If sin ⁡ A = 28 53 sinA= 53 28 ​ and cos ⁡ B = 3 5 cosB= 5 3 ​ and angles A and B are in Quadrant I, find the value of tan ⁡ ( A + B ) tan(A+B).

Answers

Answer 1

Answer:

[tex]Tan(A+B)=\frac{264}{23}[/tex]

Step-by-step explanation:

From the question we are told that:

 [tex]SinA=\frac{28}{53}[/tex]

 [tex]CosB=\frac{3}{5}[/tex]

Let X be the adjective side to A

Let Y be the opposite side to B

Generally the equation for X is mathematically given by

 [tex]X^2=\sqrt{53^2-28^2}[/tex]

 [tex]X=45[/tex]

Therefore [tex]TanA[/tex]

[tex]TanA=\frac{28}{45}[/tex]

Generally the equation for Y is mathematically given by

 [tex]Y^2=\sqrt{5^2-3^2}[/tex]

 [tex]Y=4[/tex]

Therefore [tex]TanB[/tex]

[tex]TanB=\frac{4}{3}[/tex]

Generally the equation for [tex]Tan(A+B)[/tex] is mathematically given by

[tex]Tan(A+B)=\frac{TanA+TanB}{1-TanA*TanB}[/tex]

[tex]Tan(A+B)=\frac{\frac{28}{45}+(\frac{4}{3})}{1-(\frac{28}{45})*(\frac{4}{3})}[/tex]

[tex]Tan(A+B)=\frac{264}{23}[/tex]


Related Questions

Find the square roots of 169. Then find 169 squared

Answers

Answer:

1. 13

2. 28561

Step-by-step explanation:

Answer:

The other guy said both but i know that the square root of 169 is 13!

Step-by-step explanation:

Brainlist?

Hope this helps!

Please help me and actually give me the answer please

Answers

Answer:

Coin flip: 29 times

Blue spinner: 15 times

Standard cube: 18 times

Step-by-step explanation:

50% chance of head/tails, 58 x 0.5 = 29 times it will probably land on heads

60 spins/4 colors = 15 times likely each color

1,3,5 are odd, out of 6 numbers on a cube, so 50% chance, 36 x 0.5 = 18 times

2x³ + 4x = 3
has a solution between 0 and 1

Answers

Find the solution by graphing the given statement. Split it up to two equations
Y = 2x^3 + 4x and Y = 3.

Graphing it should you (0.627, 3) like the image below

A standard six-sided die is rolled, and P is the product of the five numbers that are visible. What is the largest number that is certain to divide P?
A. 6 B. 12 C. 24 D.14 E.720

Answers

The largest number which certain to divide P is 12. The correct option is B.

The product of all six numbers of the six-sided die is 6! = 720.

The products of numbers which can be visible are:

720 / 1, 720 / 2, …, 720 / 6.

In this case, the answer is the largest common divisor, that is:

720 / L

where L = the least common multiple of {1,2,3,4,5,6}.

So, it is clear that L = 60.

Thus, the answer is:

= 720 / L

= 720 / 6

= 12

Hence, the largest number which certain to divide P is 12, it is option B.

What is the largest number in the world?

A Googolplex is studied to be the largest number in the world. It is stated as 10^googol. The number 10^googol can also be written in the exponential format which will equal 10^10^100. When writing the number googol in normal number writing format, the probability of losing count is very high. Thus, it is more convenient to write it in the form of exponent and powers.

The number googolplex is so extremely large which is unimaginable to be expressed in number writing format. Hence, the number remains a concept as it is of no use in mathematics for basic calculations.

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6. Check whether the following numbers are perfect square or not, by expressing each as the sum of
odd numbers
a. 91
b. 196
Plz help me

Answers

I think the answer is A I hope you have a wonderful day
B. 196

Hope this helps :))

Priya has planted a garden shaped like a right triangle. One leg of the triangle is 5 meters long, and the triangle formed by it and the hypotenuse is 50 grades. If Priya wants to build a fence around her garden, how many meters of fence will she need?

Answers

Answer:

Perpendicular = 6 meter (Approx.)

Length of fence required = 18.81 meter

Step-by-step explanation:

Given:

One side of triangle = 5 m

Angle with side and hypotenuse = 50°

Find:

Other sides

Length of fence required

Computation:

Using trigonometry function;

Tanθ = Perpendicular / Base

For 50° angle , 5 m is base

Tan 50 = Perpendicular / 5

1.1917 = Perpendicular / 5

Perpendicular = 5.9585

Perpendicular = 6 meter (Approx.)

Hypotenuse = √Perpendicular² + Base²

Hypotenuse = √6² + 5²

Hypotenuse = √36 + 25

Hypotenuse = √61

Hypotenuse = 7.81 meter (Approx.)

Length of fence required = 5 + 6 + 7.81

Length of fence required = 18.81 meter

need help quickly
The polygons are similar. x = ___ Write your answer as a decimal

Answers

Answer:0.23

Step-by-step explanation:

-2 1/3 - (-5) = ? can someone please help me ty!

Answers

Answer: 8/3

Step-by-step explanation:

Answer: I THINK ITS THE SENCOND ONE

Step-by-step explanation:

There are 30 markers in a bag. There is at least 1 red marker among any 12 randomly selected markers, and there is at least 1 black marker among every 20 randomly selected markers. How many red markers are in the the bag?

Answers

Answer:

at least 2 red markers are in the bag

Step-by-step explanation:

1/12=.0833333333

"" times 20 = 1.66666666

brainliest?

Answer:
the estimate is atleast 2 markers are in the bag

Step-by-step explanation:

The table below shows information about how many fans there were at two
football matches in a local tournament.
What is the difference between the number of away fans at the semi-final and at
the final?
Semi-final
Final
Total number of fans
250
400
Ratio of home fans
to away fans
6:4
7:3

Answers

The fans at the semi final is less than the fans at the final .

What is the away goal rule in FIFA?

The implementation of the away goals rule makes any goals scored away from home effectively count twice when the scores are tied, as is customary in matches with home and away legs, such as the knockout stage of the Champions League.

In the UCL, do away goals still count?

Champions League and Europa League, two of its premier club championships, starting in the 2021–22 season.

Semi final : 250*4/6+4 = 100

Final : 400*3/7+3= 120

Hence, The fans at the semi final is less than the fans at the final .

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if the minimum charge of 175 calls is Rs 180 and Rs 1.50 per calls for additional calls then find the cost of calls including the charge of TSC 10% and VAT 13% as the former reading the total calls a land line phone is 5577 and the present reading 7577.Also,find the amount of payment including 20% fine​

Answers

The total amount of payment for calls is Rs 648

How to find the total amount for payment

From the problem, the following information is deduced to help solve the problem

the minimum charge of 175 calls is Rs 180 and Rs 1.50 per calls for additional calls

The total call reading

= present reading - former reading

= 7577 - 5577

= 2000

the number of 175 calls in 2000

= 2000 / 175

= 11 3/7 approximately 12

Total cost of calls

175 calls = Rs 180 + Rs 1.50 * 12

= 180 + 1.50 * 12

= Rs 180

Adding other charges to Rs 180

= 180 * 1.1 + 180 * 1.3 + 180 * 1.2

= Rs 648

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According to your graphing calculator what is the approximate solution to the trigonometric inequality tan(x/4)<1/5 over the interval 0<= x<=2pi radians 
0<=x<0.7896
0<=x<0.9799
0<=x<0.9870
0<=x<1.2249

Answers

The graph of tan(x/4) < 1/5 over the interval 0<= x<=2pi radians is attached. An approximate solution to the trigonometric inequality tan(x/4)<1/5 over the interval 0<= x<=2pi radians is 0 <= x < 0.7896.

y = 1/5 is a horizontal straight line parallel to x-axis.

Plot of tan(x/4)<1/5 over the interval 0<= x<=2pi radians is attached. The shaded region is the solution.

tan(x/4) < 1/5

Taking tan inverse on both sides

tan⁻¹(tan(x/4)) < tan⁻¹(1/5)

x/ 4 <  tan⁻¹(1/5)

Multiplying by 4 on both sides

x < 4tan⁻¹(1/5)

x < 0.7896

Applying the limits of intervals

0 <= x <= 2pi ≈ 6.28

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PLEASE HELP!! I will give brainliest!! New update because the last one had gore posted in it. Please report it is you see that, I’m so sorry.

Drag the key features to the correct location on the image.

Each key feature can be used more than once, but not all key features will be used.
Which key features are present in these three functions?

Answers

Answer:

Step-by-step explanation:

hope this helps

can someone help me with this :/

solve using the quadratic formula: x=(-b +/-sqr(b^2 - 4ac)/(2a)
2x² + x - 1 = 0


answers in (pic)



Answers

Answer:

2x² + x - 1 = 0

a= 2 b= 1 c= -1

x = [ -b +- sqr rt( b^2 -4ac) ] / 2*a

x = -1 +- sqr rt (1 - 4 *2*-1) / 4

x1 = [ -1 + (sqr rt (1 +8)) / 4

x1 = ( -1 + sqr rt (9)) / 4

x1 = (-1 + 3) / 4

x1 = .5

x2 = (-1 -3) / 4

x2 = -4 / 4

x2 = -1

And to check that answer: http://www.1728.org/quadratc.htm

Step-by-step explanation:

Ryan has 1/2 pound of chocolate. He divides it into 4 equal portions. Write the amount of chocolate, in pounds, in each portion

Answers

Answer:

1/8

Step-by-step explanation:

Ryan has 1/2 pound of chocolate

He divided into 4 portions

Therefore the amount each of them will get can be calculated as follows

1/2 ÷ 4

= 1/2 × 1/4

= 1/8

Hence each portion Is 1/8

Find the value of x.
8 20 36​

Answers

Answer:

4.4

Step-by-step explanation:

do a ratio, so 8:36 = x:20

36/8=4.5

4.5x=20

x=4.4

Anybody can help me with this ?

Answers

I was just learning that in class. It doesn’t make sense

Answer:

Because f(x)=y, begin by changing f(x) to the y-value, getting y=2x-4. Because we are determining the inverse of the equation, this means that the x and y-value should be switched, getting x=2y-4. Now that we're trying to isolate y, move 4 to the other side to get x+4=2y. Divide by 2 on both sides to get y=[tex]\frac{1}{2}[/tex]x+2. Now, we substitute y for f(x), but this time we put [tex]f^{-1}[/tex](x), because it's the inverse of f(x).

Here are the steps in order:

y=2x-4

x=2y-4

x+4=2y

x/2+4/2=2y/2

y=1/2x+2

f^-1(x)=1/2x+2

Four expressions are show below. Which expressions would give the same answer? Select TWO that apply?* Expression A: -2.43 + 1.57 Expression B: -2.43 -1.57 Expression C:-2.43 + (-1.57) Expression D: -2.43 - (-1.57) A and B A and C A and D Band C Band D C and D​

Answers

Answer:

A. 2.43 kg x 1000 g/1 kg

Step-by-step explanation:

i dont really know how to explain it

but yea its A

Answer:

Same as the other person, cant explain much, im a horrible explainer, even if i did explain it would be false

Step-by-step explanation:

Its A

wave hits an object as shown.

A vertical line with Medium 1 to the left and Medium 2 to the right. An arrow from the left reaches the line. An arrow starts from the same point on the line and goes right at a different angle.

Which kind of wave interaction is shown?

absorption
diffraction
refraction
reflection

Answers

Answer:

Refraction

Step-by-step explanation:

Since the line bends (and this can apply to light too), the line refracts, or changes the angle of direction.

Answer:

absorption

diffraction

refraction

reflection

Step-by-step explanation:

What is parallel lines Class 7?

Answers

Parallel lines are those lines that lie in the same plane and never intersect each other. They are equidistant from each other at every point and have the same slope.

Two lines are stated to be parallel when they do not meet at any point in a plane. This means that lines which do not have a common intersection point and never cross paths with each other are parallel to each other. The symbol used for representing parallel lines is ‘||’.

Two parallel lines are represented as:

AB║CD

That is line AB is parallel to CD.

The perpendicular length between the two parallel lines is always constant.

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Find the Surface Area of the figure below

Answers

Answer:

132 [tex]cm^{2}[/tex]

Step-by-step explanation:

Triangle formula is 1/2 bh (4x3/2) is 6 (4 triangles)=24

Base is 6x8=48

sides are 6x5=30 then multiply by 2 of the sides =60

add all together

Mo played 30 games of chess. He won 18 of these games. (b) He played 20 more games. He had then won 64% of all of his games. How many of the 20 games did he win?

Answers

Answer:

14

Step-by-step explanation:

First of all he played a total of 50 games which he won 32 of due to 64% of 50 being 32 then you subtract the 18 games he won at the start to get 32-18=14

would be amazing if you marked this as brainliest

Answer:

Total no of games played =50

percentage of the win game=64%

total no of won games =64/100×50

=32

no of games he won of the 20 =32-18

=14

so he won 14 games from 20

hope it helps

What is the measure of W the parallelogram shown?
32°

O A. 155°
O B. 32°
O C. 58°
O D. 148°

Answers

Answer:

148 degrees

Step-by-step explanation:

For a parallelogram, angles on the same side sum up to be 180

what this simply means is that they are supplementary

Mathematically, we have it that;

X + W = 180

W = 180 - X

W = 180 -32

W = 148 degree

Graph each equation.
12. y + 3 = 2(x - 1)

Answers

Given line in point-slope form:

y + 3 = 2(x - 1)

Point-slope form is:

y - y₁ = m(x - x₁), where m - slope, (x₁, y₁) is the point on the line

We know that to graph a line it is enough two have two points.

One of the points is (x₁, y₁) = (1, - 3).

Find one more point, when x = 3:

y + 3 = 2(3 - 1)y + 3 = 4y = 1

The point is (3, 1).

Plot and connect these two points to get the line.

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

Answer A

Step-by-step explanation:

The coefficients of the x terms are 1, 4 and 7.  Thus, the discriminant, b^2 - 4ac, is 16 - 4(1)(7) = -12 = -3·4.  Because the discriminant is negative we know that there are two unequal, complex roots.

                               -4 ± i√3√4         -2 ±i√3

The roots are x = --------------------- =

                                       2              

This is Answer A.

A magazine cover measures 28 cm by
22 cm. The title uses one-quarter of the area of
the cover. How much area is needed for the
title?

Answers

i don’t know got a message but she’s like actually i

What is the product of 3.7 x 10^3 and 1.4 x 10^6 expressed in scientific notation?

Answers

Answer:

[tex]5.18 *10^{9}[/tex]

Step-by-step explanation:

3.7 * 1.4 = 5.18

[tex]10^{6} *10^{3} = 10^{9}[/tex]

Answer:

3.7 x 10^3 and 1.4 x 10^6 = 1403700 = 1.4037 × 10^6

Step-by-step explanation:

= 1.4037 × 10^6

(scientific notation)

= 1.4037e6

(scientific e notation)

= 1.4037 × 10^6

(engineering notation)

(million; prefix mega- (M))

= 1403700

(real number

What type of angles are these???

Answers

Answer:

Alternate exterior

Step-by-step explanation:

1 and 11 are on different sides which makes them alternate and they are both on the outside

I need help pls answer ASAP

Answers

The value of x in the triangle WXY is 19 degrees

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

How to determine the value of x

From the question, we have the following parameters that can be used in our computation:

The triangle XYZ and the line YZ such that lie YZ and XW are parallel lines

Using the above as a guide, we have the following:

∠ZYW = ∠XWY (alternate angles are equal)

∠XWY = 2x (Given)

So, we have

∠XWY + ∠XYW + ∠YXW = 180° (the sum of angles in a triangle)

Substitute the known values in the above equation, so, we have the following representation

2x + (3x - 5) + 90 = 180

Open the brackets and solve

5x - 5 = 90

Evaluate the like terms

5x = 95

Divide both sides by 5

x = 19°

Hence, the value of x is 19°

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Q
R
S
T
U
0
What can we say about V?
Choose all answers that apply:
A
V=U
B В
V = -(-V)
V is the opposite

Answers

Answer:

v= -(-v)

Step-by-step explanation:

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