Utilizando propiedades de triángulos rectángulos, veremos que la altura h es igual a 4.28m
Lo primero que debemos notar es que tenemos un triangulo rectángulo. En el podemos ver un ángulo de 55°.
El cateto adyacente tiene una longitud de 3m, y queremos obtener la longitud del cateto opuesto.
Podemos usar la relación trigonométrica:
Tan(θ) = (cateto opuesto)/(cateto adyacente)
Reemplazando los valores que conocemos, obtendremos:
Tan(55°) = h/3m
Tan(55°)*3m = h = 4.28m
La altura h del velero es 4.28m
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Find the equation of the line L.
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (8, 0) ← 2 points on the line
m = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = - [tex]\frac{1}{2}[/tex]
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = - [tex]\frac{1}{2}[/tex] x + 4 ← equation of line L
what is the lim of (8n)/((3n^2)+5)?
[tex]\lim \limits_{n \to \infty} ~\dfrac{8n}{3n^2 +5} \\\\\\=8\lim \limits_{n \to \infty} ~ \dfrac{\tfrac n{n^2}}{\tfrac{3n^2}{n^2} + \tfrac 5{n^2}}\\\\\\=8 \lim \limits_{n \to \infty} ~\dfrac{ \tfrac 1n}{ 3 + \tfrac 5{n^2}}}\\\\\\=8 \cdot \dfrac{ 0}{3 +0} = 8 \cdot 0 = 0[/tex]
We want to evaluate the limit of [tex]\frac{8n}{3n^{2}+5}[/tex] as n tends toward infinity (+∞)
The limit of this expression is the same as the limit of [tex]\frac{8n}{3n^{2}}[/tex]
But this last expression can be simplified, we can remove one n up and down which gives us : [tex]\frac{8}{3n}[/tex]
We know the limit of this one, it is simply Zero 0, by definition of the class lesson.
So to conclude the limit of [tex]\frac{8n}{3n^{2}+5}[/tex] as n tends toward infinity is 0.
Good Luck
What is the distance between points (8, 3) and (3, 1) on the coordinate plane?
14/15 + 8/15 + 4/5 please help
Answer:
[tex]=\frac{34}{15}[/tex]
[tex]=2\frac{4}{15}[/tex]
Step-by-step explanation:
With unlike denominators find the Least Common Denominator (LCD)
LCD = 15
Multiplying numerators and denominators to get the LCD in all fraction denominators
[tex]=\frac{14}{15} +\frac{8}{15} +\frac{4*3}{5*3}[/tex]
With like denominators we can operate on just the numerators
[tex]=\frac{14+8+12}{15}[/tex]
[tex]=\frac{34}{15}[/tex]
Simplifying the answer
[tex]=\frac{34}{15} \\=2\frac{4}{15}[/tex]
Which of the following statements is most correct? Select one:
a. Other things equal, the higher the dividends, the lower the stock price.
b. Other things equal, the investment holding period does not affect the stock price.
c. Other things equal, the higher the required rate of return, the higher the stock price. d. Other things equal, the higher the dividend growth rate, the lower the stock price.
e. Other things equal, the lower the market value of debt, the lower the value of equity.
Answer:a
Step-by-step explanation:
the answer is a because it is
Only answer this if you know the answer.
Find out the gradient of both blue lines
Answer
first line=4.1,10
second=6,10
Step-by-step explanation:
NO LINKS!!!
Complete the following problems to the best of your knowledge. Show all your work. Part 1
Step-by-step explanation:
#1a. -6, -9, 12
There is no sequence since the difference between the terms is not common and the ratio of the terms is not commonb. t(n) = 0.5 - 6
There is no sequence as all the terms are same regardless the value of nc. 32, 16, 8
The sequence is geometric as common ratio is 1/2, each next term is half the previous one#2a. 8, 16, 32, 64, ...
This is a geometric sequence as the common ratio is 2b. 1, 1, 2, 3, 5, 8, ...
This is neither one since no common difference or ratio between the consecutive termsc. 5, 5, 5, ...
This is neither one since common difference is zero or common ratio is 1d. -101, -99, -97, -95, ...
This is a arithmetic sequence since the common ratio is 2#3According to question the sequence is:
200000, 100000, 50000, ...We see each number is half the previous one so this is a GP with common ratio of 1/2
Your dinner bill is 93.24$
Answer:
yeah is that all?
Step-by-step explanation:
i feel like I'd understand if there was more to this
HELPPPPPPPP ASAPPPPPPPPPPPPPPP!!!!!!!!!!!!!!
Line /1 and line /2 are parallel line
Step-by-step explanation:
1=56⁰
2=56⁰
3=68⁰
4=68⁰
5=56⁰
6=112⁰
7=180-124 Ans=56⁰
8=68+56 Ans=124⁰
9=68⁰
10=112⁰
11=124⁰
12=56⁰
IT TOOK 15MINS mark me BRAINLIEST pls!plzz help asap plzzzzz
Answer:
5.45 then 6.454 then 5425 then 12825
Step-by-step explanation:
Pls,
Find the area of the
parallelogram below.
8 cm
12 cm
Answer: Area = 96 cm squared
Explanation;
base x height = area
Base = 12
Height = 8
12 x 8 = 96
Frank had 42 rocks that he wanted to share with his friends. If he gave each friend the same number of rocks(and kept the same number of rocks for himself), how many rocks did each person get ?
Answer:6. 42 split 7 ways is 6
Step-by-step explanation:
You buy a $266,000 home.with. a.down payment of 21%. Find the amount of the down payment and the mortgage amount.
down payment mortgage amount
A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A. What was the speed of the raft if the speed of the patrol-boat was 12 km/hour?
solve using a system of equations. will mark brainliest for correct answer and working
Answer:
2 6/7 km/hStep-by-step explanation:
t - time spent by boat, s - speed of the raft
time = distance / speed
Equations:
t = 20 / 12t + 5 h 20 m = 20 / sTime the patrol-boat spent:
t = 20/12 = 5/3 hTime the raft spent:
5 h 20 min + t = 5 1/3 + 5/3 =16/3 + 5/3 =21/3 =7 hoursThe speed of the raft:
7 = 20/ss = 20/7s = 2 6/7 km/hHow do I get a percentage of a number
Answer:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
Would appreciate the help
i dont know :))))))))))))))))))))))
Find the difference:
x+
x-1
-
- 8
x-1
O
9
x-1
2-7
X1
-7
1
2x+9
1
DONE
Answer: [tex]\frac{9}{x-1}[/tex]
Step-by-step explanation:
Since the denominators are the same, we can subtract the numerators.
[tex]\frac{x+1}{x-1}-\frac{x-8}{x-1}=\frac{(x+1)-(x-8)}{x-1}=\boxed{\frac{9}{x-1}}[/tex]
$112,500 is the price of 75 towels, how much does 1 cost?
Answer:
1500
Step-by-step explanation:
112500/75=answer
answer=1500
Answer: 1 towel cost 1,500
Step-by-step explanation: When you divide $112,500 by 75 you get 1,500.
Bab needs help with complex numbers
Review:
Match each decimal with its equivalent simplified fraction.
NOTE: Simplified fractions may be in the improper fraction format.
0.25
[Choose]
0.14
[Choose ]
1.4
[Choose ]
0.4
[Choose ]
0.375
[Choose ]
Answer:
0.25-1/4
0.14-7/50
1.4-7/5
0.4-2/5
0.375-3/8
Which equation represents a circle whose center is (3,-1) and whose radius is V6?
Step-by-step explanation:
(Pie)r^2 that is the area of a circle
Jorge wants to find the height of the house, help him find it.
Answer:
:)
Step-by-step explanation:
:)
determine x+3 is a factor of P(x)=-2x^3-4x^2-7
Answer:
p(0)= -7
Step-by-step explanation:
epic gamer question, i'll mark brainlist
Answer:
64 gametos 5354vf,ffekbvgvbvh
Help me with questions please
Answer:
44
Step-by-step explanation:
because you just 22 x 22 and you get 44
Answer:
1520.53mm^2
Step-by-step explanation:
A=πr2
Radius=22mm
A=π·22^2
=1520.53mm^2
Hope this helps :)
Convert 7% as decimal
7% as a decimal woul be 0.07
If you have any doubt leave a comment
Answer:
Your answer is 0.07.
7% = 0.07
4 - 4y + y - 3
7-5y+2+1
What are the like terms coefficients
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Question \#1}\downarrow\\\\\large\textsf{4 - 4y + y - 3}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-4y + y)+ (4 - 3)}\\\large\text{SOLVE IT!}\\\large\textsf{= -3y + 1}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{-3y + 1}}}\huge\checkmark[/tex]
[tex]\large\text{Question \#2}\downarrow\\\\\large\textsf{7 - 5y + 2 + 1}\\\large\text{COMPARE the LIKE TERMS}\\\large\textsf{= (-5y)+ (7 + 2 + 1)}\\\large\textsf{(-5y) + (9 + 1)}\\\large\textsf{= (-5y) + 10 }\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-5y + 10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the equation of the line that passes through (3,1) and is parallel to y=2x+1.
Leave your answer in the form y=mx+c
9514 1404 393
Answer:
y = 2x -5
Step-by-step explanation:
The parallel line will differ only in the value of c. That can be found using the given point.
y = mx +c
c = y -mx . . . . . . subtract mx to solve for c
c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)
The equation of the parallel line is ...
y = 2x -5
Joe cuts ten pizzas into quarters. How many pizza quarters are there in total?
Answer:
40 pizzas in total
Step-by-step explanation:
10×4=40