please help!!
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = 9/10, find sin 0.
sin 0 = [ ? ] / [ ? ]
Simplify the fraction

Please Help!!The Pythagorean Identity States That:(sin X)2 + (cos X)2 = 1Given Cos 0 = 9/10, Find Sin

Answers

Answer 1

Answer:

[tex] sin \theta = \frac{\sqrt {19}}{10} [/tex]

Step-by-step explanation:

[tex] ( \sin \theta) ^{2} + ( \cos \theta) ^{2} = 1 \\ \\ \therefore \:( \sin \theta) ^{2} + { \bigg( \frac{{9} }{10} \bigg)}^{2}= 1 \\ \\( \sin \theta) ^{2} + \frac{81}{100}= 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{19}{100} \\ \\ \sin \theta = \sqrt{\frac{19}{100} } \\ \\ \sin \theta = \frac{\sqrt {19}}{10} [/tex]


Related Questions

I don't see how to do this...............................

Answers

Step-by-step explanation:

So visually youre given the function

for h(-4) it can also be written as h(-4) = y

what do you get for y when you substitute - 4 for x?

All you have to do is trace the line until you get to x=-4 and then find the y that corresponds to it (looks like around y= - 1)

for the other one h(x) = - 5

what do you get for x when you substitute - 5 for y?

what you do is similar, trace the line along the y-axis and see what x-value you get for y =-5

Answer:

3 and x = 0

Step-by-step explanation:

To find the value of h(- 4)

Locate x = - 4 on the x- axis, go vertically up to meet the graph at (- 4, 3 )

Then the value of h(- 4) = 3

For h(x) = - 5

Locate y = - 5 on the y- axis. This is the point (0, - 5)

then the value of x for which h(x) = - 5 is x = 0

A bag contains 9 marbles: 3 are green, 4 are red, and 2 are blue. Teresa chooses a marble at random, and without putting it
back, chooses another one at random. What is the probability that the first marble is blue and the second is green? Write
your answer as a fraction in simplest form.

Answers

Answer:

Probability[First marble blue, second is green without replacement] = 1/12

Step-by-step explanation:

Given:

Number of green marble = 3

Number of red marble = 4

Number of blue marble = 2

Total marble = 9 marble

Find:

Probability[First marble blue, second is green without replacement]

Computation:

Probability of an event = Number of favorable outcome / Number of total outcome

Probability[First marble blue] = 2 / 9

Probability[second is green] = 3 / [9-1]

Probability[second is green] = 3 / 8

Probability[First marble blue, second is green without replacement] = Probability[First marble blue] x Probability[second is green]

Probability[First marble blue, second is green without replacement] = [2/9][3/8]

Probability[First marble blue, second is green without replacement] = 6 / 72

Probability[First marble blue, second is green without replacement] = 1/12

The measure of an angle is 2.8.what is the measure of its complementary angle

Answers

Answer:

87.2º

Step-by-step explanation:

Complimentary angles total 90º

c + 2.8 = 90

c = 90 - 2.8

c = 87.2º

Answer:

87.2°

Step-by-step explanation:

When angles are complementary, it means that they both add up to 90°.

In this case, one of the angles measures 2.8°.

So, to find the other one, we subtract 2.8 from 90.

90 - 2.8 = 87.2

The measure of the complementary angle is 87.2°

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

I need answers asap please!!!:)​

Answers

Answer:

70 mb

Step-by-step explanation:

264 picture = 528 mb

35 pictures = ?

Solve for one picture:

Variable x = mb per 1 picture

264/528 = 1/x

Cross multiply:

264 × x = 528 × 1

264x = 528

x = 528 ÷ 264

x = 2

Each picture takes up 2 mb.

Multiply the number of pictures per 2 mb:

35 pictures × 2 mb

70 mb total

4. If f(x)=2x+3(x+4)+5 then f(6)=?

Answers

Answer:

f(6)=42

Step-by-step explanation:

We know that the equaiton is f(x)=2x+3(x+4). So that means when it is f(6), we plug in 6 into all of the x. Therefore, the equation will be f(6)=2(6)+3(6+4). We combine like terms to get f(6)=12+3(10). We do 3x10 which is equal to 30. f(6)=30+12. 30+12=42. f(6)=42. Therefore, f(6)=42.

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Answer: 47

Step-by-step explanation:

That just means replace the x’s with 6 in the equation. So 2*6+3(6+4)+5. 6+4 is 10, 2*6 is 12. So the equation is now 12+3(10)+5. 3*10 is 30. 12+30+5=47.

Lupe needs to make a poster that is 2 m by 4 m for the big game. The cost of the paper is $1.75. Later she needs another poster with dimensions 1 m by 2 m. What is the paper for this poster likely to cost

Answers

Answer:

$0.42

Step-by-step explanation:

Given data

Dimension

Length=4m

Width=2m

Cost=  $1.75

Area= 4*2= 8m^2

Cost per area=1.75/8

Cost per area=$0.21 per m^2

The new poster's dimension

Lenght =2m

Width= 1m

Area= 2*1= 2m^2

Hence if a square meter cost $0.21

Then 2 square meter  will cost x

cross multiply

2*0.21=x

x=$0.42

Hence the new poster will cost $0.42

r s + 14s when r=6 and s=1/4

Answers

Answer: 5

Explanation:
Basically you just change the letter for the number since R equals 6 then in the equation it would be 6 instead of R. Then for S, S would equal 1÷4 which equals 0.25. Then you plug in the numbers into your equation so look something like this 6 x 0.25 + 14(0.25) and all that together equals 5.

Hope this helped :)

Help fill in the blanks ?

Answers

The answer is -3x and 24 hope it helps
Yeah the answer is -3x and 24

The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is What is the value
of b?
-18
-9
9
18

Answers

Answer:

B.) -9

Step-by-step explanation:

The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

How to calculate the axis of symmetry of a function?

The standard equation of a function in vertex form is given as:

f(x) = (a + x)^2 + h


Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:

3/2= -b/2a

-b/2(3)=3/2

-b/6=3/2

Cross multiply

-2b = 18

-b=9

Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9

Learn more on axis of symmetry here: https://brainly.com/question/21191648

What is the solution to the equation 3 + = 4? y = y = y = 1 y = 4

Answers

Answer:

y = 1

Step-by-step explanation:

3 + y = 4

y = 1

Answer:

Step-by-step explanation:

I think its y=1 but I'm not sure

Hope this helps

Have a good day

Pls tell me if I'm wrong

HELPPPPPP
solve the equation for x

2/3x-1/9x+5=20

Answers

Answer:

x=27

Step-by-step explanation:

You want to isolate the variables so you subtract 5 from both sides. Therefore the equation will be 2/3x-1/9x=15. You want to take away the fraction because no one likes fractions. You have to multiply everything by 9. Therefore, the equation will be 6x-x=135. 5x=135. You want to isolate x so you have to divide each side by 5. x=135/5. Simplify to get x=27.

If this has helped you please mark as brainliest

I need answer immediately!!!!!!

Answers

Answer:

y = -2/3x - 5

Step-by-step explanation:

Shirts are $12 each and Mary has no more than $48 to spend.How many shirts can she purchase

Answers

Answer:

4 shirts

Step-by-step explanation:

$48/$12= 4 shirts

Hope this helped! :)

The slideat the playground has a height of 6ft. The base of the slide measured on the ground is 8ft. What is the length of the slide?

Answers

Answer:

10 ft

Step-by-step explanation:

The length of the slide can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

6² + 8² =

36 + 64 = 100

c = √100

c = 10

Which of the following statistics measures the variability of a distribution?
A) Mean
B) Median
C) Mode
D) Range

Answers

Answer:

B

Step-by-step explanation:

B is the answer .

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

[tex]{\boxed{\boxed{\tt { D. \ Range}}}} \ [/tex]

Step-by-step explanation:

The mean, median and mode are central tendency measures. Statisticians use range to describe the amount of variability or spread in a set of data.

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Answers

3 its basically saying that those two right angles are the same so look at the side length youre looking for

It rains 7 out of every 10 days.

What is the chance of rain on one day?

Answers

Answer:

if it rains 7 out of 10 days the chance of rain for one day is 70%

Step-by-step explanation:

Kevin is rolling two dice together and adding them up. Which sums should come up the most frequently?

Answers

Answer:

7 occurs most frequently.

Step-by-step explanation:

If we roll two dice, we do get sample space as

(1,1) = 1+1 =2        (4,1)=4+1=5

(1,2)= 1+2 =3        (4,2)= 34+2=6

(1,3)= 1+3=4         (4,3)= 4+3=7

(1,4)=1+4=5          (4,4)= 4+4=8

(1,5)=1+5=6          (4,5)= 4+5 =9

(1,6)=1+6=7           (4,6)= 4+6=10

(2,1)= 2+1=3          (5,1)= 5+1=6

(2,2)=2+2=4         (5,2)=5+2 =7

(2,3)= 2+3=5        (5,3) =5+3=8

(2,4)=2+4=6         (5,4) =5+4 =9

(2,5)=2+5=7          (5,5)=5+5=10

(2,6)=2+6=8          (5,6)=5+6=11

(3,1)=3+1=4            (6,1)= 6+1=7

(3,2)=3+2=5          (6,2)=6+2=8

(3,3)=3+3=6           (6,3)=6+3=9

(3,4)=3+4=7           (6,4) =6+4 =10  

(3,5) =3+5=8          (6,5)=6+5=11

(3,6)=3+6=9            (6,6)=6+6=12

2 occurs for 1 time

3 occurs for 2 times

4 occurs for 3 times

5 occurs for 4 times

6 occurs for 5 times

7 occurs for 6 times

8 occurs for 5 times

9 occurs for  4 times

10 occurs for 3 times

11 occurs for 2 times

12 occurs for 1 time.

So, 7 occurs most frequently.

Two similar cylinders have radii of 15 inches and 6 inches. What is the ratio of the surface area of the small cylinder to the surface area of the large cylinder.

Answers

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2[/tex]

The ratio of surface areas of two cylinders,

[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]

Hence, the required ratio is 4:25.

-7n = 84 round to the nearest hundredth​

Answers

Answer:

n=-12

Step-by-step explanation:

Divide 84 by -7 and you get -12

4,192 ÷ 3 explination

Answers

Answer:

[tex]1397\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

1,397.33333

Step-by-step explanation:

4,192/3 is 1,397.33333 because 3 goes into 4,192, 1,397 times fully and a third more (1/3) to fit.

Ravi worked 6 days for a total of 64.2 hours. If he worked the same number of hours each day, how many hours did he work in a day

Answers

Answer:

10.7 hours per day

Step-by-step Explanation:

The total is 64.2.

If Ravi worked for 6 days and worked the same amount of hours each day then you do:

64.2 hours ÷ 6 days = 10.7 per day

Hope this helps!-Finny

A farmer has 200 feet of fencing to use for a chicken pen. He wants the width of the pen to be 27 feet. What will the length be?​

Answers

Answer:

Length will be 173

Step-by-step explanation:

ASAP!!!!
In a class of 30 students, 17 have a brother and 14 have a sister. There are 8 students who have a brother and a sister. What is the probability that a student chosen randomly from the class does not have a brother?​

Answers

Answer:

[tex]\frac{14}{30} = 7/15[/tex]

The probability that a randomly selected student has a brother given they have a sister is 11/30.

We have given that,

Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.

What is the formula for probability?

The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.

Since there are 30 students in total, and 11 of them have both a brother and a sister,

Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.

To learn more about the probability visit:

https://brainly.com/question/24756209

#SPJ2

I need help ASAP! 20 point
I’m the xy-plane, a line has a slope of 6 and passed through the point (0,8). Which of the following is an equation of this line?

Answers

Answer:

A)  y = 6x + 8

Step-by-step explanation:




Solve for y:
x + 2y = -8

y=-1/2x+4
y=-1/2x-4
y=-2x - 4
y=1/2x-4

Answers

Answer:

x + 2y = -8 = y = -4 - 1/2x

y= -1/2x + 4 =  y = 4

y= -1/2x - 4 = y = -4

y=-2x - 4 = y = -4

y=1/2x-4 = y = -4

Step-by-step explanation:

(x + 2y = -8 = y = -4 - 1/2x)

[tex]x+2y=-8\\2y=-8-x\\y=-4-\frac{1}{2}x\\[/tex]

Given circle Q a measure of SR = 120 degree and a radius of 9 feet, as shown below determine the arc length of SR use mathematics to explain how you determined your answer. 

Volume and circles
Help please ❤️

Answers

Answer:

Arc length SR = 18.85 ft

Step-by-step explanation:

To get the arc length, we use the formula below

theta/360 * 2 * pi * r

theta is the central angle subtended by the arc which is 120 degrees

r is the radius of the circle which is 9 ft

Substituting these values, we have

120/360 * 2 * 3.142 * 9

= 18.85 ft

The ages of eight different students in a college math class were used to make the box plot shown above. Which of the following numbers below is the median of the ages?
A. 21.5
B. 20.5
C. 22.5
D. 24.5

Answers

A. 21.5
Bc if u go to college and take a more advanced math and your 18-19 when u graduate high school and people may take a break or look for a job then apply then u would be around 21.5

A 7 character computer password is made up of 3 letters followed by 4 numbers. How many different passwords are possible?

Answers

Answer:

the answer is 456,976,000

Answer:

✅ C. 456,976,000

⬇️ i got it right

a bamboo plant grows 53 1/4 inches in 1 1/2 mouth's what is the bamboo's growth rate in inches per month​

Answers

256 inches
Explanation
I did it like 2 weeks ago
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