A line and a plane intersect at a

A.ray
B.point
C.plane
D.line

Answer:

d

Step-by-step explanation:

Answer:

A=38.24

Step-by-step explanation:

Compound Area

The figure shows a shape formed by two shapes: Half a circle and a trapezium.

The circle has a radius of r=5.2/2=2.6 and the trapezium has a height of h=6.5 and bases b1=5.2 and b2=3.3.

The area of half a circle is:

\(\displaystyle A_c=\frac{\pi r^2}{2}\)

Using pi = 3.14:

\(\displaystyle A_c=\frac{3.14\cdot 2.6^2}{2}=10.6132\)

The area of the trapezium is:

\(\displaystyle A_t=\frac{b_1+b_2}{2}.h\)

\(\displaystyle A_t=\frac{5.2+3.3}{2}\cdot 6.5=27.625\)

The total area of the figure is:

\(A=10.6132+27.625=38.2382\)

Rouning to the nearest hundredth:

A=38.24

Answer:

The Correct answer is A

Step-by-step explanation:

b) because r²=q²+p²,p²=r²-q² not

r²+q²

c) (p+q)²=r²

is not correct because

(p+q)²=(p+q)(p+q)

d) p²+r²=q² wrong

because

q²=r²-p²

Answer:

$7.20

Hope I helped

Answer:

A

Step-by-step explanation:

I think its A.. correct me if im wrong

Answer:

B

Step-by-step explanation:

Answer:

4 √6

Step-by-step explanation:

We have a few right triangles. We know that a²+b²=c², with c being the side opposite the right angle. Representing the side without a value as z, we have:

m²+z² = (8+4)² = 12²

4²+n²=z²

8²+n²=m²

We have 3 equations with 3 unknown variables, so this should be solvable. One way to find a solution is to put everything in terms of m and go from there. First, we can take n out of the equations entirely, removing one variable. We can do this by solving for it in terms of z and plugging that into the third equation, removing a variable as well as an equation.

4²+n²=z²

subtract 4²=16 from both sides

z²-16 = n²

plug that into the third equation

64 + z² - 16 = m²

48 + z² = m²

subtract 48 from both sides to solve for z²

z² = m² - 48

plug that into the first equation

m² + m² - 48 = 144

2m² - 48 = 144

add 48 to both sides to isolate the m² and its coefficient

192 = 2m²

divide both sides by 2 to isolate the m²

96 = m²

square root both sides to solve for m

√96 = m

we know that 96 = 16 * 6, and 16 = 4², so

m = √96 = √(4²*6) = 4 √6

Answer:

53 degrees

Step-by-step explanation:

Angle N = angle E

because angle made by joining end points of same chord on circumference are always equal.

so angle E = 37

Angle D = 90 ( because angle made by diameter on circumference is 90 degrees)

Now in Triangle DEC. Sum if all the angles of triangle us 180

Angle D + angle E + ? = 180

37 + 90 + ? = 180

127 + ? = 180

? = 180 - 127

? = 53 degrees

Step-by-step explanation:

everything can be found in the picture

The power generated by the student after 4 seconds is one-fourth of the power generated by the student after 2 seconds.

Power generated by a student when standing up from a chair depends on the height, mass, and acceleration of the student.

If we assume that all other factors remain constant, the power generated by a student can be calculated using the equation:

Power = Work done / time Taken

The energy required to lift a student of mass m to a height h is given by the equation:

mgh, where g is the acceleration due to gravity.

Therefore, the work done in lifting the student from a chair is given by the equation:

mgh.

The acceleration of the student is given by the equation:

a = (final velocity - initial velocity) / time Taken.

For the student standing up from a chair, the initial velocity is zero.

Therefore, the acceleration is given by the equation:

a = (2h / timeTaken²)

The power generated by the student after 2 seconds is:

P1 = (mgh / 2) × (2h / 2²)

P1 = (mgh² / 4)

The power generated by the student after 4 seconds is:

P2 = (mgh / 2) × (2h / 4²)

P2 = (mgh² / 16)

Comparing P1 and P2, we can see that the power generated by the student after 4 seconds is:

P2 = P1 / 4

Therefore, the power generated by the student after 4 seconds is one-fourth of the power generated by the student after 2 seconds.

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Step-by-step explanation:

3.65<x<3.75

plsss mark brainliestt

Answer:

D

Step-by-step explanation:

Answer:

\(d)\ y=\frac{1}{3}x +2\)

Step-by-step explanation:

Slope (m) form: \(\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-2}{3-0} \\\\m=\frac{1}{3} \\\\m=\frac{1}{3}\)

\(y=mx+b\\y=\frac{1}{3}x +b\)

(3, 3)

\(y=\frac{1}{3}x +b\\3=\frac{1}{3}(3) +b\\3=1+b\\-1-1\\2 =b\)

\(y=\frac{1}{3}x +2\)

Check your answer:

\(y=\frac{1}{3}x+2 \\3=\frac{1}{3}(3)+2\\3=1+2\\3=3\)

This statement is true

Hope this helps!

Answer:

DTI ratio in percentage = 42.36

Step-by-step explanation:

Annual salary = $47334

This means that gross monthly pay = 47334/12 = $3944.5

Now,

Total monthly debt payments = 1115 + 336 + 112 + 108 = $1671

Debt to income ratio = (1671/3944.5) × 100% = 42.36%

Since we are told not to put the % symbol, then answer is 42.36

Step-by-step explanation:

hope this helps.......

should be the first one on odssey

No, the sample in this case is not random.

The sample in this case is not random. Random sampling involves selecting individuals from a population in such a way that each individual has an equal chance of being selected. In the given scenario, the sample consists only of students who buy hot lunch on a particular day.

This sampling method is not random because it introduces a bias by including only a specific subgroup of students who have chosen to buy hot lunch. It does not provide an equal opportunity for all students in the population to be selected for the survey.

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Answer:

19.85

Step-by-step explanation:

158.80 divided by 8 is 19.85

The real and the imaginary parts of the complex number is 8 - 7i√5. The real part is 8 and the imaginary part is - 7i√5

Complex numbers are useful when determining the square root of negative values. The combination of a real number with an imaginary number is a complex number.

A complex number is often symbolized by the symbol z and has the form a + ib. The real component of the complex number, z = a + ib, is shown as (a) with respect to the x-axis, while the imaginary part,( ib), is shown with respect to the y-axis.

Given:

8 - √-245

Rewite -245 as -1(245)

8 - √-1(245)

8 - (√-1 * 245)

8 - (i * √245)

8 - (i * (√7² * 5))

8 - i (7√5)

8 - 7i√5

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Answer:

∠Z = 155°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

So to find the value of ∠Z we can write the following equation:

65 + 90 = z

155 = z

Answer:

$11.40

Step-by-step explanation:

$1.90*6=$11.40

\(volume = lwh\)

\(volume = (80)(40)(100)\)

\(volume = 320000 \: {cm}^{3} \)

You need a volume of 320000 cm³ of water to fill the water cooler.

Answer:

(72 divided by 6) + 6

Step-by-step explanation:

78 divided by 6 is 13. The question (72 divided by 6) + 6 does not equal to 13, it equals to 14, therefore (72 divided by 6) + 6 is not equivalent.

Answer:

(72 divided by 6) + 6

Step-by-step explanation:

the radius of the circle is 30 cm when the circumference is 188.4 . The length of the boundary is its circumference.

A boy has traveled a certain distance if, after sprinting around the park once, he arrives at point "A" from point "A" in the first place. The park's circumference, which has the shape of a circle, is the length or border that it encompasses. The length of the boundary is its circumference.

calculation

Circumference=2πr

188.4=2×3.14×r

188.4=6.28×r

r= 188.4/6.28

radius=30cm

the radius of circle is 30 cm when the circumference is 188.4 .

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Answer:

∠6 = 78°.

Step-by-step explanation:

∠3 = 78°

∠2 and ∠3 are vertical angles, => ∠2 = ∠3 = 78°.

∠2 and ∠6 are corresponding angles, => ∠6 = 78°.

Answer:

\(\displaystyle 78° = m\angle{6}\)

Explanation:

As you can see, angles \(\displaystyle 6\:and\:3\)are alternate interiour angles, and accourding to the Alternate Interiour Angles Theorem, these angles are considered congruent, therefore seventy-eight degrees is also the measure of the sixth angle.

I am joyous to assist you at any time.

The interest rate is 11.05%.

What is the interest rate?

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Here, we have

Given:  an investment of $5,000 to grow to $8,000 in 9 years if interest is compounded continuously.

We have to find the interest rate.

Investment = $5,000

Time(x) = 9 years

n = 12

Annual amount = $8,000

A = P(1+r/n)ⁿˣ

r = n(A/P)⁻ⁿˣ - 1

r = 12(8000/5000)⁻¹⁰⁸ - 1

r = 12(1.6)⁻¹⁰⁸ -1

r = 12(1.0043) - 1

r = 11.05%

Hence, the interest rate is 11.05%.

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a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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The stem-and-leaf display organizes the given data set of lanzones weights (in kg) by kaing. Each stem represents the tens digit, and the corresponding leaf values represent the ones digit of each weight.

To organize the given data set using a stem-and-leaf display, follow these steps:

1. Identify the stems: The stems will be the tens digit of each weight.

2. Write down the stems in ascending order: In this case, the possible stems will be 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

3. Write the corresponding leaf values: The leaf values will be the ones digit of each weight, arranged next to their respective stems.

4. Count the number of leaf values for each stem and record it next to the stem.

5. Arrange the stems and leaf values in a table format, with stems on the left and leaf values on the right.

Here's an example of how the stem-and-leaf display could look like:

Stem | Leaves
0    | 5
1    | 1, 5, 9
2    | 0, 2, 3, 3, 5, 7
3    | 0, 2, 3, 4, 5, 6, 7, 8, 9
4    | 0, 0, 2, 3, 5, 5, 7, 8, 9, 9
5    | 0, 1, 2, 3, 4, 4, 4, 4, 6, 6, 6, 8
6    | 0, 1, 2, 2, 3, 4, 4, 4, 4, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9
7    | 0, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 6, 6, 6, 7, 7, 8, 9
8    | 0, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 7, 7, 7, 8
9    | 1, 2, 2, 3, 5, 5, 5, 5, 5, 7, 7, 7, 8, 9

The stem-and-leaf display organizes the given data set of lanzones weights (in kg) by kaing. Each stem represents the tens digit, and the corresponding leaf values represent the ones digit of each weight. This display provides a visual representation of the data set, making it easier to analyze and identify patterns or trends.

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Answer:

V = 432 inches^3

Step-by-step explanation:

V = 1/3 (18)^2 (4)

V = 1/3 (1296)

V = 1296/3

V = 432

Answer:

She would have 12.13 cents left over

Step-by-step explanation:

Answer: The answer is $23.95

Step-by-step explanation: You could get the answer by adding 7.65+7.65+8.65 or 7.65x7.65+8.65

a. EVA (Economic Value Added) measures a company's economic profit by deducting the cost of capital from net operating profit after taxes.

b. EVA is a more comprehensive and suitable measure compared to EPS or ROE in evaluating a company's value creation.

a. EVA (Economic Value Added) is a financial metric that measures the economic profit generated by a company. It is calculated by subtracting the company's cost of capital from its net operating profit after taxes. EVA is significant because it provides a more accurate measure of a company's financial performance than traditional metrics like net profit or earnings per share. By deducting the cost of capital, EVA takes into account the opportunity cost of using capital and provides a clearer picture of whether a company is creating value for its shareholders.

b. EVA is a comprehensive measure that considers both the profitability and capital efficiency of a company, making it a more holistic indicator of performance compared to metrics like EPS (Earnings Per Share) or ROE (Return on Equity). While EPS focuses solely on the profitability of a company, and ROE measures the return generated on shareholders' equity, EVA takes into account the total capital employed and the cost of that capital. This makes EVA more suitable for evaluating the true economic value generated by a company.

In the Indian context, EVA can be a valuable metric for assessing corporate performance. It provides insights into how efficiently a company utilizes its capital and whether it is creating value for its shareholders. However, the adoption and use of EVA may vary among Indian companies, as it requires accurate and transparent financial data, as well as a thorough understanding of the concept and its calculation. Nevertheless, for companies that prioritize value creation and long-term sustainable growth, EVA can be a valuable tool for evaluating performance.

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Answer:

exterior angle = 36°

Step-by-step explanation:

In any polygon

exterior angle + interior angle = 180°

let x be the exterior angle then interior angle is 4x , then

x + 4x = 180

5x = 180 ( divide both sides by 5 )

x = 36

thus exterior angle = 36°