Explain why sin(A)=sin(D)
I NEED HELP ASAP

$6.56 for 8.2 grams unit rate is 4/5 or 80%.

A ratio that compares two amounts of Distinct types of UNITS is called a rate. When a rate is expressed as a fraction, the denominator is 1 unit. Divide the numerator and denominator of the rate by the denominator to represent a rate as a unit rate. When the numbers that make up a rate have no common elements, the rate is in its simplest form. Keep in mind that the units are listed with the rate. A rate with a denominator of 1 is referred to as a unit rate. Divide the numerator and denominator of the rate by the number in the numerator to obtain unit rates.

Based on the given conditions, formulate:

6.56/8.2

Calculate.

6.56/8.2

Rewrite the fraction.

656/820

Simplify.

4/5 or 0.8.

Learn more about unit rate here

https://brainly.com/question/19493296

#SPJ1

Answer:

6.88

Step-by-step explanation:

8/100= 0.08

0.08×86 = 6.88

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

For similar question on diameter.

https://brainly.com/question/28162977

#SPJ8

Answer:

the answer is 105

Step-by-step explanation:

because 5×3=15 so 15×7 =105

Answer:

The total force on the object is approximately 19.52 lbs.

The smallest angle of the triangle is approximately 20.3°.

The largest angle in the triangle is approximately 37.2°.

The remaining angle of the triangle is approximately 122.5°.

Step-by-step explanation:

To solve this problem, we can use vector addition to find the total force on the object.

We can start by representing the two forces as vectors. Let the vector representing the 12 lbs force be F1 and the vector representing the 5.66 lbs force be F2.

We can then break down each vector into its horizontal and vertical components using trigonometry. Since each force makes a 72.5-degree angle with the horizontal, we have:

F1x = 12 lbs * cos(72.5°) ≈ -3.01 lbs (since the force is pointing to the left)

F1y = 12 lbs * sin(72.5°) ≈ 11.60 lbs (since the force is pointing upward)

F2x = 5.66 lbs * cos(72.5°) ≈ -1.87 lbs (since the force is pointing to the left)

F2y = 5.66 lbs * sin(72.5°) ≈ 7.25 lbs (since the force is pointing upward)

We can then add the horizontal and vertical components of each force separately to get the total force vector:

Fx = F1x + F2x ≈ -4.88 lbs

Fy = F1y + F2y ≈ 18.85 lbs

The total force vector has a magnitude of:

|F| = sqrt(Fx^2 + Fy^2) ≈ 19.52 lbs

So the total force on the object is approximately 19.52 lbs.

To find the angles of the triangle formed by the two forces and the resultant force, we can use the law of cosines:

cos(A) = (B^2 + C^2 - A^2) / (2 * B * C)

where A, B, and C are the lengths of the sides of the triangle opposite to angles A, B, and C, respectively.

Using this formula, we can find:

The smallest angle of the triangle:

cos(A) = (5.66^2 + 19.52^2 - 12^2) / (2 * 5.66 * 19.52) ≈ 0.933

A ≈ 20.3°

The largest angle in the triangle:

cos(C) = (12^2 + 19.52^2 - 5.66^2) / (2 * 12 * 19.52) ≈ 0.785

C ≈ 37.2°

The remaining angle of the triangle:

B = 180° - A - C ≈ 122.5°

Therefore, the answers are:

The total force on the object is approximately 19.52 lbs.

The smallest angle of the triangle is approximately 20.3°.

The largest angle in the triangle is approximately 37.2°.

The remaining angle of the triangle is approximately 122.5°.

∠1 and ∠8 are alternate exterior angle.

∠2 and ∠4 are corresponding angle.

∠3 and ∠6 are alternate interior angle.

∠6 and ∠7 are consecutive interior angle.

When a transversal intersects two or more lines, alternate exterior angles are produced. These angles are created on the various transversal sides' outer sides.Any two parallel lines that cross a transversal produce a few pairs of angles with the transversal. In the area inside the parallel lines, interior angles are generated, whilst alternate external angles are created in the area outside the parallel lines.

Corresponding angles are those that are created when two parallel lines are intersected by another line, whether it be a transversal or a matching corner (i.e. the transversal). Angle p and angle w, for instance, are the matching angles in the illustration below.

The pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles. All of these angles are equal. There is another way to look at this. The alternative interior angles can establish the parallelism or non-parallelism of the given lines. The supplied lines that are crossed by a transversal are said to be parallel if these angles are equal.

The pair of interior angles that are not contiguous to one another and are on the same side of the transversal are referred to as consecutive interior angles. Things that follow one another are referred described as being "consecutive." On a transversal's internal side, adjacent interior angles are found next to one another.

∠1 and ∠8 are alternate exterior angle.

∠2 and ∠4 are corresponding angle.

∠3 and ∠6 are alternate interior angle.

∠6 and ∠7 are consecutive interior angle.

To learn more about alternate exterior angle visit ?

brainly.com/question/2279752

#SPJ9

Answer:

  (3x +2)(x +1)

Step-by-step explanation:

A number of different ways are suggested for doing this. One that seems straightforward is this.

For ax^2 +bx +c, look for factors of ac that total b. Here we have ...

  ac = 3·2 = 6

  b = 5

It is easy to see that the factors we just multiplied to get 6 are ones that total 5: 3+2 = 5.

Now, rewrite the "bx" term using this sum.

  3x^2 +3x +2x +2

Factor each pair of terms.

  3x(x +1) +2(x +1)

And factor out the common factor:

  (3x +2)(x +1)

Answer: 12

Step-by-step explanation: 25% is always 25/100 or 1/4. To get this you have to multiply 48 by 1/4 with is 48/4 = 12$.

Hoped This Helped!

To find the value of f(3) we need to follow the below steps :

Step 1 : First plot the graph of f(x)

Step 2 : We need to find f(3) or the function value at x = 3 therefore, in the graph locate the point (3,0)

Step 3 : Draw a line parallel to Y-axis passing through the point (3,0) .

Step 4 : Now there exists two cases :

If the drawn line do not intersect the graph of f(x), then no value of f(3) exists for the given function of x

If the drawn line intersects the graph, then the intersection point is marked and a line parallel to x - axis is drawn passing through that marked or intersection point. And the line where it intersects the y - axis is our required value of f(3).

If this is wrong than I guess I wasn't smart enough :)

Answer:

1.1

Step-by-step explanation:

Write out a long division problem! Since you can't have a decimal in the divisor, multiply both numbers by 10. This will leave you with 39.6÷36. Now all you have to do is follow the steps and end up with an answer of 1.1

Assume you are buying a bond with a par value of $1,000 which is listed in the Wall Street Journal at a price of 100.50. The bond price is: $1,005.

Using this formula to determine the bond price

Bond price = Bond par value × price/100

Where:

Bond par value = $1,000

Price = 100.50

Let plug in the formula

Bond price = $1,000 × 100.50 /100

Bond price = $100,500 /100

Bond price =$1,005

Therefore the bond price is $1,005.

Learn more about bond price here:https://brainly.com/question/15567868

#SPJ1

Answer:

3

Step-by-step explanation:

The value of x = 15.

The equation given is \(3^{14}\) + \(3^{14}\) + \(3^{14}\) = \(3^{x}\).

We can simplify this equation by adding the three terms on the left-hand side, which gives us 3(\(3^{14}\)) =\(3^{15}\).

Therefore, x = 15.

To understand why this is the case, we need to remember the laws of exponents.

The law of exponents states that when we multiply two numbers with the same base, we can add their exponents.

So, for example, \(3^{2}\) * \(3^{3}\) = \(3^{2+3}\) = \(3^{5}\).

Using this law, we can see that \(3^{14}\) +\(3^{14}\) + \(3^{14}\) is the same as 3 * \(3^{14}\).

And since 3 is also a factor of \(3^{15}\), we can combine the terms to get \(3^{15}\).

Therefore, x = 15.

We arrived at this conclusion by using the law of exponents to combine the terms on the left-hand side of the equation.

know more about law of exponents here:

https://brainly.com/question/11761858

#SPJ11

For the first question. Since Jacob bought 4 adult tickets, replace a = 4 in the given equation and solve for s, like this

475,805 rounded to the nearest ten thousand would be 476,000.

The number who needs to be separated into a ratio = 72

Total number of parts = 3 + 4 + 5

= 12 parts

Each part = 72 ÷ 12

= 6

Then 3 parts = 3 × 6 = 18

4 parts = 4 × 6 = 24

5 parts = 5 × 6 = 30

Then , the ratio will be , 18 : 24 : 30

Therefore , 72 in the ratio 3:4:5 will be = 18 : 24 : 30 .

Answer:

180m-40

Step-by-step explanation:

60m- 60 + 120 +20

=180m-40

180m-40

Step-by-step explanation:

if right please brainliest

Answer:

\(\textsf{1.(a)} \quad x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)

\(\textsf{1.(b)} \quad 9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)

\(\begin{aligned}\textsf{2.(a)}\quad3x^2-24x+48&=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\\&=3\left(x-\boxed{4}\right)^2\end{aligned}\)

\(\begin{aligned}\textsf{2.(b)}\quad \dfrac{1}{2}x^2+8x+32&=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\\&=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\end{aligned}\)

Step-by-step explanation:

(a) When completing the square for a quadratic equation in the form ax² + bx + c where the leading coefficient is one, we need to add the square of half the coefficient of the x-term:

\(x^2-14x+\left(\dfrac{-14}{2}\right)^2\)

\(x^2-14x+\left(-7\right)^2\)

\(x^2-14x+49\)

We have now created a perfect square trinomial in the form a² - 2ab + b². To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)

Therefore:

\(a^2=x^2 \implies a=1\)

\(b^2=49=7^2\implies b = 7\)

Therefore, the perfect square trinomial rewritten as a binomial squared is:

\(x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)

(b) When completing the square for a quadratic equation where the leading coefficient is not one, we need to add the square of the coefficient of the x-term once it is halved and divided by the leading coefficient, and then multiply it by the leading coefficient:

\(9x^2 + 30x +9\left(\dfrac{30}{2 \cdot 9}\right)^2\)

\(9x^2 + 30x +9\left(\dfrac{5}{3}\right)^2\)

\(9x^2 + 30x +9 \cdot \dfrac{25}{9}\)

\(9x^2 + 30x +25\)

We have now created a perfect square trinomial in the form a² + 2ab + b². To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 +2ab + b^2 = (a +b)^2}\)

Therefore:

\(a^2=9x^2 = (3x)^2 \implies a = 3x\)

\(b^2=25 = 5^2 \implies b = 5\)

Therefore, the perfect square trinomial rewritten as a binomial squared is:

\(9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)

\(\hrulefill\)

(a) Factor out the leading coefficient 3 from the given expression:

\(3x^2-24x+48=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\)

We have now created a perfect square trinomial in the form a² - 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)

Factor the perfect square trinomial inside the parentheses:

                        \(=3\left(x-\boxed{4}\right)^2\)

(a) Factor out the leading coefficient 1/2 from the given expression:

\(\dfrac{1}{2}x^2+8x+32=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\)

We have now created a perfect square trinomial in the form a² + 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2+2ab + b^2 = (a +b)^2}\)

Factor the perfect square trinomial inside the parentheses:

                        \(=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\)

Step-by-step explanation:

Since ABCD is a rectangle

⇒ AB = CD and BC = AD

x + y = 30 …………….. (i)

x – y = 14 ……………. (ii)

(i) + (ii) ⇒ 2x = 44

⇒ x = 22

Plug in x = 22 in (i)

⇒ 22 + y = 30

⇒ y = 8

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:

Example 1:

Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
For such more question on equations

https://brainly.com/question/22688504

#SPJ11

\( - 6 \leqslant x \leqslant 6\)

\( - 5 \leqslant y \leqslant 5\)

Answer:C. [12.35+(2.25x3)-2]÷3

Answer:

\(\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2\)

Step-by-step explanation:

Given the expression

\(\left(5n^2\:-\:4nm\:-\:9m^2\right)\:+\:\left(7n^2\:+\:4nm\:+8m^2\right)\)

Remove parentheses: (a) = a

\(=5n^2-4nm-9m^2+7n^2+4nm+8m^2\)

Group like terms

\(=5n^2+7n^2-4nm+4nm-9m^2+8m^2\)

Add similar elements: \(5n^2+7n^2=12n^2\)

\(=12n^2-4nm+4nm-9m^2+8m^2\)

Add similar elements: \(-4nm+4nm=0\)

\(=12n^2-9m^2+8m^2\)

Add similar elements:  \(-9m^2+8m^2=-m^2\)

\(=12n^2-m^2\)

Therefore, we conclude that:

\(\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2\)

Answer:

give that 13.3cm is 15% of a certain length, what is the complete length

Answer: A,B and D ARE THE CORRECT ANSWERS

Step-by-step explanation:

Answer:

$2.03

Step-by-step explanation:

2.25-(2.25*.1)=2.025

Discount:-

\(\\ \tt\longmapsto 0.1(2.25)\)

\(\\ \tt\longmapsto 0.22\)

Price after deducting discount

\(\\ \tt\longmapsto 2.25-0.22\)

\(\\ \tt\longmapsto \$2.03\)

Done

The exponential model for the given data is:

f(x) = abˣ + k = 14.85 + 18.638(0.169)ˣ

Let's choose the points (-4, 138.6) and (-3, 23.4):

\(f(-4) = ab^{(-4)} + k = 138.6\\f(-3) = ab^{(-3)} + k = 23.4\)

Now we can subtract the second equation from the first equation to eliminate k:

\(f(-4) - f(-3) = ab^{(-4)} - ab^{(-3)}\)

Simplifying this equation gives:

\(138.6 - 23.4 = a(b^{(-3)} - b^{(-4)})\\115.2 = a(b^{(-3)} - b^{(-4)})\)

Next, we can divide the second equation by the first equation to eliminate a:

\(\dfrac{f(-3)}{f(-4)} = (ab^{(-3)} + k)/(ab^{(-4)} + k)\\\dfrac{23.4}{138.6} = b^1\)

Solving for b gives:

\(b = (23.4/138.6)^{(1/1)}\\b = 0.169\)

Now that we have found b, we can use one of the original equations to solve for a. Let's use the equation f(1) = ab¹ + k:

f(1) = ab¹ + k

-14.85 = a(0.169) + k

Solving for a gives:

a = (-14.85 - k)/(0.169)

To find k, we can substitute the value of a and b into any of the original equations. Let's use the equation f(0) = ab⁰ + k:

f(0) = ab⁰ + k

-14.4 = a(1) + k

-14.4 = a + k

Substituting the value of a into this equation gives:

-14.4 = (-14.85 - k)/(0.169) + k

-14.4 = -88.157 + 5.988k

k = 18.638

Therefore, the exponential model for the given data is:

f(x) = abˣ + k = 14.85 + 18.638(0.169)ˣ

Learn more about the exponential model here:

https://brainly.com/question/28596571

#SPJ1

Answer:

124

Step-by-step explanation:

1^3-1=0

2^3-1=7

3^3-1=26

4^3-1=63

5^3-1=124

Hence the next one in the pattern is 124.

Answer:

B. Since the y - values decrease as the x - values increase the scatter plots show a negative association.

Step-by-step explanation:

A positive association would be the y - values and the x - values both increases.

I hope this helps!

In the expression 4b³ - 14c²b⁵⁶m⁹ + 34 we have total three terms -  4b³ ,  14c²b⁵⁶m⁹ ,  34.

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given in the question is a expression as follows -

4b³ - 14c²b⁵⁶m⁹ + 34

In order to identify the number of terms in this expression, it is important to keep in mind that the terms of an expression are separated from one another by the following → + (Addition),  - (Subtraction). In some cases, (equal to) '=' , (less than) '<' , (greater than) '>' are also used. Now, the given expression given is -

4b³ - 14c²b⁵⁶m⁹ + 34

It has three terms -  4b³, 14c²b⁵⁶m⁹, 34

Therefore, in the expression 4b³ - 14c²b⁵⁶m⁹ + 34 we have total three terms -  4b³ ,  14c²b⁵⁶m⁹ ,  34.

To solve more questions on expressions , visit the link below-

https://brainly.com/question/11915983

#SPJ1