A segment of length 94 cm has been rotated degrees around a center . What is the length of the rotated segment?

SOLUTION:

Case: Bearing

Method:

The diagram below shows a sketch of the angles and distances

Final answer:

Answer:

\(4 \sqrt{2}\)

Step-by-step explanation:

Rewrite 32 as the product of 16 and 2:

\(\implies \sqrt{32}=\sqrt{16 \cdot 2\)

Apply exponent rule \(\sqrt{a \cdot b}=\sqrt{a}\sqrt{b}\)

\(\implies \sqrt{16 \cdot 2}=\sqrt{16}\sqrt{2}\)

Rewrite 16 as 4²:

\(\implies \sqrt{16}\sqrt{2}=\sqrt{4^2}\sqrt{2}\)

Apply exponent rule \(\sqrt{a^2}=a\)

\(\implies \sqrt{4^2}\sqrt{2}=4 \sqrt{2}\)

Answer:

4\(\sqrt{2}\)

Step-by-step explanation:

using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

\(\sqrt{32}\)

= \(\sqrt{16(2)}\)

= \(\sqrt{16}\) × \(\sqrt{2}\)

= 4\(\sqrt{2}\)

Answer:

D, E, G

Step-by-step explanation:

Quotient of 82 and a number=82/n

Decreased by 26

82/n-26

She evaluate the expression when n=2

82/n-26

When n=2

82/2-26

=41-26

=15

Answer

D. The correct expression is 82/n-26

E.The operations include division and subtraction.

G.The value of the expression is 15

Answer:

The correct answer is b,d,e,g

Step-by-step explanation:

Answer:

10/20 for green, then 4/19 for blue. 10/20 * 4/19 = 2/19

Step-by-step explanation:

Explanation is above. If you need any more help let me know.

Answer:x=52

Step-by-step explanation:as SRQ is a right triangle,

<SQR=180°-(90+34)°

=56°

again, < SQR+<SQP=180°

< SQP=124

x+72°=124

x=52°

Answer:

x=52

Step-by-step explanation:

the answer is x=52.

Answer:gamble that,on average,will leave a person with the same amount of money.

Step-by-step explanation:

The given transformation is not a linear transformation because it violates the property of homogeneity.

For a transformation to be linear, it must satisfy two properties: homogeneity and additivity. Homogeneity states that if we scale the input vector by a scalar k, then the output vector should also be scaled by the same k. In other words, T(kv) = kT(v), where T is the transformation, v is the input vector, and k is a scalar.

Let's consider the given transformation that always outputs the vector [2 1] for any input vector in R^2. Now, let's take an arbitrary vector v = [x y] in R^2 and scale it by a scalar k. Therefore, kv = [kx ky].

If we apply the transformation T to kv, we get T(kv) = T([kx ky]) = [2 1].

On the other hand, if we first apply the transformation T to v and then scale it by k, we get kT(v) = kT([x y]) = k[2 1] = [2k k].

Since [2 1] is not equal to [2k k], the homogeneity property is not satisfied. Therefore, the given transformation is not a linear transformation.

Therefore, the given transformation violates the homogeneity property, and it is not a linear transformation.

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The calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.

To determine the number of significant figures in the answer to the calculation (3.4876)/(4.11+1.2), we need to consider the number of significant figures in the given values and apply the rules for significant figures in mathematical operations.

First, let's analyze the number of significant figures in the given values:

- 3.4876 has five significant figures.

- 4.11 has three significant figures.

- 1.2 has two significant figures.

To perform the calculation, we divide 3.4876 by the sum of 4.11 and 1.2. Let's evaluate the sum:

4.11 + 1.2 = 5.31

Now, we divide 3.4876 by 5.31:

3.4876 / 5.31 = 0.6567037...

Now, let's determine the number of significant figures in the result.

Since division and multiplication retain the least number of significant figures from the original values, the result should be reported with the same number of significant figures as the value with the fewest significant figures involved in the calculation.

In this case, the value with the fewest significant figures is 5.31, which has three significant figures.

Therefore, the answer to the calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.

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Jamie's final answer for rearranging the formula to make r the subject would be: \(r = \frac{10q}{p + 30}\)

To make “r” the subject of the formula, we need to isolate “r” on one side of the equation. Here's the step-by-step process:

Step 1: Begin with the original equation:

\(p = \frac{10(q - 3r)}{r}\)

Step 2: Multiply both sides of the equation by “r” to get rid of the denominator:

\(p \times r = 10(q - 3r)\)

Step 3: Distribute "r" on the right-hand side:

pr = 10q - 30r

Step 4: Add 30r to both sides of the equation to gather the "r" terms on one side:

\(pr + 30r = 10q\)

Step 5: Factor out "r" on the left-hand side:

\(r(p + 30) = 10q\)

Step 6: Divide both sides of the equation by (p + 30) to isolate "r":

\(r = \frac{10q}{p + 30}\)

So, the final answer for making "r" the subject of the formula is:

\(r = \frac{10q}{p + 30}\)

This means that "r" is equal to 10 times "q" divided by the sum of "p" and 30.

Therefore, Jamie's final answer for rearranging the formula to make r the subject would be: \(r = \frac{10q}{p + 30}\)

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The equation for number of days that Bruce can be fed is option C: 2d = 12.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The amount of food Bruce eats in 1 day = 2 cups

The amount of food Jorge brought for Bruce = 12 cups.

Let the number of days Bruce can be fed be d.

The number of days Bruce can be fed = Total amount of food / Amount of food consumed by Bruce in 1 day

Substitute the values into the equation -

d = 12/2

2d = 12

Therefore, the equation is 2d = 12.

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If Kayla can now turn additional 180° , then the angle measure of her total turn now is 540°   .

Kayla is working on a snow board trick ,

The angle that Kayla turns in her best trick = 360° ,

the additional angle that Kayla turns = 180° ,

the total turn of Kayla can be calculated by using the formula ;

Total turn = angle turned in best trick + additional angle

So , Total turn is = 360° + 180°

On adding both the angles ,

we get ,

= 540° .

Therefore , The angle measure of the total turn of Kayla is 540° .

The given question is incomplete , the complete question is

Kayla is working on a new snowboard trick. her best trick used to be a 360° full-circle turn, but now she can turn further by an additional 180° half-circle. what is the angle measure of her total turn now ?

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The y -intercept of the parabola y = x^2 + 2x + 10 is (0, 10)

the y-intercept represents the value of y when x=0. In the equation y = x^2 + 2x + 10, the x^2 and 2x terms create a parabola that opens upwards. As x approaches infinity or negative infinity, the value of y also increases towards infinity.

The y-intercept of a graph is the point at which the graph crosses the y-axis, which is where x=0. To find the y-intercept of the parabola y = x^2 + 2x + 10, we substitute x=0 into the equation, which gives

y = 0^2 + 2(0) + 10

y = 10

Therefore, the y-intercept of the parabola is (0, 10), which means the graph crosses the y-axis at the point (0, 10).

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The given question is incomplete, the complete question is:

Find the y -intercept of the parabola y = x^2 + 2x + 10

The electric field for a nonconducting plate with a charge per unit area of 9 located at z < 0 is zero, for 0 < z < 4.75 cm is \(2.16 \times 10^4 N/C\) directed in the positive z-direction, and for z > 4.75 cm is \(2.16 \times 10^4 N/C\) directed in the negative z-direction.

When z < 0, the plate is located below the second plate, resulting in the cancellation of electric field contributions due to the opposite charges on the plates. Therefore, the electric field is zero in this region.

For 0 < z < 4.75 cm, the electric field can be calculated using the formula E = σ / (2ε₀), where σ is the charge per unit area and ε₀ is the permittivity of free space. Substituting the given values, we find the electric field to be \(2.16 \times 10^4 N/C\) directed in the positive z-direction.

For z > 4.75 cm, the electric field is again given by E = σ / (2ε₀), but this time the charge per unit area is negative. Therefore, the electric field is \(2.16 \times 10^4 N/C\) directed in the negative z-direction.

In summary, the electric field for z < 0 is zero, for 0 < z < 4.75 cm is \(2.16 \times 10^4 N/C\) in the positive z-direction, and for z > 4.75 cm is \(2.16 \times 10^4 N/C\) in the negative z-direction.

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The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.



To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.

To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.

Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.

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Answer:

In the text they have already mentioned that Jasper use "p" points.

Emily has twice as many points as Jasper, so the equation is 2p

p+2p=18

Simplifying, we get

3p=18.

So the answer is A

The value of y based on the information given in the triangle is 5.5cm.

It should be noted that based on the information, A + B + C = 180°. This is the sum of angle in a triangle.

A + 120 = 180

A = 180 - 120

A = 60

A / sin A = B / sin B = c / sin c

x / sin 60 = 11 / sin 90 = y / sin 30

11 / sin 90 = y / sin 30

y = 11 sin 30 / sin 90

y = 5.5cm

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Annabelle collected data from a sample of people that were convenient for her to access, such as her immediate neighbors, and used this to draw her conclusion.

Annabelle performed a convenience sample investigation, which is a type of statistical investigation. This involves collecting data from a sample of people that are convenient for the researcher to access. In this case, Annabelle asked a couple of her immediate neighbors to find out how many people in her neighborhood were going to the rock concert..

Convenience sampling is useful when time or resources are limited, however the results may not be representative of the larger population. Therefore, it is important to consider the limitations of the sample when drawing conclusions. For example, Annabelle may not have considered that the neighbors she asked may not be representative of the whole neighborhood.

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Answer:

jhg hstu35kk4t6ek

3tnk63e6oktelrt

Step-by-step explanation:

4n5kdti3eo5

To determine if the linear system corresponding to an augmented matrix [a1 a2 a3 b] has a solution, we can check whether the vector b is in the span of the vectors {a1, a2, a3}.

In linear algebra, the augmented matrix represents a system of linear equations. The columns a1, a2, and a3 correspond to the coefficients of the variables in the system, while the column b represents the constants on the right-hand side of the equations. To check if the system has a solution, we need to determine if the vector b is a linear combination of the vectors a1, a2, and a3.

If the vector b lies in the span of the vectors {a1, a2, a3}, it means that b can be expressed as a linear combination of a1, a2, and a3. In other words, there exist scalars (coefficients) that can be multiplied with a1, a2, and a3 to obtain the vector b. This indicates that there is a solution to the linear system.

On the other hand, if b is not in the span of {a1, a2, a3}, it implies that there is no linear combination of a1, a2, and a3 that can yield the vector b. In this case, the linear system does not have a solution.

Therefore, determining whether the vector b is in the span of {a1, a2, a3} allows us to determine if the linear system corresponding to the augmented matrix [a1 a2 a3 b] has a solution or not.

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Answer:

\(\small\mathfrak\green{2x + 10 + 46 = 180 \: = linear \: pair} \\ \\ \small\mathfrak\red{hope it helps...}\)

The amount that each employee will get out of the bonus to your department will be $3,000.

What will each employee get?

You manage a staff of 9 employees in your department which means that there are 10 people in total.

The amount that each person will get from the bonus will therefore be:

= 30,000 / 10 employees

= $3,000

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The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

If an orca is swimming at the surface of the water and dives below the surface 25.5 feet. Then the orca swims up \(12\frac{1}{4}\) , then the location of the orca relative to the surface of the water is 13.25 feet below the surface of water

The depth he dives below the surface = 25.5 feet

The the orca swims up  \(12\frac{1}{4}\) feet

Convert the mixed fraction to simple fraction

\(12\frac{1}{4}\) feet = 49/4 feet

Convert the simple fraction to the decimal number

49/4 feet = 12.25 feet

The distance orca dives below will consider as negative and the distance swims up will considered as positive

Then the position of orca = -25.5+12.25

= -13.25

Hence, if an orca is swimming at the surface of the water and dives below the surface 25.5 feet. Then the orca swims up \(12\frac{1}{4}\) , then the location of the orca relative to the surface of the water is 13.25 feet below the surface of water

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Answer:

They will break even... but im not 100% sure im correct

Step-by-step explanation:

Im not 100% sure but here is what i have...

based on the given inequality the new one would be 15n>105+4.50n,

First subtract the 4.50n from the right side of the inequlaity sign.

Now you should have 10.5n>105

second, plug in a random number to see if she will make money or not..

I used 10, so plug 10 in for "N".

it will look like this, 10.5(10)>105

now do the math and get, 105>105,

which brings me to the cunclution she breaks even..

In a unimodal, symmetrical distribution, the mean, median, and mode are the same. In a unimodal, symmetrical distribution, all three measures of central tendency—the mean, median, and mode—are identical and have the same value.

In a unimodal, symmetrical distribution, the data is centered around a single peak and exhibits symmetry, meaning that the left and right sides of the distribution mirror each other. This type of distribution is often referred to as a symmetric distribution. In such cases, the mean, median, and mode all coincide and have the same value. The mean of a distribution is calculated by summing all the data points and dividing by the total number of data points. In a symmetrical distribution, the values on both sides of the peak contribute equally to the mean, resulting in a balanced distribution. The median is the middle value of the data when it is arranged in ascending or descending order. In a symmetrical distribution, the median is located at the peak of the distribution since the left and right sides are mirror images. Therefore, the median is the same as the mean and mode. The mode represents the most frequently occurring value(s) in the distribution. In a symmetrical unimodal distribution, the peak occurs at the center, and since the distribution is symmetrical, there is only one mode, which is located at the peak. Consequently, the mode is also the same as the mean and median.

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Answer: Danielle drive for 2 hours

Jamal drives for 2 × 3 = 6 hours

Step-by-step explanation:

Let the number of hours that Danielle used in driving to be represented by x.

Since Jamal drives 3 times the hours that Danielle does. This will be:

= 3 × x = 3x

Since Jamal and Danielle drive for a total of 8 hours. This can be formed into a equation as:

x + 3x = 8

4x = 8

x = 8/4

x = 2

Danielle drive for 2 hours

Jamal drives for 2 × 3 = 6 hours

Answer:

No its not a Right Triangle

Answer:

c (100)

Step-by-step explanation:

on edg 2021 ^u^

The width of the tower at the top will be 92 m. Then the correct option is B.

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

A cooling tower is 120 meters tall.

The sides of the tower are in the shape of a hyperbola defined by the equation x²/500 – y²/900 = 1 with units in meters.

The center of the tower is at the origin.

Then the width of the tower at the top will be

x²/500 – (120)²/900 = 1

x²/500 – 14400/900 = 1

              x²/500 – 16 = 1

                      x²/500 = 1 + 16

                      x²/500 = 17

                              x² = 8500

                                x = 92.19 ≈ 92 m

Then the correct option is B.

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