You are on a boat in the ocean, at point A. You locate a lighthouse at point D, beyond the line of sight of the marker at point C. You travel 90 feet west to point B and then 36 feet south to point C. You travel 100 feet more to arrive at point E, which is due east of the lighthouse. What is the distance from point E to the lighthouse?

Answers

Answer 1

Answer:

Step-by-step explanation:

Step-by-step explanation:

Since, after making the diagram of this situation,

We get two triangles ABC and CED,

In which AB = 90 feet, BC = 36 feet and CE = 100 feet,

Now,

       ( Vertically opposite angles )

        ( Right angles )

By AA similarity postulate,

By the property of similar triangles,

Since, point D represents the lighthouse.

Hence, the distance from point E to the lighthouse = 250 feet


Related Questions

A class of 32 students has 12 girls. What is the ratio of girls to boys?

A. 3:5
B. 5:3
C. 3:8
D. 8:3

Answers

Answer:

d is the answer

in think

Step-by-step explanation:

try it

Answer:

A

Step-by-step explanation:

Number of student=32

Number of girls=12

Number of boys=32-12

=20

Ratio of girls to boys=12:20

=6:10

=3:5

1) The newly opened Mario's Trattoria is expected to produce a continuous income stream at the rate of
R(t) = 130,000
dollars/year for the next 3 years. If the prevailing interest rate is 3.6%/year compounded continuously, find the future value of this income stream. (Round your answer to two decimal places.)

2) Suppose an investment is expected to generate income at the rate of
R(t) = 200,000
dollars/year for the next 9 years. Find the present value of this investment if the prevailing interest rate is 8%/year compounded continuously. (Round your answer to two decimal places.)

3) Camille purchased a 14-year franchise for a computer outlet store that is expected to generate income at the rate of
R(t) = 400,000
dollars/year. If the prevailing interest rate is 10%/year compounded continuously, find the present value of the franchise. (Round your answer to the nearest whole number.)

Answers

Answer:

Step-by-step explanation:

1) The newly opened Mario's Trattoria is expected to produce a continuous income stream at the rate of

R(t) = 130,000 to generate income at the rate of

R(t) = 200,000 Camille purchased a 14-year franchise for a computer outlet store that is expected to generate income at the rate of

R(t) = 400,000

Side XY of triangle XYZ is extended to point W, creating a linear pair with ∠WYZ and ∠XYZ.

Triangle X Y Z. Point W extends from side X Y. Angle Z is 36 degrees, angle Y is x degrees, and exterior angle W Y Z is 100 degrees.

What is the value of x?
64
80
100
180
I NEED HELP ON SOME MORE PROBLEMS ANYONE WILLING TO HELP???

Answers

Answer:

80

Step-by-step explanation:

Answer:

B (also known as 30)

Step-by-step explanation:

hope this helps!

Rewrite the equation below so that it does not have fractions.
3 - 3/4x = 5/8​

Answers

Answer:

3 - 0.75x= .625

Step-by-step explanation:

3/4=0.75

5/8=0.625


2(5x−2)− 2x -2 =34
Solve for x

Answers

X equals five my guy

System of Equations in Three Variables Word Problem

Answers

Answer:

i think the answer is a number or multiple number and maybe a decimal.

Step-by-step explanation:

go to Tiger Algebra Solver

Which is a graph for the inequality m greater than or equal to 2?

Answers

Answer:

The third one is the answer. if you ever need help hit me up.

Step-by-step explanation:

Rewrite the expression in the form b^n

Answers

Answer:

b 15/4

Step-by-step explanation:

Simplify 3x ^ 2 - 4 +2x -1 + x^ 2 then evaluate for x = - 1

Answers

Step-by-step explanation:

4x^2+2x-5

4(-1)^2+2(-1)-5

4-2-5

2-5= -3

The answer to this question is -3

Look at image which graph shows T (ABC)?

Answers

Answer:

A.

Step-by-step explanation:

That is a translation of 3 units left and 6 units down.

For all numbers x, f(x) = 3x + 3. What is the value of
f(3)?

Answers

12
Plug three into the equation 3(3) + 3 =12

Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?

-$6.75
-$9.00
-$12.00
-$27.00

Answers

Answer: 27.00

Step-by-step explanation:

$50 - $23 = $27

Answer:

$27.00

Step-by-step explanation:

"D"

Find the remainder when f(x) = 2x3 − 12x2 + 11x + 2 is divided by x − 5.

Answers

Answer: I couldn’t find your answer to this mathematics question, try a different question to this mathematics answer so I can get it.

Step-by-step explanation:

Answer:

Its 7 pls brainliest

Step-by-step explanation:

What is the polynomial of least degree with the given zeroes -2 and 4?

Answers

Answer:

-2

Step-by-step explanation:

base on my stuck knowledge

A snowboard shop charges $10, plus an additional #3 per hour to rent a snowboard. Write the equation for the line in slope-intercept form.

HURRY HELP PLS!!

Answers

Answer:

y = 3x + 10

Step-by-step explanation:

Answer:

im pretty sure it is (0,5) or (10,0)

Step-by-step explanation:

Solve: 2x + 15 = -3x
Please help me out! I need to solve for X

Answers

Answer:

X=-3

Step-by-step explanation:

2x+15=-3x

15=-5x

x=15/-5

x=-3

Answer:

x = -3

Step-by-step explanation:

2x + 15 = -3x

15 = -5x

x = -3

The following measurements were added: 5.45 + 6.1 + 2.84. what should
the answer be reported as *
1)14.39
2)14.3
3)14.4
4)14

Answers

Answer: 14.39

Explanation:

5.45+2.84= 8.29
Then for 6.1 you add a zero to the end and make it 6.10 which is the same thing
Now 8.29+6.10= 14.39

Help me please please

Answers

Answer:

wut i cannot see the question

Step-by-step explanation:

2)
Mike went to the doctor and was found to be 20 pounds overweight.
The doctor discovered that Mike ate an average of 2000 calories per
day. He said for Mike to lose weight and meet his goal, the maximum
amount of calories he could eat per day was 1750. How many calories
will Mike be cutting out each week (7 days)?

Answers

Answer:

1750 Calories

Step-by-step explanation:

2000-1750=250

250x7=1750

6. What is the equation in slope-intercept form for the graph shown?
A) y + x = −2
B) y = 2x + 1
C) y – 2x = 1
D) y = –2x + 1

Answers

d, the rise over run method -2/1 and the y intercept is 1

Please help me I need help?!!!

Answers

Answer:

B

Step-by-step explanation:

4252.50=(18000)(r)(54)

Answers

Step-by-step explanation:

do you want to find r?

so do 4252.50/ (18000*54)

Three good friends are in the same algebra class. Their scores on a recent test are three consecutive integers whose sum is 252 ? Pls asap

Answers

Answer:

83, 84, 85

Step-by-step explanation:

a cook has 6 1/2 cups of sliced carrots
how many 3/4 cup servings of carrots is this

Answers

Answer
8 2/3 cup servings of carrot.

Explanation
Divide 61/2 by 3/4

Answer:8 2/3

Step-by-step explanation:

3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10 2 Hours Late 1/20 3 Hours Late 1/20​

Answers

Answer:

The expected value of lateness [tex]\frac{7}{20}[/tex] hours.

Step-by-step explanation:

The probability distribution of lateness is as follows:

  Lateness             P (Lateness)

  On Time                     4/5

1 Hour Late                  1/10

2 Hours Late                1/20

3 Hours Late                1/20​

The formula of expected value of a random variable is:

[tex]E(X)=\sum x\cdot P(X=x)[/tex]

Compute the expected value of lateness as follows:

[tex]E(X)=\sum x\cdot P(X=x)[/tex]

         [tex]=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}[/tex]

Thus, the expected value of lateness [tex]\frac{7}{20}[/tex] hours.

An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.

Expected value of lateness is  [tex]\frac{7}{20}[/tex] hours.

Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.

So, below a table is formed.

         x       0             1            2           3

      P(x)      4/5         1/10      1/20       1/20

From formula of expected value,

        E(x) = ∑ x P(x)

[tex]E(x)=(0*\frac{4}{5} )+(1*\frac{1}{10} )+(2*\frac{1}{20} )+(3*\frac{1}{20} )\\\\E(x)=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20} \\\\E(x)=\frac{7}{20}[/tex]

So, expected value of lateness is 7/20 hours.

Learn more:

https://brainly.com/question/23286309

Sarah joined an online music store. She wants to spend no more than $75 at the music
store. The cost of her yearly membership is $15.99 and the price to download a song
$0.79. What number of songs can Sarah download and stay within her budget.

Answers

Answer:

sarah can buy 88 songs

Step-by-step explanation:

filler fbjebdjsndjen

Answer:

sarah has to give her 15.99 from 75 after that she will be left with 59.01 and with that she can buy 74 songs

PLEASE HELP ME!!! ASAP!! ITS ALMOST DUE!!

Answers

Answer:

I'm pretty sure it's the first one. If i'm wrong i am terribly sorry

Step-by-step explanation:

Answer:

Y-intercept is -6 and the slope is 1

Step-by-step explanation:

You can use Y2-Y1/X2-X1 to find the slope. Then, you can use y=mx+b to find the y-intercept.

How do you get from one number to the next using multiplication or division?
From 100 to 106
From 100 to 90
From 90 to 100
From 106 to 100

Answers

Answer:

You use decimal values. Like for the first one, multiply 100 by 0.01.

Step-by-step explanation:

The multiplication or division is 10^6/10^4

How to interpret integral multiplication?

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

Given;

From 100 to 10^6;

100 * 10^4  = 10^6

From 100 to 90;

100/10*9=90

From 90 to 100

90/9*10=100

From 10^6 to 100

10^6/10^4=100

Therefore, by multiplication or division will be 10^6/10^4

Learn more about multiplication here:

https://brainly.com/question/26816519

#SPJ2

-2(b+5)= -6
What is b?

Answers

Answer:

-2

Step-by-step explanation:

It would be =

-2(-2 + 5) = -6

4 - 10 = -6

-10 and a positive four is a -6

a duck swam 10.5 kilometers in 3 hours. how many kilometers per hour did the duck swim

Answers

Answer:

3.5 km

Step-by-step explanation:

its 10.5 divided by 3 to get this answer

plz give me brainliest i need it plz

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