100+-5-1
B.
F(x) = 3x4+2
C.F(x) = 7+-1 + 1
D.
F(x) = -8x+1 – 3

Answers

The  exponential function has an x-intercept should be considered as the option A. F(x) = 100+-5-1.

What is an exponential function?

It is the mathematical function that should be denoted by f(x)=\exp or [tex]e^{x}[/tex]. It defined the positive valued function with respect to the real variable. Also, it could be extended to the numbers that are complex or could be general to the other maths objects.

hence, The  exponential function has an x-intercept should be considered as the option A. F(x) = 100+-5-1.

Learn more about function here: https://brainly.com/question/24557100

Seven
Cruel
Hours
Of
Our
Lifes


what math means
Mental
Abuse
To
Humans

Answers

Answer:

I like math.

Step-by-step explanation:

But I don't do seven hours of school because I am doing online school. I do 8 most of the time

Which of the following exponential functions goes through the points (1, 20) and (2, 80)?
O f(x) = 5(4)-
O f(x) = 4(5)-*
O f(x) = 5(4)*
O f(x) = 4(5)*

Answers

Answer:

f(x) = 5(4)^x is the correct answer

The perimeter of a rectangle is 42 inches inches if the width of the rectangle is 6 inches what is the length

Answers

Answer:

15 I think.

Step-by-step explanation:

If the perimeter is 42 inches and the width is 6 inches. That is only one side so you multiply.6 by 2 to get 12. Then 42 minus 12 is 30. Finally you split 30 into 2, to get the length. Since there are to sides. So 15.

Perimeter equals width + length (P= W+L)

P=42
W=6
L=?

42=6+L

Subtract 6 from 42

42-6= 36

Length= 36

Turn the sentence into an expression please

9. twenty more than a number added to the
difference between the number and nine

Answers

Answer:

(x+20) + (x-9)

Step-by-step explanation:

Convert 22 miles to yards. Use a proportion to solve. Make sure to show your work.

Answers

Answer:

22 meters/23.98 yards= 1 meter/ 1.09 yards

Step-by-step explanation:

You would multiply 22 by 1.09 and that is 23.98. Then you divided that from 1 and get 23.98 or you can round it to 24.

Help Meeeee Pleaseeeee

Answers

Answer:

m∠XYZ = 162°

Step-by-step explanation:

We can see that ∠XYZ is an exterior angle while ∠W and ∠X are the opposite interior angles.

We know that the exterior angle of triangle is equal to the sum of opposite interior angles

Given

m∠XYZ = (15x-18)°

m∠W = (5x+2)°

m∠X = (8x+4)°

Mathematically it can be written as:

m∠X+m∠W = m∠XYZ

[tex]8x+4+5x+2 = 15x-18\\13x+6 = 15x-18\\13x-15x = -18-6\\-2x = -24\\\frac{-2x}{-2} = \frac{-24}{-2}\\x = 12[/tex]

Putting x=12 in m∠XYZ

[tex]15x-18\\=15(12)-18\\=180-18=162[/tex]

Hence,

m∠XYZ = 162°

A coffee shop sells 4 types of coffee, 10 types of tea, and 5 sodas. How many different types of drinks does the coffee shop sell?

Answers

Answer:

19 is the answer.

You just want to find the total kinds of drinks the shop sells so just add up all the different kinds of drinks like so,

4+10+5=19

So the coffee shop sells 19 different types of drinks.

Please mark brainliest

McKayla hikes 8 miles on Monday. On Tuesday she
hikes 30% more miles than on Monday. What is the
NEW AMOUNT of miles she hikes on Tuesday?

Answers

Answer:

10.4 miles

Step-by-step explanation:

convert 30% to a decimal 0.3

Then multiply 8×0.3=2.4

Now you have to add 2.4 to 8 because it is 39% more

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