Answer:
0
Step-by-step explanation:
Please help! 30 points!
Use the Law of Cosines to solve the problem.
A ship travels due west for 83 miles. It then travels in a northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree, how many degrees north of west did it turn when it changed direction? Show your work.
Answer: [tex]64.2^{\circ}[/tex]
Step-by-step explanation:
According to the cosine rule
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]
Putting values
[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]
So, the ship turns by [tex]64.2^{\circ}[/tex] north of west
The ship turned an at angle of 64.2 degrees north of west
Represent the angle, the ship turned due north of west with theta.
From the figure, we have the following equation
[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]
So, we have:
[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]
Evaluate the expression on the right-hand side
[tex]\cos(A) = -0.4350[/tex]
Take the arc cos of both sides
[tex]A = \cos^{-1}(0.4350)[/tex]
[tex]A =115.8^o[/tex]
The value of theta is then calculated as:
[tex]\theta = 180 -A[/tex]
This gives
[tex]\theta = 180 -115.8^o[/tex]
[tex]\theta = 64.2^o[/tex]
Hence, the ship turned an at angle of 64.2 degrees north of west
Read more about bearing and elevation at
https://brainly.com/question/19594654
What is the surface area of the pyramid formed from the net shown here? The triangles are equilateral, and each triangle has a height of 5.2 centimeters. Write your answer rounded to one decimal point and with the correct unit. 6.3 Incorrect. The surface area of an equilateral triangular pyramid is given by the formula surface area = 2bh. The surface area of this equilateral triangular pyramid is 2bh = 2 × 6 cm × 5.2 cm = 62.4 square centimeters. Enter the correct answer. the net of an equilateral triangular pyramid
Answer:
the surface area of the pyramid is 62.4 square centimeters
Step-by-step explanation:
The computation of the surface area of the pyramid is shown below:
As we know that
The surface area = 2bh
= 2 × 6 cm × 5.2 cm
= 62.4 square centimeters
Hence, the surface area of the pyramid is 62.4 square centimeters
Jill says he did it wrong. He should have multiplied the bottom first (3 x 5) and then multiplied by the height. Explain to Jill why Jack's method works and is equivalent to her method.
Answer:
Step-by-step explanation:
Jack's method is equivalent because of the "law of commutative property", which means that multiplication problems have the same result no matter the order.
2x5 is the same as 5x2
The pages of a book are numbered consecutively, beginning with 1. The digit 7 is printed 25 times in numbering the pages. What is the largest number of pages the book can have?
Answer:7
Step-by-step explanation:
urgent !! someone help
how do i give brainliest if you tell me i will give you brainliest!!! also please give me the answer to the question!
Answer:
DK
Also to give brainliest, two people will have to answer ur question
There will be an option i think because i never asked a question, so i dont know
You click the brain or crown on the top right of the answer.
Step-by-step explanation:
Simplify.If x=2, then what is 3x^2 - 2x + 1?
Step-by-step explanation:
3x^2-2x+1
3(2)^2-2(2)+1
3(4)-4+1
12-4+1
8+1=9 Answer
Step-by-step explanation:
3(2)^2 - 2x + 1
=3x4 - 2x + 1
=12 - 2x + 1
= 13 - 2x
Answer: 13 - 2x
Gavin is measuring strips of craft wood for a geometry project. He needs 42 feet of wood. He has 11 23 yards. How many more yards of wood does he need?
Answer:
2 1/3 yards
Step-by-step explanation:
Total length of wood needed = 42 feet
Convert feet to yards
1 feet = 0.333333 yards
42 feet = 14 yards
He has 11 2/3 yards.
How many more yards of wood does he need?
= 14 yards - 11 2/3 yards
= 14 - 35/3
= (42-35)/3
= 7/3
= 2 1/3 yards
He needs 2 1/3 yards more yards of wood
Help me please??????
Answer:
according to writer it answer is 2 minute
WHAT IS THE TOTAL SURFACE AREA??
Answer:
210
Step-by-step explanation:
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Answer:
Why are you spamming questions
Step-by-step explanation:
can someone help pls
Answer:
the answer is 216 sq cm.
Step-by-step explanation:
Do 12×14=168. Then 12×8=96. Then 96/2=48. Then add 168+48=216.
Answer:
216
Step-by-step explanation:
12x 14=168
8x12=96
96/2=48
168+48=216
Please help I don’t know
Answer:
b
Step-by-step explanation:
solve the proportion
An architect is building a model of a tennis court for a new client. on the model, the court is six inches wide and 13 inches long. An official tennis court is 36 feet wide. What is the length of the actual tennis court?
Answer: 78
Step-by-step explanation:
The rest of the answers are too small to be the length.
There is a 0.0125% chance that a baby might be born with a certain heart defect. If there are 312,000 babies born a day, about how many might have that defect? Round your answer to the nearest whole number.
Answer:
3,900 Babies
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
312000 x0.0125 / 100 = 39
I hope this helps a little bit.
Can someone help me and leave a description of how to do the problem? I need help asap!
Answer:
Step-by-step explanation:
Mr. Ford Invested $12,450 in a bank at 7.25% per annum simple interest for 6 years. calculate the interest he was paid
Answer:
If my calculations are correct, $5415.75 of interest was paid throughout 6 years.
Step-by-step explanation:
7.25% of 12,450 is 902.625.
If the interest being paid was the 7.25% of 12,450 throughout the 6 years then the answer is 902.625 x 6 ( the amount of years ) = $5415.75.
In other cases such as 7.25% of the new number of invested money after the loss of 902.625 then this answer is wrong, but I solved as I understood.
Hope this helps.
If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (revolutions per minute)? [There are 63,360 inches in 1 mile) Round your final answer to 2 decimal places .
Answer:
The tires are spinning at 660.49 revolutions per minute.
Step-by-step explanation:
The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:
[tex] \omega = \frac{v}{r} [/tex]
Where:
r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches
[tex]\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm[/tex]
Therefore, the tires are spinning at 660.49 revolutions per minute.
I hope it helps you!
What is the volume of this figure?
1 yd.
2 yd.
3 yd.
1 yd.
4 yd.
2 yd.
cubic yards
Answer:
where is the figure. please provide a figure.
Mike had a coupon for 20% off the price of a shirt at a certain store. What was the amount of the additional discount Mike received? • On the day he went, the store was also having a sale. • The original price of the shirt was $25.50. • The price after the coupon and the additional discount was $18.36. (A) 7% B) 10% © 27% D 30%
Answer:
7%
Step-by-step explanation:
which polynomial has the highest degree? HELP
Answer:
I believe it's choice (3) because the exponent of x is 25 and it's the largest exponent of the choices.
Step-by-step explanation:
Answer:
C. 25x^10+3x-15
Step-by-step explanation:
The degree of 3x^8-2x^7+x^6 is 8
The degree of 5x-100 is 1
The degree of 25x^10+3x-15 is 10
The degree of 134x^2 is 2
Therefore the largest degree is 10
Factorise fully :
mx + my + nx + mq
Find the 8th term in the following geometric sequence.
28, 14, 7, 3.5, ...
Answer:
0.21875
Step-by-step explanation:
if the common ratio is 0.5 keep multiplying till the eight term
3.5 ×0.5=1.75 fifth term
1.75×0.5=0.875 sixth term
0.875×0.5=0.4375 seventh term
0.4375×0.5=0.21875 eight term
Therefore the eight term is 0.21875
HELP MEEEEEE (no links)
Answer:
..............................
Which expression and value represents 100 less than 3 times the sum of 18 and 2?
O 3 (18+ 2) - 100; -44
O 3 % (18 + 2) - 100; -40
O 100 - 3* (18 + 2); 40
O 100 - 3x (18+ 2): 48
Answer:
3 times (18+ 2) - 100
3 (18+2) - 100 = -40
Ruth is two times as old as Margie, and Lily is 10 years older than Ruth. If Lily is 60 years old, how old is Margie? (Let m represent the age for Margie and r represent the age for Ruth in years)
Answer:
25 years
Step-by-step explanation:
10)
11)
a) The following letter cards are put in a bag. SQUARE
A card is picked at random.
Choose from the list of words to complete each sentence.
certain impossible likely unlikely evens
(1) It is
to pick a card with the letter D on it.
(ii) It is
to pick a card with a vowel on it.
b) The Venn diagram shows the number of students who passed their
examination in German (G) and in English (E)
The number of students who did not pass either examination is f.
() Find fif the total number of students is 62. f = 9
If one of the 62 students is randomly selected, what is the
(13 (24) 16)
probability that this student
(ii) passed both German and English?
24/62
(iii) passed exactly one of these two subjects?
[1]
[1]
29/62
Submit Answer
Step-by-step explanation:
it's impossible to pick the letter D
it is likely to pick a vowel.
5. Brody bought 12 books. Two-thirds of the books are science fiction.
How many books are science-fiction? *
Vour answer
Answer:
8
Step-by-step explanation:
12 divided by 3 is 4 and since its 2/3 you multiple 4 times 2 giving you 8
Answer:
8
Step-by-step explanation:
Multiply amount of books by the fraction of
Whats 6x-5+2x=3x-2x+9?
Answer:
X=2
Step-by-step explanation:
first combine like terms
subtract the x
add 5
lastly divide by 7
What number is 38% of 88
Answer:
33.44
Step-by-step explanation:
Use this calculator to find percentages. Just type in any box and the result will be calculated automatically.
Calculator 1: Calculate the percentage of a number.
For example: 38% of 88 = 33.44
Calculator 2: Calculate a percentage based on 2 numbers.
For example: 33.44/88 = 38%
What is the estimated situation.
Answer:
Please show more information!
Step-by-step explanation:
Answer:
Lookin good soldier. Troops are ripping through their pathetic defenses. They're already runnin for the hills.