The graph shows f(x)and its transformation(x).
Enter the equation for g(x) in the box.
g(x) =
Answers
Using translation concepts, the equation for function g(x) given in the graph is:
[tex]g(x) = 2^{x + 2}[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent function for this problem is given as follows:
[tex]f(x) = 2^x[/tex]
From the graph, function g(x) was shifted 2 units left, hence x -> x + 2 and the definition is:
[tex]g(x) = 2^{x + 2}[/tex]
More can be learned about translation concepts at https://brainly.com/question/28098112
#SPJ1
Related Questions
A certain skincare company's profit in millions of dollars, P(t), can be modeled by the polynomial function P(t) = –2t3 + 8t2 + 2t, where t represents the number of skincare items produced, in thousands. Today, the company produces 4 thousand products for a profit of $8 million. According to the graph of the function, what other quantity of product would result in the same profit?
1 thousand
2 thousand
3 thousand
5 thousand
Answers
The quantity of product that would result in the same profit is 1 thousand. Option A
How to determine the function
Given the polynomial function as;
P(t) = –2t³ + 8t² + 2t
Where;
P(t) is the company's profit = $8 milliont is the number of skincare profitLet's equate the values
–2t³ + 8t² + 2t = 8
–2t³ + 8t² + 2t - 8 = 0
Factorize the expression
(-2t³ + 8t²) + ( 2t -8) = 0
- t² ( 2t - 8) + (2t -8) = 0
We take the similar factor
2t - 8 = 0
2t = 8
t = 8/2
t = 4
But we have that the company produced 4 thousand products for $8 million profit, so we have
= 4/ 4
= 1 thousand
Thus, the quantity of product that would result in the same profit is 1 thousand. Option A
Learn more about polynomial function here:
https://brainly.com/question/7693326
#SPJ1
For Exercises 11–16, use inductive reasoning to draw the next shape in each
picture pattern.
Answers
The ways to illustrate the shapes are given.
How to depict the shape?11. In each new figure, one vertex is introduced, and each vertex is joined to each other vertex.
12. In each new figure, 2 rows and 1 column are introduced, and the shading at the corner moves 90 degrees clockwise.
13. In each new figure, one row and one column are introduced, and exactly half of the rectangles are shaded.
14. In each new figure, except at the bottom vertex, two perpendicular lines are introduced at the remaining vertices.
15. In each new figure, one inverted white triangle is inscribed in the orange triangle.
16. The number of squares increases in the pattern. There are blue circles inscribed in one diagonal square and there are yellow circles inscribed in the remaining squares. Also, the blue circles in the diagonal alternate.
Learn more about shapes on:
https://brainly.com/question/25965491
#SPJ1
n an element’s square on the periodic table, the number with the greatest numerical value represents the
Answers
A student is taking an exam with 40 questions on it.To pass the exam she needs to answer 70% of the questions correctly. Unfortunately she answered only 40% of the 15 questions correctly. What percent of the remaining 25 questions does she have to answer correctly to pass the exam?
Answers
The first step is to find out how question in total she is able to miss, while still passing.
We know that there are [tex]40\\[/tex] questions on the test and she must get [tex]70[/tex]% of the questions correct.
Let's calculate how many questions that is:
40 x 0.70
= 28.
Subtract
40 - 28
= 12.
She is able to get 12 answers incorrect.
Now we must find out how many questions she got wrong when she got 40% of the first 15 correct.
If she got 40% correct; She got 60% incorrect.
Let's do the math:
Multiply:
15 x 0.40
= 6
Subtract:
15 - 6
= 9
This means that she got 6 questions correct, and 9 questions incorrect.
With the total allotment of 12 incorrect answers allowed, she can only get 3 more questions wrong.
Now we must find the percentage of the remaining 25 questions she can get wrong.
She can only get 3 wrong and she must get 22 correct.
Multiply:
22 x 4
= 88.
This means that she has to get 88% of the remaining 25 questions correct.
a green grocer has 180 mangoes to sell. she has to arrange them in piles of 9,10,and 12 mangoes. in which ways would she arrangfe them without a reminder?
Answers
It is possible to arrange the total of mangoes by using 20 piles of 9 mangoes, 18 piles of 10 mangoes, or 15 piles of 12 mangoes.
What are the different ways the mangoes can be arranged?The conditions for mangoes to be arranged are that the piles should have either 9, 10 or 12 mangoes and reminders are not allowed. This means you need to fit all the mangoes and no mangoes can be left.
Based on the conditions and the total number of mangoes (180 mangoes), here are the possibilities that you can determine using division:
9 mangoes piles: 180/ 9 = 20 piles (9 x 20 = 180 with no remainders)10 mangoes piles: 180/10 = 18 piles (10 x 18 = 180 with no remainders)12 mangoes piles: 180/12 = 15 piles (12 x 15 = 180 with no remainders)Learn more about division in https://brainly.com/question/369266
#SPJ1
cual es el coeficiente de variacion de los resultados de 30,60,90,45?
Answers
based on the given results, the coefficient of variation can be found to be 45.54.
what is the coefficient of variation?first, find the mean:
= (30 + 60 + 90 + 45) / 4
= 56.25
find the standard deviation using a spreadsheet:
= 25.61737691
the coefficient of variation is therefore:
= standard deviation / mean x 100
= 25.61737691 / 56.25 x 100
= 45.54
find out more on the coefficient of variation at https://brainly.com/question/13293164.
#SPJ1
The exchange rate in some prehistoric village was 6 jagged rocks for every 2 smooth pebbles. Also, one shiny rock could be traded for 3 smooth pebbles. If Joaquin has 30 jagged rocks, what is the maximum number of shiny rocks he could trade for?
A. 6
B. 4
C. 5
D. 3
Answers
30 Jagged rocks are the same 3 shiny rocks using the exchange rates provided(i.e. option D)
What is an exchange rate?
Exchange rate means the rate at which one item exchanges hands with another, for instance, in this case, 6 jagged rocks are equivalent to 2 smooth pebbles.
6 jagged rocks=2 smooth pebbles
divide both sides by 2
6/2 jagged rocks=2/2 smooth pebbles
3 jagged rocks=1 smooth pebble
We can rewrite as below:
1 jagged rock=1/3 smooth pebble
30jagged rocks=1/3*30 smooth pebbles
30 jagged rocks=10 smooth pebbles
Now we need to convert 10 smooth pebbles to shiny rock equivalence
3 smooth pebbles=1 shiny rock
1 smooth pebble=1/3 shiny rock
10 smooth pebbles=1/3*10 shiny rocks
10 smooth pebbles=3 shiny rocks( even though it is 3.33, but the final answer should be rounded to a whole number)
Read more about exchange rate in the link below:
https://brainly.com/question/2202418
#SPJ1
Need help on these trig homework
Answers
8. The length of the support is 7. 9 m
9. The length of the conveyer is 12m
3. a = 59m
A = 44°
B = 52°
4. c = 88. 6 mm
b = 49. 1 m
B = 34°
How to solve the trigonometry
8. We have the angle to be 20 degrees
Opposite side = x
hypotenuse = 23m
Using the sine ratio
sin θ = opposite/ hypotenuse
[tex]sin 20 = \frac{x}{23}[/tex]
Cross multiply
[tex]sin 20[/tex] × [tex]23 = x[/tex]
[tex]x = 0. 3420[/tex] × [tex]23[/tex]
x = 7. 9 m
The length of the support is 7. 9 m
9. The angle of elevation is 37. 3 degrees
Hypotenuse = 19 . 0m
Opposite = x
Using the sine ratio
sin θ = opposite/ hypotenuse
[tex]sin 37. 3 = \frac{x}{19}[/tex]
cross multiply
[tex]x = 0. 6059[/tex] × [tex]19[/tex]
x = 11.5
x = 12 m in 2 significant figures
The length of the conveyer is 12m
3. To determine the sides and angles, we use the sine rule;
[tex]\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}[/tex]
For side a, we use the Pythagorean theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]85^2 = a^2 + 67^2[/tex]
[tex]a = \sqrt{89^2-67^2}[/tex]
[tex]a = \sqrt{3432}[/tex]
a = 58. 58, a = 59m
To find angle A and B, use the sine rule
[tex]\frac{59}{sin A } = \frac{85}{sin 90}[/tex]
cross multiply
[tex]sin A[/tex] × [tex]85[/tex] = [tex]sin 90[/tex] × [tex]59[/tex]
make sin A subject of formula
[tex]sin A = \frac{59}{85}[/tex]
[tex]sin A = 0. 6941[/tex]
A = [tex]sin^-^1(0. 6941)[/tex]
A = 44°
[tex]\frac{67}{sin B} = \frac{85}{sin 90}[/tex]
cross multiply
[tex]sin B[/tex] × [tex]85[/tex] = [tex]sin 90[/tex] × [tex]67[/tex]
make sin b subject of formula
[tex]sin B = \frac{67}{85}[/tex]
[tex]sin B = 0. 7882[/tex]
B = [tex]sin^-^1( 0. 7882)[/tex]
B = 52°
4. To find the sides, we use the sine rule;
[tex]\frac{74. 0}{sin 56. 6} = \frac{c}{sin 90}[/tex]
Cross multiply
[tex]sin 56. 6[/tex] × [tex]c = sin 90[/tex] × [tex]74[/tex]
make 'c' subject of formula
[tex]c = \frac{74}{0. 8348}[/tex]
c = 88. 6 mm
To find length b, we use the Pythagorean theorem
[tex]c^2 = a^2 + b^2[/tex]
[tex]b^2 = c^2 - a^2[/tex]
[tex]b^2 = 88. 8^2 - 74^2[/tex]
[tex]b = \sqrt{7885. 44 - 5476}\\\\ b = \sqrt{2409. 44}[/tex]
b = 49. 1 m
[tex]\frac{74. 0}{sin 56. 6} = \frac{49. 1}{sin B}[/tex]
cross multiply
[tex]sin B = \frac{40. 99}{74. 0}[/tex]
B = [tex]sin^-^1(0. 5539)[/tex]
B = 34°
Learn more about trigonometric identity here:
https://brainly.com/question/7331447
#SPJ1
Which is the statement is true about f(x)=-2/3|x+4|-6
Answers
Answer: The graph of f(x) is horizontally stretched
NO LINKS!! Please help me with this problem.
Answers
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Information : The given ellipse is a horizontal ellipse, and it's centre lies on origin, as the foci are given on x - axis.
The foci of the ellipse can be written in form :
[tex]\qquad \sf \dashrightarrow \: ( \pm ae , 0)[/tex]
So,
[tex]\qquad \sf \dashrightarrow \: ae = 5[/tex]
and Vertex of the ellipse can be written as
[tex]\qquad \sf \dashrightarrow \: (\pm a,0)[/tex]
so, we get a = 11Now, plug the value in first equation ~
[tex]\qquad \sf \dashrightarrow \: ae = 5[/tex]
[tex]\qquad \sf \dashrightarrow \: 11e = 5[/tex]
[tex]\qquad \sf \dashrightarrow \: e = \cfrac{5}{11} [/tex]
Now, we have to find b (length of semi minor axis)
we can use the formula ~
[tex]\qquad \sf \dashrightarrow \: b {}^{2} = {a}^{2} (1 - {e}^{2} )[/tex]
[tex]\qquad \sf \dashrightarrow \: b {}^{2} = 121(1 - \frac{25}{121} )[/tex]
[tex]\qquad \sf \dashrightarrow \: b {}^{2} = 121( \frac{121 - 25}{121} )[/tex]
[tex]\qquad \sf \dashrightarrow \: b {}^{2} = 96[/tex]
Now, we can write the equation of ellipse as :
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {x}^{2} }{ {a}^{2} } + \cfrac{ {y}^{2} }{ {b}^{2} } = 1[/tex]
[ plug the values ]
[tex]\qquad \sf \dashrightarrow \: \cfrac{ {x}^{2} }{ {121}^{} } + \cfrac{ {y}^{2} }{ {96}^{} } = 1[/tex]
Answer:
[tex]\dfrac{x^2}{121}+\dfrac{y^2}{96}=1[/tex]
Step-by-step explanation:
General equation of an ellipse:
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex]
where:
center = (h, k)Vertices = (h±a, k) and (h, k±b)Foci = (h±c, k) and (k, h±c) where c²=a²−b²Major Axis: longest diameter of an ellipseMinor Axis: shortest diameter of an ellipseMajor radius: one half of the major axisMinor radius: one half of the minor axisIf a > b the ellipse is horizontal, a is the major radius, and b is the minor radius.
If b > a the ellipse is vertical, b is the major radius, and a is the minor radius.
Given:
foci = (-5, 0) and (5, 0)vertices = (-11, 0) and (11, 0)Therefore, the ellipse is horizontal with its center at (0, 0):
⇒ h = 0 and k = 0
⇒ a = 11
⇒ c = 5
To find b², use c² = a² − b²:
⇒ 5² = 11² − b²
⇒ b² = 11² − 5²
⇒ b² = 96
Therefore, the standard form of the equation of the ellipse is:
[tex]\implies \dfrac{(x-0)^2}{11^2}+\dfrac{(y-0)^2}{96}=1[/tex]
[tex]\implies \dfrac{x^2}{121}+\dfrac{y^2}{96}=1[/tex]
2x-y+52=16
X-6у +2z=-9
3x+4y- z=32
Answers
The solution to the given system of equation is (3, 3, 3)
Solving system of equationsGiven the following system of equation expressed as:
2x-y+5z=16
X-6у +2z=-9
3x+4y- z=32
Multiply equation 2 by 2 to have:
2x-y+5z=16
2X-12у +4z=-18
Subtract
10y+z = 34 .........4
Similarly
3X-18у +6z=-27
3x+4y- z=32
Subtract
-22y+7z = -59 ........... 5
Equate 4 and 5
10y+z = 34 .........4 * 7
-22y+7z = -59 ........... 5 * 1
_______________________
70y+7z = 238
-22y+7z = -59
Subtract
92y = 297
y = 3
Recall that
10y+z = 34
10(3) + z = 34
z = 3
Since x - 6y +2z = -9
x-6(3)+2(3) = -9
x - 18 + 6 = -9
x = 3
Hence the solution to the given system of equation is (3, 3, 3)
Learn more on system of equation here: https://brainly.com/question/25976025
#SPJ1
An insurance company wants to conduct a customer satisfaction survey. Because the company suspects the type of coverage might influence customers' opinions, it
divides the list of customers based on what type of insurance they have (auto, homeowner, rental, life, disability, or a combination of these). If five customers are randomly selected from each group, what sampling method would this represent?
A) Simple Random Sample (SRS)
B) Systematic
C) Stratified
D) Cluster
Answers
In statistics, stratified sampling is a method of sampling from a population which can be partitioned into subpopulations. In statistical surveys, when subpopulations within an overall population vary, it could be advantageous to sample each subpopulation independently.
A sales agent gets 15%commission for each motivational book he sells. if he sold books worth #284000,how much commission will he get?
Answers
Answer:
$42,600
Step-by-step explanation:
284000 x .15
Please help me with this math quickly
Answers
The area of the shaded part is 52 sq. inches. The correct option is b. 52 sq. inches
Calculating AreaFrom the question, we are to determine the area of the shaded part
In the given diagram, the shaded part is a rectangle
Area of a rectangle = Length × Width
Length of the shaded part = 18 inches - 4 inches - 1 inch = 13 inches
Width of the shaded part = 6 inches - 2inches = 4 inches
Then,
Area of the shaded part = 13 inches × 4 inches
Area of the shaded part = 52 sq. inches
Hence, the area of the shaded part is 52 sq. inches. The correct option is b. 52 sq. inches
Learn more on Calculating area here: https://brainly.com/question/12529348
#SPJ1
Carol and Janis decide to sew fancy masks to sell on Etsy. Carol can cut, pin, sew and pack a mask in 30 minutes. Working together they can complete a package in 16 minutes. How long does it take Janis to complete a package alone?
Answers
it would take Janis 14 minutes to complete a package alone
How to determine the valueFrom the information given,
Let's say that
Carol working time = x = 30 minutes
Janis working time = y
x + y = 16 minutes
Let's make 'y' the subject
30 - 16 = y
y= 14 minutes
Thus, it would take Janis 14 minutes to complete a package alone
Learn more about word problems here:
https://brainly.com/question/13818690
#SPJ1
Help again please. 10 points for help!! Thanks
Answers
Answer: 23 inches by 7 inches
Step-by-step explanation:
161 = 7 x 23 (or 1 x 161 but that doesn't help...)
And to check:
7 x 3 + 2 = 23
Answer:
23inches by 7inches
Step-by-step explanation:
7 ×3+2=23
The total square footage of your house is 1200 square feet. You want to put new carpet in every room, hallway, and closet, except for the kitchen, dining room and bathroom. If the kitchen is 10 ft by 12 ft and the dining room is 11 ft by 13 ft and the bathroom is 6 ft by 8 ft, how many square feet of carpet do you need for the house?
Answers
The number of square feet of carpet needed for the rooms is 889 ft².
How to find the area of a figure?The total square footage of your house is 1200 square feet.
He wants to put new carpet in all rooms except for the kitchen, dining room and bathroom.
Therefore,
total area = 1200 ft²
Area of the other rooms with no carpet = (10 × 12) + (11 × 13) + (6 × 8)
Area of the other rooms with no carpet = 120 + 143 + 48
Area of the other rooms with no carpet = 311 ft²
Hence, the number of square feet for the house = 1200 - 311 = 889 ft²
learn more on area here: https://brainly.com/question/15280811
#SPJ1
Need help, please.
Quick answer is okay
Answers
Answer:
The answer is choice C from the given alternatives.
You can solve by plugging in values for x and checking their corresponding values of y
You expect to receive $10,000 at graduation in two years. You plan on investing it at 11% until you have $75,000. How long will you wait from now?
Answers
Answer:
about 19.31 years
Step-by-step explanation:
[tex]10000( {1.11}^{x} ) = 75000[/tex]
[tex] {1.11}^{x} = 7.5[/tex]
[tex]x ln(1.11) = ln(7.5) [/tex]
[tex]x = \frac{ ln(7.5) }{ ln(1.11) } = 19.31[/tex]
Maria plots the following points on a coordinate grid. Then, she connects each plotted point to the previous one in the order shown to form a figure. What is the area, in square units, of the enclosed figure?
Answers
The area of the enclosed figure is 4 square units.
What is the area?The area is the amount of area occupied by an object's flat (2-D) surface or shape.
The triangle's area can be described as,
Area = 1/2 x base x height.
To find the area of the enclosed figure, we need to first plot the given points and then determine the shape of the figure.
Plotting the points A, B, and C on a coordinate grid, we get:
The image is given below.
Connecting points A, B, and C, we can see that the figure formed is a right triangle with legs of lengths 4 and 2.
Therefore, the area of the enclosed figure is:
Area = (1/2) x base x height
= (1/2) x 4 x 2
= 4 square units
To learn more about the area;
https://brainly.com/question/27683633
#SPJ2
The complete question:
Maria plots the following points on a coordinate grid. Then, she connects each plotted point to the previous one in the order shown to form a figure. What is the area, in square units, of the enclosed figure?
Point A (1, 3)
Point B (5, 7)
Point C(5, 3)
Point A (1, 3)
What effect will replacing x with (x - 4)have on the
graph of the equation y = (x - 3)²?
A. slides the graph 4 units up
B. slides the graph 7 units down
OC. slides the graph 4 units right
D. slides the graph 1 unit right
Answers
Answer: D. slides the graph 1 unit right
Step-by-step explanation:
See attached image.
A solution of ibuprofen contains 150g in 800ml. What is the percent strength of this solution?
Answers
Answer:
18.75 percent
Step-by-step explanation:
150 / 800 x 100 = 18.75
w^14+w^16
what will be the answer pls help
Answers
Answer:
there shouldnt be an answer, they are not like terms, for a proper answer it would have to be like terms, for example:
x^2+x^2=2x^2
or
w^12+w^12=2w^12
they need to have the same exponent for addition to happen
Can anyone help me find all the calculations to these cups?
Answers
The volume of the glasses is as follows;
glass 1 = 170 cm³glass 2 = 141 cm³glass 3 = 60 cm³How to find volume ?The volume of cylinder glass 1 = πr²h
The volume of cylinder glass 1 = 3.14 × 3² × 6
The volume of cylinder glass 1 = 3.14 × 9 × 6
The volume of cylinder glass 1 = 169.56 cm³ = 170 cm³
The volume of the glass 2 = 2 / 3 π r³ + πr²h
The volume of the glass 2 = 2 / 3 × 3.14 × 3³ + 3.14 × 3² × 3
The volume of the glass 2 = 56.52 + 84.78
The volume of the glass 2 = 141.3 cm³ = 141 cm³
The volume of conical glass 3 = 1 / 3 πr²h
The volume of conical glass 3 = 1 / 3 × 3.14 × 3² × (√7² - 3² = √40)
The volume of conical glass 3 = 9.42 × √40
The volume of conical glass 3 = 59.5773111176
The volume of conical glass 3 = 60 cm³
learn more on volume here: https://brainly.com/question/22907480
#SPJ1
Lines a and b are parallel and lines e and f are parallel what is the value of x
Answers
The value of x using the alternate exterior angle theorem is 82°
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and scalene.
From the diagram:
x = 82° (alternate exterior angles)
The value of x using the alternate exterior angle theorem is 82°
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Suppose that X is a Bernoulli random variable with success probability 0.8. (Note: If this number is not already rounded to two decimal places, round it to two decimal places before proceeding.)
Calculate the mean of X. Round your answer to two decimal places.
Answers
Reminder I don't know if I'm right, if I'm wrong please tell me. <3
50 POINTS!!! Answer the question well and I will also give Brainliest.
The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units, and the right cylinder has a height of 5 units. Which conclusion can be made from the given information?
A) The volume of the prism is half the volume of the cylinder.
B) The volume of the prism is twice the volume of the cylinder.
C) The volume of the prism is equal to the volume of the cylinder.
D) The volume of the prism is not equal to the volume of the cylinder.
Answers
Answer:
C) The volume of the prism is equal to the volume of the cylinder.
Step-by-step explanation:
volume of triangular prism = area of base × height
volume of cylinder = area of base × height
The cross sectional area are equal, so the bases have the same area.
The heights are also equal.
The volumes must be equal.
Answer: C) The volume of the prism is equal to the volume of the cylinder.
Answer:
C) The volume of the prism is equal to the volume of the cylinder.
Step-by-step explanation:
If the cross-sectional areas of the triangular prism and the right cylinder are congruent, it means that when you look at their shapes from the top or bottom, they have the same size and shape.
Since both the triangular prism and the right cylinder have a height of 5 units, and their cross-sectional areas are the same, it implies that they have the same volume as well. So, the volume of the triangular prism is equal to the volume of the cylinder.
Please mark me as Brainliest if you're satisfied with this answer
Plug in different values of h and k to answer the following questions. What happens when h is positive? What happens when h is negative? What happens when k is positive? What happens when k is negative?
Answers
A logarithmic function is the inverse of an exponential function.
What is a logarithmic function?A logarithmic function is the inverse of an exponential function.
Now we have the function;
f(x) = log(x) and the translated function f(x) = log (x-h) + k.
When h is positive, the asymptote moves upwards by the stated amountWhen h is negative , the asymptote moves downwards by the stated amountSimilarly;
When k is positive, the entirety of the graph moves upwardsWhen k is negative , the entirety of the graph moves downwardsLearn more about logarithmic function:https://brainly.com/question/3181916
#SPJ1
Missing parts;
Use the graphing calculator to graph the parent function.
f(x) = log(x)
Add the translated function.
f(x) = log (x-h) + k
Plug in different values of h and k to answer the following questions.
What happens when h is positive?
What happens when h is negative?
What happens when k is positive?
What happens when k is negative?
Answer:
When h is positive: horizontal shift to the right
When h is negative: horizontal shift to the left
When k is positive: vertical shift up
When k is negative: vertical shift down
Step-by-step explanation:
got it right on Edge
Lighthouse B is 10 miles west of lighthouse A. A boat leaves A and sails 6miles. At this time, it is sighted from B. If the bearing of the boat from B is N63E, how far from B is the boat?
The boat is either _ miles or _ miles from lighthouse B, to the nearest tenth of a mile.
Answers
The boat in discuss is 9.03 miles from lighthouse B.
What is the distance of the boat from lighthouse B?The distance of the boat from lighthouse B as required can be determined by means of the cosine law in which case we have;
c² = 10² + 6² - (2×6×10Cos 63)
c = 81.52
c = 9.03miles.
Read more on cosine rule;
https://brainly.com/question/2491835
#SPJ1
Question 10 (2.5 points) ✓ Saved
Write the comparison below as a ratio in simplest form using a fraction, a colon (:), and the word to.
15 dollars to 27 dollars