The exact distance and direction that Patrick is from Johnny is; 177.81 ft and 215.52°
How to utilize trigonometric ratios?Let the distance of Johnny to Patrick be x.
The angle opposite x would be; (90 - 50) + 90 + 30 = 160°
We will therefore use the cosine rule to find x;
X² = A² + B² - 2ABcosx
Where;
A and B are the distance of Johnny to Rob and Rob to Patrick respectively. Thus;
X² = 130² + 50² - 2(130)(50)cos160
X²= 16900 + 2500 + 12216.004
X² = 31616.004
X = 177.81 ft
To get the direction "y" we will use sine rule;
50/siny = 177.809/sin160
50/siny = 177.809/0.342
50/siny = 519.9094
Siny = 50/519.904
Siny = 0.09617
y = sin⁻¹(0.09617)
y = 5.52°
The bearing of Patrick from Johnny is;
5.52 + 30 + 180 = 215.52°
Read more about Trigonometric Ratios at; https://brainly.com/question/24349828
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In a survey, 150 seventh graders said that they had been to a foreign country. That number represented 20% of the students who were surveyed. How many students were surveyed?
Answer:
750
Step-by-step explanation:
150/2=7.5
7.5*100=750
750*0.2=150
Please help!
6:2(1+2)=??
[tex]6 \div 2(1 + 2) = 9[/tex]
Explanation :[tex]6 \div 2(1 + 2)[/tex]
[tex] = 3(3)[/tex]
[tex] = 9[/tex]
I ready volume with fractional length
Answer:
im here to help.
Step-by-step explanation:
yup
Please help with this area
Answer:
L = 7 W= 12
Step-by-step explanation:
Ok so we already know that a rectangle is not even so the numbers will have to be 2 diff numbers.
The length is 5 feet less then width
w*l= 84
1* 84 2* 41 3*28 4*21 6*14 7*12
84-1 41-2 28-3 21-4 14-6 12-7
83 39 25 19 8 5
So,
your equation would be l*w = 7*12
(-40) divided by (_)= (-8) what is the missing number?
Answer:
5!
Step-by-step explanation:
-40÷5 = -8
SOLVE the EXPRESSION
Evaluate 6s - 3t If s=4 and t=-2
Answer:
30
Step-by-step explanation:
6(4) - 3(-2) =
24 + 6 =
30
Help pleaseeeeee!!!!!!!!
Answer:
2hklakkskamkaoaiaikanwkaisosossosooaolalao
b.1=(-2x2)+5
or you say x=2 and y=1
Step-by-step explanation:
bro bit a no answer ok
please mark me as brainlist
absolute value of x=5
what is x
Answer:
5
Step-by-step explanation:
5 = 5
Please please give answer for this question
Anna needs to purchase some new clothes. for each pair of jeans she will buy three sweaters. how many sweaters can she purchase if she has $255?
jeans cost: $40 each
sweaters cost: $15 each
use elimination method for solving systems of equations.
Answer:
3
Step-by-step explanation:
each time Anna purchased a pair of jeans she spends 40+15(3)=40+45=$85, including the sweaters. to find how many jeans and sweaters she buys $255÷$85=3
If (y + 1) varies directly as square root of x and y =14 when x = 27, find the value of y when
x = 64 without finding the variation constant.
Answer:
22.1 or 22
Step-by-step explanation:
Y + 1 varies√x
Y + 1 = K√x ( k is costant)
so we solve for K
given: 14 + 1 = K√27
15 = K√27
divide both sides by √27
15/√27 = K
to find the value of y
y + 1 = 15/√27 (8) : substitute K for 15/√27
Y + 1 = 120/√27
i.e Y = 120/√27 - 1
Y = 23.1 - 1
Y = 22.1 or 22
Solve for m.
m
2
= 13
Answer:
m=6.5
Step-by-step explanation:
13 divided by 2= 6.5
¿en 765.123,el 6 representa 6,6.000,60.000 o 600.000?
Answer:
60.000
Step-by-step explanation:
El 6 está en la area de los 10 miles, entonces multiplicamos 6 por 10.000 para recibir la respuesta.
Which set of numbers below DO NOT make a triangle?
7,7,7
6, 3, 3
3,4,5
5, 11,7
Answer:
6, 3, 3 (B)
Step-by-step explanation:
Two sides of a triangle must be greater than the remaining side
A way to think about this is like this:
The two shortest sides of a triangle must be greater than the final side
Go through this process for each option and find the B does not work
pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee help asap timed test
A coordinate plane with a straight line. The line starts in the lower left quadrant and continues up through the uppercase right quadrant. The line passes through the y-axis slightly below the origin, and then passes through the x-axis slightly to the right of the origin.
Which of these values could be the slope of the line? Select two options.
–2
0
3
Answer: 3 and 7/4
Step-by-step explanation:
Because all the other answers are a negative slope or undefined.
The graph shown is positive so the slope has to be positive.
Remember to press that Thanks button!
suppose that rectangle ABCD is dilated to A'B'C'D using the origin as the center and a mangnitude of 2. What are the coordinates of C'?
Answer:
-8,-8
Step-by-step explanation:
Hope u get it right! :D
simplify and factor this expression; 12x+18y+18x
Answer:
15x+9y
Step-by-step explanation:
1) Add: 12x+18x+18y= 30x+18y
2)Factor (divisible by 2)
3)Divide 2 from 30 and 18 so,
4)15x+9y
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
-1
Step-by-step explanation:
If you multiply x by -1 you will get the y value to be the negative of that number.
Hope this helps!!
Answer:
so first find what y equals then put the negative in front of it lol there is a pattern positive and negative
3,-3
4,-4
5,-5
6,-6
y,-y
Step-by-step explanation:
Anyone help please.
Correct answer
Giving brainliest
Answer:
The answer is true
Step-by-step explanation:
Think of it this way, when x and y are approaching positive infinity, infinity (lets say the initial coordinate value is (5,8), infinity will always be greater than 5
Hope that helps :)
Imagine you are a financial analyst at an investment bank. According to your research of publicly-traded companies, 60% of the companies that increased their share price by more than 5% in the last three years replaced their CEOs during the period. At the same time, only 35% of the companies that did not increase their share price by more than 5% in the same period replaced their CEOs. Knowing that the probability that the stock prices grow by more than 5% is 4%, find the probability that the shares of a company that fires its CEO will increase by more than 5%.
Answer:
0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this problem:
Event A: Company fires the CEO
Event B: Shares increase by more than 5%.
Probability of a company firing it's CEO:
35% of 100 - 4 = 96%(shares did not increase by more than 5%).
60% of 4%(shared did increase by more than 5%).
So
[tex]P(A) = 0.35*0.96 + 0.6*0.04 = 0.36[/tex]
Intersection of events A and B:
Fires the CEO and shared increased by more than 5%, is 60% of 4%. So
[tex]P(A \cap B) = 0.6*0.04 = 0.024[/tex]
Probability that the shares of a company that fires its CEO will increase by more than 5%.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.024}{0.36} = 0.0667[/tex]
0.0667 = 6.67% probability that the shares of a company that fires its CEO will increase by more than 5%.
Adrienne’s lunch cost $13.16. She hands the cashier $20. About how much change does Adrienne receive?
Answer:
Use long subtraction to evaluate.
6.84
Step-by-step explanation:
Plz help with the problem in the picture. Thanks
Answer: x(0,0)y(0,0) tell me more I don't really understand it
x=3.4
Step-by-step explanation:
Help me I’m stuck and please can someone explain this to me
Answer:
84 degrees
Step-by-step explanation:
3x = 4x - 28. Reason: Alternate Exterior Angle are congruent
X=28 Reason: Algebra
Y+4x-28= 180 Reason: Straight angles = 180 degrees
Y=84. Reason: Algebra
Plz help! I don’t know how to do these!
4. x= 40
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
☺️
consider the two functions. which statement is true?
Answer:
The right answer is D
Step-by-step explanation:
The slope of the first function is 2.5, the slope of the second function is 3, so function 2 has a greater rate of change by [tex]\frac{1}{2}[/tex].
The function f(x) = 3/4(10)–x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)?
Answer:
u already have the answer
Answer:
For people that can't see the picture it's
C (2,-3/400) third option
Step-by-step explanation:
Given f(x) = -(x - 5)^2 + 1, what is the value of h?
Answer:
It began after the stock market crash of October 1929, which sent Wall Street into a panic and wiped out millions of investors. Over the next several years, consumer spending and investment dropped, causing steep declines in industrial output and employment as failing companies laid off workers.
One end of a ramp is raised to the back of a truck 5 feet above the ground. 1 point
If the length of the ramp is 8 feet, what is the approximate measure of the
angle the ramp makes with the ground? Round your answer to the nearest
tenth of a degree.
38.7°
58.0°
32.0
51.3
Answer:
38.7°
Step-by-step explanation:
You are basically looking at a triangle with a 90° angle (check picture).
Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:
[tex]sin (\alpha) = opposite / hypothenuse= 5 ft/8ft[/tex]
which is equivalent to
[tex]\alpha = sin^{-1}(5/8)\approx 38.7\deg[/tex]
Can you show me the steps that you took to get the answer for this question?
HELPP I WILL GIVE BRAINLEIST!! PLSSSSS PLSSSSSSS
Answer:
x = 3 && y = - 1
Step-by-step explanation:
Just solving the two equations
the first equation
y = 4/3 x +3
y - 4/3 x = 3 ..............................................(1)
the second equation
y = -2/3x -3
y + 2/3 x = -3 ..............................................(2)
by substracting 2 from 1
-4/3x - 2/3x = -6
divide by -1
4/3x +2/3x = 6
6/3x = 6
2x = 6
x= 3
then subsititute by value x in any of given eqautions