Mathematics College

9. A person is sitting on a 30 foot pier overlooking the ocean. His eye level is 3 feet above the

pier. He sees a whole surface in the ocean. If the angle of depression of the whale is 20", how

far is the whale from his eyes?

Answers

Answer 1

Answer:

90.67feet

Step-by-step explanation:

Given that α = 20°

Tan α = opp/adj......... 1

Opp = 33feet

Adj = x

Substitute the values into equation 1

Tan 20° = 33feet/adj

0.36397 = 33/adj

0.36397×adj = 33

Adj = 33/0.36397

Adj = 90.666

Recall, adj = x = 90.666feet

x = 90.67feet

Hence, the whale is 90.67feet far from the eyes

9. A Person Is Sitting On A 30 Foot Pier Overlooking The Ocean. His Eye Level Is 3 Feet Above Thepier.

Related Questions

Simplify x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2.

Answers

Answer:

what do you mean

Step-by-step explanation:

Answer:

x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 = 9x+18

so there are 9 twos or 18 and 9x. No value is provided for x so the answer is 18+9x.

Step-by-step explanation:

Factor by grouping 8y3–4y2–14y+7

Answers

Answer:

[tex](2y - 1)( {4y}^{2} - 7)[/tex]

Step-by-step explanation:

1) Factor out common terms in the first two terms, then in the last two terms.

[tex] {4y}^{2} (2y - 1) - 7(2y - 1)[/tex]

2) Factor out the common term 2y - 1.

[tex](2y - 1)( {4y}^{2} - 7)[/tex]

Therefor the answer is, ( 2y - 1 ) ( 4y² - 7 ).

Answer:

[tex] \huge \boxed{ \boxed{ \red{ \sf (4 {y}^{ {2} } - 7)(2x - 1)}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:factoringPEMDASgiven:[tex] \sf 8 {y}^{3} - 4 {y}^{2} - 14y + 7[/tex]to do:factoringtips and formulas:

how to factor

factor out common constants and termsgrouplet's do:

[tex] step - 1 : define \\ \sf{8y}^{3} - {4y}^{2} - 14y + 7[/tex]

[tex] step - 2 : solve[/tex]

[tex] \sf factor \: - 7 \: and \: 4 {y}^{2} \: from \: the \: expression : \\ \sf 4 {y}^{ {2} } (2y -1 ) - 7(2y - 1)[/tex][tex] \sf \: group : \\ \sf (4 {y}^{ {2} } - 7)(2x - 1)[/tex]

If the simple interest on $2,000 for 3 years is $300 then what is the interest rate?

Answers

Answer:

100 dollars a year

Step-by-step explanation:

Which investment would make you the most interest? Explain.

A: $450 at 7% for 10 years

B: $1,300 at 5% for 6 years

Answers

B is the answer dear

HELLPPP NEED TO DO THIS BEFORE 7:00​

Answers

Answer:

7

Step-by-step explanation:

it's just 4 2/3 divided by 2/3, right?

A town doubles its size every 70 years. If the population is currently 3,000, what will the population be in 140 years?

Answers

Answer:

12000

Step-by-step explanation:

3000x2^(140/70)

12,000


3000*2= 6000
6000*2= 12,000

A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
What is the area of the resulting triangle?
Enter your answer in the box.

Answers

Answer:

900

Step-by-step explanation:

The area of the final triangle would be 900 cm².

What is scale factor?

Scale factor is used to compare the final and initial dimensions of the figure. Mathematically, we can write scale factor -

{K} = {final dimensions/initial dimensions}

Given is that a triangle has an area of 36 cm². The base and height are scaled by a factor of 5.

Assume the initial dimensions of the triangle be {x} and {y} respectively. So, we can write the initial area as -

{1/2}{x}{y} = 36

{x}{y} = 72

After the scaling, we can write the final area as -

A = {1/2}{5x}{5y}

A = {25/2}{x}{y}

A = 12.5 x 72

A = 900 cm²

Therefore, the area of the final triangle would be 900 cm².

To solve more questions on scale factor, visit the link below-

https://brainly.com/question/30948953

#SPJ2

Barbara needed 3 and 1/4 cups of flour for her recipe. If she measured 1/4 cup at a time, how many times did she have to fill the measuring cup?

Answers

Answer:

3/4

Step-by-step explanation:

find the equation of a straight line passing through the point (1,2) and making an intercept of 3 on the positive y-axis.​

Answers

Given: the points (1|2) and (0|3) lie on the line.

Question: equation of the line.

Solution:

General equation of a line: y = kx+d,

whereby:

the point (y|x) lies on the line
When x = 0, y = d
The point (0|3) says that d = 3.

So far, the equation is y = kx +3 ……… (1)

Inserting the point (1|2) into (1):

2 = k(1) + 3 => 2–3=k => -1 = k

Putting k into (1):

y = -1x + 3 => y = -x + 3 => y = 3 - x

Answer:

y = 3 - x

The graph of f(x) = |xl is transformed to g(x) = |x+1|- 7. On which interval is the function decreasing?
O (-infinite,-7)
0 (-infinite,-1)
0 (- infinite,1)
O (-infinite ,7)

Answers

Answer:c

Step-by-step explanation:

Here is some information about the goals scored in some hockey games.

I need to respond questions B and C

Answers

Answer:

c=10

Step-by-step explanation:

Question 11 (1 point)
Evaluate the function.
Given f(x) = x2 - 5x + 5, find f(3).

Answers

Answer:

f(3) =-1

Step-by-step explanation:

f(x) = x^2 - 5x + 5

Let x=3

f(3) = 3^2 -5(3) +5

      = 9 -15+5

      = -6+5

      =-1

f(3) = (3)2 - 5(3) + 5
f(3) = -4

A new section of the freeway will be 6 3/5 miles long. So far 1/6 of the new section has been completed. How many more miles must be built to complete the project?

Answers

Divide 1/16 by 3/5 and you get .104 we can check by multiplying our answer by 3/5 and we get 1/16

Need help on this please any one

Answers

if you use y=mx+b that should help you get it
Try the app Desmos. Basically a graph and you type t he equation in.

que es funcion.?????????¿​

Answers

Answer:

es cuando una cosa esta trabajando como una computadora cuando esta encendida esta funcionando


The difference of the squares of two positive consecutive even integers is 52. Find the integers. Use the fact that, if x represents an even integer, then x + 2 represents the next consecutive even integer

Answers

Answer:

12 and 14

Step-by-step explanation:

Let x represents an even integer. Another positive consecutive even integer will be (x+2).

According to question,

The difference of the squares of two positive consecutive even integers is 52 i.e.

[tex](x+2)^2-x^2=52\\\\x^2+4+4x-x^2=52\\\\4+4x=52\\\\4x=52-4\\\\4x=48\\\\x=12[/tex]

First integer = 12

Another integer = 12+2 = 14

If a 60-page magazine cost $1.20 to print, find the cost per page to print?  

Answers

Answer:

2 cents per page

Step-by-step explanation:

1.2/60 = 0.02 dollars

==> 2 cents



Write an equation that relates the number of peppers, n, and the

cost, C.

Answers

Complete Question:

The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the  cost, C.

Answer:

[tex]C = 0.45n[/tex]

Step-by-step explanation:

Given

[tex]5\ peppers = \$2.25[/tex]

Required

Determine the relationship between C and n

[tex]5\ peppers = \$2.25[/tex]

Divide both sides by 5, to get the cost of 1 pepper

[tex]\frac{5\ peppers}{5} = \frac{\$2.25}{5}[/tex]

[tex]1\ pepper = \frac{\$2.25}{5}[/tex]

[tex]1\ pepper = \$0.45[/tex]

Multiply both sides by n to get the cost of n pepper

[tex]n*1\ pepper = \$0.45*n[/tex]

[tex]n\ pepper = \$0.45n[/tex]

So, we have:

[tex]C = 0.45n[/tex]

y + 1 = -4(x + 1)
Graph the equation

Answers

Answer:

-4x-5

Step-by-step explanation:

sorry I can't get the graph

Answer:

Step-by-step explanation:

y = -4x-5

Suppose that 60% of students live in AnyTown. Find the probability that:
Round to three decimals.
A) Exactly 5 out of 10 randomly chosen students live in AnyTown
B) More than 5 students out of 10 live in AnyTown
C) The first AnyTown resident you find is the 5th person you ask

Answers

Answer:

Step-by-step explanation:

A.

5 chose 10 = 10*9*8*7*6/1/2/3/4/5 = 252

252 * (0.6)^5 * (0.4)^5 = 0.201

B.

6C10 * (0.6)^6 * (0.4)^4 + ... 10C10(0.6)^10 = 0.633

C.

(0.4)^4*0.6 = 0.015

How does 17- (-15) compare to 17-0

It is due there is 5 minutes please complete this. I will give brainlest, and extra points just complete this please

Answers

17-(-15)=32
17-0=0
They are not equivalent so they are different.
Also for future reference when you have 2 minus signs they equal a addition sign.
Hope this helps :) GL

A rectangle has a length 3 times the width. What is the perimeter in terms of x?

Answers

Answer:

Perimeter is equal to all four sides added together.

Length = 3W; L=3W

So

P = 2(W) + 2(L)  substitute the equation for length above you get

P = 2(W) + 2(3W)  and combine

P = 2W + 6W = 8W; put in what the perimeter is and solve for W

66 = 8W, so W = 8.25

W = 8.25, L = 24.75

GIVING BRAINLIEST AND EXTRA POINTS TO BEST EXPLAINED ANSWER EVER!

Answers

Answer:

3/16 of her garden are red roses

she was not correct, 2/4 is not equal to 3/16

Step-by-step explanation:

3/4 garden are roses

1/4 of those are red  (1/4 of 3/4)

3/4 (1/4) = 3/16 of her garden are red roses

Answer:

Yes she is correct because if you have the 3/4 u still have 1/4 un planted an then she adds the 1/4 an that would make it 2/4.

Step-by-step explanation:

hope this helps

PLZ HELP
x-5(x-1) = x- (2x-3)​

Answers

Answer:

Step-by-step explanation:

x-5(x-1) = x- (2x-3)​

x  + x *(-5) + (-1) * (-5) = x +  2x*(-1) + (-3)*(-1) {use distributive property}

x - 5x + 5 = x - 2x +3   {Combine like terms}

    -4x + 5 = - x +3           {Add 'x' to both sides}

-4x + 5 + x  = -x + x + 3

       -3x + 5 = 3           {subtract 5 from both sides}

            -3x = 3 - 5

            -3x = -2           {Divide both sides by (-3)}

              x = -2/-3

               x = 2/3

Solve −2x − 15 = 6x + 9. (1 point) Question 5 options: 1) 3 2) −3 3) −1 4) 6

Answers

Here are the steps I used to solve it

Answer:

2) x = -3

Step-by-step explanation:

Collect like terms, so gather all your x's on one side, and numbers in the other.  Add -6x and +15 to both sides, so you get -2x - 6x = +9 + 15, so we have -8x = 24, divide both sides by -8 you get x = -3.

Which point(s) on the diagram show(s) the solution(s) to the equation x = x2 - 2x - 8?
solution 1
solution 2

Answers

Answer:here is the answer on yt

Step-by-step explanation:

https://youtu.be/dQw4w9WgXcQ

a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form

Answers

Answer:

The perimeter of the garden, in meters, is [tex]24\sqrt{2}[/tex]

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that [tex]d = 12[/tex], side s. So

[tex]s^2 + s^2 = 12^2[/tex]

[tex]2s^2 = 144[/tex]

[tex]s^2 = \frac{144}{2}[/tex]

[tex]s^2 = 72[/tex]

[tex]s = \sqrt{72}[/tex]

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

[tex]72 = 2^{3}*3^{2}[/tex]

So, in simplest radical form:

[tex]s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}[/tex]

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

[tex]P = 4s[/tex]

In this question, since [tex]s = 6\sqrt{2}[/tex]

[tex]P = 4s = 4*6\sqrt{2} = 24\sqrt{2}[/tex]

The perimeter of the garden, in meters, is [tex]24\sqrt{2}[/tex]

a ant traveled 8 meters in 10 minutes. How many minutes did it take him to travel one meter?

Answers

Answer:

1 1/4 minutes of 75 seconds

Step-by-step explanation:

10/8 = 5/4 = 1 1/4

6. Y(3.5, 1), Z(-4, 2.5)
Please help

Answers

Answer:

Answer given below

Step-by-step explanation:

5. Root 104 = 10.1

10.1 x 0.5 = 5.05 miles

Rob is making a pizza the radius of the pizza is 21 inches what is the circumference of the pizza using 3.14 rounded to the nearest tenth

Answers

Answer:

131.9

Step-by-step explanation:

C = 2πr

using 3.14 for π, we get C = 2(3.14)(21)

C = 2(65.94)

C = 131.88 or about 131.9

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