What is the sine rule

Answers

Answer 1

Answer:

Sine, in a right triangle, is the side opposite to the angle divided by the hypotenuse.

Law of sines (on any triangle) is

[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

where A, B, and C are angles and a, b, and c are side lengths opposite to the angles.

Answer 2

Answer:

sine rule states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.

Step-by-step explanation:

In a triangle with sides a,b,c:

a/sin A = b/sin B = c/sin C 


Related Questions

What is the equation of a line, in slope-intercept form, that has a slope of 3 and contains the point (0,5)?

Answers

Y=mx+b

That is slope intercept form.
m= slope, which is 3
b= y-int, which is 5.
The y intercept is the value of y/ coordinate where the function intercepts the y axis. The y int is where x=0. In this case, y=5 when x=0.

Then just substitute those numbers into the equation.

y=3x+5


A box contains 4 red cubes, 3 blue cubes, 2 green cubes, and 1 yellow cube. You pick two cubes at random, replacing each after you pick. Find the probability of picking a blue and then a red.

A.3/25

B.9/100

C.3/4

D.4/25

Answers

Answer:

Step-by-step explanation:

There are 10 cubes all together.

You want blue and then red with replacement.

Blue

P(B then red) = 3/10 * 4/10 = 12 / 100

12/100 reduces to 3/25

The answer is A

Answer:

A?

Step-by-step explanation:

-4d - 5 = -1 answer for me pls

Answers

[tex]\\ \sf\longmapsto -4d-5=-1[/tex]

Cancel - from both sides

[tex]\\ \sf\longmapsto -(4d+5)=-(1)[/tex]

[tex]\\ \sf\longmapsto 4d+5=1[/tex]

[tex]\\ \sf\longmapsto 4d=1-5[/tex]

[tex]\\ \sf\longmapsto 4d=-4[/tex]

[tex]\\ \sf\longmapsto d=\dfrac{-4}{4}[/tex]

[tex]\\ \sf\longmapsto d=-1[/tex]

Where is the blue dot on the number line ?

Answers

It is at 1.13. Each mark on the number line is 0.1. Hope this helps!

Answer:

-1.13

Step-by-step explanation:

the gape between two points is 0.01 so the required answer is -1.13

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)
Step 2: m∠w − m∠z = 90 degrees (corresponding angles)
Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z
Step 4: So, m∠x + m∠y = m∠w

In which step did the student first make a mistake and how can it be corrected? (5 points)


Step 1; it should be m∠x + m∠y + m∠z = 180 degrees (sum of corresponding angles)

Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)

Step 1; it should be m∠x + m∠y + m∠z = 90 degrees (corresponding angles)

Step 2; it should be m∠w + m∠z = 90 degrees (alternate exterior angle)

Answers

Answer:

Step 2; it should be m∠w + m∠z = 180 degrees (supplementary angles)

Step-by-step explanation:

Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle)

Step 2: m∠w − m∠z = 90 degrees (corresponding angles)  

We are adding the angles to form a straight line which is 180 degrees

Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z

Step 4: So, m∠x + m∠y = m∠w

On the graph of an exponential function representing growth, what happens to the slope of the graph? The slope:
a. increases
C stays the same
b. decreases
d. there is no slope
Please select the best answer from the choices provided
B
оооо
D
Next
Submit

Answers

Answer:

a. Increases

Step-by-step explanation:

An exponential graph starts rising gradually and then starts to steeply incline.

In other terms, the derivative of an exponential function shows us that the slope of the exponential function increases as the inputs increase.

∴ our answer is A.

Find m<DCV and m<VBD​

Answers

Answer:

∠ DCV = ∠ VBD = 50°

Step-by-step explanation:

The inscribed angles DCV and VBD are half the measure of their intercepted arcs, that is

∠ DCV = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°

∠ VBD = [tex]\frac{1}{2}[/tex] DV = [tex]\frac{1}{2}[/tex] × 100° = 50°

Need help ASAP rocky ! Help needed

Answers

Answer:

x/x∈R,x≤5 1/6

Step-by-step explanation:

Help pls will give brainliest

Answers

Answer:

195.06

Step-by-step explanation:

area of circle = πr^2 = π8^2 = 64π

area of triangle = 1/2 x 4 x 3 = 6

area of shape = 64π-6 = 195.061929 = 195.06

Juan concludes that x? + 7x + 3 cannot be factored using integers.
is juan correct? how could juan improve his strategy?

Answers

I HOPE IT WILL HELP YOU. If it is right then plz tell me .

Name the property shown by the statement a + (b + 2) = (a + b) + 2

Answers

Answer:

The associative property

Step-by-step explanation:

In brief terms, the associative property states that when one has like operations, or an operation and its inverse, one can add parenthesis to the equation without changing the final answer. One can also change the place in which the parenthesis stands in this expression without altering the result. remember, an operation and its inverse refers to any operation and the operation that is done to undo the operation. The following is a list of such operations:

[tex]x^n=b[/tex]        [tex]\sqrt[n]{b}=x[/tex]

[tex]a*b[/tex]            [tex]a[/tex] ÷ [tex]b[/tex]

[tex]a+b[/tex]           [tex]a-b[/tex]

BRAINLEST IF CORRECT!!!!!!!

Answers

Answer:[tex]\huge \boxed{x=180-26-90=64}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have the angels 180, 26, 90(right angle) and x. So when you add them all up you should get 360 because there aren’t two straight lines. Only line makes a 180 angle. So...

180 + 26 + 90 + x = 360

296 + x = 360

x = 360 - 296

x = 64

In the figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠2=55°.


What is m∠8?






Enter your answer in the box.


°

Line a b parallel to line c d is cut by a transversal forming 8 angles. The angles formed when the transversal intersects with line A B clockwise starting from top left are angle 1, 2, 3, and 4. The angles formed where the transversal intersects line c d clockwise from top left are angle 5, 6, 7, and 8.

measure of angle E is 2 x degrees.

Answers

Answer:

m<8 = m<2, both are equal since they are alternate exterior angles.

m<2 = 55° given, so m<8 = 55°

Answered by GAUTHMATH

A student states that Figure JKLM is congruent to Figure PQRS. Determine if the student is correct or has made an error. ;D

Answers

Answer:

Student has made an error

Step-by-step explanation:

If two figures are said to be congruent, this implies that area of both is same and both as exactly same or copy or each other.

But from the graph, it can be stated that height of figure JKLM is 4 units whereas that of other is 6 unit.

Hence explained !

If the mortgage interest rates increase, this would be an example of changing your external environment.

Answers

Answer:

Economic conditions

Step-by-step explanation:

If the mortgage interest rates increase, this would be an example of changing Economic conditions in a company's your external environment

Mortgage is the legal agreement/arrangement between a financial institution and a debtor wherein the Financial institution lends funds to the debtor at an interest rate, and also with the title of the property owned by the debtor.

once the debtor repays the mortgage he retains the full ownership of his property.

PLEASE HELP ASAP!!! i dont understand :(

Answers

Answer:

hello,

Step-by-step explanation:

y=k(x-a')²+b'

focus is (a',1/(4k)+b')

2x²=-120y

==> y=-2/120x²

==> y=-1/60(x-0)²+0

focus= (0,-15)

[tex]\frac{1}{3-6y} + \frac{1}{y} = \frac{1}{6\\}[/tex]

Answers

Answer:

y = 11 + √ 73/ 4  , 11 − √ 73 /4

Step-by-step explanation:

Find the measure of the indicated angle.

Answers

Answer:

i think it the measured of the indicated angle is 55

Is the answer option c?

Answers

Answer:

Discrete

Step-by-step explanation:

A set can simply be defined as a list of values. There are many different types of sets, some are intervals, others are enumerated numbers. Often, a set composed of values that are listed is referred to as a discrete set. Discrete sets can be a list of information, or "isolated points". Knowing this information, the most logical answer to fill in the blank is "discrete".

"If a set is made up of isolated points and can be written as a list, it is called a discrete set."

kiro and lito were assigned the same book to read for a class. kiro started reading on Saturday, and he's reading 20 pages a day. Lito didn't start until Sunday, but he is reading 25 pages a day. How many days will it take Lito to catch up to kiro and how many pages will they have each read?

what system of equations represents this situation and how do you solve it?

Answers

Since Kirk starting reading on Saturday, I can make an equation of 20 + 20d. The equation for Lito is 20d. Therefore, the system of equations is 20 + 20d = 25d.

I can solve this like any other equation. Firstly, I can subtract 20d on the left hand side to give me 20 = 5d. Then, I can divide by 5. This gives me 4 = d, or d = 4. This means that it takes Lito 4 days to catch up. I can then multiply 20 * 4 and 25 * 4 to give me 100 pages.

The system of equations is 20 + 20d = 25d, and the amount of pages they each read is 100.

Find the missing side of the triangle

Answers

I dont know the answer lol but imma say B

SOMEONE HELP ME PLEASE

Answers

Answer:

1/4 * 2/3 = 2/12 = 1/6 = .1666 = 16.6%

Step-by-step explanation:

Expand and simplify the following. Show all the steps.
a. -4(a-4)
b. 3a(a+2)
c. 4x - 2(5 - x)
d (x-3)(x+2)
e (x+4)2

Answers

a) -4a+16
b) 3a^2+6a
c) 20x - 4x^2- 10 + 2x
-4x^2 + 22x -10
d) x^2+2x-3x-6
x^2-x-6
e) (x+4)(x+4)
x^2+8x+16

a. The expanded and simplified form is: -4a + 16

b. The expanded and simplified form is: 3a^2 + 6a

c. The expanded and simplified form is: 6x - 10

d. The expanded and simplified form is: x^2 - x - 6

e. The expanded and simplified form is: x^2 + 8x + 16

Sure, let's expand and simplify each expression step by step:

a. -4(a - 4)

Step 1: Apply the distributive property (multiply -4 by each term inside the parentheses).

-4(a) + -4(-4)

Step 2: Simplify the terms.

-4a + 16

So, the expanded and simplified form is: -4a + 16

b. 3a(a + 2)

Step 1: Apply the distributive property (multiply 3a by each term inside the parentheses).

3a * a + 3a * 2

Step 2: Simplify the terms.

3a^2 + 6a

So, the expanded and simplified form is: 3a^2 + 6a

c. 4x - 2(5 - x)

Step 1: Apply the distributive property (multiply -2 by each term inside the parentheses).

4x - 2 * 5 + 2 * x

Step 2: Simplify the terms.

4x - 10 + 2x

Step 3: Combine like terms.

6x - 10

So, the expanded and simplified form is: 6x - 10

d. (x - 3)(x + 2)

Step 1: Apply the distributive property (multiply x by each term inside the second parentheses and then multiply -3 by each term inside the second parentheses).

x * x + x * 2 - 3 * x - 3 * 2

Step 2: Simplify the terms.

x^2 + 2x - 3x - 6

Step 3: Combine like terms.

x^2 - x - 6

So, the expanded and simplified form is: x^2 - x - 6

e. (x + 4)^2

Step 1: Apply the square of a binomial formula: (a + b)^2 = a^2 + 2ab + b^2

(x)^2 + 2(x)(4) + (4)^2

Step 2: Simplify the terms.

x^2 + 8x + 16

So, the expanded and simplified form is: x^2 + 8x + 16

To know more about simplify:

https://brainly.com/question/17579585

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Beaker A contains 1 liter which is 15 percent oil and the rest is vinegar, thoroughly mixed up. Beaker B contains 2 liters which is 55 percent oil and the rest vinegar, completely mixed up. Half of the contents of B are poured into A, then completely mixed up. How much oil should now be added to A to produce a mixture which is 60 percent oil

Answers

Answer:

Add 1.25 litres of oil.

Step-by-step explanation:

Contents in beaker A implies;

15% of oil in 1 litre = 0.15 litres of oil

So that, there are 0.15 litres of oil and 0.85 litres of vinegar in beaker A.

Contents in beaker B implies:

55% of oil in 2 litres = 1.1 litres of oil

So that, thee are 1.1 litres of oil and 0.9 litres of vinegar in beaker B.

Half of contents of B poured into A implies that beaker A now contains:

0.15 litres + 0.55 litres = 0.7 litres of oil

0.85 litres + 0.45 litres = 1.3 litres of vinegar

The percentage of oil in A now = [tex]\frac{0.7}{2}[/tex] x 100%

                                                    = 35%

To increase the percentage of oil to 60%, then:

0.7 litres + 1.25 litres = 1.95 litres of oil

But the new total litres of the content in beaker A = 3.25 litres

So that;

[tex]\frac{1.95}{3.25}[/tex] x 100% = 60%

Therefore, to produce a mixture which is 60% oil, add 1.25 litres of oil.

HELP ME PLEASE I NEED HELP

Consider the end behavior of the function g(x) = 4|x − 2| − 3.

As x approaches negative infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.


As x approaches positive infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.

Answers

Answer:

Step-by-step explanation:

This is a narrower-than-normal absolute value graph, which is a v-shaped graph. It's pointy part, the vertex, lies at (2, -3) and it opens upwards without bounds along both the positive and negative x axes. Therefore, as x approaches negative infinity, f(x) or y (same thing) approaches positive infinity. As x approaches positive infinity, f(x) approaches positive infinity.

Which of the following lists of ordered pairs is a function? A. (2,5), (3, 6), (6, 9) B. (-1,2), (2, 3), (3, 1), (2,5) C. (1,2), (4,0), (3,5),(4,3) D. (2,5), (3, 6), (2, 1)​

Answers

Answer:

A. (2,5), (3,6), (6,9)

Step-by-step explanation:

In order to be a function, all inputs (x values) must go to only one output (y value). List A is the only list that obeys this rule. Therefore, List A is a function.

option A(2,5),(3,6),(6,9)

SOMEONE HELP ME PLEASE

Answers

Answer:

547

Step-by-step explanation:

why because it is

so big

Answer:

Step-by-step explanation:

This question suffers from being incomplete which is why you are likely unable to answer it. The problem is: what does advanced mean.

Does it mean post bachelor?Does it mean a masters?Does it mean just extra classes above what you know to be true.

I'm going to answer this on the basis of what I can see which is just a bachelor's degree.

First find the total of the entire table.

There are 6 entries 224 + 387+547+776+245+322=2501

Now P(Bachelor) = 547 / 2501 = 0.2187

Simplify for me please

Answers

6^21

it would equal about 2.19^10 just as the original equation

hope this helps:))

I WILL GIVE BRAINLIEST IF TWO PEOPLE ANSWER! PLEASE PUT WHAT X IS, AND PLEASE PUT THE REASONS OF HOW YOU DID IT, FOR INSTANCE, SUBSTITUTION, OR ALTERNATE INTERIOR ANGLES

Answers

Answer:

14°

Step-by-step explanation:

4x + 32 + 64 = 180 => x = 14 (°)

Can u help solve this problem

Answers

Answer:

45in³

Step-by-step explanation:

6 x 5 x 3 = 90/2 = 45in³

the correct answer is 45 in^3
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