if tan theta=3/4, find sin theta

Answers

Answer 1

Answer:

sin(theta)=3/5

Step-by-step explanation:

tan(theta)=3/4

sec^2(theta)=1+tan^2(theta)=1+(3/4)^2=1+9/16=(16+9)/16=25/16

sec(theta)=square root of(25/16)=5/4

sec(theta)=1/cos(theta)=5/4

cos(theta)=4/5

sin^2(theta)=1-cos^2(theta)=1–16/25=(25–16)/25=9/25

sin(theta)=3/5

So

sec(theta)=5/4

sin(theta)=3/5


Related Questions

Suppose that Fx) = x3 and G(x) = -2x2. Which statement best compares the
graph of G(x) with the graph of F(x)?

Answers

Answer:

D

Step-by-step explanation:

you can just find the value of y and try some number of x

i.e. if x = 0, both of them will be 0

x = 1

G(x) result is -2

F(x) result is 1

x= -1

G(x) result will be 2

F(x) result is -1

so from these we can prove that G(x) is bigger graph than F(x) but flip vertically by y axis

Point-Slope form of the line that goes through (2, 7) with a slope of -4, please!

Answers

Answer:

y-7= -4(x-2)

Step-by-step explanation:

Y-Y1=M(X-X1) - point slope form equation.

Plug in each coordinate into their coresponding places, X1, Y1 and M (the slope).

Help idk how to do it

Answers

Answer:

140

Step-by-step explanation:

Angle 4 is congruent to angle 2 by corresponding angles postulate.  Therefore, angle 2 is also 40.  Angle 2 and angle 3 are supplementary, or add up to 180 because they are on a straight line.  140 and 40 add up to 180 so angle 3=140 degrees

If the rectangle below has an area of 32 sq. Units, what is the area of thr triangle?

Answers

Answer:

16 units

Step-by-step explanation:

the formula of a triangle is hbb/2

1:01+0.25.4+32=

help 10 points​

Answers

Answer:

55 39

Step-by-step explanation:

Evaluate: g(4):g(x) = 8x2 + 9x - 7

Answers

Answer:

g(4) = 157

Step-by-step explanation:

g(x) = 8x^2 + 9x - 7

Let x  =4

g(4) = 8 * 4^2 +9*4 -7

       =8*16 +36 - 7

        =128+36-7

        =157

Answer:

157

Step-by-step explanation:

g(x)=

[tex]{8x}^{2} + 9x - 7[/tex]

g(4) =

[tex]8( {4})^{2} + 9(4) - 7 \\g(4) = 8 \times 16 + 36 - 7 \\ g(4) = 128 + 29 \\ g(4) = 157[/tex]

Plz I need URGENT help!
What did you find as the mean average temperature in New York City and San Francisco?

Answers

Answer:

The average temperatures were:

New York City: 63San Francisco: 64

Step-by-step explanation:

Remember that, the average is obtained in the form below:

Average = The sum of all the values / the number of values.

In this case, the number of values is 12 because are the number of months in the year. The sum of values is shown below for each case:

Average temperature in New York City = (39 + 42 + 50 + 61 + 71 + 81 + 85 + 84 + 76 + 65 + 55 + 47) / 12 = 63. Average temperature in San Francisco = (57 + 60 + 62 + 63 + 64 + 67 + 67 + 68 + 70 + 69 + 63 + 58) / 12 = 64.

I don't add units because the table doesn't specify if they are Celsius, Fahrenheit, or others.

Find the product of (3^6)(3)(3^5) Express your answer using exponents

Answers

Answer:

3^12

Step-by-step explanation:

When multiplying the same number with different exponents you have to add the the exponents. For example:

[tex]a^x + a^y = a ^{x+y}[/tex]

So (3^6)(3)(3^5) or (3^6)(3^1)(3^5) = 3^(6+1+5) = 3^12

Answer:

3^12

Step-by-step explanation:

. What is the probability of choosing an ice cream cone?


A) 5/14
B) 2/7
C) 3/14
D) 1/7

Answers

Answer:

2/7

Step-by-step explanation:

There are 14 things to choose from

4 of them are ice cream cone

P ( ice cream) = number of ice cream/ total

                       =4/14

                       =2/7

Help Please, Fast. simple

Answers

I think a is the best answer.

Identify an angle that's congruent to ∠PQR in the given figure. answers : A) ∠3 B) ∠1 C) ∠4 D) ∠2

Answers

Answer:

The answer should be A)3

why:because angles 1 and 4 are much smaller and angle 2 is a 90 degree angle

Find the area of circle x that has a radius XY at coordinates X = (0,2) and Y = (3,2). Round to the nearest hundredth place.

Answers

Answer: 28.27

Step-by-step explanation:

Area of circle = pi * r^2

Subtract either the x coordinates or y coordinates by each other to find the length of the radius. In this case, the x coordinates have a distance when you subtract.

2 - 2 = 0

3 - 0 = 3

The radius is 3

3^2 = 9

So, the area of the circle is 9 * pi

(9)pi = 28.27433388230814

To the nearest hundredth, the area of the circle is 28.27

I NEED HELP PLEASE !!!
What is the value for x?
Enter your answer in the box.
x =

Answers

Answer:

8

Step-by-step explanation:

because we know its an isosceles triangle angle A and C will both be the same and since we know A = 69 C will also be 69. we also know that angles in a triangle add to 180 so take away the two 69s from the 180 to get 42

then we work backwards if its 5x + 2 then we need to do 5x - 2 to get 40 then divide it by 5 to get your answer 8!

(sorry if the explanation doesnt make sense )



Above are two different models of the same triangular-shaped garden. If the height of the model on the left is 15 cm, what is the height of the model on the right?

Answers

Answer: The height of the model on the right is 22.5 cm .

Step-by-step explanation:

We can see that , the given different models of the same triangular-shaped garden are similar.

For the first model 1 cm = 3.75 m

whereas for the second model 1 cm = 2.5 m

Now , the constant rate of proportion for this (k) = [tex]\dfrac{3.75}{2.5}=\dfrac{375}{250}=1.5[/tex]

Now , if height of the model on the left is 15 cm , then the height of the model on right = 15 x k

= 15 x 1.5

= 22.5 cm

Hence, the height of the model on the right is 22.5 cm .

Answer:

30 cm

Step-by-step explanation:

Because banks are often unwilling to loan money to a business in its early
stages of development, startup business have a difficult time doing which of
the following?
A. Securing venture capital
B. Getting debt financing
C. Finding an angel investor
D. Conducting an initial public offering​

Answers

Answer:

A. Securing venture capital

Answer: getting debt financing

Step-by-step explanation:

Which figure shows a line of reflectional symmetry for the letter T

Answers

Answer:

Image linked*

Step-by-step explanation:

Reflectional symmetry states  basically that if an object is bisected or cut in half into two equal part the sides will be proportional In This case T will be cut vertically down the center as shown with the blue arrow

Answer:

c

Step-by-step explanation:

I need help finding out what properties were used in this equation, 4(x+5)=9x+4x-34

Answers

Answer:

Step-by-step explanation:

4(x+5)=9x+4x-34

4x + 4*5 = 9x + 4x - 34    {distributive property}

4x + 20 - 4x = 9x + 4x - 34 - 4x  {subtraction property of equality}

20 = 9x - 34  

20 + 34 = 9x - 34 + 34  {Addition property of equality}

54 = 9x

54/9 = 9x/9  {division property of equality}

6 = x

x = 6

Which point on the number line best represents the approximate value of
√23

Answers

Answer: Q

Step-by-step explanation: the 23 thing simplified would be 4 and a bunch of decimals. Q is the answer on four, and the 23 thing is closest to four, so Q would be the correct answer.

Number lines are used to represent numbers at regular interval.

[tex]\sqrt{23}[/tex] is represented by point Q

The number is given as:

[tex]\mathbf{Number = \sqrt{23}}[/tex]

Take square root of 23

[tex]\mathbf{Number = 4.79583152331}[/tex]

The above equation means that: the square root of 23 is between 4 and 5, and it is closer to 4.5 than 5.

The point on the number line that represents the above highlight is point Q.

Hence, [tex]\sqrt{23}[/tex] is represented by point Q

Read more about number lines at:

https://brainly.com/question/19943246

Compare Mr. Nicholson’s potential income as an employee for the company for three years and nine years. Should time play a factor in his decision regarding contractual salary increases? Use complete sentences to explain your answer.

Answers

Answer:

Yes, time play a factor in his decision, because after 3 years, option a is better, but after 9 years, option b is better.

Step-by-step explanation:

The following information is missing:

Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual  raise of $3,500 or b) an annual raise of 5% of his current salary.

The function that describes each situation is:

a) f(x) = 60,000 + 3,500*(x-1)

b) f(x) = 60,000*1.05^(x-1)

where x represents years and f(x) his salary.

Mr. Nicholson’s potential income for three years and nine years for each situation are:

a) f(3) = 60,000 + 3,500*(3-1) = $67,000

f(9) = 60,000 + 3,500*(9-1) = $88,000

b) f(3) = 60,000*1.05^(3-1) = $66,150

f(9) = 60,000*1.05^(9-1) = $88,647

Convert the decimal to a percent 0.625

Answers

Answer:

6 25/100

reduces is 6 1/4

Step-by-step explanation:

Graph y=3/4 x + 2. What is the slope?

Answers

Answer:

3/4

Step-by-step explanation:

The given equation is in the form of y=mx+b

This is where m is the slope, and b is the y intercept.

This said, the slope of the equation is 3/4.

I will attach an image of the graph. I put the equation in a graphing calculator.

If you need to graph by hand, first plot the y intercept, (0,2) and then use the slope to find more points. Then, connenct the points with a ruler.

The image you attached is not the graph of y=3/4x+2, it is the graph of y=5.

It's slope is equal to 0.

NEED ANSWERED ASAP please find the volume of the cone and cylinder. ​

Answers

Cone volume= 285 ( the radius would be 5.5)
Cylinder volume =95 same radius as well

Answer:

volume of cone is 285

volume of cylinder is 95

Step-by-step explanation:

help me help me please

Answers

Answer: 36 square feet

Step-by-step explanation:

Answer- 36 square feet hope it helps

WILL MARK BRAINLIEST!!!!!

Answers

For this question, your answer would be A ! Hope this helps ! Brainliest would be appreciated :)

Answer:

B

Step-by-step explanation:

Given

n ≥ - 5

The symbol means that n can equal - 5 and values greater than - 5

Values greater than - 5 are to the right of - 5 on the number line.

- 4.5 and - 3 are to the right of - 5, thus greater than - 5

The set of values which make the inequality true are

{ - 5, - 4. 5, - 3 } → B

I need help on this.

Answers

Answer:

On the second step there is a mistake. You have to multiply 2 times 2 before you add the five

Answer:

See below;

Step-by-step explanation:

We are given the following;

5 + [ 2 * 2 + 5 ], ⇒ add 2 and 5

5 + [ 2 *  7 ], ⇒ multiply 2 by 7

5 + 14, ⇒ combine like terms

Solution; 19

Now as we can see from the first ⇒ second step the process as to simplify the expression 5 + [ 2 * 2 + 5 ] further, was by adding 2 and 5. Of course by PEDMAS, it would be that multiplication takes place before that of addition, so that it should have been that 2 was multiplied by 2 first!

Solution below;

Steps |                            |

          |  5 + [ 2 * 2 + 5 ]  |

  X     |    5 + [ 2 *  7 ]     |

          |         5 + 14         |

          |            19            |

What are the dimensions of the vertical cross section of the right rectangular prism? Note that the figure is not drawn to scale.
Which of the following two-dimensional figures shows the dimensions of the vertical cross section?
ОА.

Answers

Answer:

option A

Step-by-step explanation:

From the picture, we can see that:

The height of the vertical cross section is the same as the height of the prism, that is, 4 inches.The base of the vertical cross section is the same as the width of the prism, that is, 8 inches.

Please Help Me! Thank You!

Answers

For #2 an easier way to solve problems like this is to move the decimal point to the left twice in this case it’ll be 0.15 instead of 15% now you multiply 35 by 0.15 which is 5.25 now you add the total price and the tip 35+5.25=40.25 and there’s your answer

Find the area of the circle... Round to the nearest tenth and include units in your answer

Answers

Answer:

452.4 cm

Step-by-step explanation:

the formula for the area of a circle is A = pi r^2


Find the equation of the line through the point (6, -1) that is perpendicular to the line with equation y =1/2x-12

Answers

Answer:

y + 1 = -2/1 (x - 6)

Step-by-step explanation:

The above equation is written in point slope from. To find the slope of a line perpendicular to another line all you have to do is find the opposite reciprocal to the slope of the original line. The original line's slope is 1/2, the reciprocal is 2/1 and to create the opposite reciprocal you have to change the sign of the slope, so the new slope is -2/1. To finish the rest of the equation you plug in the points given to you in the question.

Answer:

Step-by-step explanation:

First, since the line is perpendicular to the given one, the slopes are negative reciprocals. The slope of the equation we must write is -2.

Now, we can set up point slope form:

y-y1 = m(x-x1)

y + 1 = -2(x - 6)

Now, we can change that to slope intercept form:

y + 1 = -2(x - 6)

y + 1 = -2x + 12

y = -2x -11

Hope this helped :)

In the United States, the average public school teacher currently earns an annual salary near $55,202. Reported national average salaries for the last six decades are listed below.

Year National Average

Teachers’ Salary
1960 $4,995
1970 $8,626
1980 $15,970
1990 $31,367
2000 $41,807
2010 $55,202
Determine the average mean salary for the six decades, 1960 – 2010.

$29,933.50
$25,268.50
$31,593.40
$26,327.80

Answers

For the first part 55,202+41,807+31,367+15,970+8,626+4,995 and that equals 157967$ now you have to divide that amounts by the total number of salaries so 157967 divided by 6 that equals 26327.83$
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