Ethan is watching a space shuttle launch from an observation spot 99 miles away. Find the angle of elevation from Ethan to the space shuttle, which is at a height of 0.70.7 miles.

Answers

Answer 1

Answer:

The angle of elevation from Ethan to the space shuttle is approximately 0.405º.

Step-by-step explanation:

Let O and A the locations observation spot and the space shuttle, respectively. BA is the height of the space shuttle from the ground. All length are measured in miles. We include a simplified geometrical representation of the situation.

Since a right triangle is formed, we can find the angle of elevation ([tex]\theta[/tex]), measured in sexagesimal degrees, by the following inverse trigonometrical relationship:

[tex]\theta = \tan^{-1}\left(\frac{BA}{OB} \right)[/tex] (1)

Where OB is the distance from the observation spot to the point just below the space shuttle.

If we know that [tex]OB = 99\,mi[/tex] and [tex]BA = 0.7\,mi[/tex], then angle of elevation from Ethan to the space shuttle is:

[tex]\theta = \tan^{-1}\left(\frac{0.7\,mi}{99\,mi} \right)[/tex]

[tex]\theta \approx 0.405^{\circ}[/tex]

The angle of elevation from Ethan to the space shuttle is approximately 0.405º.

Ethan Is Watching A Space Shuttle Launch From An Observation Spot 99 Miles Away. Find The Angle Of Elevation

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Answer:

x=-8 y=6

Step-by-step explanation:

Add the two equations together. This cancels the x and gets us y=6

Then substitute y in more the first equation which gets us -8

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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The answer is true because in order for x to be greater than 7, it would have to be 8 or above.

The pie chart shows information about voters in an election. 3360
more women voted than men. Work out the total number of voters.

Answers

Answer:

4838 total number of voters

Step-by-step explanation:

In a whole circle there 360°, in a straight line theres 180°.

180-110=70 first to break it down to find the degrees of women.

180+70=250° for women.

250°=3360

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−|−39| =
|−44|+5 =
50−|−18| =

Answers

Answer:

-39

Step-by-step explanation:

⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄

Answer:

1. -39

2. 49

3. 32

Step-by-step explanation:

absolute values are always positive!!!

|-39| = 39 but since there is a minus sign outside the lines it is -39

|-44| = 44+5= 49

And 50 - 18 = 32 (|-18| = 18)

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Answer:4

Step-by-step explanation:

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Answers

Answer:

$13

Step-by-step explanation:

Answer: You will get $13 back

Step-by-step explanation: The cost of the shirts is $27 and since you are paying with $40 you subtract 40 to 27 and get $13.

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Answer:

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Step-by-step explanation:

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Answers

Answer= F^-1(x)= x-12
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Answer:

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Answer:

if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

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Answers

Answer:

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Step-by-step explanation:

Answer:

111.72

Step-by-step explanation:

76 × (147/100)

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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B. To make 9 servings, Charlotte should use 8 cups of milk.
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You are biking to your friends' house to do math homework. Halfway there, you realize you forgot your textbook, so you turn around. After biking 0.25 mile, you are one mile from your house. What is the distance between your house and your friend's house.

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Answers

Answer:

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Step-by-step explanation:

Let the distance between the houses be X.

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Answers

Answer: 14 gardens

Explanation:

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Answers

Answer:

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Answers

Answer:

x=2;y=1

(2,1)

Step-by-step explanation:

y= 6x− 11

−2x− 3(6x-11)= −7

-2x-18x+33=-7

-20x+33=-7

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y=1

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Answer:
(x,y) = (2,1)

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

the measure of cord ab will be 4 unit.

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Consider the following work breakdown structure: Time Estimates (days) Activity Precedes Optimistic Most Likely Pessimistic Start A,B - - - A C,D 44 50 56 B D 45 60 75 C E 42 45 48 D F 31 40 49 E F 27 36 39 F End 58 70 82 What is the probability that the critical path for this project will be completed within 210 days

Answers

Answer: the probability that the critical path for this project will be completed within 210 days is 0.99725

Step-by-step explanation:

Given that;

Work break down is;

Time Estimates (days)

Activity Precedes Optimistic Most Likely Pessimistic

Start A,B - - -

A C,D 44 50 56

B D 45 60 75

C E 42 45 48

D F 31 40 49

E F 27 36 39

F End 58 70 82

we know that;

Expected Time = ( Optimistic Time + ( 4 × most likely time) + pessimistic time) / 6

and

Variance = [( pessimistic time - Optimistic time) / 6 ]²

ACTIVITY EXPECTED TIME VARIANCE

A (44 + (4 × 50) + 56) / 6 = 50 ((56 - 44) / 6)² = 4

B (45 + (4 × 60) + 75) / 6 = 60 ((75 - 45) / 6)² = 25

C (42 + (4 × 45) + 48) / 6 = 45 ((48 - 42) / 6)² = 1

D (31 + (4 * 40) + 49) / 6 = 40 ((49 - 31) / 6)² = 9

E (27 + (4 * 36) + 39) / 6 = 35 ((39 - 27) / 6)² = 4

F (58 + (4 * 70) + 82) / 6 = 70 ((82 - 58) / 6)² = 16

ACTIVITY DURATION ES EF LS LF SLACK

A 50 0 50 0 50 0

B 60 0 60 30 90 30

C 45 50 95 50 95 0

D 40 60 100 90 130 30

E 35 95 130 95 130 0

F 70 130 200 130 200 0

FORWARD PASS:

ES = MAXIMUM EF OF ALL PREDECESSOR ACTIVITIES; 0 IF NO PREDECESSORS ARE PRESENT.

EF = ES + DURATION OF THE ACTIVITY.

CRITICAL PATH = PATH WITH THE LONGEST COMBINED DURATION VALUE AND 0 SLACK.

CRITICAL PATH = ACEF

DURATION OF PROJECT = 200

Now the probability

VARIANCE OF CRITICAL PATH = SIGMA(VARIANCE OF THE CRITICAL PATH) = 25

STANDARD DEVIATION OF CRITICAL PATH = SQRT(VARIANCE OF CRITICAL PATH) = 5

EXPECTED TIME = DURATION OF THE PROJECT = CRITICAL PATH = 200

DUE TIME = 210

Z = (DUE TIME - EXPECTED TIME) / STANDARD DEVIATION OF CRITICAL PATH)

Z = (210 - 200) / 5 = 2

Now form the Normal Distribution Table;

Z = 0.99725

Therefore, the probability that the critical path for this project will be completed within 210 days is 0.99725

Solve:
6 divided by 1/5

Answers

Answer:

Step-by-step explanation:

6/1 divided by 1/5...(turn the second fraction into 5/1)

therefore...6/1 multiplied by 5/1

=6 multiplied by 5= 30

6 divided by 1/5 is equal to 30.

To solve 6 divided by 1/5, we can multiply the dividend (6) by the reciprocal of the divisor (1/5). The reciprocal of a fraction is obtained by flipping it, so the reciprocal of 1/5 is 5/1.

6 ÷ 1/5 = 6 × 5/1

Multiplying:

6 × 5 = 30

Therefore, 6 divided by 1/5 is equal to 30.

To know more about divided, refer here:

https://brainly.com/question/15381501

#SPJ6

What is the constant of proportionality for the relationship shown in the table? x 2 4 6 8 y 1 2 3 4
1/2
2
or not proportional

Answers

Answer:

1/2

Step-by-step explanation:

Given

x 2 4 6 8

y 1 2 3 4

Required

Determine the constant of proportionality (k)

The relationship between x and y is:

[tex]y = kx[/tex]

When y = 2, x = 4;

So, we have:

[tex]2 = k * 4[/tex]

[tex]2 = 4k[/tex]

[tex]4k = 2[/tex]

Make k the subject

[tex]k = \frac{2}{4}[/tex]

[tex]k = \frac{1}{2}[/tex]

Hence, the constant of proportionality is 1/2

Answer:

1/2

Step-by-step explanation:

divide each one by two

Find the common difference of the arithmetic sequence 14,7,0 ....

Answers

Answer:

Step-by-step explanation:

the formula for common difference is

d = aₙ - aₙ₋₁

So,

d = a₂-a₁ = a₃-a₂

d =7-14 & d=0-7

d = -7 & d = -7

Which lines are parallel

Answers

Answer:

Blue and Red line

Step-by-step explanation:

Hope I helped!

Answer:

The blue and the pink lines are parallel

Step-by-step explanation:

because they have the same slope

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A. y=x-
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c
- 4x + 29
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C. y=1x2 - 4
D. y-1x2 - Bx +29
4x +21
W

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It is d y-1x2-Bc+29 I say that bc it says that in the answer up above

Someone help right now :(

Answers

Answer:

Step-by-step explanation:

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