Find the exact value of cos A in simplest radical form. ​

The radius of the circle with circumference 112\(\pi\) cm is given by 56 centimeters.

We know that the circumference of a circle with radius r is given by,

C = 2\(\pi\)r

Let the radius of the circle be r cm.

So the circumference of the circle is 2\(\pi\)r cm.

According to the question, the circumference is 112\(\pi\) cm. So,

2\(\pi\)r = 112\(\pi\)

2r = 112

r = 112/2

r = 56

Hence the radius of the circle is 56 centimeters.

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Answer:

6x + y = 3

Step-by-step explanation:

Put in point slope form

y - 15 = -6 ( x +2 )

y - 15 = -6x - 12

y = -6x + 3

6x + y = 3

Answer:

Depends if there is anyway trump supporters, homophobes, or transphobic people there

Step-by-step explanation:

Answer:

15?

Step-by-step explanation:

Answer:

L=4\(\pi=4\pi d^2b\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

she ate 1/4 of the batch = 16/4 = 4 muffins were left

she baked two more batches = 16* 2 = 32

4 + 32 = 36 muffins

or

no. of muffins in a batch: 16

no of muffins he ate = 1/4 of 16

                                 = 4

no. of muffins left: 16 - 4= 12

his mother then baked 2 more batches= 16+16

                                                                =32

no. of muffins left = 32+12 = 44

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Answer:

44

Step-by-step explanation:

16-4 equals 12 each batch equals 16. 16 times 2 equals 32 plus 12 equals 44

Answer:

12. Y=8 is the answer I have the explain

13. X=-1 is the answer I have the explain

Step-by-step explanation: hope this help

The speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.

A star moving away from the observer (say on Earth) will have its emitted light red-shifted (move to lower frequency), i.e., the spectrum moving to left if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.

A star moving towards the observer (say on Earth) will have its emitted light blue-shifted (move to higher frequency), i.e., the spectrum moving to the right if we consider the intensity of light is plotted as a function of frequency with the frequency increasing from left to right.

A star moving perpendicular to the observer (say on Earth) will have its emitted light will no change with respect to the spectrum of the stationary star.

These are due to the Doppler effect, the equation of frequency detected by the observer as

\(f_o = f_s\sqrt{\frac{1-\beta }{1+\beta } }\) where \(\beta = \frac{v}{c}\), v the relative velocity of the moving source (the star here), f^s is the frequency of light emitted by the source.

Hence the answer is the speed of the star as compared to the speed of the star relative to earth is the frequency of light emitted by the source.

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Answer:

y=28 Good Luck!

Step-by-step explanation:

Answer:

y=28

Step-by-step explanation:

Answer:

176

Step-by-step explanation:

\(V=\frac{1}{3}\times 8 \times 6 \times 11=176 \:cm^3\)

Answer:

-7

Step-by-step explanation:

\(h(x)=-2x-5\\h(x)=9\\so,\\-2x-5=9\\-2x=9+5\\-2x=14\\x=-7\)

Simply replace h(x) with 9 because it is given in the question that h(x)=9

The bicycles produced from the beginning of week 2 to the end of week 3 are 2926.

To find the number of bicycles produced from the beginning of week 2 to the end of week 3, we will use the given production function P(t) = 95 + 588t^2 - 14t, where t is the number of weeks.

First, we need to find the number of bicycles produced by the end of week 2 and week 3.

To do this, we'll plug in t = 2 and t = 3 into the production function:

P(2) = 95 + \(588(2)^{2}\) - 14(2) = 95 + 588(4) - 28 = 95 + 2352 - 28 = 2419 bicycles

P(3) = 95 + \(588(3)^{2}\) - 14(3) = 95 + 588(9) - 42 = 95 + 5292 - 42 = 5345 bicycles

Now we need to find the difference between the bicycles produced by the end of week 3 and those produced by the end of week 2:

Number of bicycles produced from the beginning of week 2 to the end of week 3 = P(3) - P(2) = 5345 - 2419 = 2926 bicycles

So, the factory produced 2926 bicycles from the beginning of week 2 to the end of week 3.

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Answer:

C = -2t + 30

Step-by-step explanation:

Answer:

1. ∠YZX = 37°

2. ∠YXZ = 53°

3. XZ = 30 meters

Step-by-step explanation:

1. To solve for an unknown angle, we need to utilize the inverse of a trigonometric function.

⭐What are the inverses of the trigonometric functions?

To know which inverse of the trigonometric functions we use, we have to see the type of side lengths we are given (opposite, adjacent, or hypotenuse)

We are given side length XY, which is opposite of ∠YZX, and we are given side length YZ, which is adjacent to ∠YZX. Therefore, we will use \(tan^-1 (opposite/adjacent) =\)

Substitute the values we are given into the function:

\(tan^-1 (18/24) =\)

Compute this equation using a scientific calculator. I recommend using the Desmos Scientific Calculator:

\(= 37\)

∴ ∠YZX = 37°

2. We already know 2 angles (∠YZX = 37°, and ∠ZYX = 90°) Therefore, to find ∠YXZ, we have to utilize the triangle sum theorem.

⭐ What is the triangle sum theorem?

Substitute the angles we know already (∠YZX and ∠ZYX), and solve for ∠YXZ.

\(< YZX + < ZYX + < YXZ = 180\)

\(37 + 90 + YXZ = 180\)

\(127 + YXZ = 180\)

\(< YXZ = 53\)

∴ ∠YXZ = 53°

3. We already know 2 side lengths (ZY = 24 meters, and XY = 18). Therefore, to find XZ, we have to utilize the Pythagoras' theorem.

⭐ What is the Pythagoras' theorem?

Substitute the values of the side lengths into the formula:

\((XZ)^2 = (XY)^2 + (ZY)^2\)

\((XZ)^2 = 18^2 + 24^2\)

Solve for XZ:

\((XZ)^2 = 324 + 576\)

\((XZ)^2 = 900\)

\(\sqrt{(XZ)^2} = \sqrt{900}\)

\(XZ = 30\)

∴ XZ = 30 meters

Answer:

x=35.44

Step-by-step explanation:

x=ky^3 and√z

x=k(y^3)(√z)

Find k when

x=7

y=2

z=4

7=k(2^3)(√4)

7=k(8)(2)

7=k(16)

7=16k

k=7/16

Find x when y=3, z=9

x=k(y^3)(√z)

x=(7/16)(3^3)(√9)

x=(7/16)(27)(3)

=7/16(81)

=567/16

x=35.4375

Approximate to 2 decimal places

x=35.44

The sinusiodal function created from 2 given points is y = 3 sin (πx + 90) + 3

From the case, we have:

Minimum point = (-3,0)

Maximum point = (-9,6)

The sinusoidal fuction would be in the form of:

y = A sin (Bx - C) + D

where:

A = amplitudo

B = 2π / Period

C = Phase shift

D = Midline

First, we need to find the amplitudo:

A = (Y max - Y min) / 2

A = (6 - 0) / 2

A = 3

Periode = (X max - X min) x 2

Periode = (-9 - (-3) x 2

Periode = -6

B = 2π / Periode

B = 2π / 6

B = 1/3 π

D = (Y max + Y min) / 2

D = (6 + 0) / 2

D = 3

We can use one point to find the value of C:

0 = 3 sin (π/3 (-3) - C) + 3

0 = 3 sin (π - C) + 3

-3 = 3 sin (π - C)

sin (π - C) = -1

(π - C) = 270

C = -1/2 π

C = - 90

Then the sinusiodal function would be:

y = 3 sin (πx + 90) + 3

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Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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The probability that a teenager has exactly 4 pairs of shoes in their closet is given as follows:

P(4) = 1/5 = 0.2 = 20%.

The parameters that are needed to calculate a probability are given as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of outcomes in this problem is given as follows:

18 + 30 + 57 + 30 + 15 = 150.

30 of the students have exactly 4 pairs, hence the probability is given as follows:

P(4) = 30/150

P(4) = 1/5 = 0.2 = 20%.

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Answer:

C is your y intercept 3.99b is your slope

Step-by-step explanation:

There are equal parts probabilities and measures.

Answer:

Step-by-step explanation:

label sides adjacent h and o

sin(30) times 12 = 6 = 10

Answer:

4√130 or just  √480

Step-by-step explanation:

You set up each number for pythagorean theorem as a squared plus b squared equals c squared. Then you solve for b squared and simplify into radical form, or...

your answer is 21.9

The total bill including the 15% tip is $75.19 .The total bill, including the 15% tip, can be calculated by multiplying the bill amount by the tip percentage (as a decimal) and adding the result to the original bill amount.

Therefore, the total bill with the tip would be:$65.38 + 0.15($65.38)

= $65.38 + $9.81

= $75.

An alternate way of calculating the tip would be to divide the bill amount by 100 and then multiply the result by 15 (the percentage tip). This would give the same result: $65.38 ÷ 100 × 15 = $9.81.

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Answer:

3.14 * r * r = area of circle, 2 * 3.14 * r = circumference

Step-by-step explanation:

Remember these formulas, very important.

The equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

The measure is given as:

0.85 hg

As a general rule:

1 hectogram (hg) = 1000 decigram (dg)

So, multiply both sides of the above equation by 0.85

So, we have:

0.85 * 1 hectogram (hg) = 0.85 * 1000 decigram (dg)

Evaluate the product

0.85 hectogram (hg) = 850 decigram (dg)

Hence, the equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

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The statement 'When all the points fall on the regression line, the correlation coefficient, r would equal + 1 or -1. If the relationship is negative, then "r " = -1; if positive, then"r" = +1' is false because  When all the points fall on the regression line, the correlation coefficient, r would equal + 1 or -1 regardless of whether the relationship is positive or negative.

The statement is false because the correlation coefficient, r, is a measure of the strength and direction of the linear relationship between two variables, and it ranges from -1 to +1 regardless of whether all the points fall on the regression line or not.

If all the points fall on the regression line, then the correlation coefficient, r, will be either +1 or -1, but this is not determined by whether the relationship is positive or negative.

If the relationship is positive, then r will be positive, and if the relationship is negative, then r will be negative. The sign of r simply indicates the direction of the linear relationship, while the magnitude of r indicates the strength of the relationship.

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Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.

Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.

It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.

Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.

Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.

Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.

To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.

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