Mathematics High School

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

!!!!NEED HELP ASAP DUE SOON!!!!!This table of values represents a linear function. Enter an equation that represents the function defined by this table of values.

Answers

Answer:

y=3x+6

Step-by-step explanation:

Just test this on like a graph or something and you will see it works. Let me know if there is a fault in my answer. Thanks! Have a good day.

please help!! it’s due asap

Answers

Answer:

x = -4 and 2

Step-by-step explanation:

When x = -4 and 2, y = 0 so -4 and 2 are the roots

PLEASE HELP!!

Daniel deposits $1250 into each of two savings accounts shown in the image. Daniel does not make any additional deposits or withdrawals.
- Account A earns 5% annual simple interest.
- Account Bearns 5% interest compounded annually
What is the sum of the balances of Account A and Account B at the end of 4 years?

A. $1,500.00
B. $1,519.38
C. $3,019.38
D. $2,857.59

Answers

Answer:

234

Step-by-step explanation:

x=2+3

determine the mode of the set of data in the stem and leaf plot below​

Answers

Answer:

51

Step-by-step explanation:

mode is the value which appears the most than other values. In this case 51 will appear 3 times.

Answer:

5.1

Step-by-step explanation:

dont forget the decimal

person who answers this WITH complete explanation, formula, AND correct answer will be marked BRAINLIEST...... pls answer:

2/5 x -3/7 - 1/6 x 3/2 - 1/4 x 2/5

Answers

The answer I got is -3/140 since you must multiply first, then subtract the fractions

Estimate 103 + 94 by first rounding each number to the nearest ten

Answers

Answer:

200

Step-by-step explanation:

103+94

=100+100

=200

Answer:

197 the nearest ten is 200

Step-by-step explanation:

he need to put the nearest ten

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

-9p+3

plz mark me as brainliest

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

Use the distance formula:

[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]

plug in (-5,6) for (x1,y1) and (-3,-1) for (x2,y2)

[tex]\sqrt{(-5-(-3))^2+(6-(-1))^2}[/tex]

[tex]\sqrt{4+49}[/tex]

[tex]\sqrt{53}[/tex]

Hope that helps :)

Sidney has $100 in a savings account. The interest rate is 10% per year and is not
compounded. How much interest will she earn in 3 years?

Answers

Answer:

130 dollars

Step-by-step explanation:

This time I don't think I done messed it up

Have a good day!

Use completing the square to find the equation of the following circle in standard form.

x2 + y2 - 4x + 12y - 16 = 0

Answers

Answer:

Here's a calculator that should help

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/algebra/completing-the-square-calculator.php

1) Evaluate the following expressions.show your work
a) 7(m - 8) for m = -4

Answers

Answer:

-84

Step-by-step explanation:

Since m=-4, we can plug -4 into the expression and use PEMDAS

7(m - 8)

7((-4)-8)

7(-12)

-84

A guy wire supporting a radio tower is attached to the tower 128 feet above the ground. The wire makes a 45 degree angle with the ground. How long is the guy wire

Answers

Answer:

181 feet

Step-by-step explanation:

From the the diagram attached ,

Sinθ = a/b..................... Equation 1

Where θ = angle to the horizontal, a = Height of the tower, b = length of the wire.

make b the subject of the equation

b = a/sinθ................. Equation 2

Given: a = 128 feet, θ = 45°

Substitute these values into equation 2

b = 128/sin45°

b = 128/0.7071

b = 181 feet

b = 181 feet

What are the x and y-intercepts of the line described by this equation? −6x+3y=18.9−6x+3y=18.9 Enter your answers in the boxes in decimal form.

Answers

Answer:

x intercept = -3.15

y intercept = 6.3

Step-by-step explanation:

Given the expression

-6x+3y=18.9

x intercept occurs at y = 0

-6x+3(0)=18.9

-6x = 18.9

x = -18.9/6

x = -3.15

Hence the x intercept is -3.15

y intercept occurs at x= 0

-6(0)+3y=18.9

3y = 18.9

y = 18.9/3

y = 6.3

Hence the y intercept is 6.3

A cylindrical soup can has a radius of 1.9 in. and is 5.9 in. tall. Find the volume of the can.

Answers

Answer:

66.93 in^3

Step-by-step explanation:

Volume = πr^2h

=> V = 22/7*(1.9)^2*5.9 = 66.93 in^3

I need this answered quickly!
Please and Thank you!

Answers

Answer:

A

Step-by-step explanation:

-0.2 translates to -2/10 and then simplifies to -1/5 so you would minus it from the bigger number which is 3/5 because its positive.


Find the total lateral area of the following
cone. Leave your answer in terms of a.
4 cm
3 cm
LA = ? cm2

Answers

Answer:

15π cm²

Step-by-step explanation:

The total lateral area of a cone

= πr√h² + r²

= √h² + r² = l

h = Height = 4cm

r = radius = 3cm

Hence:

= π × 3 √4² + 3²

= 3π × √16 + 9

= 3π × √25

= 3π × 5

= 15π cm²

True or false is the graph of y = 2/3 x + 4

Answers

Answer:

False. 2/3 is positive so therefore, it would be increasing, not decreasing.

Step-by-step explanation:

In the above figure, m∠AOC = 30° and m∠BOD = (2x + 39)°. If ∠AOC and ∠BOD are vertical angles, what is the value of x? A. x = 69 B. x = -9 C. x = 34.5 D. x = -4.5
i need help asap

Answers

Answer:

bestie thats hard

Step-by-step explanation:

Answer:

D. x=-4.5

Step-by-step explanation:

Since they are both vertical angles, m∠BOD must also be equal to 30 degrees, and if you input -4.5 as x, (2 x -4.5x) + 39, that is rewritten as -9 and 39. 39 - 9 is 30 degrees.

Make up any linear equation with two variables the solution to which will be these pairs of numbers. x=2, y=4.5 PLS HELP

Answers

Answer:

[tex]y = 0.25x + 4[/tex]

[tex](x,y) = (2,4.5)[/tex]

Step-by-step explanation:

Given

[tex]x = 2[/tex]

[tex]y = 4.5[/tex]

Required

Make up a linear function

A linear function is represented as:

[tex]y = mx + b[/tex]

Assume [tex]b = 4[/tex]

The equation becomes

[tex]y = mx + 4[/tex]

Substitute [tex]x = 2[/tex] and [tex]y = 4.5[/tex] to solve for m

[tex]4.5 = m*2 + 4[/tex]

[tex]4.5 = 2m + 4\\[/tex]

Solve for m

[tex]2m = 4.5 - 4[/tex]

[tex]2m = 0.5[/tex]

[tex]m = 0.5/2[/tex]

[tex]m = 0.25[/tex]

So, we have:

[tex]m = 0.25[/tex], [tex]b = 4[/tex], [tex]x = 2[/tex] and [tex]y = 4.5[/tex]

[tex]y = mx + b[/tex] becomes

[tex]y = 0.25x + 4[/tex]

[tex](x,y) = (2,4.5)[/tex]

what is the value of y

Answers

Answer:

y= -6

Step-by-step explanation:

-2y - 5y= -7y

-7y=42

42/-7=

y= -6

The students in a club are selling flowerpots to raise money.Each flowerpot sells for $15.

Part A

Write an expression that represents The total amount of money, in dollars, The students raise from selling flowerpots.
Answer your expression in the box provided. Enter only your expression.Please hurry!

Answers

Answer:

y = 15x

Step-by-step explanation:

For every flower pot purchased (y), the quantitity of the price (x) will go up by $15.

Answer:

y = 15x

Step-by-step explanation:

Sam and her brother Nate are collecting stamps together. Nate has collected 5 more than twice the number of stamps Sam has collected. In total they have 26 stamps. Let n be the number of stamps that Sam has collected. Which of the following equations models this situation?
1. 2n+5=26
2. n+2n+5=26
3. 2n+5-n=26
4. n+2(n+5)= 26

Answers

Answer:

2. n(2n+5)=26.

Step-by-step explanation:

If Sam has n stamps, and Nate has 5 more than twice that amount, the equation would be: 2. n(2n+5)=26.

Which of the following sets of numbers could not represent the three sides of a right
triangle?

Answers

Answer:

{48, 64, 81}

Step-by-step explanation:

Help please multiple choice interval. 20 Points. Thanks very much!​

Answers

Answer:

D

Step-by-step explanation:

Find the value of the variables in the simplest form

Answers

Answer:

y = 2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

y² = ([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{2}[/tex] )² = 2 + 2 = 4 ( take the square root of both sides )

y = [tex]\sqrt{4}[/tex] = 2

A race was 993 meters. If 28 people ran in the marathon how many meters would they
have run total?

Answers

Answer:

27,804

Step-by-step explanation:

28x993= 27,804

Need help with this problem

Answers

my guy are you fr...it’s 140

15% of what number is 30?
please give the steps! i will give brainliest if you give the steps

Answers

Answer:

200

Step-by-step explanation:

15% is 0.15

0.15x = 30

x = 30/0.15 = 200

please help is it 2/9?​

Answers

Answer:

7/9    

Step-by-step explanation:

7/9

Answer:

7/9

Step-by-step explanation:

Brainliest maaaybe? :)

Find the area of the circle. Round your answer to the nearest hundredth. diameter 3in

Answers

Area of circle = pi × r squared

A= 3.14....× (1.5×1.5)

A= 7.068583471

A= 7.07in( to nearest hundredth)

Other Questions
The wedge is one-eighth of the wheel of cheese. A cylindrical-shaped wheel of cheese has a radius of 3 inches and height of 1 inch. A wedge of cheese is sliced from the whole. a. Find the surface area of the cheese before it is cut, round to the nearest hundredth. The surface area of the cheese before it is cut is in. $^2$ . b. Find the surface area of the remaining cheese after the wedge is removed, round to the nearest hundredth. The surface area of the remaining cheese after the wedge is removed is about square inches. Question 2 Did the surface area increase, decrease, or remain the same 1. (An example of non-point-source pollution isA. Wastewater from a leaking pipe.B. Fertilizer runoff from lawns.C. Oil from a leaking underground tank.D. Chemicals released from a paper mill Which of the following is an example of improving communication skills? 4. You are at your favorite Starbucks having a snack. Someone who you consider a friendcomes in, but with a different person than she usually dates. You suddenly feeluncomfortable even though you have been here dozens of times before. This is anexample ofa. Who am I?b. Time and Placec. Keeping It Relevantd. Adultse. Friend Groupf. Young Loveg. Loss of Innocence ok sooooooocant you call carrot juice orange juice. Forensic investigator Adams is working on a crime scene involving the use of a very rare explosive. She already knows that she needs to find out who set the explosive. Following the scientific method what would be her next step in solving this mystery? Form a hypothesis about the person who bought the explosive Conclude that the homeowner set the explosive Collect some data about the distribution of the explosive Hand over her work to the police so that they can make an arrest Marking as brainliest!! Answer the two questions on the side an the paragraph reading is beside it! Which of the following does the frog represent? A. Primary producer B. Primary consumer C. Secondary consumer D. Decomposer Which part of the female reproductive system is highlighted below?A. Fallopian tubeB. OvaryC. UterusD. Cervix Local revenue collection is directly linked to what? property taxes? services provided fee collection all of the above PLEASE HELP!!! what protein is part of the basal lamina outside blood vessels, and activates platelets when they stick to it?-hemoglobin-collagen-fibrinogen-tissue factor 2.45 divided by 0.17 = Its not 14.41176470588235 help PLz will mark brain list Hiii :)))Can we sing a song? plz Me first...I was there when you were my babyyour turn :)) LIST THESE BY GREATEST NUMBER OF PROTONS, please.HYDROGENALUMINUMNICKELLITHIUMGOLDARGONMERCURYIODINE How was the Neolithic period different from the Paleolithic period?A. People moved from a nomadic life to a stable life as villagers and farmers.B. People started building shelters from hides and branches.C. People started making different kinds of tools, such as hand axes, to make sculptures. Space hurricanes are caused by____________.Question 2 options:streams of plasma unleashed from the sun in what's known as the solar wind.the warm waters of the ocean fuel space hurricanes.electrons and protons combining together to form a massive tornado like feature in the sky.the planet Pluto, who is still mad about being kicked out of our solar system. true or false: before becoming part of the nation of israel, the golan heights served as a united nations buffer zone. PLZZZZZ HELP WILL GIVE BRAINLIEST NO LINKS!!OR ELSEA person is taken to the emergency room at Baptist Hospital vomiting, bleeding and with severe diarrhea. He complained of a headache, shortness of breath and body aches. The doctor quickly checked the composition of the patients blood plasma, the light-yellow liquid that carries salts and enzymes, and determined he was severely dehydrated. Thus, causing a severe loss of fluid in the blood and an increase of blood cell concentration. The doctor prescribed intravenous liquids (IV) and rest.Based on the patients symptoms and doctors initial prognosis, how does dehydration affect a persons blood flow and blood pressure? SC.912. L.14.36The patients blood viscosity would increase, causing blood flow to increase and blood pressure to decreaseThe patients blood viscosity would decrease, causing the blood flow and blood pressure to remain at a stable rhythmThe patients blood viscosity would decrease, causing the blood flow to decrease and the blood pressure to also decreaseThe patients blood viscosity would increase, causing the blood flow to decrease and the blood pressure to increase Argon occupies a volume of 28.3 L at a pressure of 0.36 atm. Find the volume of argon when the pressure is increased to 0.85 atm.