Two spotters of tornado are on a road running east-west and are 35 miles apart. The west man spots a tornado at bearing N 43° E and the east man spots the same tornado on a bearing of N 59° W. How far is the tornado from each man and how far is the tornado from the road?
Answers
The distance between the tornado, and both spotters is an illustration of bearing and distance.
The distance between the tornado and the spotter at the west is 30.67 milesThe distance between the tornado and the spotter at the east is 24.40 milesThe distance between the tornado and the road is 20.91 milesSee attachment for the positioning of the tornado, and the two spotters.
First, we calculate the angle T.
[tex]\mathbf{\angle T + 43 + 59 = 180}[/tex] ---- Sum of angles in a triangle
[tex]\mathbf{\angle T +102 = 180}[/tex]
Subtract 102 from both sides
[tex]\mathbf{\angle T = 78}[/tex]
From the attached figure:
y represents the distance between the tornado and the spotter at the westz represents the distance between the tornado and the spotter at the east x represents the distance between the tornado and the roadTo calculate y, we make use of the following sine formula
[tex]\mathbf{\frac{y}{sin(59)} = \frac{35}{sin(78)}}[/tex]
Make y the subject
[tex]\mathbf{y = \frac{35}{sin(78)} \times sin(59)}[/tex]
[tex]\mathbf{y = 30.67}[/tex]
To calculate z, we make use of the following sine formula
[tex]\mathbf{\frac{z}{sin(43)} = \frac{35}{sin(78)}}[/tex]
Make z the subject
[tex]\mathbf{z = \frac{35}{sin(78)} \times sin(43)}[/tex]
[tex]\mathbf{z = 24.40}[/tex]
Next, we calculate x, using the following sine trigonometry ratio
[tex]\mathbf{sin(59) = \frac{x}{z}}[/tex]
Make x the subject
[tex]\mathbf{x = z \times sin(59)}[/tex]
Substitute [tex]\mathbf{z = 24.40}[/tex]
[tex]\mathbf{x = 24.40 \times sin(59)}[/tex]
[tex]\mathbf{x = 20.91}[/tex]
Hence, the required distances are 30.67 miles, 24.40 miles and 20.91 miles.
Read more about bearing and distance at:
https://brainly.com/question/19017345
Related Questions
what can you say about the unknowns in the equation x+22=y+32
Answers
Answer:
x = y + 10
y = x -10
Step-by-step explanation:
For x:
Given: x + 22 = y + 32
Subtract 22 from both sides: x = y + 32 - 22
Answer: x = y + 10
For y:
Given: x + 22 = y + 32
Subtract 32 from both sides: x + 22 - 32 = y
Answer: y = x -10
I think this is what you are asking for? If not lemme know, have a nice day! :D
(also, this is my 300th answer hehehehe)
Model -2/4+3/4 on a number line
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Answer:
Step-by-step explanation:
-7/3(12q+1/3r+6) someone help me I need it for something important
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Answer:
Below
Step-by-step explanation:
-7/3 ( 12q + 1/3r + 6 )
multiply each number in the parentheses separately by - 7/3
- 7/3 ( 12q) = - 84/3 q or - 28q
- 7/3 ( 1/3r) = - 7/9 r
- 7/3 ( 6) = -42/3 or - 14
Putting back together you get
-28q - 7/9r - 14
14. The table shows the low temperatures in four cities
on Saturday.
City Temperature (°C)
Alford
-2.5
Gainesville
-0.4
Follett
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oby's
What is the order from coldest to warmest of these
temperatures?
A) -0.4 <-2.5 <-6.1 < 3.4
B -2.5 <-6.1 <-0.4 < 3.4
C -6.1< -2.5<-0.4 < 3.4
D 3.4 <-0.4<-2.5 <-6.1
off
0/
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Answer:
C
Step-by-step explanation:
From clodest to warmest temperature
-6.1 < -2.5 < -0.4 < 3.4
Olympic games are held every four years. they were held in 1992. when will the next three games be held?
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Evaluate 3x²-x+7) dx
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Answer & Step-by-step explanation:
I assume you mean to differentiate the equation.
We will solve using the power rule, where x^n = nx^n-1.
Apply this rule to all three numbers in our equation to get 6x, -1, and 0
A jojo tank takes 14 minutes to fill at a rate 5litres per minute 1.How many minutes would it takes to fill at 8 litres per minute? 2.what is the capacity of tje tank?
Answers
14/5= 2.8
2.8*8= 22.4 if you round it you will need 23 minutes
If not rounding then it would take 22 minutes and 4 seconds
Khan ACademy: WHATS THE ANSWER? Ill give branliest
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Answer:
Khan Academy is an American non-profit educational organization created in 2008 by Sal Khan, with the goal of creating a set of online tools that help educate students. The organization produces short lessons in the form of videos. Its website also includes supplementary practice exercises and materials for educators.
Step-by-step explanation:
The cost of a cup of tea is t cents.
The cost of a cup of coffee is (t + 5) cents.
The total cost of 7 cups of tea and 11 cups of coffee is 2215 cents.
7
Find the cost of one cup of tea.
Answers
Step-by-step explanation:
The cost of a cup of tea is t cents.
The cost of a cup of coffee is (t + 5) cents.
The total cost of 7 cups of tea and 11 cups of coffee is 2215 cents.
Therefore,
7t+11t+55=2215
18t=2160
t=120
1/7×2/3 in simplest form
Answers
Answer:
2/21
Step-by-step explanation:
1*2 and 7*3
Which pair of numbers are not opposites?
|7| and -7
17 and – 17
17 and | -17|
71 and - 71
Answers
Answer:
The answer is C, 17 and | -17|
Step-by-step explanation:
We can solve this using the process of elimination.
Looking at the first one, we know that those | | around the 7 mean to find the absolute value. The absolute value is the number of units the number is from zero, and it is always positive. This means that it is saying 7 and -7. Those are opposites, so we know that this isn't right.
17 and -17 are opposites, since the opposite of a positive is a negative.
The last one is the same. 71 and -71 are opposites. That leaves us with C.
Remember that those | | mean to find the absolute value of. -17 is 17 unites from zero. So is 17 the oppostie of 17? No, so these are not opposites, and therefore are our answer.
f (t) = 5t − 7
f(______) = 48
Answers
Answer:
f(11) = 48
Step-by-step explanation:
For what value of "t" will cause the equation to equal 48
5t - 7 = 48 Solve for t
5t = 55
t = 55/5
t = 11
Hi
Answers
Answer:
Hello ^-^
Step-by-step explanation:
Three more than twice a number b is equal to 13
Answers
(please mark brainliest)
Kale works in a packaging factory that has 900 employees. By the end of the day they manage to package 3.2x 10^5 products what is the average amount of products packaged per employee represented in scientific notation
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HELP PLEASE! VERY URGENT
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Answer:
can i have brainlest pls
Assignmenti Given A={a,b, c, d], find
the number of subsets in set A and of
List the possible subsets in set A.
Answers
9514 1404 393
Answer:
{ }, {a}, {b}, {c}, {d}, {a,b}, {a,c}, {a,d}, {b,c}, {b,d}, {c,d}, {a,b,c}, {a,b,d}, {a,c,d}, {b,c,d}, {a,b,c,d}
Step-by-step explanation:
The number of subsets of a set with n elements is 2^n, including the empty set and the full set. Your subsets are ...
{ }, {a}, {b}, {c}, {d}, {a,b}, {a,c}, {a,d}, {b,c}, {b,d}, {c,d}, {a,b,c}, {a,b,d}, {a,c,d}, {b,c,d}, {a,b,c,d}
simplify 4×81^-1/2 (81^1/2+81^3/2)
Answers
Answer:
328
Step-by-step explanation:
Using the power property of exponent.
On further simplification.
Using the negative power property of exponent.
Cancel out the common factors.
Therefore, the value of given expression is 328.
QUESTIONS:
1. What is the area of the original rectangle if its side is x units?
2. If each side of the small squares is y, what expression represents its area?
3. How will you express the area of the new figure in terms of the variables started in letters a and b?
4. What is the dimension of the new figure formed?
5. If the value of x is 4cm and the value of y is 1, what will be the dimension of the new figure?
Answers
Answer:
may its 3+4+5+6+65+67+79+7+=728383848
I don't know
The points (8, 8) and (18,8) fall on a particular line. What is its equation in slope-intercept form?
plz help i got 0/10 as the slope
Answers
Answer:
You got it right
Step-by-step explanation:
you need to do y2-y1
x2-x1
8-8=0
18-8=10
basically you got it right because its 0/10
Which point on the density curve represents the median value?
Answer is B
Answers
Answer:
Graphically, the MEDIAN of a density curve is the equal-area point, the point with half the area under the curve to its left and the other half to its right. The quartiles divide the area under the curve into quarters.
Step-by-step explanation:
The median of a density curve is the equal-areas point: the point that divides the area under the curve in half. The mean of a density curve is the balance point, at which the curve would balance if it were made of solid material.
hope this answers help you all
mark as brainlist.
rate this answer quys.
thank you ❤️
Answer: B is the median level
Step-by-step explanation: edge 2023
What is the arithmetic mean of the following numbers? 8, 1, 2, 6, 1, 48,1,2,6,1,48, comma, 1, comma, 2, comma, 6, comma, 1, comma, 4
Answers
9514 1404 393
Answer:
3 2/3
Step-by-step explanation:
The mean is the sum of the 6 numbers, divided by 6.
(8 + 1 + 2 + 6 + 1 + 4)/6 = 22/6 = 3 2/3
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dimes, and quarters. He has the same
number of nickels as dimes, and the total
value of the coins is $72.50. How many
quarters does he have?
Answers
Step-by-step explanation:
d = number of dimes
n = number of nickels
q = number of quarters
d + n + q = 500
d×$0.10 + n×$0.05 + q×$0.25 = $72.50
n = d
we are focusing now on one variable (let's try d), and we are transforming the other equations to express the other variable by this one variable.
since n = d we have already
d + d + q = 500
2d + q = 500
q = 500 - 2d
with that we go into the main equation
d×0.10 + d×0.05 + (500 - 2d)×0.25 = 72.50
d×0.15 + (500 - 2d)×0.25 = 72.50
d×0.15 + 500×0.25 - 2d×0.25 = 72.50
d×0.15 + 125 - d×0.50 = 72.50
-d×0.35 = -52.50
d = 52.50/0.35 = 150
n = d = 150
q = 500 - 2d = 500 - 2×150 = 500 - 300 = 200
so, he has 200 quarters.
Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)x−1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.
Answers
Answer:
So the functions that are given are the following:
[tex]h(x)=350\\s(x)=(1.04)^{x-1}[/tex]
So in order to find the money in his account, there would have to be a substitution for (x=$350) in the first function, and a place in the second function.
What number is
2/10
of 1% of 4,100?
Answers
Answer:
8.2
Step-by-step explanation:
4100*0.01=41
41*(2/10)=8.2
An Australian Shepherd breeder has had three litters of puppies from the same set of parents. The following table sho
next litter, what is the probability of a puppy having no spots? Enter a fraction or round your answer to 4 decimal plac
Number of Puppies
Black and White
Red and white
Black with Spots
Red with Sp
6
8
4
5
Answer
Answers
Using the probability concept, it is found that there is a 0.6087 = 60.87% probability of a puppy having no spots.
A probability is the number of desired outcomes divided by the number of total outcomes, that is:
[tex]p = \frac{D}{T}[/tex]
In this problem:
There are 6 + 8 + 4 + 5 = 23 puppies, thus [tex]T = 23[/tex].6 +8 = 14 have no spots, thus [tex]D = 14[/tex]Then, the probability is:
[tex]p = \frac{D}{T} = \frac{14}{23} = 0.6087[/tex]
0.6087 = 60.87% probability of a puppy having no spots.
A similar problem is given at https://brainly.com/question/15536019
Find the difference quotient of the function f(x)= 5x+3
Answers
Answer:
Consider the difference quotient formula.
f(x+h)−f(x)hf(x+h)-f(x)h
Find the components of the definition.
Tap for more steps...
f(x+h)=5h+5x−3f(x+h)=5h+5x-3
f(x)=5x−3f(x)=5x-3
Plug in the components.
f(x+h)−f(x)h=5h+5x−3−(5x−3)h
Step-by-step explanation:
Consider the difference quotient formula.
f(x+h)−f(x)hf(x+h)-f(x)h
Find the components of the definition.
Tap for more steps...
f(x+h)=5h+5x−3f(x+h)=5h+5x-3
f(x)=5x−3f(x)=5x-3
Plug in the components.
f(x+h)−f(x)h=5h+5x−3−(5x−3)h
The slope of a line is m= -4.
(a) Determine the slope of a line parallel to the line with the given slope.
(b) Determine the slope of a line perpendicular to the line with the given slope.
Select "Undefined" if applicable.
Part 1 of 2
The slope of a line parallel to the given slope is
Part 2 of 2
The slope of a line perpendicular to the given slope is
Answers
Answer:
a) -4
b) 1/4
Step-by-step explanation:
a) -4. This is because parallel lines have the same slope.
b) 1/4. This is because the product of perpendicular slopes will be -1. (This can be seen as -4 * 1/4 = -1)
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
Am I correct? Will give brainilest to correct answer!
Answers
Answer:
Yes 6/3=2 simplified which is way bigger than 2/3
Step-by-step explanation:
Answer:
[tex] \frac{6}{3} > \frac{10}{15} [/tex]
Option AStep-by-step explanation:
6/3=2
10/15 = 2/3 = 0.66...
2 > 0.66
A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25 feet per second. Which graph could represent the leaf’s height in feet as a function of time, in seconds, after leaving the branch?
Which equation represents the graphed function?
Answers
Answer:
0.25 - x
Step-by-step explanation:
Answer:
the last graph is correct
Step-by-step explanation: