Two boats start their journey from the same point A and travel along directions AC and AD, as shown below:

What is the distance, CD, between the boats?

230.9 ft
284.3 ft
115.5 ft
173.2 ft

Two Boats Start Their Journey From The Same Point A And Travel Along Directions AC And AD, As Shown Below:What

Answers

Answer 1

Answer:

Option (1)

Step-by-step explanation:

By applying tangent rule in ΔABD,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{AB}{BD}[/tex]

BD = [tex]\frac{AD}{\text{tan}(30)}[/tex]

BD = [tex]\frac{200}{\frac{1}{\sqrt{3} } }[/tex]

BD = 200√3 ft

By applying tangent rule in ΔABC,

tan(60°) = [tex]\frac{AB}{BC}[/tex]

[tex]\sqrt{3}=\frac{200}{BC}[/tex]

BC = [tex]\frac{200}{\sqrt{3}}[/tex]

Since, CD = BD - BC

CD = 200√3 - [tex]\frac{200}{\sqrt{3}}[/tex]

     = 346.41 - 115.47

     = 230.94 ft

     ≈ 230.9 ft

Therefore, Option (1) will be the correct option.

Answer 2

Answer:

230.9 ft

Step-by-step explanation:

person above said it was correct answer


Related Questions

what number adds up to three and multiples 22 to

Answers

Answer:

Factors of 22: 1, 2, 11, and 22.

Prime Factorization of 22: 22 = 2 × 11.Step-by-step explanation:

Does the nature of the data allow you describe the difference of the two medians as a multiple of the interquartile range? If so, what is the multiple?

Answers

Answer:

1/3

Step-by-step explanation:

From the figure, we know that the median of Amy is 40 and the median of Megan is 35.

Therefore the difference in their medians is = 40 - 35

                                                                         = 5

We see that Q1 of Megan is 25 and Q3 is 40. Therefore, her interquartile range is given by Q3 - Q1 = 40 - 25

                                           = 15

So, the difference of the medians is the multiple of the interquartile range.

So the multiple is = 5/15

                             = 1/3 (IQR of Megan)

Answer:

Yes, I can describe the difference of the two medians as a multiple of the interquartile range as shown below.

Step-by-step explanation:

The difference of the medians for the two data sets is 69 − 60 = 9. The interquartile ranges for the data sets are 9 ounces and 8 ounces.

This shows that the difference of the medians is about 1 times, or nearly equal to, the interquartile range of either data set.

For Genivieve, the multiple is 1:

9 = m(9)

m = 1

For Mindy, the multiple is 1.125:

9 = m(8)

m = 1.125

(This is the answer on edumentum)

Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you.

Answers

Answer:

[tex]14/50\\[/tex]

Step-by-step explanation:

The equation for sine is sine = opposite/ hypotenuse

The opposite of W is 14 and the hypotenuse the the side across the 90° angle, which is 50.

So, when you set up the equation it should be [tex]14/50[/tex].

Given the data 21, 13, 13, 37, 13, 23, 25, 15: What is the outlier in the data? What is the mean with the outlier? What is the mean without the outlier? A. 13; 21; 17.6 B. 37; 20; 17.6 C. 37; 17.6; 20 D. 13; 17.6; 21

Answers

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. The outliner in this problem is 37. The mean with the outliner is 20 and 17.6 with out it,therefore the answer is B

An FBI agent orders a block of ballistics gel. The gel weighs 54 pounds per cubic foot. What is the weight of the block of gel?

Answers

Answer:

22.5 pounds

Step-by-step explanation:

The computation of the weight of the block of gel is shown below:

As we know that

Volume = (length) (width) (height)

= (20) (6 ) (6)

= 720 cubic inches

Now we have to convert into cubic foot

As we know that

1 ft = 12 inches

So 1ft^3 = 12 inches^3

= 1728 inches ^3

Now

= 720 × 1 cubic foot ÷ 1728 cubic inches

= 5 ÷ 12

Now the weight is

= 54 × 5 ÷ 12

= 22.5 pounds

pls help question is on picture

Answers

Answer:

9/15 = 3/5 (simplified)

Step-by-step explanation:

In a right triangle, the cosine is the ratio of the adjacent side to the hypotenuse:

[tex]\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is the side that makes up the angle but is not the hypotenuse.

I'm assuming the answer box should ask for cos(theta) rather than cos(x).

Help! Look at my last most recent question for 100 points. This one only offers 10.

Answers

Answer: 2.43m^3

Step-by-step explanation:

Answer: 2.43cm^3

Step-by-step explanation:

PLEASE mark me BRAINIEST! One more until next ranking!

Exercise 1. A batch of 400 containers for frozen orange juice contains 4 that are defective. Two are selected, at random, without replacement from the batch.

(1) What is the probability that the second one selected is defective given that the first one was defective?

(2) What is the probability that both are defective?

(3) What is the probability that both are non-defective?

Answers

Answer:

1. 1/13,300

2. 1/13,300

3. 2607/2660

Step-by-step explanation:

Probability is the ratio of the number of possible outcomes to the number of total outcome. The probability that an event will happen added to the probability of the same even not happening is 1.

Given that there are 400 containers of frozen orange juice with 4 that are defective,

non-defective = 400 - 4 = 396

Probability of selecting

Non-defective  = 396/400 = 99/100

Defective = 4/100 = 1/100

the probability that the second one selected is defective given that the first one was defective is the same as  the probability that both are defective

= 4/400 *3/399

= 1/13,300

the probability that both are non-defective

= 396/400 * 395/399

= 99/100 * 395/399

= 33*79/20*133

= 2607/2660

Choose ALL the lines PARALLEL to the following line: y = 2/9x - 7
y = 9/2x-12
y = 2/9x + 8
-2y = 9x + 8
9y = 2x -18

Answers

Answer: y = 2/9x + 8 and -2y = 9x + 8

Step-by-step explanation: Hope this help :D

Parallel lines have the same slope so y = 2/9x + 8 and 9y = 2x -18 will be parallel to the line y = 2/9x - 7 so option (B) and (D) will be correct.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.

Parallel lines are those lines in which slopes are the same and the distance between them remains constant.

The equation of a linear line is given by

y = mx  + x where m is slope

So,

y = 2/9x - 7 have slope as 2/9

Now since parallel lines have the slope same so all lines whose slope matches with 2/9 will be parallel to this.

So,

y = 2/9x + 8 has slope of 2/9

9y = 2x -18 ⇒ y = 2/9 x - 2 has slope of 2/9

Hence "y = 2/9x + 8 and 9y = 2x -18 will be parallel to the line y = 2/9x - 7"

To learn more about parallel lines;

https://brainly.com/question/16701300

#SPJ6

Help me please! I will give 20 points and Brainliest!

Answers

J. 5a + 8 I think
I just added everything together

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES

Answers

Answer:

7) b, c, f

8) b, d, e

Step-by-step explanation:

Hope this helps!

solve the following question

Answers

Given:

The expressions are:

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}[/tex]

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}[/tex]

To find:

The simplified form of the given expressions.

Solution:

We have,

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}[/tex]

It can be written as:

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{12a^{2+1}bc^3}{40b^4c^2}[/tex]

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{3a^{3}c^{3-2}}{10b^{4-1}}[/tex]

[tex]\dfrac{2a^2b}{2c^2}\cdot \dfrac{6ac^3}{20b^4}=\dfrac{3a^{3}c^{1}}{10b^3}[/tex]

Therefore, the value of the given expression is [tex]\dfrac{3a^{3}c}{10b^3}[/tex].

We have,

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}[/tex]

It can be written as:

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}=\dfrac{(x+y)(x-y)}{4(x+y)}\cdot \dfrac{x+y}{x-y}[/tex]

[tex]\dfrac{x^2-y^2}{4x+4y}\cdot \dfrac{x+y}{x-y}=\dfrac{x+y}{4}[/tex]

Therefore, the value of the given expression is [tex]\dfrac{x+y}{4}[/tex].

A restaurant used 231 eggs last week. 46 of them are colored white, w. The remaining eggs are colored brown. Write an equation that represents the situation. ( i will give you brainly)

Answers

Answer:

46 + W = 231

Step-by-step explanation:

Answer:

My guess: 231 = 46 + b

Step-by-step explanation: Because they didn't mention how many were colored brown, we would use a variable to represent them, in this case I use b. But we do know 46 of them were white. so the equation would simply be 231 = 46 + b. After you add 46 and b you will get the total to 231. You can find b from subtracting 231 to 46. Then add b to 46 and get the total of 231

PLEASE HELP!!!! WILL MARK BRAINLIEST IF CORRECT!!!!!!

The picture shows the question, tables, and multiple-choice answers.

Love you, tysm, happy tuesday <3

Answers

-2 would be your answer

The green area of the figure above is grass.
The blue is a sidewalk. What is the area of the
sidewalk? Help ASAP

Answers

Answer:

80

Step-by-step explanation:

the answer is 80 because 8×10=80

Answer:

116

Step-by-step explanation:

Area of whole thing is 196 and area of grass is 80 so you do 196-80 to get 116.

Find a formula for the nth term in this
arithmetic sequence
(picture is attached)
please help, thank you

Answers

Answer:

nth term: n+6

Step-by-step explanation:

a1 gives -7 and a2 gives -1. Let's compare these two numbers. From -7 to -1, we need a +6. Since -7 + 6 = -1.

a2 to a3, -1 + 6 = 5

a3 to a4, -5 + 6 = 11

QUESTION 45
What is the value of x?
3x​

Answers

Answer:

1/67

Step-by-step explanation:

Complete question

If X+2/3x is equal to 45. find the value of x​

Given the equation

x+2/3x = 45

Cross multiply

x+2 = 3x(45)

x+2 = 135x

x - 135x = -2

-134x = -2

x = 2/134

x = 1/67

Hence the value of x is 1/67

Solve for x. 1/2x - 1/4 = 1/2

Answers

Answer:

x = 3/2

Step-by-step explanation:

Simplify this equation by dividing all three terms by 1/4:

2x - 1 = 2, or

2x  = 3

Then x = 3/2

no links
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8. The auditorium can hold a maximum of 110 people. The drama club must make at least $570 from ticket sales to cover the show's costs. Also, they must sell at least 20 student tickets and a maximum of 70 adult tickets. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

hgfxjdt

Step-by-step explanation:

Please help another one
Please no joke :)
Have a good day gelp me please

Answers

Answer:

1) [tex]x^{2}\cdot y[/tex] - It is a monomial with two variables: [tex]x[/tex], [tex]y[/tex]

2) [tex]3\cdot x^{3}+x^{3}[/tex] - It is binomial reductible to a monomial due to like terms. Number of variables: [tex]x[/tex]

3) [tex]a^{2}\cdot b^{3}\cdot c^{4}[/tex] - It is a monomial with three variables: [tex]a[/tex], [tex]b[/tex], [tex]c[/tex]

4) [tex]2\cdot x^{2}-3=n[/tex] - It is binomial equivalent to a monomial. Number of variables: [tex]x[/tex], [tex]n[/tex].

5) [tex]x^{2}-y+2\cdot x^{2} = 3[/tex] - It is trinomial reductible to a binomial due to like terms. And equivalent to a constant. Number of variables: [tex]x[/tex], [tex]y[/tex]

Step-by-step explanation:

We proceed to explain the context on each case and answer appropriately:

1) [tex]x^{2}\cdot y[/tex] - It is a monomial with two variables: [tex]x[/tex], [tex]y[/tex]

2) [tex]3\cdot x^{3}+x^{3}[/tex] - It is binomial reductible to a monomial due to like terms. Number of variables: [tex]x[/tex]

3) [tex]a^{2}\cdot b^{3}\cdot c^{4}[/tex] - It is a monomial with three variables: [tex]a[/tex], [tex]b[/tex], [tex]c[/tex]

4) [tex]2\cdot x^{2}-3=n[/tex] - It is binomial equivalent to a monomial. Number of variables: [tex]x[/tex], [tex]n[/tex].

5) [tex]x^{2}-y+2\cdot x^{2} = 3[/tex] - It is trinomial reductible to a binomial due to like terms. And equivalent to a constant. Number of variables: [tex]x[/tex], [tex]y[/tex]

Simplify 7a - 3(b - a)​

Answers

Answer:

10a-3b is your answer

Step-by-step explanation:

7a - 3(b - a)

7a-3b+3a

10a-3b

11. A bag contains 2 blue marbles and 2 green marbles. What is the probability of drawing a blue marble followed by a green marble, without replacing the first marble before drawing the second marble?
Please show work ty​

Answers

Answer: your answer should be 50%

Step-by-step explanation: This is because there are only four marbles in the bag total and only 2 are blue and only 2 are green so your chances of pulling out either is 50%

Answer:

33%

Step-by-step explanation:

2 blue marbles + 2 green marbles = 4 marbles

1st draw for blue:   2/4               (2 blue marbles out of 4 marbles)

2nd draw for green:   2/3          (1 less marble from 4, marble not put back in)

2/4  x  2/3   = 4/12 = 1/3 = 0.33 or 33%

What inequality does this number line show?
I need this question in 11 hours QwQ ​

Answers

Answer:

X>8

Step-by-step explanation:

Open circle, going towards larger numbers, meaning it is greater than eight but not equal to.

Is it possible to draw a quadrilateral that is not a rectangle, but has at least one right angle.Explain

Answers

Answer:

Yes

Step-by-step explanation:

A trapezoid with two right angles is a quadrilateral with two right angles.  

WHAT WOULD THiS BE! ‍♀️


no scammers pleaseee!

Answers

Answer:

First find the unit rate for julie

3 hours/45 dollars

0.066 hours/1 dollar

Now based off table, find Jacksons

y = 25x

if x = 1, y would be 25

25 - .066 = 24.934 dollars

Step-by-step explanation:

Three lines intersect at a common point. In the figure below, m∠1=x°, m∠2=2x°, and m∠3=75°.



Which equations can be used to determine the value of x? Select all that apply.




A:3x°=75°


B:3x°=105°


C:3x°=255°


D:3x°+75°=180°


E:x°+2x°+75°=180°


F:x°+2x°+3x°=360

Answers

Answer:

3x=105,x°+2x°+75°=180°,and 3x°+75°=180°

Step-by-step explanation:

no explanation sorry,your welcome

two points on a parabola are (-3,5) and (11,5) what is the equation of the axis of symmetry​

Answers

Answer:

I don't know how to do it the subject

how do I write an equation for a quadratic function represented by a table ?​

Answers

Answer:

Hello There!!

Step-by-step explanation:

Firstly,select three ordered pairs from the table. Secondly,substitute the first pair of values in to the form of the quadratic equation: f(x) = ax^2 + bx + c and then solve for a.

hope this helps,have a great day!!

~Pinky~

YALL PLEASE HELP, need to turn this in ASAP

Answers

Answer:

I believe the answer is 1,800 :)

Step-by-step explanation:

1,500x0.20=300+1,500=1,800

Hope this helped!

Sequence: 13.9.5.1.-3. ...
5) is this Arithmetic, Geometric, or Neither?
6) Write and Equation for the Sequence.
7) What is the 15th Term in the Sequence?

Answers

5.) this sequence above I arithmetic since it is being subtracted by a constant which is 4.
6.) the equation could be a(n)=13+(n-1)-4
7.) the 15th term of this sequence is -43
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