From the top of a cliff, the angle of depression of a boat on the sea is 22°. If the height of the cliff above sea level is 40 m, calculate, correct to two significant figures, the horizontal distance of the boat from the bottom of the cliff.​

Answers

Answer 1

Answer:

= 25√3/3

Step-by-step explanation:

x/25 = tan 30o

x = 25/√3

= 25√3/3


Related Questions

-. The side views of two different ramps are shown below. Which is a true
tatement about the slope of the ramps?

Answers

The statement that is true about the slope of the ramps is: A. Slope of ramp A = slope of ramp B.

What is the Slope?

Slope = gradient = rise / run = vertical distance / horizontal distance.

Slope of the side view of ramp A = rise / run = 20 / 30 = 2/3.

Slope of  the side view of ramp B = rise / run = 14 / 21 = 2/3.

The slope of A = slope of B = 2/3

The statement that is true of the slopes of both ramps is therefore: A. Slope of ramp A = slope of ramp B.

Learn more about the slope on:

https://brainly.com/question/13861479

#SPJ1

Select all the correct answers. Which expressions are equivalent to the given expression? √40​

Answers

Answer:

2√10

Step-by-step explanation:

√40=√4 x 10

2√10

The New York Yankees are having a promotion. For the first 2500 fans to enter the stadium they will receive a signed baseball. The stadium holds 50086 people and was sold out for the game. What is the probability of receiving one of the signed baseballs?

Answers

Answer:

Step-by-step explanation:

Comment

(Fans who received a baseball) = 2500

Total number of seats in Yankee Stadium = 50086

P(those who got a baseball) = 2500 / 50086

Answer P(Those who got a baseball) = 0.04991 rounded.

Pls hurry need done soon no bots Find the area

Answers

Answer:

12

Step-by-step explanation:

Split into 2 shapes, the to find the area of the triangle you multiply base×height divided by 2.

4×3=12

12/2=6

after that find the area of the rectangle

2×3=6

add the area's together

6+6=12

can you please answer and explain this question​

Answers

Answer:

mean: 106900

median: 8500

mode: 7,000, 8,000, and 11,000

Step-by-step explanation:

To calculate mean, add them all together and divide the number of how many numbers it has. For median make out the sequence from small to large. For this one is 5,000, 7, 000, 7,000, 8,000, 8,000, 9,000, 10,000, 11,000, 11,000, 1,000,000. The middle is between 8,000 and 9,000 so find it's middle number. The mode is the number that appears the most. In this case 7,000, 8000, 11,000 all appeared twice so they are the mode.

In terms of the number of marked mountain goats, what is the relative frequency for male goats, female goats, adult goats, and baby goats? Write your answers as simplified fractions.


Elk Mountain Goat Deer Moose
Male 105 71 42 52
Female 120 93 63 34
Adult 173 103 72 58
Baby 52 61 33 28

Answers

Answer:

The answer is below.

Step-by-step explanation:

Elk: Total elk is 225

Males: [tex]\frac{105}{225}=\frac{7}{15}[/tex]Females: [tex]\frac{120}{225}=\frac{8}{15}[/tex]Adults: [tex]\frac{173}{225}[/tex]Baby: [tex]\frac{52}{225}[/tex]

Mountain Goat: Total Goat is 164

Males: [tex]\frac{71}{164}[/tex]Females: [tex]\frac{93}{164}[/tex]Adults: [tex]\frac{103}{164}[/tex]Baby: [tex]\frac{61}{164}[/tex]

Deer: Total Deer is 105

Males: [tex]\frac{42}{105}[/tex]Females: [tex]\frac{63}{105}[/tex]Adults: [tex]\frac{72}{105}[/tex]Baby: [tex]\frac{33}{105}[/tex]

Moose: Total Moose is 86

Males: [tex]\frac{52}{86}=\frac{26}{43}[/tex]Females: [tex]\frac{34}{86}=\frac{17}{43}[/tex]Adults: [tex]\frac{58}{86}=\frac{29}{43}[/tex]Baby: [tex]\frac{28}{86}=\frac{14}{43}[/tex]

Please help and thank you!

x=[?]

Answers

Answer:

10 = x

Step-by-step explanation:

I believe <B = <E.

<B = 50 = <E = 5x

50 = 5x

10 = x

DISCRETE MATH! ANSWER ALL

Answers

(a) f(0) in the given function in mod 5 is 2.

(b) f(1) in the given function in mod 5 is 2.

(c) f(2) in the given function in mod 5 is 3.

(d) f(3) in the given function in mod 5 is 1.

(e) f(4) in the given function in mod 5 is 2.

Value of the function in mod 5

The given function is defined as follows;

f(x) = (x³ + 4x + 2) mod 5

f(0) = (0 + 0 +2) = 2 in mod 5 (0 remainder 2) = 2

f(1) = (1 + 4 + 2) = 7 in mod 5  (1 remainder 2) = 2

f(2) = (2³ + 4(2) + 2) = 18 in mod 5 (3 remainder 3) = 3

f(3) = (3³ + 4(3) + 2) = 41 in mod 5 (8 remainder 1) = 1

f(4) = (4³ + 4(4) + 2) = 82 in mod 5 (16 remainder 2) = 2

Learn more about mod 5 here: https://brainly.com/question/2193228

#SPJ1

A normally distributed data set has a mean of 0 and a standard deviation of 2. Which of the following is closest to the percent of values between -4.0 and 2.0?

please help will give brainlist!!!

Answers

A normally distributed data set has a mean of 0 and a standard deviation of 2. The closest to the percent of values between -4.0 and 2.0 would be 84%.

What is the empirical rule?

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]

A normally distributed data set has a mean of 0 and a standard deviation of 2.

[tex]Z=(x-\mu)/\sigma[/tex]

[tex]P(x=-0.4)\\\\z=(-0.4-0)/2\\\\= -0.2\\\\P(x=2)\\z=(2-0)/2\\\\=1[/tex]

[tex]P(-0.4 < x < 2)=p(-0.2 < z < 1)=p(-0.2 < z < 0)+p(0 < z < 1)[/tex]……….(by symmetry)

=.49865+.3413

.83995…….(by (http://83995…….by) table value)

=.8400 × 100

=84%

Learn more about the empirical rule here:

brainly.com/question/13676793

#SPJ2

Decimal’s I can’t understand it

Answers

Answer:

In Mathematics, the numbers can be classified into different types, namely real numbers, natural numbers, whole numbers, rational numbers, and so on. Decimal numbers are among them

Types of Decimal Numbers

Decimal Numbers may be of different kinds, namely

Recurring Decimal Numbers (Repeating or Non-Terminating Decimals)

Example-

3.125125 (Finite)

3.121212121212….. (Infinite)

Non-Recurring Decimal Numbers (Non Repeating or Terminating Decimals):

Example:

3.2376 (Finite)

3.137654….(Infinite)

Decimal Fraction- It represents the fraction whose denominator in powers of ten.

Example:

81.75 = 8175/100

32.425 = 32425/1000

Converting the Decimal Number into Decimal Fraction:

For the decimal point place “1” in the denominator and remove the decimal point.

“1” is followed by a number of zeros equal to the number of digits following the decimal point.

For Example:

8 1 . 7 5

↓ ↓ ↓

1 0 0

81.75 = 8175/100

8 represents the power of 101 that is the tenths position.

1 represents the power of 100 that is the units position.

7 represents the power of 10-1 that is the one-tenths position.

5 represents the power of 10-2 that is the one-hundredths position.

So that is how each digit is represented by a particular power of 10 in the decimal number.

if f (1) =5 and f (n) = 5f (n-1) + 5 then find the value of f (3)

Answers

Using the given functions, the value of f(3) is 155

Determining the value of a function

From the question, we are to determine the value of f(3) using the given function.

The given function is

f(n) = 5f(n-1) + 5

To determine the value of f(3),

First, we will determine the value of f(2)

From the given function

f(n) = 5f(n-1) + 5

We can find f(2) as shown below

f(2) = 5f(2-1) + 5

f(2) = 5f(1) + 5

From the given information,

f(1) = 5

∴ f(2) = 5(5) + 5

f(2) = 25 + 5

f(2) = 30

Now, we can determine f(3)

Also, from the given function

f(n) = 5f(n-1) + 5

Then,

f(3) = 5f(3-1) + 5

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

Substituting the value of f(2) into the equation, we get

f(3) = 5(30) + 5

f(3) = 150 + 5

f(3) = 155

Hence, the value of f(3) is 155

Learn more on Determining the value of a function here: https://brainly.com/question/1252760

#SPJ1

Customers who join a store's rewards program are invited to spin a wheel and earn a prize. The wheel is divided into eight same-sized sections, and three of those sections represent winning a gift certificate. Assuming the wheel is fair, approximately how many gift certificates are likely to be won if 528 customers spin the wheel?

A. 198 gift certificates
B. 176 gift certificates
C. 144 gift certificates
D. 66 gift certificates.

Please show your work and tell me how you figured it out.

Answers

Answer:

A. 198 gift certificates.

Step-by-step explanation:

The probability of winning on a single spin = 3/8.

Number of expected winners

= 528 * 3/8

= 66 * 3

= 198.

‼️ See Picture ‼️Select the reason that best supports Statement 5 in the given proof.

Answers

The reason that best supports statement 5 is: B. multiplication property of equality.

What is the Multiplication Property of Equality?

When you multiply both sides of an equation by the same quantity, you have applied the multiplication property of equality.

In statement 5, both sides of the equation was multiplied by 2. Therefore, the best reason is: B. Multiplication Property of Equality.

Learn more about Multiplication Property of Equality on:

https://brainly.com/question/13260378

#SPJ1

...........................................................

Answers

Answer:

55

Step-by-step explanation:

From this data, how many male, female, adult, and baby mountain goats do you predict are in the park

Answers

Answer:

See below ~

Step-by-step explanation:

Part A

Male elk = 105/450 = 7/30Female elk = 120/450 = 4/15Adult elk = 173/450Baby elk = 52/450 = 26/225

Part B

Male elk = 7/30 = 0.233 = 23.3%Female elk = 4/15 = 0.267 = 26.7%Adult elk = 173/450 = 0.384 = 38.4%Baby elk = 26/225 = 0.116 = 11.6%

Please help me do this assignment

Answers

I hope this will help you a lot..

Answer:

(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).

Step-by-step explanation:

x⁶+3x⁴y⁴+xy⁶

1) df/dx=6x⁵+12x³y⁴+y⁶; d²f/dx²=30x⁴+36x²y⁴;

d²f/(dxdy)=48x³y³+6y⁵ (note, d²f/(dxdy)=d²f/(dydx) !!);

df/dy=12x⁴y³+6xy⁵; d²f/dy²=36x⁴y²+30xy⁴;

2) finally

(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).

PLS HELP ME ASAP I NEED HELP RN PLS WHOEVER ANSWERS IS THE BRAINLIEST
Madeline scored 75 and 80 on her first two exams. What score does she need to achieve on the third exam in order to earn an average of 85?

Answers

Answer:

100

Step-by-step explanation:

She wants to average 85, so adding ALL three of her scores, divided by 3 needs to equal 85.

(75 + 80 + x)/3 = 85

Times by 3.

75 + 80 + x = 255

155 + x = 255

subtract 155.

x = 100

She needs 100 on the third test.

Find the mean and standard deviation for the data set
{6, 8, 7, 5, 10, 6, 9, 8, 4}

Please SHOW steps for everything

Answers

Answer:

See below

Step-by-step explanation:

The mean is simply adding up each data value and dividing your result by the number of data values:

[tex]\text{Mean}=\frac{6+8+7+5+10+6+9+8+4}{9}=\frac{63}{9}=7[/tex]

The standard deviation is calculated through finding the sum of the squared differences between the mean and each data point, and dividing that result by the number of data values, which we then take the square root of:

[tex]\text{Standard Deviation}=\sqrt{\frac{(6-7)^2+(8-7)^2+(7-7)^3+(5-7)^2+(10-7)^2+(6-7)^2+(9-7)^2+(8-7)^2+(4-7)^2}{9}}=\sqrt{\frac{10}{3}}\approx1.8257[/tex]

What this value means is that each data point is spread about 1.8257 apart from the mean. Standard deviation describes how dispersed the data is in relation to the mean.

Help me please this is confusing

Answers

if i’m correct it should be C bc x would be 40 & so 40/8=5

Answer:

40/8

Step-by-step explanation:

last one i think

find the prime factorization of the following number 252?​

Answers

Answer:

2,3,7 are the prime factorization of number of 252

Hi Student!

Prime factorization is the process of stripping down a number to it's basic elements.  We take a number and bring it down the most we can.  For example we take 4 and make it 2 x 2.  In this case we are given a number of 252 so we can began by dividing by 2.

[tex]252 / 2[/tex]

[tex]126[/tex]

Looking at the numbers that we have now, 126 x 2, we can see that 126 can still be divisible by another 2 so lets do that again.

[tex]126 / 2[/tex]

[tex]63[/tex]

Now, looking at the numbers that we have, 63 x 2 x 2, we see that we can no longer divide it by a 2 because 63 is not divisible by 2.  However, we can divide 3 away from the number so lets do that.

[tex]63 / 3[/tex]

[tex]21[/tex]

Once again, looking at the numbers that we have, 21 x 3 x 2 x 2, we see that we can once again divide a 3 away from our first number so lets do that again.

[tex]21 / 3[/tex]

[tex]7[/tex]

Finally, we have come down to the last line where our final elements are 7 x 3 x 3 x 2 x 2.  This is our prime factorization of the number 252 and this is where we can conclude our solution seeking.

What is the domain of the function graphed below?
O X<7
O x<_7
O-2 O all real number

Answers

Answer: Choice A)   x < 7

Reason:

The domain is the set of allowed x inputs.

The graph shows an open hole at x = 7, meaning that 7 itself isn't part of the domain. But any value smaller than this will be part of the domain. So that's why we go for x < 7.

The value x = -1 is allowed since we have a closed endpoint for one of the pieces here.

The arrow pointing to the left indicates that piece goes on forever in that direction.

Answer:

x < 7

Step-by-step explanation:

The domain of the function is less than 7 as indicated by the open dot. (a closed dot indicates ≥ or ≤)

At x = -1, it is part of the domain because there is at least one closed dot indicating it is part of the domain.

The domain of the function is :

x < 7

A school nutritionist wanted to Determine which type of lunch was most popular to do this she kept track of the number of each top of lunch sold to the students in one day how many more burger lunches than chicken lunches for salt

Answers

A ratio shows us the number of times a number contains another number. The number of students the cafeteria should expect to buy chicken is 260.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

The ratio of the number of students to the number of total students can be written as,

Ratio = (Number of students)/(Number of total students)

Ratio = 52/(52+26+30+48+44) = 52/200

Now, the same ratio is applicable to 1000 students, therefore, the ratio will be,

Number of students who prefer burgers= 1000 × (52/200) = 260

Hence, the number of students the cafeteria should expect to buy chicken is 260.

Learn more about Ratios:

brainly.com/question/1504221

#SPJ1

The strip below is cut into 9 equal bars.
Shade 2/3 of this strip.

Answers

Answer:

Shade 6 bars.

Step-by-step explanation:

You are asked to shade 2/3 of the strip. It is given that the strip has 9 equal parts. Multiply the number and fraction together:

[tex]9 * \frac{2}{3} = \frac{9}{1} * \frac{2}{3} = \frac{9 * 2}{1 * 3} = \frac{18}{3} = 6[/tex]

You will shade 6 of the 9 bars given.

~


If you know that a student receives financial aid,
what is the probability that the student is a
graduate student?

Answers

Answer: Answer:

The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:

6101 = 100

1879 = X

1879 x 100/6101 = X

187,900 / 6101 = X

30,798 = X

Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

Question 10 of 10
In order to solve the following system of equations by subtraction, which of
the following could you do before subtracting the equations so that one
variable will be eliminated when you subtract them?
4x - 2y=7
3x - 3y=15
A. Multiply the top equation by 15 and the bottom equation by 7.
B. Multiply the top equation by-3 and the bottom equation by 2.
O C. Multiply the top equation by 3 and the bottom equation by 4.

Can someone help me

Answers

Answer:

B. Multiply the top equation by-3 and the bottom equation by 2.

Step-by-step explanation:

-3(4x-2y=7)

2(3x-3y=15)

-12x + 6y= -21

6x  - 6y = 30                  

6y and -6y both cancel each other out which gives us 0 when -3 is multiplied by the top and the bottom is multiplied by 2, which gives us the answer B.

What number (X) comes next in the series (17, 9, 18, 7, 19, 5, 20, X)

Answers

Answer:

x = 3

Step-by-step explanation:

The pattern is that every other number increases by 1, while the next decreases by 2

1. 17,18,19,20

2. 9,7,5,x

5-2 =3

3 is the answer.

Solutions:

Odd Terms: 17, 18, 19, 20

Find the common difference.

d = a₂ - a₁

d = 18 - 17

d = 1

Thus, for every odd term, the next terms are derived by adding 1.

Even Terms: 9, 7, 5, x

Find the common difference.

d = a₂ - a₁

d= 7 - 9

d = -2

Find x.

x = 5 + d

x = 5 + (-2)

x = 5 - 2

x = 3

Therefore, x = 3.

What is a  sequence?

In an arithmetic sequence, a term is obtained by adding a constant number to the preceding term. A sequence whose succeeding terms are obtained by adding a constant. Constant is called the common difference. Formula is a_n = a₁ + d(n - 1). The common difference is obtained by subtracting the first term from the second term.  

Learn more about sequences are:https://brainly.com/question/6561461

#SPJ2

Your supposed to try and find X. I got 20 with trial and error and it fits but I’m not sure if that’s the right answer or how to get it

Answers

Answer:

  x = 20

Step-by-step explanation:

The problem tells you the relationship between time, distance, and speed. Use the given relations to find the total journey time.

__

equation

  total time = Journey A time + Journey B time

  total time = (distance A)/(speed A) + (distance B)/(speed B)

  total time = 15/x +6/(x+4) = 1 . . . . . using the given values

solution

Multiplying by x(x+4) we have ...

  15(x +4) +6(x) = (x)(x +4)

  21x +60 = x² +4x

  x² -17x -60 = 0 . . . . . rearrange to standard form

  (x -20)(x +3) = 0 . . . . factor the equation

  x = 20  or  x = -3 . . . values of x that satisfy the equation

We know the speed must be positive, so x = -3 is an extraneous solution.

The value of x is 20 (km/h).

Help me please attachment: one image

Answers

Answer:

120 degrees.

Step-by-step explanation:

360 * 1/3 = 120

6) In a shipment of 150 televisions, 11 are defective. If a person buys three televisions from that
shipment, what is the probability that they are all defective?

Answers

Answer:

0.03%

Step-by-step explanation:

[tex]\frac{11}{150}(\frac{10}{149})(\frac{9}{148})[/tex]

≈ 0.03%

pls someone help, my he is due by tonight

Answers

Answer:

I hope it helps................

Other Questions
if 2x 2x =64 find the value if x with steps pls What is the measurement at plot a? need to paint an entire cylindrical tank (all sides) it is 29ft long and 9ft diameter find the total surface area. 1-4) Choose Yes or No to tell if the fraction 3/4 will make each equation true. (You are putting the 3/4 in each blank and multiplying to see if it will give you the product given.) When the football coach told the players that they had better start working harder during practice or they would be dropped from the team, he appeared to be using a(n) _____ coping strategy called "_____."Question 4 options:emotion-focused; confrontive copingproblem-focused; planful problem solvingemotion-focused; distancingproblem-focused; confrontive coping Which is the slope of the line that passes through the points (-3, 1) and (4, -2)? What was Cassie willing to do to Lillian Jean if Lillian Jean didnt apologize? t write three interview questions you might ask the writers of the Kansas bill of rights for each question write why you have included it Roads in urban areas are generally A recipe for bread uses 5 cups of white flour and 3 cupsof wheat flour. How many more cups of white flour thanwheat flour are used in the recipe? Write an equation andcomplete the bar diagram to solve. many marine organisms depend on upwelling to bring nutrients to surface. how might El Nino affect a fisherman's way of life what is verb of mirth PLEASE HELPPP!!!!Which of the following is the best buy?3 lb. for $5.132 lb. for $3.373.25 lb. for $5.531.5 lb. for $2.52 A spinner is divided into 15 identical sectors and labeled 1 through 15.How many spins are expected for a multiple of 4 to be spun 30 times?Select from the drop-down menu to correctly complete the sentenceThe spinner is expected to have to spin approximately Choose times for a multiple of 4 to be spun 30 times. A. 113 B. 120 C. 150D. 225 Nitrogen gas was collected by water displacement. What was pressure of the N, collected if the temperature was 22 C? Find the slope between the two given points:5. (3,4) and (6,7) 6. (-2,-6) and (-1,-4)Please show Work Due Tommorow!!!! I will give brainiest if it's right A can of soda gets left in the car on a hot summer day. When the can was placed in the car it had an internal temperature of 10 and pressure of 2.07 atm. If the can heats up to 47.6 what will the pressure inside the can be? Remember to convert to Kelvin! (Report your answers to 2 decimal places) Unguarded live parts operating at 30,000 volts located above a working space must be elevated at least _____ above the working space. please help me with history ill give you brainlist A builder uses parallelogram-shaped stones as decoration around a buildings windows. The stones come in many different sizes. Each stone has a base length of x inches and a height of (3x 5) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a length of 6 inches.