Answer:
El marino se encuentra a 40 metros de la costa.
Step-by-step explanation:
Podemos ver la conjunción de la proyección de la sombra del marino con su altura como un triángulo rectángulo con:
b: base = cateto inferior = 2 m
h: altura = cateto superior = 1.80 m
θ₁: ángulo entre la hipotenusa y h (cateto inferior o base).
De este primer triángulo tenemos:
[tex] tan(\theta_{1}) = \frac{h}{b} = \frac{1.80 m}{2 m} = 0.9 [/tex] (1)
Ahora, dado que la proyección del marino se debe al faro, de la atura de éste junto con la distancia entre el marino y la costa tenemos:
x: distancia entre el marino y la costa = cateto inferior =?
H: altura del faro = cateto superior = 36 m
θ₂: ángulo entre la hipotenusa y "x" (base).
De este segundo triangulo tenemos:
[tex] tan(\theta_{2}) = \frac{H}{x} = \frac{36 m}{x} [/tex]
[tex]x = \frac{36 m}{tan(\theta_{2})}[/tex] (2)
Debido a que θ₁ = θ₂ (por ser los dos triangulos semejantes), entonces introduciendo la ecuación (1) en (2) tenemos:
[tex]x = \frac{36 m}{tan(\theta_{1})} = \frac{36 m}{0.9} = 40 m[/tex]
Por lo tanto, el marino se encuentra a 40 metros de la costa.
Espero que te sea de utilidad!
KONG
The population of Kingsfield grew from 5,400 people to
7,200 people in one year. During the same time, the
population of Queensville dropped from 24,000 people to
19,600 people. If these rates continue, how many years
before the two towns have the same population?
Answer:
The population of a town grew from 20,000 to 28,000. The continuous growth rate is 15%. The equation represents the situation, where t is the number of years the population has been growing. About how many years has the population of the town been growing? Use a calculator and round your answer to the nearest whole number.
I found some info on a Quiz maybe this can help a bit
Have a Nice Day!
Pleaseeeee helpppp xxx
Answer:
(-4, -2)
Step-by-step explanation:
(x, y)
You plug in the number where x is, so that’s going to be -4.
You plug in the number where y is, so that’s going to be -2.
I hope this helps some!
which is perpendicular to the line y=-3x-8y
Answer:
I believe the answer is y = -7/3x
Step-by-step explanation:
When you rearrange the equation, y = -3x - 8y, you will get -7y = -3x.
We want the equation to be equal to y by itself. So we divide -7 from both sides, giving us the equation y = 3/7x.
The graph that is perpendicular to y = 3/7x is it's reciprocal: y = -7/3x
Answer:
3
Step-by-step explanation:
Find the Slope of a Perpendicular Line
y = −3x − 8y
Rewrite in slope-intercept form.
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Move all terms containing y to the left side of the equation.
9y = −3x
Divide each term by 9 and simplify.
y = −(x/3)
Write in y = mx + b form.
y = -(1/3)x
Using the slope-intercept form, the slope is − (1/3)
m = -(1/3)
The equation of a perpendicular line to y = − (1/3)x must have a slope that is the negative reciprocal of the original slope.
[tex]m[/tex]perpendicular = [tex]-\frac{1}{-\frac{1}{3} }[/tex]
Simplify the result.
[tex]m[/tex]perpendicular = 3
write each number in standard form 6.7x10 to the 1 power
Step-by-step explanation: 6.7 x 10^1 = 67
The model below represents an equation.
2 long x tiles and 3 square 1 tiles = 3 long x tiles
Which represent like terms in the model of the equation?
2 long x tiles and 3 square 1 tiles
2 long x tiles and 3 long x tiles
3 long x tiles and 3 square 1 tiles
1 long x tile and 1 square 1 tile
Answer:
The answer is B
Step-by-step explanation:
If I got it right on edg, you'll get it right on edg, unless we are talking about two different questions--- which we are not. Same question, right answer.
Answer:
b
Step-by-step explanation:
bc i said
On the way back home, the Anderson family must stop at the gas station to fill up. What isthe total distance of their trip? Round your final answer to the nearest kilometer
Answer:
The total distance will remain unchanged as the gas station is on their way to home.
Step-by-step explanation:
The total distance of the trip will the distance between home to the destination and way back. If the Anderson family is stopped to fill gas in their car. The total distance of the trip is not affected by the stop in their route. If the gas station is located far from the route they follow then the distance will change.
305,000,000 in scientific notation
Move the decimal So that you have one number to the left of it. Count the number of spaces it was moved. Remove all trailing 0’s.
Multiply by 10 raised to the power of the number is spaces the decimal was moved.
3.05 x 10 ^8
what is 18 divided by y
Answer: 0
Step-by-step explanation:
Can someone give me the answers to this please I will give you brainlyest
(100 points)
Answer:
9-81881=992
Step-by-step explanation:
-10.2+c=-8.14
Helpppp
Answer:
c=18.34
Step-by-step explanation:
Guys plssssssss! I want to spend time today and tomorrow with my fam before they go back to Washington
Answer:
IF its a pretest the grade doesnt count im pretty sure.
Answer:
1. 15% of 48= 7.2
2. 25% of 80= 20
3. 135% of 70= 94.5
4. 7/10 of 100= 0.7
5. Solution for 36 is what percent of 50:
36: 50*100 =
(36*100): 50 =
3600: 50 = 72
6. Solution for 4 is what percent of 20:
4: 20*100 =
(4*100): 20 =
400: 20 = 20
7 30 is 50% of what number
50% is half of 100 so all you do is times the number by 2 which is 30 to get 60
8. 2 is 25 percent of what number?
again 25% you need to do 4 times 25 to get 100 so you do 12 x 4 and you get 48
9 its 800 so 75 again is 3 x 25 so you divide 600 by 3 and you get 200 so then to get 100 percent you do 4 x 200 and you get 800 so the awnser is 800
Step-by-step explanation:
solve -2y+6y-x-4=0 for y
Answer:
y = x/8 + 1/2
Step-by-step explanation:
Can I have brainliest?
Bradley completed 3/5 of his homework. What percent of his homework has he completed?
Answer:
60%
Step-by-step explanation:
3/5 of 100% is 60%
Answer:
60% is the answer
Solve for the missing distance 30m 39
Answer:
Pls evaluate the question more
Step-by-step explanation:
The sum of two numbers is 73. The difference of two numbers is 29. Find the two numbers.
Answer:
the answer is 35 and 38 because 35+38 is 73 and when u subtract 35 from 38, you get 3.
Step-by-step explanation:
10x + 4y = 20
13x - 4y = -66
If x = -2, what is the value of y?
Answer:
y = 10
Step-by-step explanation:
If x = -2
10x + 4y = 20
10(-2) + 4y=20
-20+4y=20
4y= 20+20
4y=40
y=10
If x=2 and y=10
13x - 4y = -66
13(-2) - 4(10) =-66
-26 -(-40) = 66 so it all checks out!!
A bird is flying at an elevation of 3 5/8 feet above sea level. A fish swims directly under the bird at a depth of 5 1/3 feet below sea level. How far apart are the two creatures?
Given :
Distance of bird from sea level, [tex]d_1 = 3\dfrac{5}{8} = \dfrac{29}{8}\ feet[/tex] .
Distance between fish and sea level, [tex]d_2=5\dfrac{1}{3}=\dfrac{16}{3}\ feet[/tex] .
To Find :
Distance between bird and fish.
Solution :
Distance between bird and fish is given by :
[tex]D=d_1+d_2\\\\D = \dfrac{29}{8}+\dfrac{16}{3}\\\\D=8.958\ feet[/tex]
Therefore, distance between bird and fish is 8.958 feet.
Hence, this is the required solution.
Find the slope of the line that passes through these two points.
(-2, 11) and (5, 6)
Answer:
-5/7
Step-by-step explanation:
(y2-y1)/(x2-x1) (6-11)/(5--2)
What is the measure of angle x?
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Angles.
Applying, angle sum Property of a triangle and linear pair, we get as,
180°-107 = 73°
, now angle sum property,
=> 31+73+p = 180
=> p = 180-104
=> p = 76°
here, angle p = angle x, they are vertically opposite angles, hence,
x = 76°
hence
The price of a gallon of unleaded gas was $2.87 yesterday. Today, the price fell to $2.80. Find the percentage decrease. Round your answer to the nearest tenth of a percent
please can someone express √5 as a fraction?
SInce this continued fraction does not terminate, we can tell that √5 cannot be represented as a terminating fraction - i.e. a rational number. So √5 is an irrational number a little smaller than 214=94 . For better rational approximations you can terminate the continued fraction after more terms.
hope this help!
What is the product of -8/9 x -6/7
Answer:
16/21
Step-by-step explanation:
In the first fraction, the negative numerator and negative denominator cancel each other.
In the second fraction, the negative numerator and negative denominator cancel each other.
The equivalent equation is
8/9×6/7=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
8×6/9×7=48/63
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 48 and 63 using
GCF(48,63) = 3
4/8÷43/63÷3=16/21
Therefore:
−8/9× −6/7=16/21
10x10= what
please answer i want to see if it works
Answer:
100
Step-by-step explanation:
10 x 10 = 100
Answer:
100 is the correct answer !!
Step-by-step explanation:
Lin rode her bike 3 miles in 10 minutes. She rode at a constant speed. How many minutes
did it take her to travel one mile?
Answer:
It would be about 3 minutes because if you take 10 and divide it by 3 it gives you 3.333333 and if you round that it would still be 3 or if you do it the other way around you would get .3 witch wouldnt be right so that should be your answer
Step-by-step explanation:
Can anyone help me pleasesss
Answer:
$7 per week
Step-by-step explanation:
39 - 37 = 7
1 - 0 = 1
7/1 = 7
Answer:
7
Step-by-step explanation:
39 - 32 (one week) = 7
53 - 39 (2 weeks) = 14, 14/2 = 7
pls help me sisters
Answer:
Look below
Step-by-step explanation:
0.25: Drag 1/4 and the square
0.6: Drag 60/100 and the rectangle
0.75: Drag 6/8 and the circle
Answer:
First Box: 0.75
Second Box: 0.25
Third Box: 0.75
4th Box: 0.25
5th Box: 0.6
6th Box: 0.6
36. Mrs. Moore bought one gallon of milk at
$3 per gallon, three loaves of bread at
$2 per loaf, one pound of cheese at $4 per
pound, and six cans of soup at two cans for
$3. What was the total cost of the food?
m/2+m evaluate if m 14
Answer:
21
Step-by-step explanation:
To add fractions find the LCD and then combine
My question is how do you write 2×10^-4 in standard form
Answer:
[tex]2*10^{-4}[/tex]
Step-by-step explanation:
Answer:
0.0002
Step-by-step explanation:
make p the subject of the formula q - p = 3p + 5
Answer:
p=- 5-q/4
Step-by-step explanation:
i hope this is the answer