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Ivahew [28]
3 years ago
7

Solve a ship leave port and travel 21km on a bearing of 032° and then 45km on a bearing 287 calculate the distance and bearing o

f the port from the ship
Mathematics
1 answer:
Olin [163]3 years ago
3 0

Answer:

Step-by-step explanation:

Let shall be considering the Cosine rule in this situation.

a^2 = b^2+c^2- 2bc.cosA

Where a = ?

b = 21km

c 45km

A = 131

a^2 = 21^2+45^2-2(21*45).cos131

a^2 = 441+2025-1890(-0.6560)

a^2 = 2466+1239.951

a^2 = 3705.951

a= 60.876km

Finding the bearing of the port from the ship.

We shall be considering the Sine rule

Sin A/a = Sin B/b

Where A = ?

a = 45km

B = 131°

b = 60.876km

Sin A/45 = sin131/60.876

SinA×60.876 = 45×sin131

SinA×60.876= 45×0.7547

SinA×60.876 = 33.961

SinA= 33.961/60.876

SinA = 0.5578

A = sin^-1 0.5578

A = 33.9°

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the area of a triangle is 384 square feet. If its base is 8 feet longer than its altitude, find the length of the base and the a
REY [17]
A=1/2bh
b=8+h
A=384

384=1/2(bh)
times 2
768=bh
sub
768=b(8+b)
768=8b+b^2
minus 768 both sides
0=b^2+8b-768
factor
0=(b-24)(b+32)
set to zero
b-24=0
b=24

b+32=0
minus 32
b=-32
false, legnths cannot be negative

b=24
24=8+h
minus 8
16=h

base=24ft
altetude=16ft
6 0
4 years ago
Which of the following is true for most distributions? Group of answer choices
Drupady [299]

Answer:

a)

Step-by-step explanation:

The standard deviation is a measure that tells us how far measures tend to be from the mean. A low standard deviation gives us values closer to  the mean than a high standard deviation. Usually 68% of the data falls within one standard deviation of the set.

Thus, the most accurate answer would be a) Around 70% of the scores will be located within one standard deviation of the mean

8 0
3 years ago
In ∆ABC, point D is the centroid. If (AE) ̅=15, (BF) ̅=27, and (CD) ̅=8, find the following lengths
Anna71 [15]

Answer:

5,18,12 cms are the answer.

Step-by-step explanation:

Given is a triangle ABC.  Point D is the centroid.  

E,F and G are midpoints of CB, BA and AC respectively.

AE, BF and CG are medians of the triangle.

We know that centroid divides the median in the ratio 2:1

Using this we find that AD:DE = 2:1

Or AD+DE:DE = (2+1):1

AE:DE =3:1

15:DE = 3:1 . Hence DE =5 cm.

On the similar grounds we find that DF = 1/3 BF = 9

Hence BD = DF-BF = 27-9 =18 cm

and also

CG = 3/2 times CD = 12 cm.

7 0
3 years ago
jamerra received a $3,00 car loan. she plans on paying off the loan in 2 years. at the end of 2 years, jamerra will have paid $4
leonid [27]

The rate of interest is 75 % per year

<em><u>Solution:</u></em>

Given that, Jamerra received a $3,00 car loan

she plans on paying off the loan in 2 years

<em><u>Jamerra will have paid $450 in interest</u></em>

Therefore, we get

Principal = $ 300

Number of years = 2

Simple Interest = $ 450

Rate of interest = ?

<em><u>The simple interest is given by formula:</u></em>

simple\ Interest = \frac{p \times n \times r}{100}

Where,

"p" is the principal and "n" is the number of years and "r" is the rate of Interest

<em><u>Substituting the given values we get,</u></em>

450 = \frac{300 \times 2 \times r}{100}\\\\450 = 3 \times 2 \times r\\\\6r = 450\\\\r = \frac{450}{6}\\\\r = 75

Thus rate of interest is 75 % per year

5 0
3 years ago
What value should replace the "?" to make the equations parallel?
Otrada [13]
The same slope would make the equations parallel. Therefore 5/3 would make them parallel.
8 0
3 years ago
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