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Using relations in a right triangle, it is found that the height of the antenna is of 10 m.

The relations in a right triangle are given as follows:

In this problem, the vertical height from her eyes to the top of the antenna is the side opposite to the angle of 17º, while the adjacent side is the horizontal distance of 29 m, hence:

[tex]\tan{17^\circ} = \frac{h}{29}[/tex]

[tex]h = 29\tan{17^\circ}[/tex]

[tex]h = 8.87[/tex]

Adding the eye height:

h = 8.87 + 1.51 = 10.38 m.

Rounding to the nearest meter, the height of the antenna is of 10 m.

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Answer:

9

Step-by-step explanation:

I just took the test.

Answer:

143

Step-by-step explanation:

supplementary angles add to 180

37+x=180

x=143

Answer:

-7 15/17. 49 sq. 7.7 187/24

Step-by-step explanation:

thats the order least to greatest 187/24= 7.79 and 49 sq = 7

Answer:

Domain: -2≤ x≤ 0

Range: -2≤ x≤ 2

The relation is a Function

Step-by-step explanation:

The Domain is all the x values.

All the x values are either equal to or greater than -2, and less than or equal to =-0

The Range is all the y values.

Apply the same logic as the domain.

A function is where no x values are the same, and since in this graph we see no vertical line, indicating the same x value, it means it is a function

Answer:

1. don't know what you want for the first one but..

2. x=9

3. y= 8

Step-by-step explanation:

x = 1.5y

ex y=2 x=2

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -9      y_1= -3  

     m= 2 (the slope)

an equation in the point-slope form is : y +3 = 2(x+9)

means : y+3 =2x +18

an equation in slope-intercept id : y=2x+15

Answer: 18

Step-by-step explanation:

288 / 16 = 18

Answer:

C) 18 m

Step-by-step explanation:

Answer:

anything above 12

Step-by-step explanation:

would be greater than 12. 13, 14, 16...etc

Answer:

n > 12

Step-by-step explanation:

Represent the number by n.  Then "a number is greater than 12" expressed symbolically is n > 12.

Answer:

y=4

Step-by-step explanation:

The question is asking what is the value of y:

Since all lengths have a dash on them they are all equal :

So 3y = y+8

3y = y + 8

First we subtract y from both sides:

3y-y = y+8-y

2y = 8

Divide both sides by 2:

2y÷2 = 8÷2

y = 4

Answer:

  B.  across the y-axis

Step-by-step explanation:

The line of reflection is the perpendicular bisector of the segment between the orginal point and its image. If you plot the two points, you see that the y-axis is that bisector.

The point was reflected across the y-axis.

__

Additional comments

Changing the sign of the x-coordinate means a point that was some distance on one side of the y-axis is now that same distance on the other side. That is, the y-axis is the line of reflection when the sign of x changes.

Similarly, the x-axis is the line of reflection when the sign of y changes.

  (x, y) ⇒ (-x, y) . . . . reflection across the y-axis

  (x, y) ⇒ (x, -y) . . . . reflection across the x-axis

__

Changing the signs of both coordinates (in either order) is effectively a reflection across the origin. There are other names for this reflection, too.

  (x, y) ⇒ (-x, -y) . . . . reflection across both axes, across the orign, rotation 180°

A fraction/probability is created by taking what we want and putting that over the total.

In this case, we want yellow out of the total number of marbles.

Yellow Marbles = 1

Total Marbles = 6 + 1 + 2 + 3 = 12

Probability/Fraction = 1 / 12

Hope this helps!

Answer:

B

Step-by-step explanation:

When multiplying exponents with the same base, you add the powers together.

In B, that is exactly what they are showing when they do:

[tex]2^{\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}}[/tex]

Answer:

Area of circle=πr^2

Step-by-step explanation:

Area of circle=πr^2

=22/7*21^2

=22/7*441

=9702/7

=1386 sq.inch

Answer:

60 sq m

Step-by-step explanation:

Area of the figure

= Area of top rectangle + Are of the bottom rectangle

= 5*3 + 5*(3+3+3)

= 15 + 5*9

= 15 + 45

= 60 sq m

Answer:

60 m²

Step-by-step explanation:

Area of the figure

= Top rectangle vertical + Bottom rectangle horizontal

= 3 x 5 + 5 x 9

= 15 + 45

= 60 m²

Answer:

2+3+2+3+2+3+2=17 because each was worth 2 or 3

Answer:

Step-by-step explanation:

Area of the base = 1/2 * B * h

B: 12.9

h = 10.3

Area of the face = 1/2 * 12.9 * 10.3

Area of the face = 66.435

Volume = Triangle * height

Triangle = 66.435  yd^2

Height = 15 yd

Volume = 66.435 * 15

volume = 996.525

I think this should be rounded to one decimal place: 996.5

The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.

The equation of a straight line whose slope and y-intercept are given. Suppose a non-vertical line has a gradient or slope of m and y-intercept equal to c. Let (x, y) be any point on the line and a line intersect the y-axis at the point (0, c).

 y = mx + c

Using the slope-intercept form (y = mx + b) to find the function of the graph,

B = -100/5t + 500

Or  B = -20t + 500.

After 1 hr or t = 1 Demi earns B = 50(1) or $50 teaching

After 1 hr or t = 1 Demi spends B = -20(1)

-$20 on spin class.

If it’s asking just the rate of increase or decrease, the slope of 50t is greater than the slope of -20t.

Thus, The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.

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Q has coordinates

P is 6units left

R is 7units up

Option B

Answer:

B)  P (-4, 4) and R (2, 3)

Step-by-step explanation:

Q = (2, -4)

If ΔPQR is a right triangle, then

If PQ is 6 units, then

P = (2-6, -4) = (-4, -4) or

P = (2, -4+6) = (2, 2)

If QR is 7 units, then

R = (2-7, -4) = (-5, -4) or

R = (2, -4+7) = (2, 3)

Therefore, P (-4, 4) and R (2, 3)

(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.

An item in one space is mapped to another using a function known as a transformation in mathematics. A geometric shape or other mathematical object is altered by this method by shifting its location, direction, or size. Geometric qualities including symmetry, congruence, and resemblance are studied using transformations. Objects are frequently transformed through translations (moving), rotations (turning), reflections (flipping), and dilations (resizing an object). In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.

given

(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.

In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.

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The correct answer would be: 4.6 x 10^5

Answer:

She can buy 4 books

Step-by-step explanation:

If each notebook is $3, and she bought two, she'd be left with $32 because 40-6=32. Simply multiply 8 by 4 to get 32, which is the rest of her money. Hope this helps!

Answer:

x=12y + 10 or even just entirely solved... 82=12(6) +10

Step-by-step explanation:

Answer:

ImnotI'm not sure

this is the same im on

Step-by-step explanation:

Answer:

1. The cost of equity can be derived from the share price, which is the present value of the expected dividend one year from now(using the present value of growing perpetuity) as shown below:

share price=D1/(r-g)

share price=$500

D1=expected dividend one year from now=$4

r=cost of equity=unknown

g=constant growth rate=9%

$500=$4/(r-9%)

$500*(r-9%)=$4

r-9%=$4/$500

r=($4/$500)+9%

r=9.8

the Cost of Equity for the project is 9.8%

2. Compute the relevant cost of debt for this project is 5.53%

Market Value= 1,150

Face Value= 1,000

Term= 5 years, 10 semi-annual periods

Coupon Rate= 9%, 4.5% semi-annual rate

Tax Rate= 30%

N=10(semiannual coupons in 5 years)

PMT=45(semiannual coupon=face value*coupon rate/2=$1000*9%/2=$45)

PV=-1150(current market price)

FV=1000(face value of the bond is $1,000)

CPT(press compute)

I/Y=2.762766%(semiannual yield)

annual yield=2.762766%*2

annual yield=5.53%

3. The weighted average cost of capital is the sum of equity and the after-tax cost of debt multiplied by their respective market value weights

WACC=(cost of equity*weight of equity)+(after-tax cost of debt*weight of debt)

cost of equity=9.80%

the market value of equity raised=shares issued*market price of the share

the market value of equity raised=80,000*$500

the market value of equity raised=$40 million

weight of equity=market value of equity/total amount raised

weight of equity=$40 million/$100 million

weight of equity=40.00%

weight of debt=1-weight of equity

weight of debt=1-40.00%

weight of debt=60.00%

after-tax cost of debt=bond yield*(1-tax rate)

the after-tax cost of debt=5.53%*(1-30% )

the after-tax cost of debt=3.87%

WACC=(9.80%*40.00%)+(3.87%*60.00%)

WACC= 6.2426% or 6.24%

Therefore the WACC is 6.2426% or 6.24% rounded off to 2decimal place

4. Determine the initial cash flow for the project =$100 million

The initial cash outlay is the sum of the plant and machinery and net working capital investment required to commence the project

Plant and machinery= $80 million

Networking capital = $20 million

Total Initial Cash Flow= $100 million

5. Determine the earnings before taxes for years 1 through 5

Year

1 2 3 4 5

Revenue

120,000,000 120,000,000 120,000,000 120,000,000 120,000,000

Expenses

(80,000,000) (80,000,000) (80,000,000) (80,000,000) (80,000,000)

Depreciation (20,000,000) (15,000,000) (11,250,000) (8,437,500) (6,328,125)

EBT

20,000,000 25,000,000 28,750,000 31,562,500 33,671,875

Step-by-step explanation:

5. Depreciation schedule:

Year 1 = 80 × 25% = 20

Year 2 = (80-20) × 25% = 15

Year 3 = (80-20-15) × 25% = 11.25

Year 4 = (80-20-15-11.25) × 25% = 8.4375

Year 5 = (80-20-15-11.25-8.4375) × 25% = 6.328125

EBT = revenue - Expenses - depreciation

Year 1 = 120 - 80 - 20 = 20 Million

Year 2 = 120-80- 15 = 25 Million

Year 3 = 120-80- 11.25 = 28.75 Million

Year 4 = 120-80- 8.4375 = 31.5625 Million

Year 5 = 120-80- 6.328125 = 33.671875Million

The cost of equity of the project through the use of Gordan's formula will be 9.87%.

It should be noted that the price of stock is computed thus:

= Previous dividend + Growth / Cost of equity - Growth

Po = Do + g/Ke - g

500 = 4 + 9%/Ke - 9%

500 = 4 + (0.09 × 4) / Ke - 9%

500 = 4.36/Ke - 9%

500(Ke - 9%) = 4.36

500Ke = 4.36 + 45

500Ke = 49.36

Ke = 49.36/500

Ke = 9.87%

The cost of debt will be:

= Interest rate (1 - Tax rate)

= 9% × (1 - 30%)

= 9% × 0.7

= 6.30%

The amount of the cost of debt will be:

= $1000 × 6.30%

= $63.00

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The probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour is 0.0833 or 8.33%.

Your computer sends a request for the file to a Web server, and the Web server sends back a response.

For one particular Web server, the time X (in seconds) after the start of an hour at which a randomly selected request is received has the uniform distribution shown in the figure.

The probability of finding value less than the X is,

[tex]P(X < x)=\dfrac{x-a}{b-a}[/tex]

Here, a and b are two bonds of uniform distribution.

The probability distribution of X can be modeled by a uniform density curve on the interval from 0 to 3600 seconds, as shown in the given figure.

The probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour has to be found out. Thus,

[tex]P(X < x)=\dfrac{300-0}{3600-0}\\P(X < x)=0.0833\\P(X < x)=8.33\%[/tex]

Thus, the probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour is 0.0833 or 8.33%.

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The correct answer is: (3x + 1)(3x - 1)(x + 4)

Answer:

A) no; there is not a consistent ratio

Step-by-step explanation:

If the polygons are similar than the corresponding sides will have similar ratios.

The corresponding sides of the polygons are (AD and WM) and (DK and ML)

The ratio from AD to WM is 6/4 or 1.5 and the ratio to DK to ML is 8/6 or 1.33

The corresponding sides do not have a common ratio therefore the polygon is not similar

Use the Distributive Property, which states the following:-

[tex]\bigstar{\bf{a(b+c)=ab+ac}[/tex]

where

we distribute a by multiplying it times b and c

In this case, we should distribute 9:-

9(3x-12)+9x

27x-108+9x

Combine Like Terms:-

[tex]\longrightarrow\sf{36x-108}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

C. 36x + 108

Step-by-step explanation:

Our expression :

Expanding :

#1) Open the bracket applying the distributive property.

#2) Combine like terms.

Answer:

its (3x-5)

Step-by-step explanation:

Answer:

C. (3x - 5)

Step-by-step explanation:

1. Find a solution pair that gives the sum of b (5):

-10 + 15 = 5

2. Break the expression into groups:

(6x² - 10x) + (15x - 25)

3. Factor out the common factor in each group:

2x(3x - 5) + 5(3x - 5)

4. Factor out the common pair (3x - 5) using the distributive property:

(3x - 5)(2x + 5)

hope this helps!

Answer:

I belive it should be # 3 i might be wrong thow.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Car one rotated 90 degrees counterclockwise would be to car 4
then, it rotated 180 degrees clockwise would be car 2.

the answer is Car 2

To create a work plan for the food intake of each person in the group, there needs to be the required 5600 calories and there needs to be a replacement for the caloric deficit.

This refers to the formal roadmap that is created for a project for the purposes of streamlining it.

Based on the fact that a map was not provided, there is insufficient data to solve the problem, so a general overview will be given about a work plan.

Because the group is 28,800 calories short and needs to complete the trip with their five members, then they need to ration their supplies.

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