Two sides of a parallelogram are 270 feet and 470 feet. The measure of the angle

between these sides is 9º. Find the area of the parallelogram to the nearest square

foot.

Answers

Answer 1

The area of a parallelogram with given sides and angle between them is equal to 19847 square foot.

Let us consider the two sides of a parallelogram be x feet  and y feet.

x = 270 feet

y = 470 feet

Angle between x and y is 9°

Diagonal divides the parallelogram into two congruent triangles

Area of a parallelogram = 2 × Area of a triangles

Area of triangle = ( 1/ 2) ( x × y × sin9° )

                          = (1/2) ( 270 × 470 × sin9° )

                          = ( 1/2) ( 270 × 470 × 0.1564 )

                          = 9923.58 square feet

Area of a parallelogram = 2 × 9923.58

                                        = 19847.16

                                        = 19847 square foot.

Therefore, the area of a parallelogram for the given measurements is equal to 19847 square foot.

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Related Questions

Find three consecutive odd integers that have a sum of 75.​

Answers

Let the first number be x

Then the second odd number would be x  +2

The third one would be x + 4

Add them together to equal 75:

x + x +2  + x+4 = 75

Simplify:

3x + 6 = 75

Subtract 6 from both sides:

3x = 69

Divide both sides by 3:

x = 23

First number = 23

Second number = 25

Third number = 27

Select True or False to correctly classify each inequality.
Inequality True False
2.6≤2.6 true or false
−6<−6true or false
3.1>−3.1 true or false
−5≥--5 true or false

Answers

\(2.6\le2.6\) classifies as \(\text{true}\)

\(-6<-6\) classifies as \(\text{false}\),

\(3.1>-3.1\) classifies as \(\text{true}\)

so \(-5\ge -5\) classifies as \(\text{true}\)

To classify the statements, we need to evaluate each of them:

\(\text{Evaluate }2.6\le2.6\\\implies (2.6<2.6)\text{ or }(2.6=2.6)\\\implies \text{false or true}\\\implies\text{true}\)

so \(2.6\le2.6\) classifies as \(\text{true}\), since the statement also allows \(2.6\) to be equal to itself.

\(\text{Evaluate }-6<-6\\\implies\text{false}\)

so \(-6<-6\) classifies as \(\text{false}\), since \(-6\) is equal to itself, not smaller.

\(\text{Evaluate }3.1>-3.1\\\implies \text{true}\)

so \(3.1>-3.1\) classifies as \(\text{true}\), since \(x>-x\), for all real numbers

\(\text{Evaluate }-5\ge-5\\\implies (-5>-5)\text{ or }(-5=-5)\\\implies \text{false or true}\\\implies\text{true}\)

so \(-5\ge -5\) classifies as \(\text{true}\), since the statement also allows \(-5\) to be equal to itself.

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4PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ​

4PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST

Answers

Answer:

9.3 ft

Step-by-step explanation:

What is the slope y =- 5x 3?

Answers

Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.

In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.

Slope-Intercept Form:

When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format  y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.

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a line has a slope of 5 and passes through the points (3,y) and (1,-6) solve for y

Answers

Answer:

y = 4

Step-by-step explanation:

Using the slope, m = 5, and the given point, (1, -6), plug in these values into the point-slope formula:  

y - y1 = m(x - x1)

y - (-6) = 5(x - 1)

y + 6 = 5x - 5

Subtract 6 on both sides of the equation to isolate y:

y + 6 - 6  = 5x - 5 - 6

y= 5x - 11

Therefore, the linear equation in slope-intercept form is y = 5x - 11.  

To find the value of the y-coordinate in point (3, y ):

Plug in the value of x = 3 into the equation, y = 5x - 11

y= 5x - 11

y= 5(3) - 11

y = 15 - 11

y = 4

Therefore, the value of the y-coordinate in point (3, y) is 4.

So y’all rlly not abt to help me :( I’ve been posting the same thing for 2 days know help a dummy out plzzz
Describe and correct the error in finding the product

So yall rlly not abt to help me :( Ive been posting the same thing for 2 days know help a dummy out plzzz

Answers

Step-by-step explanation:

the 2 and the t were combined when they weren't like terms, combined your like terms first and then answer

Help I will be marking brainliest!!!

A. 109°
B. 34.5°
C. 62.5°
D. 69°

Show work, if possible. Thanks❤️

Help I will be marking brainliest!!!A. 109B. 34.5C. 62.5D. 69Show work, if possible. Thanks

Answers

Answer: it should be 34.5

Step-by-step explanation:

Consider the array A=⟨30,10,15,9,7,50,8,22,5,3⟩. 1) write A after calling the function BUILD-MAX-HEAP(A) 2) write A after calling the function HEAP-INCREASEKEY(A,9,55). 3) write A after calling the function HEAP-EXTRACTMAX(A) Part 2) uses the array A resulted from part 1). Part 3) uses the array A resulted from part 2). * Note that HEAP-INCREASE-KEY and HEAP-EXTRACT-MAX operations are implemented in the Priority Queue lecture.

Answers

The maximum element 50 is removed from the heap, and the remaining elements are rearranged to form a new max-heap.

After calling the function BUILD-MAX-HEAP(A), the array A will be:

A = ⟨50, 30, 22, 9, 10, 15, 8, 7, 5, 3⟩

The BUILD-MAX-HEAP operation rearranges the elements of the array A to satisfy the max-heap property. In this case, starting with the given array A, the function will build a max-heap by comparing each element with its children and swapping if necessary. After the operation, the resulting max-heap will have the largest element at the root and satisfy the max-heap property for all other elements.

After calling the function HEAP-INCREASEKEY(A, 9, 55), the array A will be:

A = ⟨50, 30, 22, 9, 10, 15, 8, 7, 55, 3⟩

The HEAP-INCREASEKEY operation increases the value of a particular element in the max-heap and maintains the max-heap property. In this case, we are increasing the value of the element at index 9 (value 5) to 55. After the operation, the max-heap property is preserved, and the element is moved to its correct position in the heap.

After calling the function HEAP-EXTRACTMAX(A), the array A will be:

A = ⟨30, 10, 22, 9, 3, 15, 8, 7, 55⟩

The HEAP-EXTRACTMAX operation extracts the maximum element from the max-heap, which is always the root element. After extracting the maximum element, the function reorganizes the remaining elements to maintain the max-heap property.

In this case, the maximum element 50 is removed from the heap, and the remaining elements are rearranged to form a new max-heap.

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Please help have to turn in at 3:00

Please help have to turn in at 3:00

Answers

Answer:

Pyramid : 81

Cylinder : 345.58

Step-by-step explanation:

Will reward the best answer brainliest.

Use elimination method to solve
-3x + 3y = 4
-x + y = 3​

Answers

no solution

to eliminate a variable you need to multiple the second equation by either a 3 and then subtract the two equations or by a -3 and add the two equations.
after changing it, instead of eliminating only one variable, both variables are eliminated and there is no solution

i hope this makes sense, not sure how else to explain

suppose 82% of all students at a large university own a computer. if 6 students are selected independently of each other, what is the probability that exactly 4 of them owns a computer?

Answers

The probability that exactly 4 out of 6 selected students own a computer is approximately 0.3493, or 34.93%.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.

To calculate the probability of exactly 4 out of 6 selected students owning a computer, we can use the binomial probability formula:

\(P(X = k) = C(n, k) * p^k * (1 - p)^{(n - k)\),

where:

- P(X = k) is the probability of exactly k successes (4 students owning a computer),

- C(n, k) is the number of combinations of selecting k items from a set of n items (also known as the binomial coefficient),

- p is the probability of success (the proportion of students owning a computer), and

- n is the total number of trials (number of students selected).

In this case, n = 6, k = 4, and p = 0.82.

Using the formula, we can calculate the probability:

\(P(X = 4) = C(6, 4) * 0.82^4 * (1 - 0.82)^{(6 - 4)\),

C(6, 4) = 6! / (4! * (6-4)!) = 15,

\(P(X = 4) = 15 * 0.82^4 * 0.18^2\),

P(X = 4) ≈ 0.3493.

Therefore, the probability that exactly 4 out of 6 selected students own a computer is approximately 0.3493, or 34.93%.

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the price for bananas was 75 cents per pound over last month. today, we see that it's been marked up to 81 cents per pound. what is the increase in percent

Answers

When bananas cost 75 cents per pound over the previous month, the increase was 8%. Today, we notice that the price per pound has increased to 81 cents.

What is percent?

In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Here,

The solution is attached in image.

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the price for bananas was 75 cents per pound over last month. today, we see that it's been marked up

An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. He believes that the mean income is $28.4, and the standard deviation is known to be $6.6. How large of a sample would be required in order to estimate the mean per capita income at the 85% level of confidence with an error of at most $0.56

Answers

To estimate the mean per capita income for a major city in California with an error of at most $0.56 at the 85% confidence level, the economist needs to determine the required sample size.

To calculate the required sample size, we can use the formula: \(n = \left(\frac{{Z \cdot \sigma}}{{E}}\right)^2\), where \(n\) is the sample size, \(Z\) is the Z-score corresponding to the desired confidence level (in this case, for 85% confidence level, \(Z \approx 1.44\)), \(\sigma\) is the known standard deviation (\$6.6), and \(E\) is the desired margin of error (\$0.56). Plugging in the values, we have \(n = \left(\frac{{1.44 \cdot 6.6}}{{0.56}}\right)^2 \approx 52\). Therefore, a sample size of approximately 52 would be required to estimate the mean per capita income with an error of at most $0.56 at the 85% confidence level.

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which list shows fractions that always result in a terminating decimal for values of n>0

Answers

Answer:

B

Step-by-step explanation:

m

What are the leading coefficient and degree of the polynomial?
-7 -10w^7+12w +
15w^9

Answers

Rewritten:
15w^9 - 10w^7 + 12w - 7

Leading coefficient: 15

Degree of the polynomial: 9

I have selected Newmont Mining Corporation as the company. I also have to select a comparison company in
the same industry which I don't know which one to pick. 1. For the two companies, using the year of the annual report, I need to calculate the ratios covered. I can calculate at least two years of ratios from the latest
report. I have to show your calculations.
I also have to compare and contrast the two companies. Thave to use the numbers to identify areas of relative
strength and relative weakness. 2. I have to use the three ratios that determine ROE to
compare and contrast the two companies' ROE values. 3. Then I have to find the top three risks identified by the
company in the 10-K?

Answers

1. Newmont Mining Corporation is a mining company, but the comparison company has not been specified. Therefore, I am unable to provide specific calculations or comparisons.

2. The three ratios that determine Return on Equity (ROE) can be used to compare and contrast the ROE values of the two companies once the comparison company is selected.

3. The top three risks identified by Newmont Mining Corporation can be found in their 10-K report.

1. Without knowing the specific comparison company within the same industry, I cannot perform calculations or provide a detailed comparison of ratios. Once the comparison company is specified, financial ratios such as liquidity ratios (current ratio, quick ratio), profitability ratios (gross profit margin, net profit margin), and leverage ratios (debt-to-equity ratio, interest coverage ratio) can be calculated for both companies to assess their relative strengths and weaknesses.

2. The three ratios that determine Return on Equity (ROE) are the net profit margin, asset turnover ratio, and financial leverage ratio. These ratios can be used to compare and contrast the ROE values of Newmont Mining Corporation and the selected comparison company. The net profit margin measures the company's profitability, the asset turnover ratio assesses its efficiency in generating sales from assets, and the financial leverage ratio evaluates the extent of debt used to finance assets.  

3. To identify the top three risks identified by Newmont Mining Corporation, one would need to review the company's 10-K report. The 10-K report is an annual filing required by the U.S. Securities and Exchange Commission (SEC) and provides detailed information about a company's operations, financial condition, and risks. Within the 10-K, the "Risk Factors" section typically outlines the significant risks faced by the company. By reviewing this section of Newmont Mining Corporation's 10-K report, the top three risks identified by the company can be identified, providing insights into the challenges and potential vulnerabilities the company faces in its industry.

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Evaluate yz + x² x=3.2, y=6.1, z=0.2

Answers

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

It is Erika's turn to spin in a game she is playing with her friends. What is the probability that Erika will get to move ahead on this spin ? A)5/8 B)1/3 C)3/8 D)1/2

Answers

don’t think I know that one

Answer:

1/2

Step-by-step explanation:

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART

PLEASE GIVE EXPLANATION

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND

Answers

Answer:

Second option

Step-by-step explanation:

The cosine function is represented in the graph. that eliminates two options. The period of the function can be calculated by finding the value of b, and then the wavelength. This eliminates the first option, because the period in the graph is pi. 2nd option is correct

I need help please with this equation

I need help please with this equation

Answers

Answer:

The chosen topic is not meant for use with this type of problem.

3

,  

(

1

,

3

)

5

,  

(

1

,

1

)

4

,  

(

2

,

4

)

Step-by-step explanation:

What is the equation of the line shown in the graph?

What is the equation of the line shown in the graph?

Answers

y=2x-4
The slope is 2 and the y intercept is -4

At Smith Mountain Lake Boat Rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengal family rented a boat from 11 am - 6:30 pm and paid $226.50. If the Jones family rented a boat from 8 am- 1pm, how much did the pay?

Answers

Answer: $164

Step-by-step explanation:

25*7=175

175+12.5

226.50-187.50

5*25=125+39

Jones family payed $164

How much do you need to save each month to be able to buy her the bracelet of her dreams?

How much do you need to save each month to be able to buy her the bracelet of her dreams?

Answers

Answer:

$55

Explanation:

If you already have $30 and the bracelet cost $250, you need to save $220 in the next four months because:

$250 - $30 = $220

Then, to know how much do you need to save each month, we need to divide $220 by 4, so:

$220 ÷ 4 = $55

Therefore, you need to save $55 each month to be able to buy the bracelet.

Please help! 40 points! Convert the following function from vertex form to standard form. Show your work.

f(x) = 3(x — 8)^2 — 160

Answers

The required standard form of the function is f(x) = 3x² - 48x + 32.

The vertex form of a quadratic function is:

f(x) = a(x - h)² + k

Where (h, k) is the vertex of the parabola and a is a coefficient that determines the shape of the parabola.

In the given function, we can see that the vertex is at (8, -160) and a is 3. So we have:

f(x) = 3(x - 8)² - 160 (vertex form)

Expanding the square, we get:

f(x) = 3(x - 8)(x - 8) - 160

f(x) = 3(x² - 16x + 64) - 160

Distributing the 3, we get:

f(x) = 3x² - 48x + 192 - 160

Simplifying, we get:

f(x) = 3x² - 48x + 32

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Simplify x + 3x – 36.

3x – 36

3x2 – 36

4x – 36

4x2 – 36

Answers

Answer:

4x - 36

Step-by-step explanation:

All we do in this equation is combine the like terms x and 3x and get 4x - 36 :)

4x-36 your welcome love thank me later!

question what is the hundredths digit of the decimal z ? (1) the tenths digit of 100z is 2. (2) the units digit of 1,000z is 2.

Answers

We can infer that those assertions do not provide us with adequate details on the hundredths in the decimal system.

What do we mean by a decimal?

The decimal numeral system is widely used to express both integer and non-integer numbers.

The Hindu-Arabic number system has been expanded to include non-integer values.

The way of representing numbers in the decimal system is known as decimal notation.

(1) Since 2 is the eleventh digit of 100z, we may begin writing 100z.

10z = 100(a.bcd)

The decimal point is moved two places to the right by multiplying by 100, giving us the value of:

10z = 100abc.d

Then we shall have d = 2 if the tenths of 100z equal 2.

We have so far: z = a.bc2

(2) Since 1000z's units digit is 2, we may begin writing 1000z.

1000z = 1000a.bc2

We need to move the decimal point three places to the right so that we have order to multiply by 1000:

1000z = abc2

As a result, we can now confirm that the unit digit is actually 2.

However, the number is as follows: z = a.bc2

Therefore, we can infer that those assertions do not provide us with adequate details on the hundredths in the decimal system.

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find the volume of the sphere. leave your answer in terms of pi
r=4​

Answers

Answer:

To find an answer in pi square the radius and multiply by pi

Step-by-step explanation:

To

find volume of a sphere = 4/3Πr³

Answer =17,164.2pi Am not sure but i hope its correct.

please help me with this

please help me with this

Answers

A- 34

The angels are equal

) There are two urns, the first contains w1 white balls and b1 black balls while the second contains w2 white balls and b2 black balls. One ball is drawn from each randomly and then one ball is drawn from among those two. What is the probability that last ball drawn is white

Answers

The probability that the last ball drawn is white is: P = P1 + P2 = (w1b2 + b1w2)/(w1 + b1)(w2 + b2)

There are two urns, the first urn contains w1 white balls and b1 black balls while the second urn contains w2 white balls and b2 black balls. One ball is drawn from each urn randomly and then one ball is drawn from among those two. We need to find the probability that the last ball drawn is white.

The probability that the first ball drawn is white from urn 1 = P(w1) = w1/(w1 + b1)The probability that the first ball drawn is white from urn 2 = P(w2) = w2/(w2 + b2)The probability that both first balls drawn are white = P(w1) x P(w2) = w1w2/(w1 + b1)(w2 + b2)The probability that the last ball drawn is white can happen in two ways: First ball is white, Second ball is black, and the third ball is white. Second ball is white, First ball is black, and the third ball is white.

The probability of these two events are:   P1 = P(w1) x P(b2) x P(w1 or w2)   P2 = P(b1) x P(w2) x P(w1 or w2)As P(w1 or w2) = P(w1) x P(w2) + P(b1) x P(b2)Using this in P1 and P2, we have:P1 = (w1/(w1 + b1)) x (b2/(w2 + b2)) x [w1w2/(w1 + b1)(w2 + b2)]P2 = (b1/(w1 + b1)) x (w2/(w2 + b2)) x [w1w2/(w1 + b1)(w2 + b2)]

Hence, the probability that the last ball drawn is white is: P = P1 + P2 = (w1b2 + b1w2)/(w1 + b1)(w2 + b2)

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Eugene and Jill are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Eugene sold 3 rolls of plain wrapping paper and 11 rolls of shiny wrapping paper for a total of $168. Jill sold 10 rolls of plain wrapping paper and 11 rolls of shiny wrapping paper for a total of $252. What is the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper?

Answers

Answer:

let p = cost of 1 plain wrapping paper

let h = cost of 1 shiny rolls wrapping paper

Write an equation for each statement,

" Eugene sold 3 rolls of plain wrapping paper and 11 rolls of shiny wrapping paper for a total of $168 "

3p + 11h = $168

Jill sold 10 rolls of plain wrapping paper and 11 rolls of shiny wrapping paper for a total of $252."

10p + 11h = $252

Use elimination here,

10p + 11h = $252

3p + 11h = $168

subtraction eliminates h, find p

7p = $84

p = 84/7

p = $12 for wrap of plain paper

Find h using the 1st original equation

3(12) + 11h = 168

36+ 11h = 168

11h = 168 - 36

11h = 132

h = 132/11

h = $12 for shiny wrapping paper

Therefore each plain wrapping paper costs $12 and each shiny wrapping paper costs same $12 !

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