sin 496.4 degrees
Please don’t give just the answer! I would like to fully understand how you got to your answer, thank you!

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

Answer:

55860

Step-by-step explanation:

This way super dupper easy

Answer:

V is approximately 11.81

Step-by-step explanation:

We use the sine rule

V/sin 98 = 10/sin 57

Cross multiply

V * sin 57 = 9.90268068

V = 9.90268068/sin 57

V= 11.80759295

V ~ 11.81

Elena can make 20/3 cups of purple paint

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

WE are given that Elena makes her favorite shade of purple paint by mixing 3 cups of blue paint, 1 1/2 cups of red paint, and 1/2 cup of white paint.

Since Elena has 2/3 cup of white paint. then;

1 1/2 cups of red paint (1 1/2=1.5)

1/2 cup of white paint (1/2=0.5)

Then the ratio is 3:1.5:0.5

Means every 0.5 cups of white paint Elena makes 5 cups of purple paint (3+1.5+0.5)

Let x the number of cups of purple paint

5/ 0.5 = x / (2/5)

x = 20/3 cups of purple paint

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ1

Answer: -13k+11

Step-by-step explanation:

Combine like terms

-15k+2k=-13k

-1+12=11

Answer:

Step-by-step explanation:

For a number line the centre of the line is the origin (0, 0). To get the two numbers that are a distance of 5 from 0, we will add 5 to 0 and subtract 5 from 0.

Towards the positive x axis;

The value at a distance of 5 from 0 = 5- 0 = 5

Towards the negative x axis;

The value at a distance of 5 from 0 = -5- 0 = -5

Hence the  two values on a number line that are a distance of 5 from 0 are 5 and -5

The hypotenuse can be found using the Pythagorean formula, which is c=√a²+b².

The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry.

The Pythagorean theorem, which asserts that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.

In this case, if one of the other sides is 3 (when squared, 9) and the other is 4 (when squared, 16), then the sum of their squares is 25.

The square root of 25, or 5, is the length of the hypotenuse.

With the help of the Pythagorean formula, which is c = √a² + b², we can determine the hypotenuse.

Therefore, the hypotenuse can be found using the Pythagorean formula, which is c=√a²+b².

Know more about the hypotenuse here:

https://brainly.com/question/2217700

#SPJ4

As the elevator climbs, the angle of depression to a certain spot on the lobby floor alters. Angle of depression increases.

the arc formed as the line of sight drops from the horizon. The angle of depression is the angle formed when an object is perceived below the observer's height between the horizon and the line of sight of the observer. The depression angle is the angle formed between the line of sight looking down at the object and the horizontal line of sight. If you are on a hill or a building and you are looking down at something, you can tell the slope. To measure these angles, a theodolite or an inclinometer might be employed.

As the elevator climbs, the angle of depression to a certain spot on the lobby floor alters. Angle of the depression increases.

∠x = 65° ≤ ∠XYZ

To know more about  angle of depression visit:

brainly.com/question/13514202

#SPJ1

Answer:

x = 15/8

Step-by-step explanation:

Let x = unknown number

Given:

some number minus -15 is equal to the product of the number and 9

⇒ x - -15 = x · 9

⇒ x + 15 = 9x

⇒ 15 = 9x - x

⇒ 15 = 8x

⇒ x = 15/8

Answer:

15/8

Step-by-step explanation:

Let's assume that the number is 'n'. Provided that number 'n' minus -15 is equal to the product of the number 'n' and 9. Simply jot down the above statement in mathematical form:

\( \implies\:\sf{\red{n \: - \: ( - 15) \: = \: n \: \times \: 9}}\)

Now, simply solve the above equation.

\(\implies\:\sf{n \: + \: 15 \: = \: 9n}\)

Take the like terms on one sides.

\(\implies\:\sf{9n \: - \: n \: = \: 15}\)

Do the rest calculations.

\(\implies\:\sf{8n \: = \: 15}\)

\(\implies\:\sf{\red{n \: = \: \dfrac{15}{8}}}\)

Hence, the required value of n is 15/8.

Answer:

7x³y² - 3x²y² + xy - 5

Step-by-step explanation:

Add like terms.

5x³y² + 2x³y² = 7x³y²

-3x²y² = -3x²y²

-3xy + 4xy = xy

2 - 7 = -5

Put them all together.

7x³y² - 3x²y² + xy - 5

The value of the n is 1

In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.

To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.

(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:

18 = k(2)

k = 18/2

k = 9

Now that we have found the value of k, we can use it to find n when y = 9:

9 = 9n

n = 1

Therefore, the value of n is 1.

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ1

Answer:

i believe the answer would be option D

Step-by-step explanation:

Answer: You are probably overthinking this. It is simply Y-X=5. The other infromation does not matter to this specific question.

Hope this is what your looking for:)

Answer: no one cares

Step-by-step explanation:

Answer:

  (c)  31 units

Step-by-step explanation:

Given quadrilateral ABCD has AD║BC, with AD=3x+7 and BC=5x-9, you want to know the length of AD for the quadrilateral to be a parallelogram.

Opposite sides of a parallelogram are congruent, so for ABCD to be a parallelogram, we must have ...

  BC = AD

  5x -9 = 3x +7

  2x = 16

  x = 8

  AD = 3x +7 = 3(8) +7 = 31

The length of AD must be 31 units if ABCD is to be a parallelogram.

<95141404393>

The angle of sinθ between the horizontal vector (1, 0) and the slant vector (15/17, -8/17) is sin⁻¹(8/17), which is approximately 29.11 degrees.

To find the angle of sinθ between a horizontal vector and a slant vector, we can use the dot product formula:

a · b = |a| |b| cos(θ)

where a and b are vectors, |a| and |b| are their magnitudes, and theta is the angle between them.

In this case, the horizontal vector is (1, 0) and the slant vector is (15/17, -8/17).

The magnitude of the horizontal vector is 1, and the magnitude of the slant vector is:

|b| = sqrt((15/17)² + (-8/17)²) = sqrt(225/289 + 64/289) = sqrt(289/289) = 1

The dot product of the two vectors is:

a · b = (1)(15/17) + (0)(-8/17) = 15/17

So we have:

15/17 = (1)(1) cos(θ)

cos(θ) = 15/17

To find sin(θ), we can use the trigonometric identity:

sin²(θ) + cos²(θ) = 1

sin²(θ) = 1 - cos²(θ) = 1 - (15/17)² = 64/289

Taking the square root of both sides, we get:

sin(theta) = sqrt(64/289) = 8/17

To learn more about the vectors;

brainly.com/question/13188123

#SPJ1

Answer:

54 Joules

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

correct on edge

Therefore, the correct option is B. ∠EGF with the angle measure of 138°.

A quadrilateral is a four-sided polygon with four vertices and four angles. It is a closed figure with four straight sides that do not intersect. Examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses. The sum of the interior angles of a quadrilateral is always 360 degrees.

Here,

In an inscribed quadrilateral, opposite angles are supplementary. That is, the sum of the measures of any two opposite angles is 180 degrees. Therefore, to find the angle that has the same measure as ∠EDF, we need to look for the angle that is also opposite ∠EDF in the inscribed quadrilateral.

In the inscribed quadrilateral with points D, E, F, and G, we know that ∠EDF has a measure of 42 degrees. We also know that the opposite angle to ∠EDF is ∠EGF, because they share side EF.

Since opposite angles in an inscribed quadrilateral are supplementary, we can find the measure of ∠EGF by subtracting 42 degrees from 180 degrees:

∠EGF = 180° - ∠EDF

= 180° - 42°

= 138°

To know more about quadrilateral,

https://brainly.com/question/28932216

#SPJ1

Answer:

This problem is same as finding the least common multiple (LCM) of 3 and 4.

3 = 3

4 = 2 x 2

=> LCM = 3 x 2^2 = 12 (3 appears once, 2 appears twice)

=> After 12 hours, two bell P and Q ring simultaneously.

Hope this helps!

:)

Answer:

n = 26/45

Step-by-step explanation:

If the 9⅓ and 27⅘ are supposed to be \(9^{1/3}\)  and \(27^{4/5}\), then

\(9^{1/3}\) × \(27^{n}\) = \(27^{4/5}\)

=> \((3^{2})^{1/3}\) × \((3^3)^{n}\) = \((3^3)^{4/5}\)

=> \(3^{2/3}\) × \(3^{3n}\) = \(3^{12/5}\)

=> \(3^{3n+\frac{2}{3}}\) = \(3^{12/5}\)

=> 3n+2/3 = 12/5

=> 45n + 10 = 36

=> 45n = 26

=> n = 26/45

Answer:

101, 29, 99

Step-by-step explanation:

I took the test :)

0.2252

(Please mark me brainliest! thank you in advance!!)

A) The percentage of nurses completing the task in less than 5 minutes is approximately 4.75%. b) The percentage of nurses requiring more than 10 minutes to complete the task is approximately 50%

To solve this problem, we will use the properties of the normal distribution and z-scores. Given that the average completion time for the task is 10 minutes and the standard deviation is 3 minutes, we can proceed with the following calculations:

a) To find the percentage of nurses completing the task in less than 5 minutes, we need to calculate the z-score corresponding to a time of 5 minutes and then determine the area under the normal distribution curve to the left of that z-score.

The z-score formula is given by: z = (x - μ) / σ

where x is the time in question (5 minutes), μ is the mean (10 minutes), and σ is the standard deviation (3 minutes).

z = (5 - 10) / 3 = -5/3 ≈ -1.67

Using a standard normal distribution table or a calculator, we can find that the area to the left of -1.67 is approximately 0.0475 or 4.75%. Therefore, approximately 4.75% of nurses complete the task in less than 5 minutes.

b) To find the percentage of nurses requiring more than 10 minutes to complete the task, we calculate the z-score for a time of 10 minutes and find the area to the right of that z-score.

z = (10 - 10) / 3 = 0

The area to the right of z = 0 is 0.5 or 50%. Therefore, approximately 50% of nurses require more than 10 minutes to complete the task.

c) To find the probability that a nurse will take between 8 and 12 minutes to complete the task, we need to find the area under the curve between the z-scores for 8 and 12 minutes.

z1 = (8 - 10) / 3 = -2/3 ≈ -0.67

z2 = (12 - 10) / 3 = 2/3 ≈ 0.67

Using a standard normal distribution table or a calculator, we find the area to the left of z = -0.67 as approximately 0.2514, and the area to the left of z = 0.67 as approximately 0.7514. Therefore, the probability that a nurse will take between 8 and 12 minutes to complete the task is approximately 0.7514 - 0.2514 = 0.5 or 50%.

d) To find the task times that qualify staff nurses for additional training, we need to determine the z-score corresponding to the slowest 20% of completion times and then convert it back to the original time scale.

The z-score corresponding to the slowest 20% is found by locating the z-score that has an area of 0.2 to its left. Using a standard normal distribution table or a calculator, we find this z-score to be approximately -0.84.

Now, we can convert the z-score back to the original time scale:

z = (x - μ) / σ

-0.84 = (x - 10) / 3

Solving for x, we have:

-0.84 * 3 = x - 10

-2.52 = x - 10

x = 10 - 2.52

x ≈ 7.48

Therefore, the task times that qualify staff nurses for additional training are approximately greater than 7.48 minutes.

In summary:

a) The percentage of nurses completing the task in less than 5 minutes is approximately 4.75%.

b) The percentage of nurses requiring more than 10 minutes to complete the task is approximately 50%

for more such question on percentage visit

https://brainly.com/question/24877689

#SPJ8

Answer:

C and E

Step-by-step explanation:

To solve this problem, let's plug in each coordinates into the equation.

A:

B:

C:

D:

E:

Answer:

The number of Zeros (roots) is

-3 and -10

Step-by-step explanation:

x^2 + 19x = 6x - 30

The inequality value that would be able to show/x/ ≤ 5 is option A

In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.

The symbol that we have  is telling us that the value of the x would be less than  or it would be seen to be equal to five.

We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A

Learn more about inequality:https://brainly.com/question/20383699

#SPJ1

Answer: r≈5.73 ft

Step-by-step explanation:

The formula for circumference is C=2πr or C=πd. These 2 equations are equivalent to each other because 2r is d. This problem is asking for radius so we can ignore C=πd.

With 36 ft circumference, we can find the radius by plugging 36 into circumference.

36=2πr

r=36/(2π)

r≈5.73 ft