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olganol [36]
3 years ago
14

Without using a trigonometric ratio, find the distance from the ship to the buoy, B. Round the distance to the nearest tenth of

a mile.

Mathematics
1 answer:
alexdok [17]3 years ago
5 0
Without using the trigonometry ratio, we can find the distance between the ship and the buoy by:

the distance between City and Lemont SUBTRACT the vertical distance between City and the point parallel to the Ship

The distance between the City and Lemont can be worked out using the Sin rule 
\frac{57.8}{sin(36)}= \frac{City-Lemont}{sin(92)}
City-Lemont= \frac{57.9sin(92)}{sin(36)} = 98.27.....≈98.3

The vertical distance between the City and the point parallel to the ship can be worked out using the Pythagoras theorem
\sqrt{57.8^{2}- 44.6^{2} } =36.765...≈36.8

The distance between the ship and the Buoy is given:
98.3-36.8=61.5 miles

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Inequality task :<br> -3(x+2)&gt;-69-12x
lys-0071 [83]

Answer:

-7 > x

Step-by-step explanation:

first we expand the brackets so it will be -3x -6>-69-12x

then we can convert the > to = so it will be :

-3x -6=-69-12x

we can now try to solve the equation for x so :

-3x -6= -69-12x

-6 = -69-9x

63 =-9x

7 = -x

-7 = x

we can then change the symbols back so it will be:

-7 > x

7 0
3 years ago
If mABC= 116’ what is m ABC
Vikentia [17]

 

\displaystyle\bf\\\textbf{The 2 notations are equivalent.}\\\\The~notation:~"m\widehat{ABC}"~is~equivalent~to~the~notation:~"m\angle\,ABC".\\\\\implies~~\boxed{\bf~m\angle\,ABC=m\widehat{ABC}=116^o}

4 0
3 years ago
Is this the right answer
nevsk [136]
You would have to change it into an improper fraction which you would just subtract 14 from the numerator
5 0
3 years ago
Read 2 more answers
The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 1
Tanzania [10]

Answer:

the object will fall 792 feet in 17 seconds

Step-by-step explanation:

first you can do 144 multiplied by 5 because that would be 15 of those seconds next you would do 144 divided by 2 because you only need 2 seconds to reach 17 your answer would be 72 then you would do 720+72=792 so it would fall 792ft in 17 seconds

3 0
3 years ago
Read 2 more answers
***PLEASE HELP***
Molodets [167]
Given:
250 sheep in a 40-acre pasture.
Number of sheep grazing in each acre.

250/40 = 6.25 or 6 sheep per acre

n = 6
sample proportion: signified by ρ
Sample 1: 4 → 4/6 = 0.67
Sample 2: 1 → 1/6 = 0.17
Sample 3: 9 → 9/6 = 1.50

multiply the sample proportion by 1-ρ
Sample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211
Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411
Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75

divide the result by n. n = 6
Sample 1: 0.2211/6 = 0.03685
Sample 2: 0.1411/6 = 0.02352
Sample 3: -0.75/6 = -0.125

square root of the quotient to get the standard error.
Sample 1: √0.03685 = 0.1919
Sample 2: √0.02352 = 0.1534
Sample 3: √-0.125 = invalid

z value 95% confidence 1.96.

Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of error
Sample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of error


8 0
3 years ago
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