a man in a plane is looking down at a building below. if the man is 40,000 feet away from the building and the altitude of the man is 33,000 feel what is the angle of depression from the man to the building below

Answer:

The value of X is 10 As the two triangles are similar X= 10

Answer:

Jamal predicts that 243 people will visit his site on the fifth day.

Step-by-step explanation:

Since Jamal launched a website for his custom shoe store, and on the first day, 3 visitors registered on the website, while on the third day, 27 visitors registered on the website, if Jamal uses an exponential function to model the data from the first and third days, to determine how many visitors will predict to register on the fifth day, the following calculation must be performed:

Day 1 = 3

Day 2 = 3 ^ 2 = 9

Day 3 = 3 ^ 3 = 27

Day 4 = 3 ^ 4 = 81

Day 5 = 3 ^ 5 = 243

Therefore, Jamal predicts that 243 people will visit his site on the fifth day.

Answer:

90 minutes

Step-by-step explanation:

it will take twice as long therefore 90 minutes

Answer:

what are the letters and numbers by the trapezoid i need them to solve it

Step-by-step explanation:

Answer:

answer 21 m2

Step-by-step explanation:

Area of a trapezoid

side a

5

parallel a,b

side b

9

height h

3

22 digit

area S

21    

The complete compound inequality is 9 <= 1.5x <= 12

From the given figure, we have'

Height = x

Base = 3

The area of a triangle is

Area = 0.5 * Base * Height

So, we have

A = 0.5 * 3 * x

Evaluate

A = 1.5x

The compound inequality is given as

9 <= A <= 12

Substitute A = 1.5x in 9 <= A <= 12

9 <= 1.5x <= 12

Hence, the complete compound inequality is 9 <= 1.5x <= 12

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Answer:

(B)40

Step-by-step explanation:

use the mark given and divide it by 90 percent take the answer given and multiply it by one hundred

Answer:

B) 40

Step-by-step explanation:

If 90% = 36

100% = ?

Cross Multiplying

100 x 36/ 90 = 40

which means there were 40 Questions on the test.

Answer:

The largest number is -0.622

Step-by-step explanation:

If you do -5/8 on a calculator you get -0.625.

If you order them (least to greatest) they would be ordered like this:

-0.65, -5/8, -0.622

Answer:

c

Step-by-step explanation:

Step-by-step explanation:

2+6=3-8

2+6=8

3-8=-5

8=-5

(a) g(2, -1) = 1. (b) The domain of g is -2 ≤ x ≤ 2 and -1 ≤ y ≤ 1. (c) The range of g is [-1, 1] (using interval notation).

(a) Evaluating g(2, -1):  

G(x, y) = cos(x + 2y)

Substituting x = 2 and y = -1 into the function:

G(2, -1) = cos(2 + 2(-1))

        = cos(2 - 2)

        = cos(0)

        = 1

Therefore, g(2, -1) = 1.

(b) Finding the domain of g:

The domain of g is the set of all possible values for the variables x and y that make the function well-defined.

In this case, the domain of g can be determined by considering the range of values for which the expression x + 2y is valid.

We have:

-2π ≤ x + 2y ≤ 2π

Therefore, the domain of g is:

-2 ≤ x ≤ 2 and -1 ≤ y ≤ 1.

To find the domain of g, we consider the expression x + 2y and determine the range of values for x and y that make the inequality -2π ≤ x + 2y ≤ 2π true. In this case, the domain consists of all possible values of x and y that satisfy this inequality.

(c) Finding the range of g:

The range of g is the set of all possible values that the function G(x, y) can take.

Since the cosine function ranges from -1 to 1 for any input, we can conclude that the range of g is [-1, 1].

The range of g is determined by the range of the cosine function, which is bounded between -1 and 1 for any input. Since G(x, y) = cos(x + 2y), the range of g is [-1, 1].

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π/16 is the area enclosed by the curve r= sin(4θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(4θ) =0

=> sin(4θ) =0

=> 4θ = 0,π

=> θ = 0, π/4

so a=0 , b= π/4

now  

  A =  \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)   ------(i)

so   \(r^2\) = (sin(4θ))^2

=>   \(sin^2\)( 4θ )

ans we know that

cos(2α) = 1 -  \(2sin^2\)2 α

so     \(sin^2\)= (1- cos(8θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^b_a {\frac{1}{4} *(1-cos8\theta) } \, d\theta\)

=> 1/4*  \(\int\limits^b_a {(1-cos8\theta) } \, d\theta\)

here a=0 and b=π/4

after putting the value and solving the integral

A = π/16

so A is the area enclosed by r=sin(4θ) is π/16

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1.  AD would increase by $200 million due to the multiplier effects.

2. The government should increase spending by $20 million to achieve an AD increase of $100 million.

3. Bank E can lend out a maximum of $9,000.

1. To calculate the increase in aggregate demand (AD) due to multiplier effects when the government reduces taxes by $50 million and the marginal propensity to consume (MPC) is 0.75, we can use the formula:

Multiplier = 1 / (1 - MPC)

AD increase = Multiplier * Tax cut

Given that the tax cut is $50 million and MPC is 0.75:

Multiplier = 1 / (1 - 0.75) = 1 / 0.25 = 4

AD increase = 4 * $50 million = $200 million

Therefore, AD would increase by $200 million due to the multiplier effects.

2. To determine the amount the government should increase spending to increase AD by $100 million, given an MPC of 0.8, we can use a similar approach:

Multiplier = 1 / (1 - MPC)

Government spending increase = AD increase / Multiplier

Given that the desired AD increase is $100 million and MPC is 0.8:

Multiplier = 1 / (1 - 0.8) = 1 / 0.2 = 5

Government spending increase = $100 million / 5 = $20 million

Therefore, the government should increase spending by $20 million to achieve an AD increase of $100 million.

3. To calculate the maximum amount of money that Bank E can lend out, given that it has $10,000 of deposits as a liability and $1,500 in reserves, with a required reserve ratio (rr) of 10%, we can use the formula:

Maximum loan amount = Total deposits - Required reserves

Given that the required reserve ratio is 10%, which means the bank needs to hold 10% of the deposits as reserves:

Required reserves = 10% * $10,000 = $1,000

Maximum loan amount = $10,000 - $1,000 = $9,000

Therefore, Bank E can lend out a maximum of $9,000.

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Answer:

(1, -6)

Step-by-step explanation:

After reflecting over y axis: (1, 6)

After reflecting (1, 6) over x axis: (1, -6)

I think you made a typo in your question. I think you meant "x-axis" instead of "r-axis"

Answer:

x(x + 2) = 48

x^2 + 2x - 48 = 0

(x - 8)(x + 6) = 0

x = -8, so x + 2 = -6

x = 6, so x + 2 = 8

The numbers are -8 and -6, or 6 and 8.

The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

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the answer is a decimal

Step-by-step explanation:

-2(3h-1) = 5(2h-3)

clear brackets

-6h+2 = 10h-15

collect like terms

-6h-10h = -15-2

-16h = -17

divide the coefficient of h

h = -17 \ -16

h = 1.0625

The required computations are: G(-1) = -3 and G(G(-1)) = -9

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Answer:

23 STUDENTS ARE WEARING JACKETS

Step-by-step explanation:

The mean and standard deviation of the data set are approximately 4.43 and 2.77, respectively. Therefore, the answer is (e) None of the above.

To calculate the mean and standard deviation of the data set, we first need to clean up the provided data: 3, 5, 1, 7, 9, 5, 1.

Mean = (Sum of values) / (Number of values)
Mean = (3 + 5 + 1 + 7 + 9 + 5 + 1) / 7
Mean = 31 / 7
Mean = 4.43 (approximately)

Standard Deviation = √(Σ(x - mean)² / (Number of values))
First, calculate the squared deviations:
(3-4.43)² = 2.04 (approximately)
(5-4.43)² = 0.32 (approximately)
(1-4.43)² = 11.79 (approximately)
(7-4.43)² = 6.60 (approximately)
(9-4.43)² = 20.92 (approximately)
(5-4.43)² = 0.32 (approximately)
(1-4.43)² = 11.79 (approximately)

Sum of squared deviations = 53.78 (approximately)

Standard Deviation = √(53.78 / 7)
Standard Deviation = √(7.68)
Standard Deviation = 2.77 (approximately)

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Elijah read: x

Harper read: x + 2 , then

Harper read 5 books this summer

The resulting function g(x) on transforming the parent function f(x) =|x| is g(x) = |x| -5.

Transformation is the process of changing the position of an image or figure on an xy plane.

From the given graph, the modulus function of the black line is f(x) = |x|.. From the graph, you can see that the parent function is translated to form the dotted line.

This transformation shows a vertical shift down the y-axis by 5 units to have the function g(x) = |x| - 5

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Answer:

do you mean to put it in y=mx+b form because that would be y=2+2

Answer:

1,350/x

Step-by-step explanation:

The prize would be $1,350 divided by the amount of people on the team. Since we don't know the number of people on the team, that number is represented by the variable 'x.'

Answer: 25.12 inches

Step-by-step explanation:

C=2πr

8/2=4

2(3.14)(4)

2(12.56)

25.12

Answer:

25.12 inches

Step-by-step explanation:

So, the formula for circumference is πd (or πr² whichever you prefer. We already have the diameter, so we do π x d, which is π x 8 inches, which is equal to 25.12 inches.

This is correct only if you use π as 3.14 hope this helps :)

The approximate size of the cover that Maria will need to buy is 45. 84 square feet

The formula for calculating the circumference of a circle is expressed as;

Circumference = πr²

Where 'r' is the radius of the circle

Now, let's substitute the value of the circumference

24 = 2 × 3. 14 × r

r = 24/6. 28

r = 3. 82 feet

Formula for area = πr²

Substitute value of r

Area = 3. 14 × (3. 82)²

Area = 3. 14 × 14. 59

Area = 45. 84 square feet

Hence, the value is  45. 84 square feet

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Answer: $3.20

Step-by-step explanation:

SI = p *r * t

= 5.93 * 0.06 * 9

= 3.20

Answer:

$3.20

Step-by-step explanation:

Using Simple Interest = (principal) * (rate) * (time), we get:

= 5.93 * 0.06 * 9

= $3.20

Hope this helps!

Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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Answer:

1/237.12.

Step-by-step explanation:

The probability of winning the minimum award can be calculated by multiplying the probability of picking 4 numbers correctly from 1 to 51 and then multiplying by the probability of picking 1 number correctly from 1 to 42.

The probability of picking 4 numbers correctly from 1 to 51 is given by the formula:

(number of combinations of 4 numbers from 51) / (number of combinations of 5 numbers from 51)

= (51 choose 4) / (51 choose 5)

= 51! / (4! * 47!) / (51! / (5! * 46!))

= (51 * 50 * 49 * 48) / (5 * 4 * 47 * 46)

= 19600 / 10,946

= 1/5.6 approximately

The probability of picking 1 number correctly from 1 to 42 is given by the formula:

1/42

The final probability of winning the minimum award is given by multiplying the above two probabilities:

1/5.6 * 1/42 = 1/237.12

So, the probability of winning the minimum award is approximately 1/237.12.

The perimeter of the triangle if the value of y is 3 feet is 31 feet

Perimeter of the triangle:

Perimeter of the triangle is calculated as the total distance around the edges of a triangle.

The formula for the perimeter of the triangle is

P = a + b + c.

where

a, b and c refers the sides of the triangle.

Given,

Here we have the triangle with the side values are (y + 5)ft, (3y + 5)ft, and (4y - 3)ft.

Now we have to find the perimeter of the triangle when the value of y is 3 feet.

As per the formula of the perimeter of triangle, first we have to calculate the side values of it, by apply the value of y as 3,

Then we get the sides are,

y + 5 => 3 + 5 = 8 ft

3y + 5 => 3(3) + 5 = 14ft

4y - 3 => 4(3) - 3 = 9ft.

Therefore, the sides of the given triangle are 9ft, 14 ft and 9 ft.

Then the perimeter of the triangle is,

P = 8 + 14 + 9

P = 31

Therefore, the perimeter of the triangle is 31 feet.

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