From a point on a cliff 75 feet above water level, an observer can see a shipThe angle of depression to the ship is d^ How far is the ship from the base of the to the nearest foot?

Answers

Answer 1

Answer:

52feet

Step-by-step explanation:

The set up will be a right angle

Let the angle of depression be 30°

The height above the sea level will be the opposite

The distance of the ship from the base is x (adjacent)

Using TOA

Tan theta = opposite/adjacent

Tan 30 = 30/x

x = 30/tan 30

x = 30/0.5774

x = 51.96

x ≈ 52 feet to the nearest foot


Related Questions

An equation is shown 3/5k=225. what is the value for k that makes the equation true?

Answers

Answer:

.0024

Step-by-step explanation:

3 = 225 x 5k

3/255 = 5k

5k = 0.117

k=0.0024

If m<10=75, m<7=46 and m<16=136, find the measure of each missing angle.

Answers

Answer:

See answers below:

Step-by-step explanation:

Using corresponding angles properties, angles opposed by the vertex, and supplementary angle properties, we get:

<1 = 75 degrees

<2 = 105 degrees

<3 = 44 degrees

<4 = 136 degrees

<5 = 44 degrees

<6 = 90 degrees

<7 = 46 degrees

<8 = 75 degrees

<9 = 105 degrees

<10 = 75 degrees

<11 = 59 degrees

<12 = 46 degrees

<13 = 75 degrees

<14 = 105 degrees

<15 = 44 degrees

<16 = 136 degrees

<17 = 44 degrees

<18 = 136 degrees

Alexander invested $320 in an account paying an interest rate of 1.5% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 18 years?

Answers

Answer:

$406.40

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.5%/100 = 0.015 per year.

Solving our equation:

A = 320(1 + (0.015 × 18)) = 406.4

A = $406.40

3x + 1 = 10
Show work

Answers

Answer:

x = 3

Step-by-step explanation:

3x + 1 = 10

subtract 1 from both sides of the equation

3x + 1 - 1 = 10 - 1

3x = 10 - 1

3x = 9

divide both sides of the equation by 3

3x/3 = 9/3

x = 9/3

x = 3

Answer:

X=3

Step-by-step explanation:

3x+1=10 -> switch 1 3x = 10 - 1

3x = 9

9/3 = 3

please help nobody's been answering this is urgent!!!

find the value of x and y

Answers

Answer:

Step-by-step explanation:

Set 5x+6 equal to 7x+4 and solve for x

x=1

11+y+6=180

y=180-17 which you know

Decimal or fraction form round all the way!

Answers

Answer:

The answer to the question provided is

[tex] \frac{1}{4} [/tex]

I'll give brainliest to whoever answers first

Answers

Answer:

5) 6

6)-70

7)5

8)-295

9)1

10)4

Step-by-step explanation:

5)10-4=6

6)-3(-5)^2+5=-70

7)-3(0)^2+5=5

8)-3(10)^2+10=-295

9)1/5=0.2

0.2(-5)+2=1

10)0.2(10)+2=4

HELP DUE in 20 MIN
m∠10 =

Answers

Answer:

Angle 1, 4, 5,7,10,12,13,15 : 133°

Angle 2,3,6,8,9,11,14,16 :47°

Step-by-step explanation:

Answer:

133°

Step-by-step explanation:

∠10 = 180° - ∠9∠9 ≅ ∠6 ≅ ∠2 = 47°

So

∠10 = 180° - 47° = 133°

please help im stuck on this question and its due for tomorrow please help!

rearrange y= 1/3x+1 to make x the subject

please help ill be very grateful tysm x

Answers

9514 1404 393

Answer:

  x = 3(y -1)

Step-by-step explanation:

In this, and any, "solve for ..." situation, you want to first take a look at where the variable of interest is in the equation, and what has been done to it.

Here, x is on the right side (only). It has these operations done to it:

multiplied by 1/31 added to the product

You solve for x by undoing these operations, in reverse order. As always, with any equation, you do the same thing to both sides of the equation.

__

First, we will undo "add 1". We do that by adding the opposite of 1.

  y -1 = 1/3x +1 -1 . . . . . -1 added (to both sides)

  y -1 = 1/3x . . . . . . . . . simplify

To undo the "multiply by 1/3", we can multiply by the "multiplicative inverse" (reciprocal) of 1/3. That is, we want to multiply by 3.

  3(y -1) = 3(1/3x) . . . . . multiply (both sides) by 3

  3(y -1) = x . . . . . . . . . simplify

We can leave it like this.

  x = 3(y -1)

Or, we can eliminate parentheses using the distributive property .

  x = 3y -3

These are completely equivalent equations with x as the subject.

A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are in the box plot shown. How many cars were going between 40 and 48 miles per hour?​ I know the answer but I need to know how to do it

Answers

Answer: 25 cars

Step-by-step explanation:

This is a box plot and it is a useful graph for showing the minimum, maximum, median and quartile values of a data distribution.

The box you see in the middle is the Interquartile range. In other words, the first line on the box is Q1 and the line at the end of the box is Q3.

The line in the middle of the box is the median or Q2.

The distance between Q1 and the median is 25%.

The number of cars between 40 and 48 miles per hour is therefore 25% of the total.

= 100 * 25%

= 25 cars

Answer:

25 cars

Step-by-step explanation:

Took the diagnostic

Write an equation and solve. Round to the nearest hundredth where necessary.

16 is what percent of 32?


A.) 16 = n • 32; 55%

B.) 16 = n • 32; 50%

C.) 32 = 16 • n; 2%

D.) 32 = 16 • n; 42.5%

Answers

B. 16=n*32; 50%

Step by step explanation:

16 divide 32= 1/2

1/2*100= 50

31 29 33 37 43 38 33 40
What is the mode of these numbers

Answers

The mode is 33 because it shows the most.

Answer:

33 is the mode of these numbers.

Step-by-step explanation:

The only number which appears multiple times is 33, so it is the mode.

I hope it helps ❤❤

Find the value of x.

Answers

9514 1404 393

Answer:

  (b)  48

Step-by-step explanation:

In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.

  x = √(36·64) = √36×√64 = 6×8

  x = 48

_____

All of the triangles are similar, so the ratios of corresponding sides are the same.

  short side/long side =  x/64 = 36/x

  x^2 = (64)(36) . . . .  as above

The first lap of an auto race is 2,500 meters. This is 10% of the total race distance. What is the total race distance?

Answers

Answer:

25,000

Step-by-step explanation:

.10(x) = 2,500

X = 2,500/(.10)

X=25,000

The length of the total race track is 25000 meters.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Let, 'x' be the total distance.

Therefore, From the given information 10% x is 2500 meters, This can be numerically expressed as,

(10/100)×x = 2500.

0.1x = 2500.

x = 25000.

Learn more about percentages here :

https://brainly.com/question/24159063

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If M is the midpoint of AB, A(-3, 4) and M(-1, 2) find the coordinates
of B.

Answers

Answer:

B(1,0)

Step-by-step explanation:

The midpoint of (a,b) and (c,d) is ((a+c)/2,(c+d)/2)

Essentially, you just average the x and y values.

So, the average of -3 and b_x is -1.

The average of 4 and b_y is 2.

So x=1 and y=0

what is the GCF of 6n^3, 18n^4, 36n^2

Answers

Answer:

6n^2 or 6n squared

Step-by-step explanation:

To find the greatest common factor we have to first find out all the factors for every other number.

Factors - Numbers you can multiply to find that number.

For example, we have 6n^3 what numbers can be multiplied to find that number?

What is the solution to the system of equations?
4x-5y=-2
X=15-4y

Answers

34. This is because you can just use a calculator

Select the correct answer from each drop-down menu.

1_____ × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also
2_____ times greater than 9.5 × 10-4.

Answers

Answer:

Well, 1 is 3.8 The second one is 40,

Step-by-step explanation:

I believe 1 is 3.8, b/c 1.9*2 is 3.8, and the difference between exponents makes 3 zeros, so 2000.

The second one is 40, I confirmed this by doing .0001 to replicate 10 to the negative 4th power

By doing 9.5*.0001*40, I got the 0.038 from 1

Answer:

3.8 × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also 4 times greater than 9.5 x 10-4.

Step-by-step explanation:

I started by doing 0.0000019 x 2000 and got 0.0038. If you move the decimal point 4 over you get 3.8.

EVERYONE ELSE IS WRONG!!! I got this correct on the test after retaking it, the second one is NOT 40 it is 4.

If f(x) = 4x^3 + 5, then what is the remainder when f(x) is divided by x-3?

Answers

Answer:

4, 5 is the point and I don't think there is a remainder

Step-by-step explanation:    

The remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.

What is a factor of a polynomial?

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given,  f(x) = 4x³ + 5 now dividing f(x) by x - 3 = 0 ⇒ x = 3 is the same as replacing x with 3 in f(x).

∴ f(3) = 4(3)³ + 5.

f(3) = 4(27) + 5.

f(3) = 108 + 5.

f(3) = 113.

So the remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.

learn more about factors here :

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I need help. Please anyone help :D

Answers

Answer:

I say 1. and 2

Step-by-step explanation:

Have a good day :3

What is the value of h(2)? -2 -1 0
3

Answers

Answer:

The answer is 0

Step-by-step explanation:

Or c on edge.

16c^2+ 18c+5
Factor Each Trinomial.

Answers

Answer:

(2c +1)(8c+5)

Step-by-step explanation:

I got my answer based off how i understood the problem.

WILL GIVE BRAINLIEST TO CORRECT ANSWER!!

Answers

Answer:

Intersecting: y = 8x + 10, y = -1/8x + 10 (f, g)

Parallel: x + y = 5, 7x + 7y = 14 (eq2, eq3); y = 2x + 8, -y = -2x + 6 (p, eq4)

Perpendicular: y = 8x + 10, y = -1/8x + 10 (q, r); 4x + 10y = 6, y = 5/2x + 7 (eq1, h).

None go under Same.

Step-by-step explanation:

In case you're confused:

The line labeled f goes with g. The line labeled q goes with r.

(f, g) is red.

(eq1, h) is orange.

(eq2, eq3) is yellow.

(p, eq4) is green.

(q, r) is blue.

All lines are in the attachment below.

1/6 x 8 + 2/3 x 9/8 =

Answers

Answer:

A

Step-by-step explanation:

do the multiplication first

Answer:

25 /12

Step-by-step explanation:

its the first one.

I did it on math_way

find the equation of the line. use exact numbers.

Answers

Your equation is y=-2x+5. First find the slope by plugging two points into the slope equation y2-y1 over x2-x1. This then gets you the slope of -2. Then find the point where x=0, which then gets you your y intercept or the b value in the equation. With the slope as m and y intercept as b, we can find that in the equation y=mx+b with the new values plugged in y=-2x+5.

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards, as shown in the diagram. What is the length of the diagonal, in yards, that Tanya runs?

Answers

Answer:

70 besarse you have to add

evaluate the expression x+4x-3+3x^2-2x when x = 5

Answers

Given:

The expression is

[tex]x+4x-3+3x^2-2x[/tex]

To find:

The value of given expression when x=5.

Solution:

We have,

[tex]x+4x-3+3x^2-2x[/tex]

Substituting x=5 in the above expression, we get

[tex]=(5)+4(5)-3+3(5)^2-2(5)[/tex]

[tex]=5+20-3+3(25)-10[/tex]

[tex]=5+20-3+75-10[/tex]

On further simplification, we get

[tex]=(5+20+75)+(-3-10)[/tex]

[tex]=100+(-13)[/tex]

[tex]=100-13[/tex]

[tex]=87[/tex]

Therefore, values of the given expression at x=5 is 87.

Write an expression of the perimeter of the rectangle.
help asap

Answers

25x-10+20

ur supposed to add all the like terms and so any number u see next to an “x” or an “x” (a variable by itself equals one) so 10x+6x+8x+x=25. then 4y+4y+y+y= 10. then the rest is self explanatory. I hope u get an A lol.

if you had a score of 60% how many marks out of 150 did he obtain

Answers

Answer:

90

Step-by-step explanation:

60/100=x/150

180/300=2x/300

2x=180

x=90

Answer:

90 marks

Step-by-step explanation:

10 % of 150 is 15

multiply that by 6

60% of 150 is 90

One batch of cookies requires two eggs and two and a half cups of flour. How many cups of flour are needed to make three and a half batches of Cooke's?

Answers

Answer:

7 1/2

Step-by-step explanation:

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