a man is standing on top of a cliff, 80 high, the angle of depression to a boat is 60° . calculate the distance of the boat from the base of the cliff.​

Answers

Answer 1

Answer:

20 :3

Step-by-step explanation:

Da distance is 20

80 - 60 = 20 BOOM PEEPS


Related Questions

A girl and a puppy are 850 feet apart when they start running towards each other. The girl runs at a speed of 8 feet per second, and the puppy runs at a speed of 7 feet per second. How soon will they meet?

Answers

Answer:

time taken = 850/(8+7) =56.6 second

Answer:

The answer is: 56 2/3

Step-by-step explanation:

First add up the amount of feet they run all together every second. 8+7=15 feet/second. You have to find the total amount of seconds for them to meet so you divide. 850 divided 15 equals 56 2/3 seconds. That's your answer.


The figure below is an isosceles triangle. What is the perimeter of the triangle in terms of a
and c?

Answers

Hey there! I'm happy to help!

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WHAT IS THE PERIMETER?

The perimeter is just the distance around a shape. If you put a fence around a field, the length of all of the fencing is the perimeter.

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WHAT IS AN ISOSCELES TRIANGLE?

An isosceles triangle is a triangle that has at least two sides that have the same length! In our triangle, we have two sides that have the value of a, so that makes it isosceles!

-------------------------------------------------------------------

THE SOLUTION

In our problem, we want to find the perimeter of this triangle in terms of a and c. When we say in terms of, it just means that our answer will include a and c instead of finding a number value.

The perimeter is the sum of each of these sides. This means that the perimeter is a+a+c, which is also 2a+c.

Therefore, the perimeter of this isosceles triangle is 2a+c.

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I hope that this helps! Have a wonderful day! :D

What is the vertex of f(x)=x+8-3

Answers

Answer:

The absolute value vertex is  

( − 8 , − 3 ) .

Step-by-step explanation:

Help me please I think you have to find the area

Answers

Answer:

I got B) ; 54m2

Step-by-step explanation:

the above diagram is a trapezium.

the area is gotten by; 1/2 (a+b)h

a = shortest side.

b = the longer side that is directly opposite to (a).

h = height.

1/2(3 + 9)9

1/2 by 12 by 9

to get 54

In this equation what is the

Answers

Answer:

multiplication i think? correct me if im wrong:)

Step-by-step explanation:

bye.

The answer is [ C. Multiply ]

The inverse operation of division is multiplication and vice versa.

The inverse operation of subtraction is addition and vice versa.

Solve for x.

x/6.8 = 5

~Multiply 6.8 to both sides

x/6.8 * 6.8 = 5 * 6.8

~Simplify

x = 34

Best of Luck!

If the ratio StartFraction negative 294 Over x plus 10 EndFraction is equivalent to 21​, find the value of x. Use pencil and paper. Write another pair of equivalent ratios like these. Show how to find the value of x.

Answers

Answer:

(1)x=-24

(2)Another pair of equivalent ratio is:

[tex]\dfrac{-64}{x+5}=8$ where $x=-13[/tex]

Step-by-step explanation:

Given the ratio:

[tex]\dfrac{-294}{x+10}=21[/tex]

Part 1: We determine the value of x.

[tex]\dfrac{-294}{x+10}=21\\$Cross multiply$\\21(x+10)=-294\\21x+210=-294\\$Collect like terms$\\21x=-294-210\\21x=-504\\$Divide both sides by 21$\\x=-24[/tex]

Part 2: We write another pair of equivalent ratios.

Let

[tex]\dfrac{-64}{x+5}=8\\$Cross multiply$\\8(x+5)=-64\\8x+40=-64\\$Collect like terms$\\8x=-64-40\\8x=-104\\$Divide both sides by 8$\\x=-13[/tex]

Zachary and Heather are measuring the growth of a plant for a science experiment. They stopped recording the growth after week 6. Which of the following could be a reasonable estimate for the value of the plant height at week 10?

35 inches


47 inches


50 inches


43 inches

will mark brainliest

Answers

Answer:

43, it raises by 4 each time. good luck!

Step-by-step explanation:

What is the volume of a box with a height of 3/2 inches, a length of 7/2 inches, and a width of 5/2 inches.

Answers

Answer:

13.125 cubic inches

Step-by-step explanation:

Volume of box is 3/2 X 7/2 X 5/2 = 105/8 = 13 1/8 = 13.125 cubic inches  

Find the solution to the system of equations.
You can use the interactive graph below to find the solution
(–2x+2y =–4
( 3x + 3y = -18
X =
y=

Answers

Hope I helped you !

The radius of a circle is 5 m. Find its area in terms of .

Answers

Answer:

78.5 m²

Step-by-step explanation:

Area formula: πr²

Plug it in: (3.14)(5m)²

Answer: 78.5 m²

Which is a solution to (x − 2)(x + 10) = 13?

Answers

Answer:

3

Step-by-step explanation:

3-2=1

3+10=13

1x13=13

Alan has to carry 234 apples from a farm to the market How many baskets will he need, given that each basket can hold 31 apples

Answers

Answer:

8 baskets

Step-by-step explanation:

Answer:

8 baskets

Step-by-step explanation:

I believe is 8

What is the solution to the equation 3(2x + 5) = 3x + 4x?
a
X= 15
b.
X= 5
X=0
dx = 4

Answers

Answer: A

Step-by-step explanation:

Distribute the 3(2x+5) which gives you 6x+15. Than add 3x+4x which gives you 7x. Subtract the 6x giving you 15=x or 15=1x, divide the one to get the x alone and you get A.

The slope of a line is 2. The y-intercept of the line is -6 Which statements accurately describe how to graph the function?
Locate the ordered pair (0-6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line.
Draw a line through the two points.
Locate the ordered pair (0-6). From that point on the graph, move up 2left 1 to locate the next ordered pair on the line
Draw a line through the two points.
Locate the ordered pair (-60). From that point on the graph, move up 2, right 2 to locate the next ordered pair on the line.
Draw a line through the nivo points.
Locate the ordered pair (-60). From that point on the graph, move up 2. left 1 to locate the next ordered pair on the line.
Draw a line through the two points,
Mark this and retum
Save and Exit
Subemt

Answers

Answer: A

Step-by-step explanation:

We know the y intercept is -6 so the first point will be  (0,-6)   and we also know that the slope is  2/1  so after plotting (0.-6) you will have to go up by two and  1 unit to the right.  

Answer:

The answer is A!

Step-by-step explanation:

I just did it and it is right! Have an absolutaly amazing day! :) :) :) :)

P is a point on the terminal side of θ in standard position. Find the exact value of the six trigonometric functions for θ.
18. P(-3, 2)
19. P(4, -2)
20. P(0, -6)
21. P(-3, -4)

Answers

Answer:

  see below

Step-by-step explanation:

When you're doing a bunch of these, it is helpful to make a table with reminders as to how they're calculated. That table is shown below.

__

In the attached, we have used ...

  r² = x² +y²

  √20 = 2√5

  √36 = 6

  √25 = 5

and 1/(2√5) = √5/10. (The division is outside the radical.)

Factor the quadratic equation below to reveal the solutions. X^2+4x-21=-9

Answers

Answer:

-6 and 2

Step-by-step explanation:

Zech deposited $5,600 in an account, which compounded 1.9 percent quarterly, and left it there for 10 years. What was the amount in the account at the end of 10 years? Round to the nearest dollar.

Answers

Answer:

$6769

Step-by-step explanation:

To calculate the amount, we make use of the compound interest formula

A = P(1+r/n)^nt

where A is the amount which we are to calculate

P is the amount deposited which is $5,600

r is the rate which is 1.9% or 1.9/100 = 0.019

t is the number of years = 10

n is the number of times the interest is compounded per year which is 4(quarterly means every 3 months and there are 4 quarters in a year)

Plugging all these values, we have

A = 5,600(1+ 0.019/4)^40

A = 5,600( 1 + 0.00475)^40

A = 5,600(1.00475)^40

A = $6768.75

Which is $6769 to the nearest dollars

180/9 x 10^-5

IN SCIENTIFIC NOTATION

Answers

Answer:

2*10^-4

Step-by-step explanation:

Answer:

2.0x10^6

Step-by-step explanation:

First, let's change the number in the numerator into scientific notation.

180/ 9.0x 10^-5 = 1.80x10^2/ 9.0x10^-5

Start by collecting the significance and exponents.

1.80X10^2/ 9.0x10^-5 = 1.80/ 9.0x 10^2/10^-5

Then divide each term separately. When dividing exponents with the same base, subtract their power.

=0.20x10^2-(-5) =0.20x 10^7

To write the answer correctly in scientific notation, the first number needs to be between 1 and 10. In this case, we need to move the decimal one position to the right without changing the value of our answer.

We can use the fact that 0.20 is the same as 2.0/10, or 2.0x 10^-1

=2.0x10^-1x 10^7

=2.0x 10^-1+7

=2.0x 10^6

Amelia earns $32.00 per hour at her job. How much money will Amelia earn if she works for 6.5 hours?

Answers

Answer:

She would earn 208 dollars

Step-by-step explanation:

Answer:

She would earn $208

Step-by-step explanation:

if she gets $32 per hr then all u gotta do is multiply 32 nd 6.5

Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?

Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20

Answers

The total finance charge over the course of his loan is $2071.20.

It is required to find the total finance charge.

What is simple & compound interest?

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.

Given that:

Loan= $15,000

The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.

The sum of those 48 payments is ...

=48 × $23.71 =

 =$1138.08

That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.

so his total finance charge will be

= 15 × $138.08

= $2071.20

Therefore, the total finance charge over the course of his loan is $2071.20.

Learn more about simple & compound interest here:

https://brainly.com/question/16666364

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Answer:

D.

$2,071.20

Step-by-step explanation:

3) Factor x2 – 8x – 9.
Check

Answers

Answer:

(x-9)(x+1)

Step-by-step explanation:

factor using the box method or quadratic formula.

Answer:

(x - 9)(x + 1)

Step-by-step explanation:

Given

x² - 8x - 9

Consider the factors of the constant term (- 9) which sum to give the coefficient of the x- term (- 8)

The factors are - 9 and + 1, since

- 9 × 1 = - 9 and - 9 + 1 = - 8, thus

x² - 8x - 9 = (x - 9)(x + 1)

.- Alicia tiene una finca de 1 km2 de superficie. Dedica 28 hm2 a cultivar trigo, 3.900 dam2 a plantar olivos y el resto lo ha plantado de girasoles.¿ Cuántos metros cuadrados ocupan los girasoles?

Answers

Answer:

330 000 m²

Step-by-step explanation:

1. Area of farm

[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]

2. Area for wheat

[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]

3.Area for olive trees

[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]

4. Area for sunflowers

Total area                  =                          1 000 000 m²

- Area for wheat        = 280 000 m²

- Area for olive trees = 390 000                                  

                                                                 670 000      

Area for sunflowers =                              330 000 m²

Sunflowers occupy 330 000 m².

What is the value of the expression below ? 2[32-(4-1)]

There is a 3 in between the ) 3 ] but it looks like square / cubes something

Answers

The value of the expression [tex]2[32-(4-1)][/tex] is [tex]58[/tex] by simplifying.

Simplification

Simplification is the process of replacing a mathematical expression with an equivalent one, that is simpler and usually shorter.

How to simplify an algebraic expression?

Apply the BODMAS rule to simplify the algebraic expression.

Given that the expression is [tex]2[32-(4-1)][/tex]

First, simplify the bracket [tex](4-1)[/tex]

Then, [tex]2[32-(4-1)]=2[32-3][/tex]

Simplify the bracket [tex][32-3][/tex]

Then, [tex]2[32-3]=2[/tex] × [tex]29[/tex]

Multiply the numbers [tex]2[/tex] and [tex]29[/tex]

[tex]2[/tex] × [tex]29=58[/tex]

Hence, the expression [tex]2[32-(4-1)][/tex] is simplified to [tex]58[/tex].

Learn more about simplification here-https://brainly.com/question/17579585

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A circle has a diameter that measures
8 inches. What is the area of the circle to the nearest tenth? Use 3.14 for pi.

Answers

Answer:

50.24inches

Step-by-step explanation:

Your diameter is 8 inches so divide that by two to get a radius of 4 multiply 4 by itself and multiply that (16) by pi.(it gives you 50.24)

Cesar and Jocelyn are planning their trips to three countries next year. There are 7 countries they would like to visit. One trip will be one week long, another two days, and the other two weeks.

Answers

Answer:

They need five weeks to make all their travels.

Step-by-step explanation:

Given that Cesar and Jocelyn are planning their trips to three countries next year.

One trip will be one week long, another two days, and the other two weeks.

In conclusion, they need five weeks to make this travel.

How do you solve this question? With a step by step explanation please!

Answers

[tex]\frac{1}{4}x + 2 = -3 + \frac{1}{2} x[/tex]

First, we will take [tex]\frac{1}{4}[/tex]x to the right hand side of the equation, and -3 to the left hand side. In doing so, their signs will change (that is, they will be subtracted from the side that they are moved to).

2 -(-3) = [tex]\frac{1}{2} x - \frac{1}{4} x[/tex]

2 + 3 = [tex]\frac{1}{4}[/tex]x

[tex]\frac{1}{4} x = 5[/tex]

Now, we will multiply both sides by 4, so as to find x.

[tex]\frac{1}{4} x[/tex] x 4 = 5 x 4

x = 20

Therefore, x = 20.

Ellen is opening. Cookie shop eat a local middle school . She randomly surgery's students to determine The types of cookies they would buy at the cookie shop the results of the surveys are below

Answers

Answer:

The only statement that is NOT true is option A.

- If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.

Step-by-step explanation:

Complete Question

Ellen is opening. Cookie shop eat a local middle school . She randomly surgery’s students to determine The types of cookies they would buy at the cookie shop the results of the surveys are below based on the survey. Which statement is not true?

Cookie Survey

Type of Cookie | Number of Students

Chocolate Chip | 25

Oatmeal Raisins | 15

Peanut Butter | 22

Sugar | 18

A) If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.

B) 22½% of the students surveyed would buy a sugar cookie.

C) If 240 students were to purchase a cookie from the store, approximately 66 students will purchase a peanut butter cookie.

D) Half of the students prefer chocolate chips or oatmeal raisin cookies.

Solution

First of, we obtain the proportion or percentages of students surveyed that buy each type of cookie.

Each of that is the number of students that buy the type of cookie in the sample divided by the Total number of students sampled.

Total number of students sampled = 25 + 15 + 22 + 18 = 80

Type of Cookie | N | proportion | %

Chocolate Chip | 25 | 0.3125 | 31.25%

Oatmeal Raisins | 15 | 0.1875 | 18.75%

Peanut Butter | 22 | 0.2750 | 27.50%

Sugar | 18 | 0.2250 | 22.50%

Now, taking the statements one by one

A) If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.

Proportion of students that buy sugar cookie in the sample = 0.225

Number of students that will buy sugar cookie amongst 160 students = np = 160 × 0.225 = 36 students.

This statement is false, that is, NOT true.

B) 22½% of the students surveyed would buy a sugar cookie.

From the table, 22.5% of the students surveyed bought a sugar cookie. Hence, no matter the number of students, the percentage of students that will buy a sugar cookie will approximately be 22.5%.

This statement is True.

C) If 240 students were to purchase a cookie from the store, approximately 66 students will purchase a peanut butter cookie.

Proportion of students that buy peanut butter cookie in the sample = 0.275

Number of students that will buy peanut butter cookie amongst 240 students = np = 240 × 0.275 = 66 students.

This statement is true.

D) Half of the students prefer chocolate chips or oatmeal raisin cookies.

Proportion of students that buy chocolate chips or oatmeal raisin cookies in the sample = 0.3125 + 0.1875 = 0.50

0.50 is half of the distribution.

Hence, this statement too, is True.

Hope this Helps!!!

Helppppppppppppppppppppppp

Answers

Answer:

9

Explanation: the answer is 9 because 15 is 3 times 5 so you would have to multiply 3 by 3 to mark it to scale.

what can i multiple to get 44.89

Answers

Answer:

6.7 times 6.7

Step-by-step explanation:

The length between 20 and 29

Answers

The length between is the number 9 , just add 29 to 20 which is just 9 more numbers

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