Pleaseeeeeeeeeee help.
Remy stands on a dock at the edge of a lake represented by point C. Points A and B represent two buoys anchored in the lake. Remy plans to swim from C to A, then to B, and then back to C. The shortest distance from Remy to the swim route AB¯¯¯¯¯¯¯¯ is 60 meters and is measured from C to D.
Answers
Answer:
The total distance Remy will swim is approximately 236 meters
Step-by-step explanation:
From the given diagram, of triangle ΔCAB, we have that the path Remy is to swim are;
1) Length of segment C to A
2) Length of segment A to B
3) Length of segment B to C
The length of the perpendicular at point D on segment AB to C = 60 meters
Therefore, DC = 60 m
By trigonometric ratios, we have;
[tex]tan (\theta) = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]
[tex]cos(\theta) = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]
We are given the values of the trigonometric ratios of the following angles;
tan(27°) = 0.51
tan(43°) = 0.93
cos(27°) = 0.89
cos(43°) = 0.73
∴ tan(43°) = AD/DC = 0.93
Where the lengths of AC, AD, DB, DC and BC
AD = DC × tan(43°)
∴ AD = 60 × 0.93 ≈ 55.8
Similarly, we have;
tan(27°) = DB/DC
∴ DB = DC × tan(27°)
DB = 60 × 0.51 ≈ 30.6
From [tex]cos(\theta) = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex], we have;
cos(43°) = DC/AC
AC = DC/(cos(43°))
∴ AC = 60/0.73 ≈ 82.2
Similarly, we have;
cos(27°) = DC/BC
BC = DC/(cos(27°))
∴ BC = 60/0.89 ≈ 67.4
The total distance Remy will swim = AC + AD + DB + BC
∴ The total distance Remy will swim = 82.2 + 55.8 + 30.6 + 67.4 = 236
The total distance Remy will swim = 236 meters
Related Questions
riddle: A cowboy arrived to a town on Tuesday. He spent three days there then left on Tuesday. How? Also i need help simplifying 4y(3+2) + 6x
Answers
Answer:
Hey, Gmmm!
Step-by-step explanation:
1. The horses name was Tuesday
2. 20y+6x
Hope this helps!
Have a nice day♥
Answer:
Tuesday is his horse ; ) and the answer is 6x+20y
Step-by-step explanation:
the difference between y and 20
Answers
Answer:
y + 20
Step-by-step explanation:
The other numbers are N
N - y = 20
N = y + 20
OR
y - N = 20
N = y - 20
Which expression is equivalent to −36y−13?
A −12(3y−1)+1
B −12(3y+1)+1
C −12(3y+1)−1
D −12(3y−1)−1
Answers
work:
-12(3y+1)-1
distribute:
(-12)(3y)+(-12)(1)+ -1
-36y+ -12+ -1
combine like terms:
-36y+ -12+ -1
(-36y)+(-12+ -1)
= -36y-13
Simplify to a single power of 3
Answers
The given expression, 3⁶ × 3, written as a single power of 3 is 3⁷
Writing an expression as a single power of a baseFrom the question, we are to simplify the given expression to a single power of 3
From the given information,
The given expression is
3⁶ × 3
In order to write the expression as a single power of 3, let us revise some of the laws of indices
Multiplication law: mᵃ × mᵇ = mᵃ ⁺ ᵇDivision law: mᵃ ÷ mᵇ = mᵃ ⁻ ᵇZero power law: x⁰ = 1Now,
Applying the multiplication law of indices, the given expression
3⁶ × 3
can be written as
3⁶ ⁺ ¹
= 3⁷
Hence,
The expression written as a single power of 3 is 3⁷
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the value of f(4)
f(x)= (3x+2)/5
plz answer with working
ill give brainilest
Answers
Answer:
14/5
Step-by-step explanation:
Given data
We have the function
f(x)= (3x+2)/5
We want to find f(4)
Hence, let us place x= 4 in the function
f(4)= (3(4)+2)/5
f(4)= (12+2)/5
f(4)= (14)/5
f(4)=14/5
Hence f(4)= 14/5
which one should I choose
Answers
Answer:
Just choose the first one.
Answer:
FE
FG
AB
EG
AC
BC
step by step explanation:
A 90° angle is divided into 2 angles.
Find the size of the angles.
3x + 40
4x - 6
Diagram not drawn accurately
Answers
Answer:
this angle's sum is 90°
(3x+40)°+(4x-6)=90°
7x+34=90°
7x=90-34
7x=56
x=56/7
x=8
3x+40 = 3×8+40 = 64°
4x-6 = 4×8-6 = 26°
If d = the number of dogs, which variable expression represents the phrase
below?
the sum of the number of dogs and the 6 cats
O A. 046
O B. d+6
O C. d-6
O D. d.6
Answers
The number of dogs is a variable expression while the number of cats is a fixed expression
Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of this time period. ( Show each step of your calculation)
Answers
Answer:
4180 AED
Step-by-step explanation:
Given data
Principal= 4000
Time= 3 years
Rate= 1.5%
The compound interest expression is given as
A= P(1+r)^t
substitute
A=4000(1+0.015)^3
A= 4000(1.015)^3
A= 4000*1.045
A= 4180
Hence the worth will be 4180 AED
At the farmers market and the final buys two dozen oranges at $3.50 per dozen4 kg of apples at $3.25 per kilogram to kilograms of carrots at $1.90 per kilogram and 1 kg of potatoes for $1.20 he received a 5% discount off the total bill how much money did Nathaniel spend on fruits and vegetables at the farmers market
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Here's link to the answer:
tinyurl.com/wpazsebu
Select the correct answer.
Justine enrolls in a music program. The cost of the program includes a one-time registration fee of $45 and a fee of $9 per lesson. If the average
cost per music lesson is $12 and Justine has taken x classes, which equation represents this scenario?
OA. 12=59
OB
12 = 45+
OC.
45 +
OD
12=4795
12= 45578
Answers
Answer:
12 = 45 + 9/x
Step-by-step explanation:
Charli usa bots ][]][[]][[][][][][[][][]][]][][][][]]][
Answers
Answer:
I’m confused
Step-by-step explanation:
but ok?
What fraction, decimal and percentage of the diagram is shaded?
Answers
Answer:
where is the diagram????
please help fast will give brainliest
Answers
Answer:
c?
Step-by-step explanation:
lmk
Answer:
its A and D
Definition of Irrational Numbers : "An irrational number is simply the opposite of a rational number. (Recall that a rational number is one that can be represented as the ratio of two integers. See Rational number definition.) In all the above cases, the fraction will go on for ever with no discernible pattern"
Na casa de Isabel, a leitura do hidrômetro, feita no dia 20 de março, indicava 2431 metros cúbicos. Uma nova leitura, feita um mês depois, indicou 2 590 metros cúbicos. Quantos metros cúbicos de água Isabel e seus familiares consumiram nesse período?
Answers
Answer:
159 metros cúbicos
Step-by-step explanation:
Os metros cúbicos de água que Isabel e sua família consumiram durante este período são calculados como:
Nova leitura - primeira leitura
Primeira leitura = 2.431 metros cúbicos
Nova leitura = 2590 metros cúbicos
Conseqüentemente:
2.590 metros cúbicos - 2.431 metros cúbicos
= 159 metros cúbicos
simplify -2+3(1-4)-2
Answers
Step-by-step explanation:
-2+3-12-2
1+15=16 Answer
hope it helps
Answer:
-13
Step-by-step explanation:
-2+3(1-4)-2
-2+3(-3)-2
-2-9-2
-13
A regular size chocolate bar is 5 and 4/9 inches long. If the king size bar is 3 and 2/5 inches longer, what is the length of the king size bar?
Answers
Answer:
8 38/45 inches
Step-by-step explanation:
A regular size chocolate bar is 5 and 4/9 inches long. If the king size bar is 3 and 2/5 inches longer, what is the length of the king size bar?
Let us represent:
Length of regular size chocolate bar = x
Length of king size chocolate bar = y
A regular size chocolate bar is 5 and 4/9 inches long.
x = 5 4/9 inches
If the king size bar is 3 and 2/5 inches longer,
Hence:
y = x + 3 2/5 inches
The length of the king size bar is calculated as:
5 4/9 inches + 3 2/5 inches
(5 + 3) + ( 4/9 + 2/5)
Lowest common denominator = 45
8 + (20 + 18/45)
8 38/45 inches
Which expression has a value of 36 when x = 4 and y = 7?
A 12x − 2y
B 2xy
C 2x + 4y
D 6y − x
Answers
2(4)+4(7) = 36
2(4)=8
4(7)= 28
28+8=36
A scatter plot is shown:
what type of association does the graph show between x and y? (4 points)
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
Answers
Answer:
linear positive
Step-by-step explanation:
it's prolly too late but i need pts and someone to answer my ? so yea
Answer:
Step-by-step explanation:
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Find the slope of the line that contains (4, -10) and
(3,9).
Answers
Answer:
The slope of the line is -19. A line that will pass through that will be y=-19x+66. THE ANSWER YOU ARE LOOKING FOR IS THAT THE SLOPE IS -19
Step-by-step explanation:
m = (y2 - y1)/(x2 - x1) [Formula to find slope from two points]
m=(9-(-10))/(3-4) [Plugging the two points in]
m= -19 [Answer]
1. If the variables x and y are proportional and y = 4 when x = 20 then which of the following equations relates all values of x and y? (1) y = x+16 (3) y = 5x (2)y=-* (4) y=x-16
Answers
Answer:
4.) y=x-16
Step-by-step explanation:
Here,
y=4,
x=20
Now,
putting the value of x and y.
or, 4=20-16
or, 4+16=20
∴20=20
Find the surface area of a square pyramid with side length 3 cm and slant height 3 cm
Answers
Answer:
Step-by-step explanation:
base length b = 3 in
slant height L = 3 in
base area = b² = 3² = 9 in²
lateral area = 4·½bL = 4·½·3·3 = 18 in²
surface area = base area + lateral area = 27 in²
Marta bought a paperweight in the shape of a cone. The radius was 10 centimeters and the height was 9 centimeters. Find the volume. Round to the nearest tenth
Answers
Answer:
V≈942.48cm³
Step-by-step explanation:
hope this helps
Answer:942.48cm³
We are given the following in the question:
Dimensions of paperweight :
Radius, r = 10 cm
Height,h = 9 cm
Volume of paper weight = Volume of cone
where r is the radius and h is the height of the cone.
Putting values, we get,
Thus, the volume of the paper weight is 942.8 cubic cm.
Which of these is the algebraic expression for some number to the power of 4
Answers
Answer:
x^4
Step-by-step explanation:
no options, but pretty ez without it
x^4 (the up arrow means the number after is a power)
Answer:
you need to give us the question. please repost this question with the options
Step-by-step explanation:
Find a fraction that is equivalent to 1/3
Answers
Answer:
2/6 0.5/1.5 or 3/9
Step-by-step explanation:
bgxsrywgbywneuneynwtb
What are some exercises that help me reach my goal?Comment at least with 2 exercises
My goal: to run a full mile without having to stop at least 3 times.
Answers
Answer:
One thing you can do to reach this goal is to practice. If you practice every few days running so you can increase your endurance. During those you can right down how many times you have stopped as your running. This will help you get better and work up to your goal.
1. Write 7.1% as a decimal and a fraction in simplest form. *
1 point
A 0.71 and 71/100
B 0.071 and 71/100
C 0.71 and 71/1000
D 0.071 and 71/1000
Answers
Answer:
D
Step-by-step explanation:
Hope this helps you! c:
Answer:
D
Step-by-step explanation:
you move two decimal places to the left so
7.1% = 0.071
the 71 is in the thousandths place so it is 71/1000
Mr. Kramer's patio is in the shape of a trapezoid. The trapezoid and its dimensions are shown below. What is the area of the patio? A 144 square feet B 360 square feet C 315 square feet D 252 square feet
Answers
Answer:
C 315
Step-by-step explanation:
(12 + 30) * 15/2 = 315
The area of the trapezoidal patio is 252 ft².
What is a trapezoid?A trapezoid is a polygon that has only one pair of parallel sides. These parallel sides are also called parallel bases of trapezoid. The other two sides of trapezoids are non-parallel and called legs of trapezoids.
Given that, Mr. Kramer's patio is in the shape of a trapezoid, we need to find its area,
So, the area of the trapezoid is = sum of the parallel sides × height/2
= 12 + 30 × 12/2
= 42 × 6
= 252
Hence the area of the trapezoidal patio is 252 ft².
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Please help! Will mark brainliest
Answers
Answer: The answer would be 2!
Step-by-step explanation:
Hope this helps! Have a good day! :)
Answer:
10
Step-by-step explanation:
you need to group the number with letters at one side so it becomes 5x≤7+3 when 3 crosses th enequality sign it becomes positive so the answer is 5x≤10
Select all irrational numbers, o
Answers
Answer:
A & D
Step-by-step explanation:
took