Diane starts to get frustrated that the plane is off-course, so she takes the controls. Shewants to get the plane to fly at an angle of 25° North of East, with a resultantgroundspeed of 140 kilometers per hour. She knows she must "aim" the airplane at anangle that compensates for wind. At what angle should she direct the airplane to fly?

Answers

Answer 1

We know that the wind is blowing from north to south with a speed of 32 km per hour, let's call the wind vector W, then it can be written as

\(\vec{W}=-32\hat{j}\)

We also know that Diane wants the plane to fly north of east at an angle of 25° and a speed of 140 km/h. This means that the resultant should be

\(\vec{R}=140\cos 24\hat{i}+140\sin 24\hat{j}\)

Now, we would like to know at what angle Diane should fly tha plane. To find this we will introduce a vector T whose magnitud and direction are unknown.

Then

\(\vec{T}=T\cos \theta\hat{i}+T\sin \hat{j}\)

Now, we know that the resultant is

\(\vec{R}=\vec{T}+\vec{W}\)

then

\(\begin{gathered} 140\cos 25\hat{i}+140\sin 25\hat{j}=T\cos \theta\hat{i}+T\sin \theta\hat{j}+(-32\hat{j}) \\ 140\cos 25\hat{i}+140\sin 25\hat{j}=T\cos \theta\hat{i}+(T\sin \theta-32)\hat{j} \end{gathered}\)

Since the unit vector i and j are independent this gives us two equations

\(\begin{gathered} 140\cos 25=T\cos \theta \\ 140\sin 25=T\sin \theta-32 \end{gathered}\)

From the first equation we have that

\(T=\frac{140\cos 25}{\cos \theta}\)

Plugging the value of T in the second equation we have

\(140\sin 25=(\frac{140\cos25}{\cos\theta})\sin \theta-32\)

Now we need to solve this equation for theta.

\(\begin{gathered} 140\sin 25=(\frac{140\cos25}{\cos\theta})\sin \theta-32 \\ 140\sin 25+32=(140\cos 25)\frac{\sin \theta}{\cos \theta} \\ \frac{\sin\theta}{\cos\theta}=\frac{140\sin 25+32}{140\cos 25} \end{gathered}\)

Now we have to remember that

\(\frac{\sin\theta}{\cos\theta}=\tan \theta\)

hence

\(\begin{gathered} \tan \theta=\frac{145\sin 25+32}{145\cos 25} \\ \theta=\tan ^{-1}(\frac{145\sin 25+32}{145\cos 25}) \\ \theta=35.7 \end{gathered}\)

Therefore Diane has to direct the airplane at an angle of 35.7° North of east.


Related Questions

If the treasurer buys 9 packages of brownie bites, how many packages of cookies are needed according to this equation?

Answers

Answer:

Step-by-step explanation:

24

Solve for the formula for the indicated variable. A= 1/2 bh, for h

Answers

The value of the h is A(2) / b when the formula is A = 1/2bh the formula is area of the triangle.

Given that,

We have a formula A = 1/2bh

We have to find h value from the formula.

We know that,

The variable h should be on one side of the equation, and the rest should be on the other. Divide the two sides in half as a good place to start. In this way, we eliminate the undesirable fraction.

A / 1/2 = 1/2bh / 1/2

Now on the right hand side left the 1/2 cancels out.

A / 1/2 = bh

And when a fraction is divided, the result is the same as multiplying it backwards.

A(2/1) = bh

Now, divide both sides by b.

A(2) / b = bh/b

On the left hand side b cancels out and we are left with the final product.

h = A(2) / b

Therefore, The value of the h is A(2) / b when the formula is A = 1/2bh the formula is area of the triangle.

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Triangle PQR has vertex coordinates at P(4, 0), Q(5, 4), R(5, 1). If the triangle is translated so that Q′(0, 4), determine the translation direction and number of units.

5 units down
5 units up
5 units to the right
5 units to the left

Answers

The translation direction is 5 units to the left.

To determine the translation direction and number of units, we can compare the original coordinates of point Q (Q(5, 4)) with the new coordinates of Q' after the translation (Q'(0, 4)).

By comparing the x-coordinates, we can see that the x-coordinate of Q' is smaller than the x-coordinate of Q, which means the triangle was translated to the left.

By comparing the y-coordinates, we can see that the y-coordinate of Q' is the same as the y-coordinate of Q, which means there was no vertical translation.

Therefore, the translation direction is 5 units to the left.

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A photographer rented a booth at an art fair for
$630. The photographer sold each photograph
for $45 and made a total of $1,980 after
paying for the booth. How many photographs
did the photographer sell at the fair?

Answers

Answer:

58

Step-by-step explanation:

1980+630 then divide by 45

3,11,19 find the 38th term

Answers

Answer:

299

Step-by-step explanation:

Each term adds 8 to the previous term

  an = a1 + (n-1) * 8

  38th = 3 + 37 * 8 = 299

Questions 16. Santhosh and Co. Chennai, opened a branch at Trichy on 1.1.2018. The following Information relate to the branch for the year 2018.

40,000

36,000

9,000

7200

3,600

30,000

16,200

300

3,000

Prepare branch account to find out the profit or loss of branch. Santosh & Co, Chennai opened its branch in Trichy on 1.1.2018. The action for 2018 is as follows

Credit sales at branch

Office expenses by Head office

Cash remittance to branch for petty cash Stock 31.12.2018

Goods sent to Branch

Salaries paid by head office

Debtors 31.12.2018

Petty cash on 31.12.2018

Cash sales at branch

of

Answers

The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

Income Statement

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

What is an income statement?

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

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Which points on the number line are included in the solution set of this inequality? (GIVING BRAINLIEST

Which points on the number line are included in the solution set of this inequality? (GIVING BRAINLIEST

Answers

Answer:

The points  -3, 5 and 8 are included in the solution set

Step-by-step explanation:

2 ≤ |x-3| ≤ 6

x-3 ≥ 2 or x-3 ≤ -2       -->      x ≥ 5 or x ≤ 1

-6 ≤ x-3 ≤ 6   -->  -3 ≤ x ≤ 9

-9  and -5 are smaller than -3 so they don't hold for the second inequality. -3  fits in both. but 0 and 2 don't fit in the first one.

then 5 does and 8 is included too.

The points  -3, 5 and 8 are included in the solution set

7) You buy a new car for $25,000 and it begins
to depreciate value as soon as you drive it off
the lot. The car depreciates at an annual rate
of 7%. Write an exponential equation that
shows what is happening to the value of the
car over time.

Answers

Answer:

y=25,000(0.07)^t

Step-by-step explanation: t= year/month. not specified, but year is most appropriate for these kind of equations.

86n + 13 ≤ 99 or n + 90 ≥ 97

Does anybody know the answer?

Answers

Answer:

n ≤ 1 or n ≥ 7

Step-by-step explanation:

solve each part separately

86n + 13 ≤ 99 ( subtract 13 from both sides )

86n ≤ 86 ( divide both sides by 86 )

n ≤ 1

n + 90 ≥ 97 ( subtract 90 from both sides )

n ≥ 7

solution is n ≤ 1 or n ≥ 7

AVENGERS: The Avender movie made $1.6 million in ticket sales. Its sequel made $0.8 million in ticket sales. How much more than the first movie make than the sequel. (a) Write and equation and solve it (b) Write your answer in a complete sentence in context of the problem

Answers

Answer:

(a) \(\text{Difference}=\text{First}-\text{Sequel}\)

(b) The amount by which the first movie made more than the sequel is $0.8 million.

Step-by-step explanation:

It is provided that:

The Avengers movie made $1.6 million in ticket sales. The sequel made $0.8 million in ticket sales.

(a)

The equation representing the amount by which the first movie made more than the sequel is:

\(\text{Difference}=\text{First}-\text{Sequel}\)

(b)

Compute the difference value as follows:

\(\text{Difference}=\text{First}-\text{Sequel}\\=\$1.6-\$0.8\\=\$0.8\)

Thus, the the amount by which the first movie made more than the sequel is $0.8 million.

5.6.8 let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e). show that this need not be true if f is continuous but not uniformly continuous.
Proof. (1): To prove {f(xn)} is a Cauchy sequence just need to prove ∀ > 0, ∃N, s.t.,∀n, m > N,
have |f(xn) − f(xm)| < . Since f is uniformly continuous on set E, thus ∀ > 0, ∃δ > 0, s.t.,
∀x, y ∈ E, if |x − y| < δ,then |f(x) − f(y)| < .as {xn} is a Cauchy sequence, then ∃N, s.t.,
∀n, m > N, |xn − xm| < δ, thus |f(xn) − f(xm)| < which proves {f(xn)} is a Cauchy sequence.
(2): for example f(x) = 1
x
, x ∈ (0, 2) which is continuous but not uniformly continuous. {
1
n
} is
a Cauchy sequence, however, {f(xn)} does not converge which proves that it is not a Cauchy
sequence.

Answers

Showing that this need not be true if f is continuous but not uniformly continuous.

Given :

let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e).

( 1 )

If f is uniformly continuous on E, then given ε > 0 there is δ > 0 such that if x, y are in E and |x−y| < δ,

then |f(x) − f(y)| < ε. Let (xn) be a Cauchy sequence in E. Then given δ > 0 there is N such that if p, q > N,

then |xp − xq| < δ, and thus |f(xp) − f(xq)| < ε, implying that (f(xn)) is a Cauchy sequence.

( 2 )

Let E = {1, 1/2, 1/3, · ·  } and f(1/n) = 1 is n is odd, f(1/n) = −1 if

n is even. Then f is continuous but not uniformly continuous. The sequence (xn) = (1/n) in E is Cauchy but the

sequence (f(xn)) = (1, −1, 1, −1, · · ·) is not Cauchy.

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Brooklyn is going to invest in an account paying an interest rate of 3.5% compounded continuously. How much would Brooklyn need to invest, to the nearest ten dollars, for the value of the account to reach $64o in 9 years?

Answers

Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?

Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections

Answers

Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

10 ÷ 8 = 1.25

Use the function f(x) to answer the questions:
F(x)=2x²-x-10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show
work. (3 points)
Part C: What are the steps you would use to graph fx)? Justify that you can use the answers obtained in Part A and Part B to draw the graph (5 point

Answers

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

This equation can be factored as:

(2x + 5)(x - 2) = 0

Setting each factor equal to zero, we get:

2x + 5 = 0 => 2x = -5 => x = -5/2

x - 2 = 0 => x = 2

Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.

Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).

In this case, a = 2 and b = -1. Plugging these values into the formula, we have:

x = -(-1) / (2 * 2) = 1/4

To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point

Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Part C: To graph f(x), we can follow these steps:

Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.

Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.

Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.

Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.

The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.

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The x-intercepts from the graph attached are

(-2, 0) (2.5, 0)

The vertex  from the graph attached is

(0.25, -10.125)

How to find the required parameters

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

x = (-b ± √(b² - 4ac)) / (2a)

a = 2, b = -1, c = -10

Plugging these values into the quadratic formula:

x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)

x = (1 ± √(1 + 80)) / 4

x = (1 ± √81) / 4

x = (1 ± 9) / 4

x₁ = (1 + 9) / 4 = 10 / 4 = 2.5

x₂ = (1 - 9) / 4 = -8 / 4 = -2

Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.

Part B

To find the coordinates of the vertex, we can use the formula:

x = -b / (2a)

x = -(-1) / (2 * 2) = 1 / 4 = 0.25

we substitute this value back into the original function:

f(0.25) = 2(0.25)² - 0.25 - 10

f(0.25) = 0.125 - 0.25 - 10

f(0.25) = -10.125

Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).

Part C: The steps to graph f(x) include:

Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.

Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.

Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.

Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.

By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)

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Evaluate (4.6)² using (a+b)²=a²+b²+2ab

Answers

(4.6)²

= (4+ 0.6)²

Using identity

(4+ 0.6)²

= 4² + 2× 4 ×0.6 +(0.6)²

=16 + 4.8 + 0.36

= 21.16

helo please show work ​

helo please show work

Answers

Answer:

Step-by-step explanation:

Solution:

We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).

The GCF of 305 and 60 is 5.

Divide both terms by 5.

305 ÷ 5 = 61

60 ÷ 5 = 12

Therefore:

305 : 60 = 61 : 12

How many different sums of money can be made from 4coins of different denomination



Answers

Answer:

15 different sums

----------------------

There are various combinations of coins.

1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins:  1 option

In total there are:

4 + 6 + 4 + 1 = 15 different sums

What is the measure of

What is the measure of

Answers

Answer:

63 (c)

Step-by-step explanation:

worked it out my brother

Please explain your answer to the question in the picture with steps

Please explain your answer to the question in the picture with steps

Answers

Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

Rational equation

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

<95141404393>

factorise the quadratic expression
pls help me I'll give brainliest
x²+8x-48​

Answers

\(x^2+8x-48\\\\=x^2 + 12x -4x -48\\\\=x(x+12) -4(x+12)\\\\=(x-4)(x+12)\)

Each marble bag sold by Mary's Marble Company contains 5 blue marbles for every 4 purple
marbles. If a bag has 35 blue marbles, how many purple marbles does it contain?

Answers

Answer:

The total no. of purple marbles will be:

\( \boxed{ \underline{ \rm{28}}}\)

Step-by-step explanation:

It is given that for every 5 blue marbles, we have 4 purple marbles. And similarly we have to find for the no. of purple marbles for 35 blue marbles.

First, Let's divide these 35 blue marbles in groups of 5. We will get:

➝ 35 ÷ 5 = 7 groups

For each group of 5 marbles, there are 4 purple marbles. So for 7 groups, No. of purple marbles will be:

➝ 4 × 7 = 28 purple marbles.

And we are done! :D

what is the twelfth term in the sequence 13,26,39, ...?

Answers

Answer:

166

Step-by-step explanation:

Brainliest and a thanks??

Term 1: 13

Term 2: 26

Term 3: 39

Term 4: 52

Term 5: 65

Term 6: 78

term 7 : 91

Term 8: 104

Term 9: 117

Term 10: 130

Term 11: 143

Term 12: 156

OR 13*12=156

Add 13 every time until you add it 12 times you will get 156. Or you can mulitply 13*12 you will get 156. Multiply is much easier though!!

Hope this helps!

Answer=156

Have a great day!

- Hailey!

(nothing is copied or pasted!!!)

If FH = 9x + 15 and GH = 5x + 4,
then FG = ?

Answers

Answer:

FG = 39

Step-by-step explanation:

From the question given:

FH = 9x + 15

GH = 5x + 4

FG = ?

From the question given above, we can say that G is the midpoint of FH. This implies that:

FH = FG + GH

With the above idea in mind, we can obtain FG as follow:

FH = 9x + 15

GH = 5x + 4

FG = ?

FH = FG + GH

9x + 15 = FG + 5x + 4

Rearrange

FG = 9x + 15 - 5x - 4

FG = 9x - 5x + 15 - 4

FG = 4x + 11

Next, we shall determine the value of x. This can be obtained as follow:

Since G is the midpoint of FH, it therefore means that FG and GH are equal i.e

FG = GH

With the above idea in mind, we can obtain the value of x as follow:

FG = 4x + 11

GH = 5x + 4

FG = GH

4x + 11 = 5x + 4

Collect like terms

11 - 4 = 5x - 4

7 = x

x = 7

Thus, we can obtain the value of FG as follow:

FG = 4x + 11

x = 7

FG = 4x + 11

FG = 4(7) + 11

FG = 28 + 11

FG = 39

***Check ***

FH = 9x + 15

x = 7

FH = 9(7) + 15 = 63 + 15 = 78

GH = 5x + 4

x = 7

GH = 5(7) + 4 = 35 + 4 = 39

FG = 4x + 11

x = 7

FG = 4(7) + 11 = 28 + 11 = 39

FH = FG + GH

FH = 78

FG = 39

GH = 39

FH = FG + GH

78 = 39 + 39

78 = 78

If a ball is thrown upward at 96 feet per second from a height of 12 feet, the height of the ball can be modeled by S=12+96t- 16t² feet,
where t is the number of seconds after the ball is thrown. How long after the ball is thrown is the height 152 feet?
It takes seconds for the ball to reach the height 152 feet.

Answers

Answer:

2.5 & 3.5

Step-by-step explanation:

152 = 12+96t- 16t²

140+96t- 16t²=0

152 = 12+96t- 16t²

4t²-24t+35=0

(2t-7)(2t-5)=0

t = 2.5 & 3.5

Compare the values of the following numbers, using the symbols > (greater than), < (less than), and = (equal to).
0.5 _____0.500

Answers

Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500

7.) According to the quantity equation, changes in the money supply will lead directly to
changes in the price level if velocity and real GDP are unaffected by the change in the
money supply. Will velocity change over time? What factors might lead to changes in
velocity? Are those changes related to changes in the money supply?

Answers

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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Find surface area of this regular pyramid

Find surface area of this regular pyramid

Answers

Answer:

189 ft²

Step-by-step explanation:

Here is the formula...

1/2 * 6 * 36 + 81

Hope this helps

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

Calculating the length KL

From the question, we have the following parameters that can be used in our computation:

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Calculating the value of x

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Calculating the length KL

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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what is 5+5-5+5+5-5+5-5+100

Answers

Answer:

110

Step-by-step explanation:

5-5 cancel out

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Answer:

uhm I'm not sure I'm really sorry if it's wrong but its 110 if it's not the right one go to calculator

What is the area, in sqaure feet, if the rectangle shown below?​

What is the area, in sqaure feet, if the rectangle shown below?

Answers

Answer:

D. 32 6/20

Step-by-step explanation:

6 4/5 ×4 3/4

=  

34/5× 19/4

=  

34× 19

5      4

=  

646

20

=  

646 ÷ 2

20 ÷ 2

=  

323

10

=  

32 3/10- which then is equal to 32 6/20 (If we multiply 3/10 by 2 we get 6/20)

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