Answers
9514 1404 393
Answer:
17.8 km80.4 mStep-by-step explanation:
The first attachment shows the sort of geometry involved. The line of sight from the top of the lighthouse makes a tangent with the earth's surface at the horizon (neglecting optical effects due to the atmosphere).
The hypotenuse of the relevant triangle is (r+h), and the angle is adjacent to the radius, r. Then the cosine relation applies:
Cos = Adjacent/Hypotenuse
cos(α) = r/(r+h)
We note that the radius is in km, and the length h is given in meters, so we need to do a conversion to put the numbers in this formula. We don't care so much about the angle itself, but we need its value to find the length of the arc along the earth's surface. That is ...
s = r·α
so, the distance of interest is found from ...
cos(α) = 6367/(6367 +0.025)
r·α = 6367·arccos(6367/6367.025) ≈ 17.84 . . . km
The horizon is about 17.8 km from the observer.
__
The second problem requires we find the height value that makes the distance 32 km.
32 = r·α = 6367·arccos(6367/(6367 +h))
Dividing by the earth's radius and taking the cosine, we have ...
cos(32/6367) = 6367/(6367 +h)
h = 6367 -6367/cos(32/6367) ≈ 6367.0804 -6367 = 0.0804 . . . km
The cliffs must be about 80.4 meters high for it to be possible to see that distance.
Related Questions
*inhale* REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Solve the system of equations
help me show the steps
5x -2y = 88
3x+4y=58
Answers
Answer:
x=18
Step-by-step explanation:
add 2y to both sides 5x=2y+88
subtract 88 from both sides 2y=5x-88
substitute 2y in the second equation for 5x-88
3x+10x-176=58
add like terms 13x-176=58
add 176 both sides
13x=234
x=18
Answer:
( 18, -6.5 )
Step-by-step explanation:
First choose which method you plan on using: Substitution or Elimation. I chose elimination based off preference.
How to solve using Elimination:
5x -2y = 88 (multiply every number in this equation by two)
3x+4y=58
10x -4y = 176
3x+4y=58 (combine these two equations)
13x = 234 (isolate x by dividing by 13 on both sides)
x = 18 (this is your value for x)
3(18) +4y=58 (plug in for x)
54+4y=28 (solve)
4y = -26 (subtract 54 from both sides)
y = -6.5 (this is y)
write answer in (x, y) format
( 18, -6.5 )
Given that f(x)=3x2+2x-1 and h(x)=3x-5, find f(4)-h(5)
Answers
Answer:
45
Step-by-step explanation:
f(4) = 3(4²) + 2(4) -1
f(4) = 48+8-1 or 55
h(5) = 3(5)-5
h(5) = 10
55-10=45
What's 80% as a decimal?
Answers
Hope this helps!!!!
:):):)
:):);):)
Answer:
The ans is 0.8
Step-by-step explanation:
80% = 0.8 in decimal form.
Percent means 'per 100'. So, 80% means 80 per 100 or simply 80/100.
If you divide 80 by 100, you'll get 0.8 (a decimal number). Read more below on this webpage.
As you can see, to convert from percent to decimal just divide the percent value (80) by 100, and remove the "%" sign.
(hope this helps can i plz have brainlist :D hehe)
HELPPPPP
The function g(t) = -16t2 + vt + h represents the height of an object, g, in feet above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet.
A model rocket is launched off the ground at an initial velocity of 80 feet per second.
Write a function that can be used to describe the flight of the model rocket.
A. g(t) = -16t^2 + 80
B. g(t) = -16t^2 + 80t
C. g(t) = -16t^2 + t + 80
D. g(t) = -16t^2 + 80t + 80
Answers
Answer:
B. g(t) = -16t² + 80tStep-by-step explanation:
Given function:
g(t) = -16t² + vt + hA model rocket is launched off the ground at an initial velocity of 80 feet per second.
This gives us
h = 0 and v = 80The function becomes:
g(t) = -16t² + 80tCorrect option is B.
How do you write square root of -20 using the imaginary i
Answers
Answer:
Step-by-step explanation:
i² = (-1)
[tex]\sqrt{-20} =\sqrt{20i^{2}}\\\\=\sqrt{2*2*5*i^{2}}\\\\=2i\sqrt{5}[/tex]
expression equal to 0.30 examples
Answers
Answer:
0.3 ? I'm not sure sorry.
Solve the system of linear equations by elimination
x+2y=6
-x-3y=-7
Answers
1. put one equation on top of the other, and you are going to be adding the equations together
The x’s will eliminate when you add them, because -x+x=0
now you must add together the y’s, as well as the numbers on the other side of the equal sign.
3. solve for “y”
4. plug the y value you get into either of the original equations, “x+2y=6” or “-x-3y=-7”
It doesn’t matter which one you use!
1. Express 30 out of 40 and 40 out of 50 as a percentage. Which is
the better score?
Answers
Answer:
30 out of 40: 75%
40 out of 50: 80%
40 out of 50 is the better score
Starli makes bead bracelets. She has two bags of
beads. The first bag contains 11 gold, 10 silver,
and 9 brass beads. The second bag contains 7 red,
9 blue, 5 green, a 4 pink beads. What is the
probability that, nout looking, Starli will select
a silver bead from tne first bag and a blue bead
from the second bag?
Answers
Answer:
Could be because in the first bag there is 10 silver and 9 blue,and both have very close numbers.
Step-by-step explanation:
Im not 100% sure but both the blue and silver have almost the same amount of beads. so the probability could be 75%-90% posible.
:/ Again, Im not so sure about this.
A bag contains only red marbles and blue marbles in the ratio of 3 red to 2 blue.
If there are 24 red marbles, how many blue marbles are there?
Plz help me :)
Answers
Answer:
16
Step-by-step explanation:
create a t chart on one side put 3 and on the other put 2.
times 3 by 8 (you'll get 24) and then times 2 by 8 (you'll get 16.
Help!!! Please help me I need help on my homework!
Answers
Answer: First you have to figure out what the decimal is as a fraction, which is 3/50.
Step-by-step explanation:
You take 0.06 and you use a fraction calculator and you put in the decimal and hit enter. Your answer is 3/50
what is the area of the figure below
Answers
Answer:
390cm
Step-by-step explanation:
1. find area of rectangle
1. 15cm x 20cm= 300 cm
2. find area of triangle
1. 1/2 (12 x 15)= 90cm
300+90
3 (n - 4) = 36
please show work if you can
Answers
Answer:
n=16
Step-by-step explanation:
3 (n-4) = 36
3n -12=36
add twelve to both sides. because -12 + 12 is 0. and once you are at zero, you can cancel it out.
3n=48
divide by 3 on both sides
n=16
An online store charges a few of $4.50 for shipping. There is an additional charge of $0.50 for each pound the item weighs. How much does the store charge to ship a hammock that weighs 10.54 pounds?
Answers
Answer:
The store charges $9.77 to ship a hammock that weighs 10.54 pounds.
Step-by-step explanation:
4.50 (shipping cost)
0.50 (per 1 pound)
w = weight in pounds
w=10.54
4.50+0.50w= total cost
sub in 10.54 for w
remember order of operations (PEMDAS)
4.50 + 0.50 (10.54) = 4.50 + 5.27 = 9.77
The store charges $9.77 to ship a hammock that weighs 10.54 pounds.
How do you sovle 5x-4+7x=5(2x-4)
Answers
Answer:
x = -8
Step-by-step explanation:
5x - 4 + 7x = 5(2x - 4)
12x - 4 = 10x - 20
+20 +20
12x + 16 = 10x
-12x -12x
16 = -2x
divide by -2
x = -8
Answer:
x = -8
Step-by-step explanation:
5x - 4 + 7x = 5(2x - 4)
12x - 4 = 10x - 20
+20 +20
12x + 16 = 10x
-12x -12x
16 = -2x
divide by -2
x = -8
What is the solution to the system of equations? One-fourth x minus one-half y = 8 One-half x + three-fourths y = negative 5 (–8, –12) (–8, 12) (8, 12) (8, –12)
Answers
Answer:
Step-by-step explanation:
x/4-y/2=8, x-2y=32, x=32+2y
x/2+3y/4=-5, 2x+3y=-20, x=(-20-3y)/2
32+2y=(-20-3y)/2
64+4y=-20-3y
7y=-84
y=-12, since x=32+2y
x=32+2(-12), x=32-24=8
So the solution is the point (8, -12)
Answer:
its (8, -12)
Step-by-step explanation:
I did the test but if you need to show your work then im sorry lol i did it in my head
x = −3y + 17 2x − y = −1
Answers
Answer:
Step-by-step explanation:
wdqwdwq
Answer:
y = 5 and x = 2
Step-by-step explanation:
Since we have x = -3y + 17, we're going to substitute this equation into the x-value in the second equation.
2(-3y + 17) - y = -1
Multiply the 2 with the terms within the parentheses.
-6y + 34 - y = -1
Add the y values.
-7y + 34 = -1
Subtract 34 from both sides.
-7y = 35
Divide each side by -7.
y = 5
Now that we know the value of y, we can substitute 5 for the y-value in the first equation.
x = -3(5) + 17
Multiply.
x = -15 + 17
Add the two terms together.
x = 2
Hope this helped!
Kathleen correctly answers 85% of the total questions on a math question correctly answer 17 questions use proportions to find the total number of questions on Kathleen's math quiz
Answers
Answer:
I am don't know sorry
Step-by-step explanation:
sorry follow me
christina wants to buy a coach bag that normally costs $450. It goes on sale at a 15% discount. What is the amount of money being discounted off the original price?
Answers
Answer:
67.50
Step-by-step explanation:
100%-> 450
15%-> 67.50
HAAAAAAAAAAAAAAAALPPPPPPPPPPPPP
Answers
Answer:
its the last one
Step-by-step explanation:
first two are opinion and are not formal, and the third one is off topic
Answer:
C? if not im sorry
Step-by-step explanation:
For which function would f(3) = 17
A)f(x) = 3x+6
B)f(x) = 2(x + 4)+3
C) f(x) = 5x
Answers
A function is defined as a relation between a set of inputs having one output each.
The function that would give f(3) = 17 is
f(x) = 2 ( x + 4 ) + 3
What is a function?A function is defined as a relation between a set of inputs having one output each.
We have,
f(3) = 3x + 6
Substitute x = 3
f(3) = 3 x 3 + 6 = 9 + 6 = 15
f(x) = 2 ( x + 4 ) + 3
Substitute x = 3
f(3) = 2 ( 3 + 4 ) + 3 = 2 x 7 + 3 = 14 + 3 = 17
f(x) = 5x
Substitute x = 3
f(x) = 5 x 3 = 15
We see that f(x) = 2 ( x + 4 ) + 3 gives the 17 at x =3.
Thus the function that would give f(3) = 17 is
f(x) = 2 ( x + 4 ) + 3
Learn more about functions here:
https://brainly.com/question/26885907
#SPJ2
help me pls the photo attached is the question quick pls ill give brainliest answer
Answers
Answer:
12:18 and 20:30
Step-by-step explanation:
Answer:
12:18? n 20:30?
Step-by-step explanation:
sorry if im rong
Which of the following is equivalent to the expression 3(2x + 2)? Select all that apply.
DA. 3x + 6 + 3x
B. 6x + 1
OC. 6x + 6
Answers
3 times 2x equals 6x. 3x+3x equals 6x
3x2=6
2. 8 - 6x = 18x
I need help please
Answers
Answer:
x=3
Step-by-step explanation:
8-6x=18x
8-6x+6x=18x+6x
8=24x
x=3
Answer:
x=3
Step-by-step explanation:
First we have to get x by itself-
8-6x=18x If you add 6x to -6x it chancels out
+6x +6x
8=24x Now we have to divide by 8
/8 /8
x=3
PLEASE HELP ME ON MATH ASAP
Answers
Answer: the answer is 4
Step-by-step explanation: 3x4 is 12 so 12-(2+4)=6
plss help
why is 2/4 a rational number
Answers
Answer:beucase its 0.5 and it doesnt keep going like pie for its rational beucase it has a stop.
Step-by-step explanation:
Answer:
because its a fraction
Step-by-step explanation:
all fractions, decimals, and percentages that don't equal a whole number are rational.
Please help and quick thanks
Answers
Answer:
C. 2x^2 - 14x +7
Step-by-step explanation:
Here is a picture of the answer.
proportions in triangles
solve for x
Answers
Answer:
Step-by-step explanation:
x/15=6/12
x=15(6)/12
x=7.5
I need to solve for y??? Please help! Very much appreciated!!
Answers
Answer:
Step-by-step explanation:
Sin (48) = Y/7
7 sin (48) =y
7* (.743) = 5.2