Find sin 0, where is the angle shown.
Give an exact value, not a decimal approximation.

Find Sin 0, Where Is The Angle Shown.Give An Exact Value, Not A Decimal Approximation.

Answers

Answer 1

Answer:

[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]

Step-by-step explanation:

Recall that in a right triangle, sine is the ratio of the opposite side to the hypotenuse:

[tex]\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

We are actually not given the opposite side in this case. However, since we know the hypotenuse and the adjacent side, we can use the Pythagorean Theorem to find the opposite side. So:

[tex]a^2+b^2=c^2[/tex]

Let a be the adjacent side and b be the opposite side. c will be the hypotenuse.

Substitute:

[tex](5)^2+b^2=(13)^2[/tex]

Solve for b:

[tex]b=\sqrt{169-25}=\sqrt{144}=12[/tex]

So, the opposite side measures 12.

Then sine will be:

[tex]\displaystyle \sin\theta=\frac{12}{13}[/tex]


Related Questions

If A [4 3 ] is a singular matrix find the
[a 3 ] value of 'a'.​

Answers

Step-by-step explanation:

If A [4 3 ] is a singular matrix find the

[a 3 ] value of 'a'.

a=4

Kumar bought some mangoes. The price of each mango () is found to be 6 more than the total number of mangoes bought by him and the total amount paid for all the mangoes is 280. Represent the situation mathematically and find the total number of mangoes bought by Kumar.​

Answers

Answer:

Price = 20, Amount = 14

Step-by-step explanation:

A = Amount of Mangoes

P = Price for 1 Mango

P = A + 6

280 = P * A

insert A+6 for P

280 = (A+6) * A

280 = 6A + A²

280=1*a^2+6*a  | Vertausche beide Seiten der Gleichung.

1*a^2+6*a=280  | quadratische Ergänzung: ergänze auf beiden Seiten (3)^2

1*a^2+6*a+(3)^2=3^2+280  | Rechne 3 hoch 2 aus.

1*a^2+6*a+(3)^2=9+280  | addiere 9 und 280

1*a^2+6*a+(3)^2=9+280  | Fasse die rechte Seite mit Hilfe der binomischen Formel zusammen.

1*(1*a+(3))^2=289  | Auf beiden Seiten Quadratwurzel ziehen.

1*a+(3)=+-*289^0.5  

1*a_1+(3)=289^0.5  

1*a_1+3=289^0.5  | Ziehe die Wurzel aus 289

1*a_1+3=17  | -3

1*a_1=14  

The total number of mangoes bought by Kumar are 14.

What is mathematical equation?

"An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values is called mathematical equation. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc."

We have,

Total amount for mangoes(P) =  280

Price of one mango is equal to 6 more than the total number of mangoes (A) i.e., P = A+6

By using mathematical equation from the question

P×A = 280.....(1)

Substitute P = A+6 in equation (1)

⇒ (A+6) × A = 280

⇒[tex]A^{2}+6A =280[/tex]

Add [tex]3^{2}[/tex] on both sides of above equation

⇒[tex]A^{2}+6A+3^{2} = 280+3^{2}[/tex]

⇒[tex]A^{2}+2.(1)(3A)+3^{2} =289[/tex]          (∵ [tex](a+b)^{2} = a^{2}+2ab+b^{2}[/tex])

⇒[tex](A+3)^{2} =289[/tex]

⇒[tex]A+3 = \sqrt{289}[/tex]

⇒[tex]A=17-3[/tex]

⇒[tex]A=14[/tex]

Hence, The total number of mangoes bought by Kumar are 14.

Learn more about mathematical equation here

https://brainly.com/question/15389595

#SPJ2

Enter the explicit rule for the geometric sequence.

120,40,403,409,4027

Answers

Answer:

120(1/3)^n-1

This is the correct answer for sure.

120(1/3)^n-1


Explanation: just because

1025 + 503 – 1412 – 7

Answers

Answer will be A :) Yw

Triangles RST and XYZ are similar. X R 16.0 cm 6.0 cm 3,6 cm ? S Y 7.5 cm T 20.0 cm z not drawn to scale What is the length of side XZ? O A 7.2 cm B. 9.6 cm C. 13.6 cm OD. 16.1 cm​

Answers

B) 9.6 cm

See the picture I have shared

Please someone end my suffering
Surface Area​

Answers

Answer:

107 in ²

Step-by-step explanation:

Surface area of the triangular prism = bh + L(s1 + s2 + s3)

Where,

b = 2 in.

h = 8 in.

s1 = 8.2 in.

s2 = 2 in.

s3 = 8 in.

L = 5 in.

Substitute

Surface area = 2 × 8 + 5(8.2 + 2 + 8)

Surface area = 16 + 5(18.2)

Surfaces area = 16 + 91

Surface area = 107 in ²

WILL GIVE BRAINIEST ONLY IF YOU GET IT RIGHT!!!!

Answers

Answer:

x = 15

Step-by-step explanation:

20^2 + x^2 = 25^2

400 + x^2 = 625

subtract each side 400

it results to 225

square root 225, to equals this -->

X = 15

Answer:

15

Step-by-step explanation:

A gardening club has 21 members, of which 13 are males and the rest are females.What is the ratio of females to all club members?

Answers

Answer:

8:21

Step-by-step explanation:

Suppose a publishing company estimates that its monthly cost is
C(x) = 600x2 + 300x and its monthly revenue is
R(x) = -0.423 + 700x2 – 600x + 500, where x is in thousands of
books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?.

Answers

Books sold. The profit is the difference between the revenue and the cost

Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall. 9 − 7x < 6 Solve the inequality that represents the story. If the variable is on the left, what is the sign?

Answers

Answer:

+ or > depending on what you mean exactly

Step-by-step explanation:

-7x<6-9

-7x<-3

x>3 (remember to flip the sigh)

the sign is the > symbol , or positive, not sure what you mean really

PLEASE HELP ME PLEASE AS SOON AS YOU CAN

EXPLAINATION = BRAINLIEST

THANK YOU SO MUCH

Answers

Answer:

35.18576

Step-by-step explanation:

use eqation E

Answer:

If the angle is in radians...

Area of sector =½r²¢

Where ¢ is theta.

Since Our angle is degree

We use

Area of Sector = ¢/360 x πr²

¢=theta

radius = Diameter/2

radius = 16/2 = 8m

Area = 126/360 x π x 8²

= 112π/5

=70.37

I need helpppppp I’ve been stuck for a while

Answers

Answer:

i think its d

Step-by-step explanation:

It’s d I have don’t this before be sure to show ur work it’s so easy

Part 2: Questions



What is the total cost of the entire bill (all four meals), including tip? 153.88


Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.





If each person paid an equal amount, who would save the most money? Explain your reasoning using at least two complete sentences.

I NEED HELP ON THE LAST 2 QUESTIONS you can use this but make sure you put some other names

Answers

Answer:

Answer:

Total amount ÷ number of person's

Step-by-step explanation:

for example:- there are four persons and the total amount they have to pay is ₹2000

Now,

contribution of each person = total amount ÷no.of persons

= ₹(2000 ÷4)

=₹500

Step-by-step explanation:

A six sided number cube is rolled twice. What is probability of rolling a 5 and then an even number?​

Answers

P(rolling 5) = 1/6
P(rolling even number) = 3/6 = 1/2

P(rolling 5 THEN even) = 1/6 x 1/2 = 1/12

The question uses one die and puts the results in order which makes the answer simple.
If you used two dice and either could be 5 or even you get a different result.

Pls I need help this

Answers

Answer:

the third side is 4.

Step-by-step explanation:

Using  Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute

the numbers to show ([tex]\sqrt{65})^{2}[/tex] + [tex]b^{2}[/tex] = [tex]9^{2}[/tex] and solve for b. The square root and square cancel each other out, so you get 65 + [tex]b^{2}[/tex] = 81.

Subtract 65 from both sides to get [tex]b^{2}[/tex] = 16.

Then take the square root of both sides to get b = [tex]\sqrt{16}[/tex] which equals 4.

What is the oblique asymptote of gx) = x2-3x-5?
O y = x + 5
O y = x – 5
O y = 5x
O y = -5x

Answers

Answer:

B) [tex]y=x-5[/tex]

Step-by-step explanation:

Because [tex]g(x)=\frac{x^2-3x-5}{x+2}[/tex] simplifies to [tex]x-5+\frac{5}{x+2}[/tex], we only care about the quotient, which will be our oblique asymptote equation. Therefore, the oblique asymptote for the function will be [tex]y=x-5[/tex]. See the attached graph for a visual.

Answer:

B

Step-by-step explanation:

Did it rn

30% of my money is $24 how much is my total money

Answers

Answer:

Hope this helps!

Please mark brainliest!

24x3=72

And 10% of 24 is 2.4

So $74.04

Answer: 80

Step-by-step explanation:

100 ----- x

30 ------ 24

V

10// ----- x

3// ------ 24

V

3 · x = 24 · 10

3x = 240

x = 240/3

x = 80

What is 12 decreased by p?

Answers

Answer:

12 - p

Step-by-step explanation:

12 - p

Brayden says that the probability of catching a cold is 1/2 because there are two possible outcomes, catching a cold and not catching a cold. Is he correct? Explain.

Answers

In a way he is correct but he would need to explain more in order to get it right formally

-3c-11+14c=-14c-11
help me lol

Answers

Answer:

0

Step-by-step explanation:

-3c-11+14c=-14c-11

                  +14c

-3c-11+28c = -11

                  +11

-3c+28c = 0

25c=0

divide both sides by 25

c=0

Answer:

c=0

Step-by-step explanation:

-3c-11+14c=-14c-11

Combine like  terms

-11c -11 = -14c -11

Add 11 to each side

-11c-11+11 = -14c -11+11

-11c = -14c

Add 14c to each side

-11c+14c = -14c+14c

3c =0

Divide by 3

3c/3 = 0/3

c =0

What is the answer? To this question?

Answers

Answer:

20

Step-by-step explanation:

f(x) = 30

30 = 1.8x -5.4

35.4 = 1.8x

x = 35.4/1.8

x = 19.666


True or False: The hypotenuse can be one of the two legs of a right triangle.
True
O False

Answers

Answer:

False

Step-by-step explanation:

The hypotenuse is not either of the two legs but is opposite of the right angle.

The answer is false because a hypotenuse is the longest side of a right triangle

(-6, -5) and (2, 0)
Find the distance between each pair of points.

Answers

Answer:

[tex]\sqrt{89}[/tex] or 9.43

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Helpppp does anyone know

Answers

Answer:    105

======================================================

Explanation:

We can apply the remote interior angle theorem. Some math books or teachers may refer to this as the "exterior angle theorem". They're the same idea just with different names.

According to that theorem, the interior angles x and 53 add up to the exterior angle 158

x+53 = 158

x = 158-53

x = 105

This theorem only works if neither interior angle is adjacent to the exterior angle. Hence the "remote" part.

----------

If you wanted a slightly longer approach, then let y be the missing angle that isn't marked in the diagram. Angle y is adjacent to the 158 degree angle.

We can find y by noting how 158 and y are supplementary

158+y = 180

y = 180-158

y = 22

Then we use the fact that adding three angles of any triangle always gets us 180 degrees

x+y+53 = 180

x+22+53 = 180

x+75 = 180

x = 180-75

x = 105

Effectively, this example helps reinforce why the remote interior angle theorem is true.

What is the product?

Answers

Answer:

15a^5 b^15

Step-by-step explanation:

_____________

Larry puts $4250 in an account for 8 years, compounded quarterly, at 4.5% interest (APR). How much will he have at the end?

Answers

Answer:

6,079.42

Step-by-step explanation:

FV   =   P (1  +  r / n)^Yn

P is the starting principal, r is the annual interest rate, Y is the number of years invested, and n is the number of compounding periods per year. FV is the future value, meaning the amount the principal grows to after Y years.

Please help me ASAP
Question is in photo, thank you!​

Answers

Answer:

the first and third option

Step-by-step explanation:

In the initial recipe, the ratio of tomato sauce to chile sauce is 1 : 3/2

To make it spicier this ratio has to be higher than the initial ratio

Ratio in the first option : 1/2 : 1 = 1 : 2

option 2 : if both recipes are double, the proportion of ingredients remain the same

oprion 3 : 1 : 3

option 4 : 1 : 1

option 5 : 1 : 5/3

Please help with this question

Answers

Answer:

24 feet

Step-by-step explanation:

The given parameters of the blueprint are;

The length of each grid square on the blueprint = 10 feet

The total distance in feet around the garden, P = 4 + 2 + 2 + 4 + 6 + 6 = 24

The total distance in feet around the garden = 24 feet

PLS ADD EXPLANATION
Cylinder radius is 2 cm height is 10cm what is the surface area

Answers

Given:

Radius of a cylinder = 2 cm

Height of the cylinder = 10 cm

To find:

The surface area of the cylinder.

Solution:

The total surface area of the cylinder is:

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

Where, r is the radius and h is the height of the cylinder.

Putting [tex]r=2[/tex] and [tex]h=10[/tex] in the above formula, we get

[tex]A=2\pi (2)(10)+2\pi (2)^2[/tex]

[tex]A=40\pi +2\pi (4)[/tex]

[tex]A=40\pi +8\pi [/tex]

[tex]A=48\pi [/tex]

Therefore, the surface area of the cylinder is [tex]48\pi [/tex] square cm and its approximate value is 150.8 square cm.

can some one answer please

Answers

Answer:

B (HI/GI)

Step-by-step explanation:

Remember Soh Cah Toa.

Toa is the trick for tan, meaning the tan function is opposite divided by adjacent. The side opposite of angle G is HI, and the side adjacent to it is GI.

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