A ship is 7 ft from the dock. One sailor who is standing at the front of the boat 10 ft above dock level tosses rope to another sailor who is standing on the dock to tie the boat to the dock. How is the angle of elevation for the sailor standing on the dock related to the angle of depression for the sailor standing at the front of the boat?
Answer:
ım not speak english because i'm turkish
The angle of the depression is equal to the angle of elevation for the same place.
The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.
What is angle of elevation?The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.
What is angle of depression?The angle of depression is the angle between the horizontal line and the line of sight which is below the horizontal line.
Given information-
The distance between the ship and dock is 7 ft.
The one sailor is standing 10 ft above the dock level.
The another sailor is standing on the dock.
The angle of depression and elevation is shown in the image.
Here the angle made by the sailor who is 10 ft above from the dock level on the ship is,
[tex]\tan \theta=\dfrac{10}{7}[/tex]
Find the value of angle as,
[tex]\theta=\tan ^-(\dfrac{10}{7})\\\theta=55[/tex]
Hence the angle of depression is 55 degree.
As the angle of the depression is equal to the angle of depression for the same place.
Thus the angle of elevation is 55 degrees.
Hence, The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.
Learn more about the angle of depression here;
https://brainly.com/question/10217662
Helppp!
What is the solution to the equation 1x + 8 = 12?
x=1
x = 5
x= 16
x = 20
A bag contains 5 green marbles, 7 yellow marbles, 4 blue marbles, 6 pink marbles, and 3 purple marbles. If two marbles are chosen without replacement, find the probability of choosing a yellow marble, then another yellow marble. Give your answer as a fraction in simplest form.
Answer:
The probability of choosing a yellow marble then choosing another one without replacement is 1/30.
Step-by-step explanation:
First, get the total amount of marbles.
5 + 7 + 4 + 6 + 3 = 25 total marbles.
Now find the probability of finding a yellow marble.
P = 5 yellow marbles / 25 total marbles.
Now find the probability of finding a yellow marble after pulling one without replacement.
P = 4 yellow marbles / 24 total marbles.
To find the probability of both events happening, multiply the probabilities together.
(5/25) * (4/24)
Multiply the numerators and denominators.
20/600
Simplify.
1/30.
Dado que sen =9/10 y cos =8/10, encuentre los valores restantes de las cuatro funciones trigonométricas.
Answer:
tgα = 9/8
secα = 10/8
cscα = 10/9
ctgα = 8/9
Step-by-step explanation:
PAra resolver esto, es necesario conocer como se determinan las funciones trigonométricas en general. Ya tenemos el valor del seno y coseno de un angulo dado (supongamos un angulo α)
Si senα = 9/10 y cosα = 8/10, para calcular la tangente se aplica la siguiente expresión:
tgα = senα / cosα (1)
Reemplazando tenemos:
tgα = (9/10) / (8/10) Aqui se simplifican los 10, y nos queda
tgα = 9/8Nos quedan 3 funciones, y son las inversas de estas 3 funciones anteriores, y se determinan de la siguiente forma:
secα = 1 / cosα (2)
cscα = 1 / senα (3)
ctgα = 1 / tgα = cscα / secα (4)
Aplicando estas 3 expresiones tenemos:
secα = 1 / (8/10) Se aplica inversión de numerador y denominador
secα = 10/8cscα = 1 / (9/10)
cscα = 10/9ctgα = 1 / (9/8)
ctgα = 8/9Espero te sirva
Anwer this questions plz
Answer:
2
Step-by-step explanation:
brainliest blz
Answer:I believe the answer is 3 Hope this helps ^w^
Step-by-step explanation:
20/5 is 4 so 4 dollars per tank top and 35/5 is 7 so 7-4=3
2+2=?
i dont remember this, its too complex for me someone help asap
ahem ahem
2+2=69
it's 4 thanks for the points
what is the area of the unshaded path
Answer:
114 feet
Step-by-step explanation:
the black and white will both have the same area. and given that each path is 1 ft wide and initially 12 ft long we can slowly determine the area.
x times 1 will still equal x
12(1) still equals 12 so we can just write it as 12.
12+12+11+11+10+10+9+9+8+8+7+7= 114
where I came up with this? there are a total of 12 sides if you follow the black path. and by every 2 sides the path gets shorter by 1 foot.
the white side also has 12 sides if you look. therefore both the black and the white part of the shape will have an area of 114.
A bucket holds 243.5 oz of water. The bucket loses 0.5 oz of water per second. In how many seconds will the bucket be 40% full?
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:A..the diagonal bisect perpendicular one other.Since bisectors divide the diagonals equally in two parts.
.
Answer:
D
Step-by-step explanation:
I'm not smart :)
What is the probability of flipping a coin 85 times and getting tails 50 times or
fewer? Round your answer to the nearest tenth of a percent.
A. 33.2%
B. 0.4%
C. 95.9%
D. 99.8%
Answer:
C: 95.9%
Step-by-step explanation:
To find this, we shall be using the cumulative binomial probability calculator
As we know, the probability of getting a head or a tail in a throw of a coin is same with a value of 0.5
So, we want to find the probability of getting tails 50 times or fewer which means the probability of getting at most 50 tails
So we have the parameters as follows;
P( x ≤ 50)
n = number of trials = 85
p = probability of success = 0.5
r = number of success = 50
Using the parameters in the cumulative binomial probability calculator, we have the value as ;
0.9589 = 95.9%
Answer:
answering so the guy above gets brainliest
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2475 . What was the rate charged per hour by each mechanic if the sum of the two rates was $200 per hour?
Answer:
1st: 105/h
2nd: 95/h
Step-by-step explanation:
10A+15B=2475 (1)
A+B=200 |*10 => 10A+10B=2000 (2)
From (1) - (2), we have 5B=475, so B=95
then A+95=200 so A is 105
find the remainder when 1!+2!+3!+...+15! is divided by 15
Answer:
3Step-by-step explanation:
We know that
n! = 1*2*3*...*nWe also know that
15 = 3*5Since 5! = 1*2*3*4*5 is divisible by 15:
any n! with n ≥ 5 is divisible by 15.We need to find the remainder when 1! + 2! + 3! + 4! is divided by 15 as all the rest are divisible by 15.
The sum is:
1! + 2! + 3! + 4! = 1 + 2 + 6 + 24 = 33The remainder is:
33/15 = 2 rem 3As we see the remainder is 3
make the mathematical expression and simplify.3 times the difference of 17 and 7 is divided by 5
= 3(17-7)/5
=3(10)/5
=30/5
=6
"HOT PIZZA" is offering 20% discount on all its pizza
Ali bought a pizza for £5.60 what was the original price
Answer:
Original price was £7.00
Step-by-step explanation:
20% discount means that ali is paying 80% of the full price
.8p = 5.60
Divide both siides by .8
p = 7
Original price was £7.00
Use the Figure to find the measure of the angle. Explain your Reasoning.
Plz Help
Step-by-step explanation:
look at the picture i have sent
Kira tutors history. For each hour that she tutors, she earns 30 dollars. Her earnings, E (in dollars), after tutoring for h hours is given by the following.
E = 30h
How much does Kira earn if she tutors for 5 hours?
Answer:
E = 30h = 30(5) = 150 dollars
Step-by-step explanation:
....
Is it bad that I immediately thought Light Yagami?
Answer:
Kira earns 30×5:$150if she tutors for 5 hours.
HELP ASAP PLEASE 3 extra points if you get it right
Answer:
origin
Step-by-step explanation:
because the arrow is pointing at zero so it is the origin
The exponential function g, represented in the table, can be written as g(x) = a.6".
х
g(x)
0
8
1
10
Complete the equation for g(x).
Answer:
Is this the full question?
Find the vertex of the quadratic function. x²-36=f(x)
Help!!‼️‼️
How old am lif 500 reduced by 4 times my age is 256?
Answer:
Question 1172264: How old am I if 500 reduced by 4 times my age is 256? How old am I if 500 reduced by 4 times my age is 256? A is our age. 500 - 4A = 256.
Step-by-step explanation:
thank me later
real life example of plane in geometry
Answer: piece of paper or a door
Step-by-step explanation:
Dylan wants to buy both the tablet and
the camcorder. How much will he pay
if he buys them during the sale?
Answer:
108$
Step-by-step explanation:
Evaluate:
26 (2n + 5) = [?]
Can someone please help me ASAP !
Answer:
it's 823 problem solved
Please help!!! DUE SOON!!
YOU WILL GET 25 POINTS!
Answer:
9. 105
10. 50
11. 55
Step-by-step explanation:
9. 180-75=m<EFB
10. 90-40=m<EGB
11. 75+50+m<FBG=180
Let h = 3 What is the value of (27 = h)•5?
Answer:
Exact form
h=27/5
Decimal
h=5.4
Mixed
h=5 2/5
Answer:
27/5
Step-by-step explanation:
6. Alsoccer team played 18 matches during the season. The team earned 3 points for
win, I point for a draw and none for a loss. If the team drew 2 more games than
they won and earned a total of 46 points for the season, how many games did
they win?
Answer:6
Step-by-step explanation:
becuase they play more games
The area of a rectangle is 63 square inches. The length is 9 inches. What is the measure of its width? Which equation represents this problem? A = Lw
A) 8x = 6; x = 48 in.
B) 6x = 40; x = 4 in.
C) 48x = 48; x = 1 in.
D) 9x = 63; x = 7 in.
Which statement about 214° is correct?
O A. tan 214° < 0
O B. sin 214° < 0
O C. cos 214° > 0
Answer:
B.
Step-by-step explanation:
214 degree terminates in the 3rd quadrant.
Sine and cosines are both negative there.
This means that sin(214)<0 and cos(214)<0.
If sine and cosine are both negative and since tangent is the quotient of them, then tangent is positive, or tan(214)>0.
what is 1 1/4 x 2 1/4
Answer:
45/16
Step-by-step explanation:
1 1/4 x 2 1/4
5/4 x 9/4
45/16
PLEASEE HELP ME
A carton contains a dozen eggs, of which 3 contains no yolk. If 3 eggs are chosen at random for a cake, what is the probability that they all have no yolk?
Answer:
25%
Step-by-step explanation:
[tex]\frac{3}{12}[/tex] x 100 = 25%
A carton contains a dozen eggs, of which 3 contain no yolk. If 3 eggs are chosen then the probability that they all have no yolk is 3/12
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
A carton contains a dozen eggs, of which 3 contain no yolk. If 3 eggs are chosen at random for a cake.
one dozen eggs = 12 eggs
The probability that they all have no yolk = 3/12
Learn more about probability here;
https://brainly.com/question/11234923