In ΔXYZ, y = 33 cm, x = 77 cm and ∠X=70°. Find all possible values of ∠Y, to the nearest 10th of a degree.

Answer:

4.8822

Step-by-step explanation:

Answer:

4.8822

Step-by-step explanation:

0.79*6.18 = 4.8822

dont really need a step by step explanation its pretty simple.

The distance of point from the axis of rotation of the second hand is 8.2 cm.

Here,

A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2.

We have to find the distance of point from the axis of rotation of the second hand.

What is Rotation?

The circular motion of an object around the circle is called Rotation.

Now,

Let us consider the equation for the centripetal acceleration given by;

\(a_{c} = \frac{v^{2} }{r}\)

where, v is the velocity and r is the radius.

Now, the velocity can be expressed as;

\(v = wr = \frac{2\pi r}{T}\)

where, ω is the angular velocity and T is the period.

Solving for the radius using these equations given as;

\(a_{c} = \frac{v^{2} }{r}\\\\v^{2} = a_{c} r\\\\(\frac{2\pi r}{T} )^2 = a_{c} r\\\\\frac{4\pi ^{2}r^{2} }{T^{2} } = a_{c} r\\\\r = \frac{T^{2} a_{c} }{4\pi ^{2} } \\\\r = \frac{(60s)^2(0.09 cm/s^2)}{4\pi ^{2} } \\\\r = 8.2 cm\)

Hence, The distance of point from the axis of rotation of the second hand is 8.2 cm.

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Answer:

See below.

Step-by-step explanation:

The ones that work are:

Answer:

Step-by-step explanation:

\(4x−73x+45x−9\)

Combine 4x and −73x to get −69x.

\(−69x+45x−9\)

Combine −69x and 45x to get −24x.

\(−24x−9\)

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I speak English and Spanish

Therefore, the maximum size for the building on the one-acre site would be 0.15 acres.

If the setback requirements and necessary parking spaces limit the building footprint (or foundation) to 15% of the land area, and the site is one acre in size, we can calculate the maximum size for the building by multiplying the land area by the allowed building footprint percentage.

Maximum size for the building = 1 acre * 15%

= 0.15 acres

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Answer:

10

Step-by-step explanation:

The square root of a number x is, by definition, a number y such that y2=x . In your case, it is immediate to find out that 102=100 , which fits the definition, and thus the square root of 100 is 10.

Answer:

140 sports articles

Step-by-step explanation:

7 x 20 = 140

Yes, the ordered pairs (child number, amount paid) represent a function.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Number of children = 20

Cost per children = $2

Now,

The ordered pairs are:

(1, 2), (2, 4), (3, 6), (4, 8), (5, 10), (6, 12), (7, 14), (8, 16), (9, 18), (10, 20),

(11, 22), (12, 24), (13, 26), (14, 28), (15, 30), (16, 32), (17, 34), (18, 36), (19, 38), (20, 40)

The ordered pairs are a function.

A function can be one-to-one or many-to-one but not one-to-many.

We see that the ordered pairs are one-to-one.

Thus,

The ordered pairs are functions.

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Answer:

the answer would be D) undefined

Step-by-step explanation:

above is what the graph should look like and in that graph there is no slope.

Answer:

4

Step-by-step explanation:

Solution

- The formula for the vertex form of a quadratic equation is given below:

- The vertex of the quadratic equation is depicted below:

- Thus, the vertex of the quadratic graph is V(2, -2).

- The equation of the graph becomes:

- To find the value of "a", we apply the coordinate given (-1, 6). This is done below:

Final answer

The equation is:

The set of ordered pairs that is a function is (c)  {(-2, -6), (-5, -6), (9, -2), (7, 3)}

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

here, we have,

to determine the ordered pair that is a function:

The list of options represents the given parameter

As a general rule, for an ordered pair to be a function;

The y values on the ordered pair must point to different x values

In (a) the y values -1 and 7 have the same x value of 1

So, it is not a function

In (b) the y values -4 and -6 have the same x value of 3

So, it is not a function

In (c) all the y values have different x values

So, it is a function

In (d) the y values -5 and -1 have the same x value of -6

So, it is not a function

Hence, the ordered pair that is a function is (c)

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Answer:

Step-by-step explanation:

5 + 2x = 65

5 + 2x -5 = 65 - 5

2x = 60

\(\frac{2x}{2}\) = \(\frac{60}{2}\)

x = 30

Answer:

Read the explanation

Step-by-step explanation:

look at the photo

Answer:

A = 5

Step-by-step explanation:

Add 13 to each side of the expression :

Step-by-step explanation:

A 13+13 equal to -8+13

A 13-8

A 5

Answer:

x(x+2) is the answer

Step-by-step explanation:

x²+2x

x(x+2)

The function that models the amount of money the car will worth after w years is $32,000 × (1 + 8.6%)^w.

The amount of money the car will worth after w years is modeled by the function given below:

Amount of money after w years = $32,000 × (1 + 8.6%)^w

Given that Tony purchased a 1965 Chevy Camaro in 2004 for $32,000, and the experts estimate that its value will increase by 8.6% per year.

Now, the amount of money the car will worth after w years can be calculated using the following formula: Amount of money after w years = original cost × (1 + rate of increase)^w

Where, original cost = $32,000rate of increase = 8.6% (8.6/100 = 0.086)w = number of years

Therefore, the required function is Amount of money after w years = $32,000 × (1 + 8.6%)^w

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Each expression can be represented as a multiple of a sum of whole numbers with no common factor:

1. 9 × (2 4 3) = 18 36 27

2. 27 × (2 3 1) = 54 81 27

3. 14 × (9 2 1) = 126 28 14

4. 22 × (4 3 1) = 88 66 22

5. 4 × (4 7 12) = 16 28 48

6. 12 × (3 8 1) = 36 96 12

7. (88 66 22) = (4 3 1) × 22

8. (18 36 27) = (2 4 3) × 9

9. (54 81 27) = (2 3 1) × 27

10. (126 28 14) = (9 2 1) × 14

11. (36 96 12) = (3 8 1) × 12

12. (16 28 48) = (4 7 12) × 4

To represent each expression as a multiple of a sum of whole numbers with no common factor, we need to find the greatest common divisor (GCD) of the given numbers and then express each number as a multiple of the GCD.

Let's calculate the GCD for each set of numbers:

1. 9, 2, 4, 3

  GCD(9, 2, 4, 3) = 1

  Therefore, (9, 2, 4, 3) already has no common factor.

  9 × (2 4 3) = 18 36 27

2. 27, 2, 3, 1

  GCD(27, 2, 3, 1) = 1

  Therefore, (27, 2, 3, 1) already has no common factor.

  27 × (2 3 1) = 54 81 27

3. 14, 9, 2, 1

  GCD(14, 9, 2, 1) = 1

  Therefore, (14, 9, 2, 1) already has no common factor.

  14 × (9 2 1) = 126 28 14

4. 22, 4, 3, 1

  GCD(22, 4, 3, 1) = 1

  Therefore, (22, 4, 3, 1) already has no common factor.

  22 × (4 3 1) = 88 66 22

5. 4, 4, 7, 12

  GCD(4, 4, 7, 12) = 1

  Therefore, (4, 4, 7, 12) already has no common factor.

  4 × (4 7 12) = 16 28 48

6. 12, 3, 8, 1

  GCD(12, 3, 8, 1) = 1

  Therefore, (12, 3, 8, 1) already has no common factor.

  12 × (3 8 1) = 36 96 12

7. 88, 66, 22

  GCD(88, 66, 22) = 22

  Divide each number by 22 to express them as a multiple of the GCD.

  (88, 66, 22) = (4 3 1) × 22

8. 18, 36, 27

  GCD(18, 36, 27) = 9

  Divide each number by 9 to express them as a multiple of the GCD.

  (18, 36, 27) = (2 4 3) × 9

9. 54, 81, 27

  GCD(54, 81, 27) = 27

  Divide each number by 27 to express them as a multiple of the GCD.

  (54, 81, 27) = (2 3 1) × 27

10. 126, 28, 14

   GCD(126, 28, 14) = 14

   Divide each number by 14 to express them as a multiple of the GCD.

   (126, 28, 14) = (9 2 1) × 14

11. 36, 96, 12

   GCD(36, 96, 12) = 12

   Divide each number by 12 to express them as a multiple of the GCD.

   (36, 96, 12) = (3 8 1) × 12

12. 16, 28, 48

   GCD(16, 28, 48) = 4

   Divide each number by 4 to express them as a multiple of the GCD.

   (16, 28, 48) = (4 7 12) × 4

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The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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The rate of change of the surface area of the sphere is 1903784*pi cubic inches^2 per minute.

The volume of a sphere can be found using the equation V = 4/3 * pi * r^3, where V is the volume and r is the radius of the sphere.

The surface area of a sphere can be found using the equation A = 4 * pi * r^2, where A is the surface area.

To find the rate of change of the surface area, we can use the chain rule of calculus:

dA/dt = dA/dr * dr/dt

We know that dr/dt = 2409 cubic inches per minute (from the problem statement). To find dA/dr, we can take the derivative of the surface area equation with respect to r:

dA/dr = 8 * pi * r

Now we can substitute these values into the chain rule equation:

dA/dt = 8 * pi * r * dr/dt

When the radius of the sphere is 99 inches, we can substitute this value into the equation:

dA/dt = 8 * pi * 99 * 2409 cubic inches^2 per minute

So, the rate of change of the surface area of the sphere is 1903784*pi cubic inches^2 per minute.

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The profession/group in the survey that gets the least amount of sleep are Lawyers and police officers, according to the less than 6 hours category.

Lawyers and police officers are two groups of professionals who, according to a study, frequently get less than six hours of sleep per night.

Almost a third of all police officers and attorneys reported sleeping less than six hours per night, according to a study by the American Academy of Sleep Medicine.

Sleep deprivation is defined as getting less than the recommended amount of sleep each night.

The National Sleep Foundation recommends that adults get 7-9 hours of sleep per night.

The negative effects of sleep deprivation on health and safety are well documented, and there are numerous reasons

However, some groups are more prone to sleep deprivation than others.

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Demographics variables include the characteristics of a population, similar as age, gender, race, education, income, occupation, and geographic position.

 Demographic shifts can have a conspicuous impact on the request in the coming 10 times. One of the significant demographic shifts is the growing population.

The growing population will have a conspicuous impact on the healthcare request as they need further medical care as they progress.

The growing population also has an impact on the casing request as they're looking to reduce or move to withdrawal communities. Another demographic shift that will have a conspicuous impact on the request is the increase in diversity in the population.

The increase in diversity will impact the food and libation request as different societies have different salutary requirements and preferences. It'll also impact the marketing fashion request as different societies have different fashion styles and preferences.

An illustration of a folklore is the LGBTQ community. The unique marketing aspect of this folklore is the need for addition and acceptance. Companies can reach out to this folklore by featuring LGBTQ individualities in their announcements. An illustration of this is the recent Coca- Cola announcement featuring a same- coitus couple.

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The image point of (9, -5) after a rotation of 270° about the x-axis is (9, 5).

To find the image point of the coordinates (9, -5) after the transformation of a rotation of 270° about the x-axis, we need to apply the transformation to the given point.

The transformation of a rotation of 270° about the x-axis means that we rotate the point counterclockwise by 270° around the x-axis.

For a rotation of 270° about the x-axis:

Applying the transformation to the point (9, -5):

Therefore, the image point of (9, -5) after the transformation of a rotation of 270° about the x-axis is (9, 5).

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Answer:

27 and 50

Step-by-step explanation:

they are both greater than the original side length of 20

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

\( \sf \: a) \: 27 = 9p \: ; p = 3\)

Step-by-step explanation:

Given information,

→ Simon have 27 pieces of candy.

→ Each person will get 9 pieces.

Now we have to,

→ Find the required equation.

The equation will be,

→ 27 = 9p

→ 9p = 27

=> As each person (p) gets 9 pieces.

Then the value of p will be,

→ 9p = 27

→ p = 27 ÷ 9

→ [ p = 3 ]

Hence, option (a) is correct.

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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Answer:

1.8

Step-by-step explanation:

Slope: 1.8

Equation of the line: y=1.8x-2.6

Weight limit of the shelf = 16.40 pounds.  Conversion factor: 1 pound = 2.20462 kilograms. Among the given options, the closest value to 7.441 kilograms is option a) 7.44 kg(Answer).

To determine how many kilograms Jennifer's shelf can support, we need to convert the weight limit from pounds to kilograms. To convert pounds to kilograms, we divide the weight in pounds by the conversion factor: Weight limit in kilograms = 16.40 pounds / 2.20462 kilograms per pound. Calculating the weight limit in kilograms: Weight limit in kilograms ≈ 7.441 kilograms.  Therefore, Jennifer's shelf can safely support approximately 7.441 kilograms. Among the given options, the closest value to 7.441 kilograms is option a) 7.44 kg. Option b) 13.44 kg is too high, option c) 32.42 kg is significantly higher, and option d) 36.16 kg is also higher than the calculated weight limit.

Thus, the correct answer is option a) 7.44 kg, as it is the closest approximation to the weight limit of Jennifer's shelf.

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The average cost for 16 gallons is $46.272

The first step is to calculate the price of one gallon

5= 14.46

1= x

cross multiply

5x= 14.46

x= 14.46/5

x= 2.892

The price of 16 gallons can be calculated as follows

= 16 × 2.892

= 46.272

Hence the price of 16 gallons is $46.272

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