Jada is visiting new york city to see the empire state building she is 100 feet away when sge spots it.To see the top she has to look up at an angle of 86.2 dehrees how tall is the empire state building

Answer:

45cm^2

Step-by-step explanation:

split the shape into a triangle and rectangle between points FE. Count how many squares up on the rectangle = 2cm

squares across = 9cm

2cm x 9cm = 18cm^2

for the triangle across would be 9cm

hight would be 6cm

9cm x 6cm = 54cm/2 = 27cm^2

18cm^2 + 27cm^2 = 45cm^2

Answer:

f⁻¹(x) =

Step-by-step explanation:

Given function,

→ f(x) = 5x - 6

We are supposed to find ths inverse of the given function. Consider the function, y = f(x).

→ y = 5x - 6

Add 6 to both sides.

→ y + 6 = 5x - 6 + 6

Solve the equation.

→ y + 6 = 5x

Division both sides by 5.

→ y + 6/5 = 5x/5

Solve the equation.

→ (y + 6)/5 = x

Can be re-written as,

→ x = (y + 6)/5

Now, recall f(x) = y, this implies x = f⁻¹(y).

→ f⁻¹(y) = (y + 6)/5

So the final answer is:

→ f⁻¹(x) = (x + 6)/5

Answer:

1.25

Step-by-step explanation:

Find the average.

-5.1+7.6=2.5

2.5/2

1.25

Answer: (-2,3)

Step-by-step explanation:

The formula for 180 degrees rotation is (-x,-y).

(2,-3). Plug the formula in, when plugging a positive and a negative, it's negative. When plugging a negative and a negative, it makes a positive.

So (-2, 3)

We need to find the particular solution for the differential equations given below:

y" + 3y = -9

y" + 2y' - y = 101

y"(x) + y(x) = 24

2x' + x = 312

y" – y + 9y = 3 sin 3t

2z" +z = 9e2 dy dy

5 +6y = xe

0"() - 0(t) = sint dx² dx

y" + 4y = 8 sin 2t

y" – 2y + y = 8e

4y" + 11y' – 3y = –21e31

y" + 3y = -9

Homogeneous solution: Let

y = e^(mx)dy/dx = me^(mx)y" = m² e^(mx)y" + 3y = m² e^(mx) + 3e^(mx) = 0(m² + 3) e^(mx) = 0 or m² = -3m = + i√3 or - i√3

General solution: yh = c1 cos (√3 x) + c2 sin (√3 x)

Particular solution: For particular solution, let yp = A, so y'p = 0 and y''p = 0

Substitute the values in the differential equation.

y" + 3y = -9 0 + 3A = -9 A = -3

Therefore, the particular solution is yp = -3

General solution: y = c1 cos (√3 x) + c2 sin (√3 x) - 3

y" + 2y' - y = 10

Homogeneous solution: Let y = e^(mx)dy/dx = me^(mx)y" = m² e^(mx)y" + 2y' - y = m² e^(mx) + 2me^(mx) - e^(mx) = 0m² + 2m - 1 = 0 or m = -1 ± √2

General solution: yh = c1 e^(-x + √2 x) + c2 e^(-x - √2 x)

Particular solution: For particular solution, let

yp = Ax + B, so y'p = A and y''p = 0

Substitute the values in the differential equation.y" + 2y' - y = 10 0 + 2A - Ax - B = 10 2A - A = 10 and - A - B = 0 A = 5 and B = -5

Therefore, the particular solution is yp = 5x - 5General solution: y = c1 e^(-x + √2 x) + c2 e^(-x - √2 x) + 5x - 5

The given differential equations are solved to find the particular solution using the homogeneous solution. For homogeneous solutions, we let y = e^(mx) and find the general solution of the given differential equations. For particular solutions, we substitute the values in the given differential equations and solve for A, B, and other unknown constants. Finally, the general and particular solutions are added to get the solution of the given differential equations.

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Answer:

38.5

Step-by-step explanation:

3.00 + 2.50= 5.50

5.50 x 7= 38.50

ans- 28.50 for 7 miles

Answer: 1/3(6x-12)=2(x-2)

Step-by-step explanation:

Answer:

6.7

Step-by-step explanation:

Let x = the geometric mean

Then, 3/x = x/ 15

\(x^{2}\) = 45

x = \(\sqrt{45}\) = 6.7

It will take 15/2 hours for Mitch to run 1 mile. Cancelling out the common factors from numerator and denominator, the ratio reduces to 15/2.

Mitch ran 5/2 of a mile in 1/3 of an hour. To calculate how many hours it will take Mitch to run 1 mile, we need to use a ratio. The ratio is (5/2)/(1/3). To solve this, we need to multiply the numerator and denominator of the first fraction with the denominator of the second fraction, and then multiply the numerator and denominator of the second fraction with the denominator of the first fraction. So, the ratio becomes (5/2)*(3/1)/(1/3)*(2/1). Cancelling out the common factors from numerator and denominator, the ratio reduces to 15/2. This means that it will take 15/2 hours for Mitch to run 1 mile.

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They should order 131.56 units 13 times a year. The minimum inventory cost is $2,557.68. A retailer anticipates selling 1,700 units of its product at a uniform rate over the next year. Flat fee of each order= $25, Inventory carrying cost per unit per year= $34.

Given that, A retailer anticipates selling 1,700 units of its product at a uniform rate over the next year.

Flat fee of each order= $25

Inventory carrying cost per unit per year= $34

Let the retailer order 'Q' units at a time. Then, The number of times that the retailer should order the inventory each year would be = Annual demand / Quantity of order Q

Each time that the order is placed, it is charged a flat fee of $25.

So, the total cost of ordering would be= Number of times that the retailer should order the inventory each year × flat fee of each order= (Annual demand / Quantity of order Q) × $25

The carrying cost is $34 per unit per year.

The inventory cost would be= Carrying cost per unit per year × average inventory during the year= $34 × (Q/2)

To minimize the inventory cost, the economic order quantity(Q*) would be given by the formula, Q* = √((2DS)/H),

where D = Annual demand, S = Setup cost per order, H = Holding cost per unit per year.

The order quantity 'Q' that minimizes the total inventory cost is called the economic order quantity

(EOQ).Q* = √((2DS)/H)= √((2 × 1,700 × $25) / $34)= 131.56

The EOQ is 131.56 units.

The number of orders that need to be placed each year would be given as= Annual demand / EOQ= 1,700 / 131.56= 12.92 (Approx 13 orders)

The minimum inventory cost would be = Total ordering cost + Total carrying cost

Total ordering cost = Number of orders per year × Setup cost per order= 13 × $25= $325

Total carrying cost = Carrying cost per unit per year × average inventory during the year= $34 × (131.56 / 2)= $2,232.68

Total cost = $325 + $2,232.68= $2,557.68

Hence, They should order 131.56 units 13 times a year. The minimum inventory cost is $2,557.68.

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The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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The probability of rolling a number less than 3 is 0.333.

We have,

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, a single, six-sided die is rolled.

Here, the sample space is {1, 2, 3, 4, 5, 6}

Total number of outcomes =6

we have, event is getting of a number less than 3.

Number of favorable outcomes =2

Probability of a number less than 3 = 2/6

                                                          = 1/3  

                                                          =0.333

Therefore, the probability of rolling  a number less than 3 is 0.333.

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Answer:

Step-by-step explanation:

Probability is expressed as

Number of favorable outcomes/total number of possible outcomes

From the information given,

Total number of outcomes = 16

Starting from 1, the multiples of 3 between 1 and 16 are 3, 6, 9, 12 and 15

This means that the number of favorable outcomes is 5

Therefore, the probability that the card has a multiple of 3 on it is

5/16 = 0.3125

Answer:

861.56 km2

Step-by-step explanation:

the formula for the area of a trapazoid is

a= (a+b/2) + h

Answer:

adults, a = 116

Students, s = 111

Teacher, t = 53

Step-by-step explanation:

Adult = $6

Teacher = $4

Students = $2

Let

Adults = a

Teacher = t

Students = s

Total revenue = $1010

Total tickets sold = 280

a = 2t - 10

a + s + t = 280

6a + 2s + 4t = 1010

Substitute a = 2t - 10 into the equation

2t - 10 + s + t = 280

6(2t - 10) + 2s + 4t = 1010

3t + s - 10 = 280

12t - 60 + 2s + 4t = 1010

3t + s = 280 + 10

16t + 2s = 1010 + 60

3t + s = 270 (1)

16t + 2s = 1070 (2)

Multiply (1) by 2

6t + 2s = 540 (3)

16t + 2s = 1070 (4)

Subtract (3) from (4)

16t - 6t = 1070 - 540

10t = 530

Divide both sides by 10

t = 530/10

= 53

t = 53

Substitute t =53 into (1)

3t + s = 270

3(53) + s = 270

159 + s = 270

s = 270 - 159

= 111

s = 111

Substitute the values of s = 111 and t = 53 into

a + s + t = 280

a + 111 + 53 = 280

a + 164 = 280

a = 280 - 164

= 116

adults, a = 116

Students, s = 111

Teacher, t = 53

Answer:

Probably, 3/1.

Step-by-step explanation:

Just do the reverse of the instructions and you get your answer.

1+2=3

2-1=1

4√5 is the simplified form of  square root of 10 times square root of 8 .

First, The square root of ten is √10

and, the square root of 8 is √8

Now, simplify square root of 10 times square root of 8.

= √10×√8

By radical property (√a×√b=√a×b

So,√10×√8=√(10×8)=√80

=√16×5

=4√5

Thus, 4√5 is the simplified form of  square root of 10 times square root of 8 .

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Answer:

b

Step-by-step explanation:

b took the test np

Answer:

78

Step-by-step explanation:

Answer:

i need a photo

Step-by-step explanation:

Answer:

The common ratio is 1/9

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

27/ 243

1/9

We can check by taking the third term and dividing by the second

3/27 = 1/9

Answer:

most likely next spring

Step-by-step explanation:

Step-by-step explanation:

Answer:

61%

Step-by-step explanation:

2400-936= 1464 seats the kids filled.

1464filled ÷ 2400 total seats = .61 so 61%

Answer:

The equation that could be used to find \(x\), the number of cantaloupes Courtney had originally is \(x-40=23\) and the original number of cantaloupes are \(63\).

Step-by-step explanation:

Number of cantaloupes sold \(=40\).

Number of cantaloupes left \(=23\).

Let Courtney had \(x\) cantaloupes originally.

After selling \(40\) cantaloupes out of the total number of cantaloupes, Courtney is left with \(23\) cantaloupes.

So, the equation is \(x-40=23\).

\(\Rightarrow x=23+40\)

\(\Rightarrow x=63\)

Hence, the equation that could be used to find \(x\), the number of cantaloupes Courtney had originally is \(x-40=23\) and the original number of cantaloupes are \(63\).

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:  pt=2667.1484≈2667

The approximate measure of angle G is 41.4° using laws of cosines. The correct option is C. 41.4°

From the question, we are to determine the measure of angle G

e = 12

f = 10

g = 8

From the law of cosines, we can write that

\(cos G = \frac{e^2 + f^2 - g^2}{2ef}\)

Putting the values into the equation

\(cos G = \frac{12^2 + 10^2 +8^2}{2\times 12 \times 10}\)

cosG = 0.75

G = cos⁻¹(0.75)

G = 41.4°

Hence, the approximate measure of angle G is 41.4°. The correct option is C. 41.4°

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Answer:

Step-by-step explanation:

The approximate measure of angle G is 41.4° using laws of cosines. The correct option is C. 41.4°

From the question, we are to determine the measure of angle G

e = 12

f = 10

g = 8

From the law of cosines, we can write that

Putting the values into the equation

cosG = 0.75

G = cos⁻¹(0.75)

G = 41.4°

Hence, the approximate measure of angle G is 41.4°. The correct option is C. 41.4°

What are Law of cosines?

When two sides of a triangle and their enclosed angle are known, the law of cosines can be used to compute the third side of the triangle as well as the angles of the triangle if all three sides are known.

The law of cosines, sometimes referred to as the cosine formula, cosine rule, or al-theorem, Kashi's in trigonometry connects the lengths of a triangle's sides to the cosine of one of its angles.

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The positions through which the equation of f^-1(x) travels are: (4, 1), (6, 4)

A mathematical statement called an equation is comprised of two expressions joined together with the equal sign.

A formula would just be 3x - 5 = 16, for instance.

When this equation is solved, we observe that the value of the variable x is 7.

So, (1, 4) and (4, 6) are points through which the equation of f(x) goes.

If the f (x) equation contains (x, y).

Therefore, the f^-1(x) equation is as follows: (y, x).

Here, the f (x) equation passes through the following points: (1, 4) and (4, 6).

So, (4, 1) and (6, 4) are the points through which the equation of f^-1(x)  goes through.

Therefore, the positions through which the equation of f^-1(x) travels are:

(4, 1), (6, 4)

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Correct question:
If the equation of f(x) goes through (1,4) and (4,6), what points does f^-1(x) go through?

Answer:

157/270

Step-by-step explanation:

Answer:

10.8

10.8

33.9

Step-by-step explanation:

Step-by-step explanation:

The product of 84.12 and which number will have three decimal places?

4.22

10.51

14.163

19.3

84.12 * 19.3 = 1623.516