In the triangle below, If Sin B =5/13, Find the Tan A

In The Triangle Below, If Sin B =5/13, Find The Tan A

Answers

Answer 1

Answer: tgA=12/5

Step-by-step explanation:

[tex]\displaystyle\\0^0 < B < 90^0\\sin^2B+cos^2B=1\\sin^2B+cos^2B-sin^2B=1-sin^2B\\cos^2B=1-sin^2B\\cos^2B=1-(\frac{5}{13})^2\\\\cos^2B=1-\frac{5^2}{13^2} \\\\cos^2B=1-\frac{25}{169} \\\\cos^2B=\frac{1*169-25}{169} \\\\cos^2B=\frac{144}{169}\\\\\sqrt{cos^2B} =\sqrt{\frac{144}{169} } \\\\cosB=б\sqrt{\frac{12^2}{13^2} } \\\\cosB=б\sqrt{(\frac{12}{13})^2 } \\\\cosB=б\frac{12}{13} \\\\As,\ 0^0 < B < 90^0\\\\cosB=\frac{12}{13} \\\\[/tex]

[tex]\displaystyle\\tgB=\frac{sinB}{cosB}\\\\ tgB=\frac{\frac{5}{13} }{\frac{12}{13} } \\\\tgB=\frac{5}{12} \\\\tgA=tg(90^0-tgB)\\\\tgA=ctgB\\\\tgA=\frac{1}{tgB} \\\\tgA=\frac{1}{\frac{5}{12} }\\\\ tgA=\frac{12}{5}[/tex]


Related Questions

-9r+10r i have one more pls help me

Answers

Answer:

r

Step-by-step explanation:

10r - 9r =  r

What 5 points are not coplanar with H, E, and A?​

Answers

5 points that are not coplanar with H, E, and A are B, I, C, F, and G.

The figure in the given diagram is a cube. We have to find the 5 points in the cube that are not coplanar with H, E, and A.

Points are non-coplanar if they don't lie on the same plane.

From the given cube diagram, it is clear points A, E, H, J, and D lie on the same plane, while the points B, I, C, F, and G lie on a different plane. Since we have to check if the points are coplanar with respect to the given points H, E, and A.

It can be concluded that points J and D are coplanar with the given points H, E, and A as they all lie in the same plane, while the points B, I, C, F, and G are non coplanar points with respect to the given points H, E, and A as they lie on a different plane.

Therefore, using the concept of coplanar and non coplanar points, we get 5 points that are not coplanar with H, E, and A as B, I, C, F, and G.

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Translate to an equation and solve the following: h divided by −13 is equal to −65.

Answers

Answer: h=845 and equation is h/-13=-65


Steps:


h/-13=-65

Multiply both sides by -13 to eliminate fraction and isolate the h

h=845

In the parallelogram below, x = [? ] 6x-57 3x+3 ​

Answers

The value of x is 20

What is a parallelogram?

A parallelogram is a quadrilateral with equal opposite sides

Since the opposite sides of a parallelogram are equal, then the following equation is true

[tex]6x - 57 = 3x + 3[/tex]

Divide through by 3

[tex]2x - 19 = x + 1[/tex]

Collect like terms, in the above equation

[tex]2x - x = 19 +1[/tex]

Evaluate the like terms

[tex]x = 20[/tex]

Hence, the value of x is 20

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What are the real and imaginary parts of the complex number?

10−7i
The real part:

The imaginary part:

Answers

Answer:

Real: 10

Complex: -7i

Step-by-step explanation:

i is imaginary.

The real part of the complex number is 10 and the imaginary part of the complex number is -7i.

What is complex number?

The complex number is of the form a+ib where a and b are real numbers.

The given number is 10-7i.

Compare the given number with a+ib and determine the values of a and b.

a=10

b=-7

In the complex number, a+ib the real part is a and b is the imaginary part.

So, the real part of the given number is 10 and the imaginary part is -7i.

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Which of the following series is equal to the repeating decimal 0.353535…?

ANSWERS
1.C
2. 0.35.
3. 0.01
4. 35/99

Answers

Answer: 2.

Step-by-step explanation: This is because 35 is repeating forever.

The answer is 2 because it is a repeating decimal.

si en la cancha de una escuela se va a colocar 150 sillas en forma rectangular, cuales seran las posibles arreglos de manera que no sobren sillas en ninguna fila​

Answers

Answer:

RGRGAEGETG

Step-by-step explanation:

What is the length of JL?

Answers

As We can see that point J is on (-2,5) and L is on (-2,-2)

So we know that distance cannot be in negative, thus

Distance between J and L =5+2=7 units

JL=7

Part E
Open the parallel lines rotation application .The right set of parallel lines is a 90° rotation counterclockwise of the left set of
parallel lines. Click the 90° counterclockwise button. Are the two sets of parallel lines the same? What does this mean about
how parallel lines change when you rotate them?

Answers

Two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.

What is Angle Translation?A translation is a type of transformation that involves sliding each point in a figure the same distance in the same direction. In geometry, translating something simply means moving it around. We do not alter it in any way. When we translate a segment, it remains a segment and its length remains constant. Similarly, when we translate an angle, the angle's measure remains constant.

According to the given diagram:

Although the two sets of parallel lines in each set remain equidistant to each other, the parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.

Therefore, two sets of parallel lines continue to stay equidistant to each other in each set of parallel lines, this same parallel line at an angle to the Y-axis will not intersect the parallel line at an angle to the x-axis if they are extended infinitely.

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Isabella tossed a coin and spun a spinner that is divided into 3 equal sections. She did this 50 times. The results are shown in the table. What is the experimental probability that the next time Isabella tosses the coin and spins the spinner she will get a tails and a 2? *

Answers

Answer:

ur gay landen

Step-by-step explanation:

Which line is an asymptote of the function f(x)= -6e^4(x-1) - 2 ?

A. y = 1
B. y = -2
C. y = -6
D. y = 1​

Answers

Answer:

i am positive it is B

Step-by-step explanation:

it is definitely b for sure

Mrs.jones waters the plants on her porch every 5 days. She waters the vegetable garden every 2 days. If she waters them both today, how many days will pass before she will water both of them on the same day again?

Answers

the answer is 10. if you take the lcm of 5 and 2 you should get it.

how would you factorise 3y + 12

Answers

Answer:

lol it so easy man 3(y+4) is the answer

The school band has 8 trumpet players and 10 flute players. The ratio of trumpeters to flutists is 4 to what number?
Answer= 5 flute players

Answers

Answer 5 flute players

(HELP ME EXTRA POINTS )John just hired a new employee to work in your bakeshop. In one day, the employee burned 150
chocolate chip cookies out of 1,000 cookies made. What percent of the day's production, did
John's new employee burn?

Answers

Answer:If you want A brainly go subscribe to this youtubr channel Florida_kik

Step-by-step explanation:

Answer:

15%

1000* 15% = 150

Step-by-step explanation:

150 : 1000 = x : 100

(150 * 100) / 1000

15000/1000 =

15

Need help ASAP!!! Please comment if you know the answer I Really need help

Answers

i’m pretty sure it’s 65% please correct me if i’m wrong :)
The answer is 65% because when you do 13/20 which will give you 0.65 which equals 65/100 which equals 65%.

For the line that passes through the points (0, 2) and ((6, 0), the xintercept is what the y-intercept is what

Answers

Answer:

x int = 6

y int = 2

Step-by-step explanation:

Find x and y, i only need the answer so no need to show work

Answers

Answer:

x = 26

y = 92

Step-by-step explanation:

4x - 16 = 3x + 10

x = 26

y =  180 -88

y = 92

Find the measures of the numbers angles in each rectangle

Answers

Answer:

m<1 = 60°

m<2 = 30°

m<3 = 90°

Step-by-step explanation:

Recall some properties of Rectangle. Thus:

The four angles of a rectangle are right angles = 90° each.

Opposite sides of a rectangle are also parallel to each other.

With the knowledge of these, we can solve for angles 1, 2, and 3.

Thus:

m<1 = 60° (alternate interior angles are congruent)

m<2 + m<1 = 90° (complementary angles)

m<2 + 60° = 90° (substitution)

m<2 = 30° (substraction property of equality)

m<3 = 90° (angle of a rectangle)

Construct a viable argument. Mr. Allen has $149
in his checking account. He wants to write a check
for $169 to pay a bill. Is this a good idea? Why or
why not? Use addition of integers in your
explanation.

Answers

Not possible to pay the bill

Addition of integers is the process for finding out the sum of more than two variables. There may be an increase or decrease in value, depending on whether the integers are positive or negative or a mixture

Addition in mathematics is one out of the four basic mathematical operations used for adding of two numbers.

Rules for addition of integers

• The sum of an integer and its additive inverse is 0.

• Addition of two positive integers always result in a positive value that is always greater than both the integers.

• Adding two negative values always result in a positive value what is smaller than the given numbers.

• Adding 0 to any numbers results the same number.

Mr Allen has $149 in his account and he need to write a check of $169 . It is not possible because 149 < 169 , he must have money more than or equal to $169 for paying the bill.

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Explain why (y - 7)/(x - 5) = 2/6

Answers

Step-by-step explanation:

The given equation is :

[tex]\dfrac{y-7}{x-5}=\dfrac{2}{6}[/tex]

or

[tex]\dfrac{y-7}{x-5}=\dfrac{1}{3}[/tex]

Cross multiplying both sides:

[tex]3(y-7)=x-5\\\\3y-21=x-5\\\\3y-x=21-5\\\\3y-x=16[/tex]

The simplified equation is 3y-x=16.

Solve the equation for X


X^2 = 36/324

Answers

Answer:

X = 1/3 or X = -1/3

Step-by-step explanation:

Solve for X over the real numbers:

X^2 = 36/324

36/324 = 1/9:

X^2 = 1/9

Take the square root of both sides:

Answer: X = 1/3 or X = -1/3

Write the slope intercept form of the equation of the line through the given point with the given slope
Through: (-5,3), slope=-3/5

Answers

Given that,

Point = (-5,3)

Slope, m = -3/5

To find,

The slope intercept form of the equation of the line.

Solution,

The general form of equation is :

y = mx +b

We have, x = -5, y = 3

So,

[tex]3=\dfrac{-3}{5}(-5)+b\\\\3=-3+b\\\\b = 6[/tex]

The equation is :

[tex]y=\dfrac{-3}{5}x+6[/tex]

Hence, the required equation is [tex]y=\dfrac{-3}{5}x+6[/tex].

Can someone explain me to me how to solve this

Answers

Answer:

4/10 or simplified to 2/5

Step-by-step explanation:

when dividing fractions by a whole number, you want to imagine the whole number as a fraction. which would be 2/1. So you want to use the reciprocal of 2/1 which is 1/2. Then you multiple 4/5 by 1/2 which is 4/10 or simplified to 2/5 hope this helps :)

The health benefits Daisy receives from his employer covers 45% of the total montly premium of $350.00. How much does Daisy have to pay each month?

Answers

Answer:

$192.5

Step-by-step explanation:

1. turn 45% into .45

2. multiply .45 x 350

3. get 157.5 and then subtract 350-157.5

4. answer is 192.5

the science club went on a two-day field trip the first day the members pay $50 for transportation plus $12 per ticket to the Planetarium the second day they paid $100 for transportation plus $9 for tickets to the geology Museum write an expression to represent the total cost in dollars for two days for the end members of the club and expression that represents the total cost in dollars for two days for the end members of the club is given​

Answers

Answer:

y=50+12x y=100+9x

Step-by-step explanation:

Are the two triangles in the image similar? ASAP

Answers

Answer:

Yes, they are

Step-by-step explanation:

180 - 100 = 80

80 - 45 = 35

All angles 100, 45, and 35

Answer:

Yes

Step-by-step explanation:

Triangle QRP is missing angle R, which is 35 degrees and triangle TUS is missing angle S, which is 45 degrees. The two triangles have the other missing angle.

pls help I will fail 10th grade

Answers

Answer:

b

Step-by-step explanation:

Please mark brainiest

What is 25% of 2,000

Answers

500! You just multiply 25% x 2,000. Hope this helped love!

Answer:

500

Step-by-step explanation:

= (25/100)*2000

= (25*2000)/100

= 50000/100 = 500

Step 1: In the given case Output Value is 2000.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 2000 = 100%.

Step 4: In the Same way, x = 25%.

Step 5: On dividing the pair of simple equations we got the equation as under

2000 = 100% (1).

x = 25% (2).

(2000%)/(x%) = 100/25

Step 6: Reciprocal of both sides results in the following equation

x%/2000% = 25/100

Step 7: Simplifying the above-obtained equation further will tell what is 25% of 2000

x = 500%

Therefore, 25% of 2000 is 500

The theater has 9 chairs in a row and there are 4 rows there are 36 chairs and for an upcoming show, the theater needs to have 4 times as many chairs, they are able 3 more chairs to each row and they can add as many rows as you want and how many rows do they need if they need 144 chairs​

Answers

Answer:

the answer is 118

Step-by-step explanation:

so you basically want to add the numbers first but not 144 you want to see if those numbers add up to 144 or if its not enough, then you will need to subract 46 and 144 for get your answer! Btw if this is wrong im sorry but i hope it helps you.

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