A ship's navigator can keep the ship in safe waters by staying outside the 300-degree arc between two lighthouses and using the beams as navigational guides. Additionally, in areas with water breaks, navigators should account for wave diffraction to determine the safest angles for mooring.
Explanation:To navigate safely and avoid the unsafe waters near the coastline marked by the 300-degree arc between two lighthouses at points A and B, a ship's navigator should use both lighthouses as reference points for establishing a safe navigational path. Typically, lighthouses are equipped with rotating beams, which can serve as a guide to determine a ship's position relative to hazardous areas. If the ship maintains a course outside of the direct line of sight between the two lighthouses, it can stay within the safe waters.
The navigator should also consider wave action when near a coastline or harbor entrance. If any breakwater structure or water break exists, such as a rock barrier with an opening, the navigator would need to be mindful of the wave patterns. As waves enter the opening, they diffract, and boats are generally safest at angles where the wave intensity is minimized.
Bob is building a wooden cabin. The cabin is 303030 meters wide. He obtained a bunch of 171717 meters long wooden beams for the roof of the cabin. Naturally, he wants to place the roof beams in such an angle that each pair of opposite beams would meet exactly in the middle. What is the angle of elevation, in degrees, of the roof beams
Answer:
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
The width of the room is 30 meters.
If two beams will be making an angle, they will half the width.
There will be a right triangle made, so using SOH CAH TOA,
[tex]cos x=\frac{adjacent}{hypotenuse}[/tex]
[tex]cos x=\frac{15}{17}[/tex]
taking cos inverse
x = [tex]cos^{-1} (\frac{15}{17} )[/tex]
x = 28.07° : Answer
Hope it will help :)
Answer:
28.07
Step-by-step explanation:
Credit to first said it
I NEED HELP ASAP Use the Law of Detachment or the Law of Syllogism to draw a conclusion. 3. If Shauna is early for her meeting, she will gain a promotion. If Shauna wakes up early, she will be early for her meeting. Shauna wakes up early.
I need help!!!! Please if you get it right i will mark you brainliest!
Verify the identity.
tan x plus pi divided by two = -cot x
Find the dimensions of a rectangle whose perimeter is 24 feet and whose area is 27 square feet.
Zaira spent 55 hours in 2 weeks working on a science project. she worked 32 hours the first week. Write and solve an addition equation to find the amount of time she spent working the second week.
A company is selecting students for interviews at the career fair. The number of students selected from university A is given by f(x) = 4x + 5, where x represents the number of days of the fair. The number of students selected from university B is given by g(x) = 2x + 8. Which function best describes the total number of students selected at the career fair?
a. h(x) = (4x + 5)(2x + 8)
b. h(x) = 2x - 3
c. h(x) = -2x + 3
d. h(x) = 6x + 13
Answer:
B, for plato students that is
Step-by-step explanation:
What’s one way we can check our answer to 2x10=20
Prism A is similar to Prism B. The volume of Prism A is 2080 cm³.
What is the volume of Prism B?
260 cm³
520 cm³
1040 cm³
16,640 cm³
The volume of prism B is [tex]\rm 260 \; cm^3[/tex] and this can be determined by taking the ratio of the volume of both the prism.
Given :
Prism A is similar to Prism B. The volume of Prism A is 2080 cm³.To determine the volume of prism B, first determine the ratio of the volume of prism A to the volume of prism B that is:
[tex]\rm \dfrac{V_A}{V_B}=\dfrac{8^3}{4^3}[/tex]
[tex]\rm \dfrac{V_A}{V_B}=8[/tex]
Now, put the value of the volume of prism A in the above expression.
[tex]\rm \dfrac{2080}{V_B} = 8[/tex]
Divide 2080 by 8 in the above equation.
[tex]\rm V_B = \dfrac{2080}{8}[/tex]
[tex]\rm V_B = 260\;cm^3[/tex]
So, the volume of prism B is [tex]\rm 260 \; cm^3[/tex].
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Jared is in charge production in a factory that makes lightbulbs. The factory made 2648 lightbulbs over the weekend. Jared wants to pull a sample of these bulbs for testing. Which sample would give Jared the most -accurate test readings ? —a sample consisting every 20th lightbulb- a sample consisting every 40th light bulb- a sample consisting every 50th lightbulb- a sample consisting every 100th light bulb?
Answer:
A
Step-by-step explanation:
Solve the following automotive-services problem.
Resistance = 0.1 ohm
Current = 60 amps
Voltage = ______ ?
A. 0.6
B. 6 60
C. 600
Can someone help me with this problem?
3500 calories for 6 servings of pie how many calories per serving
someone pleaseeeeeeeeee help me!
1. Displacement vectors of 5 km north, 3 km east, 2 km south, and 3 km west combine to a total displacement of
3 km north.
13 km west.
0 km.
2 km south.
The area of a triangle is 36 square meters. The base is 1 meter less than the height. What is the height of the triangle?
Which quadratic regression equation best fits the data set?
Answer:
D. [tex]y=1.87x^2-5.16x+10.54[/tex]
Step-by-step explanation:
The data set is given by,
x y
1 5.9
2 8.9
3 13.4
4 20.1
5 30.1
6 45.1
7 67.7
Using the regression calculator, we see that,
The quadratic equation that best fits the data is [tex]y=1.87x^2-5.16x+10.54[/tex] as shown below.Thus, option D is correct.
The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct?
Kevin is incorrect because 3:5 may be a simplified ratio.
Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.
Given that,
The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct is to be determined,
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here, the ratio of girls to boys is 3:5, Which implies there are 3 girls over 5 boys in the number, This is the simplified ratio of the girls to boys of the students in the class. So, Kevin says there must be 8 students in the classroom which is right, but Kevin does not explain the proportion in his statement,
Thus, Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.
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Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none. please help asap
Answer:
option C
Step-by-step explanation:
In the figure attached, the given quadrilateral will be parallelogram if the given angles ∠7 = ∠3 and ∠8 = ∠4 ( alternate angles ) or ∠1 = ∠5 and ∠2 = ∠6 ( alternate angle )
But the given angles are ∠7 and ∠8 which represent a big angle A when combined.
Therefore, option C none will be the answer.
Arthur buys a zero coupon bond with a face value of $5000 for $4000. The bond has five years until it matures. How much would Arthur earn if he holds this bond to maturity?
A local magazine is offering a $2,500 grand prize to one lucky winner. $1,000 will be paid on the day of the drawing. the remaining $1,500 will be paid in three annual payments of $500 each, starting one year after the drawing. how much would this prize be worth to you if you can earn 9 percent on your money?
What is the slope of any line parallel to y = 4x + 17
Continue the following pattern; describe the eighth figure in this pattern
Answer:
The Eighth Figure would be an 8 by 8 square with 64 small squares
Step-by-step explanation:
The Figures shown in the picture are following a fairly simple pattern. Each variation is adding 1 row and 1 column of squares. Variation 4 has a 4 by 4 square with 16 small square (4*4 = 16). If we continue with pattern then variation 8 will be an 8 by 8 square with 64 smaller squares inside it (8*8 = 64)
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Find the 11th term from the end in the AP 56, 63, 70,..., 329
Roger counted the kids in the cafeteria on Monday. There were 9 tables of 10 kids at the start of lunch. In the middle of lunch, 4 kids came in and sat down. How many kids were in the cafeteria then?
Write the expression-3x2+2y2+5xy-2y+5x2-3y2 in simplest form A how many terms are in the simplified expression? B how many terms in the simplified expression negative
A) There are 3 terms in the simplified expression. B) There are 2 terms in the simplified expression that are negative.
First, let's combine the terms that are alike. We can combine the [tex]x^2[/tex] terms and the [tex]y^2[/tex] terms:
(-3 [tex]x^2[/tex] + 5 [tex]x^2[/tex] ) + (2 [tex]y^2[/tex]- 3 [tex]y^2[/tex]) + 5xy - 2y
This gives us:
2 [tex]x^2[/tex] - [tex]y^2[/tex]+ 5xy - 2y
We can then combine the xy and y terms:
2 [tex]x^2[/tex] - ( [tex]y^2[/tex]+ 2y)
This gives us:
2 [tex]x^2[/tex] - [tex]y^2[/tex]- 2y
So, the simplified expression is 2 [tex]x^2[/tex] - [tex]y^2[/tex]- 2y.
There are 3 terms in the simplified expression.
There are 2 terms in the simplified expression that are negative.
Here is a breakdown of the steps involved in simplifying the expression:
Combine the [tex]x^2[/tex] terms and the [tex]y^2[/tex] terms.
Combine the xy and y terms.
Check to make sure that there are no common factors that can be canceled.
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Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?
Answer:
-12 and 2
Step-by-step explanation:
[tex]x^2+10x=24\\[/tex]
[tex]x^2+2*5*x=24[/tex]
[tex]x^2+2*5*x+5^2-5^2=24[/tex]
[tex](x^2+2*5*x+5^2)-5^2=24[/tex]
Using the identity
[tex]a^2+2*a*b+b^2 = (a+b)^2[/tex]
we get
[tex](x+5)^2-5^2=24[/tex]
[tex](x+5)^2-25=24\\[/tex]
[tex](x+5)^2=24+25\\(x+5)^2=49\\(x+5)=+7 \\or (x+5)=-7\\[/tex]
Solving both of them we get
x=-12 or x=2
I Put 45 Points!!
Use what you have learned from this chapter to make a model boat out of a 10-cm square piece of foil. Test your model boat in a tank of water to see how many pennies it can support before sinking. Compare the performance of your boat with those of your classmates. Suggest several design improvements based on your results. Respond to at least one other students posting giving suggestions on how the model of their boat or yours could be improved to increase buoyancy.
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Quadrilateral JPRA is similar to quadrilateral KDEW . PR=27 mm , DE=15 mm , and WE=25 mm .
What is AR ?
Final answer:
To find AR in quadrilateral JPRA similar to quadrilateral KDEW, use the concept of similar triangles to determine AR = 45 mm.
Explanation:
To find AR in quadrilateral JPRA that is similar to quadrilateral KDEW, we can use the concept of similar triangles.
Calculate the scale factor between the two quadrilaterals: PR/DE = AR/WE
Substitute the known values: 27/15 = AR/25 and solve for AR which gives AR = 45 mm.
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs. How much money did Mrs. Wise spend on apples on Tuesday?
In 10 minutes, the top three finishers in a hot dog eating contest consumed a total of 130 hot dogs. the winner, person a, ate 8 more hot dogs than the runner-up, person
b. person c finished a distant third, 10 hot dogs behind person
b. how many hot dogs did each person eat?
Final answer:
The winner, Person A, ate 52 hot dogs, the runner-up, Person B, ate 44 hot dogs, and Person C finished third with 34 hot dogs.
Explanation:
The question involves solving a system of linear equations to find out how many hot dogs each participant in a hot dog eating contest ate. Let's assign variables to each person: A for the winner, B for the runner-up, and C for the third-place finisher. According to the problem, A ate 8 more hot dogs than B, and C ate 10 fewer hot dogs than B.
Here are the equations based on the information provided:
A = B + 8 (Person A ate 8 more than person B)C = B - 10 (Person C ate 10 less than person B)A + B + C = 130 (Together they ate 130 hot dogs)Now we substitute the expressions for A and C in terms of B into the third equation:
(B + 8) + B + (B - 10) = 1303B - 2 = 1303B = 132B = 44Using the value of B, we find out A and C:A = 44 + 8 = 52C = 44 - 10 = 34Therefore, Person A ate 52 hot dogs, Person B ate 44 hot dogs, and Person C ate 34 hot dogs.