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chubhunter [2.5K]
3 years ago
14

A man from a village X on a bearing of 060 degree to a village Y which is 20km away.From Y,he travels to a village Z,on a bearin

g of 195 degree. If Z is directly east of X , calculate, correct to three significant figure the distance of Y from Z and Z from X​

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
4 0

Answer:

The distance of Y from Z is 10.4 km.

The distance of Z from X is 14.6 km.

Step-by-step explanation:

Please ask me if you do not understand my working out.

Hope this helps :)

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How do you simplify a fraction
Crazy boy [7]
To simplify a fraction, you must find a number both the numerator and denominator can be divided into, and divide. Say I have 4/6. Both numbers are divisible by 2, so I simplify the fraction to 2/3. As we can no longer divide, the fraction is in simplest form. Hope this helps!
4 0
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A grade has 81 girls and 72 boys. The grade is split into groups that have the same ratio of girls to boys as the whole grade. H
notka56 [123]

Answer:

For every 9 girls there are 8 boys!

Step-by-step explanation:

So for the box under 9 there would be 8 and the next box on top of 16 would be 18 because 2*8 is 16 and 2*9 is 18.

6 0
3 years ago
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12.what is the probability that a boy and a girl chosen randsomly will be seniors?
zhenek [66]

\frac{\textbf{1}}{\textbf{20}}

Step-by-step explanation:

Probability=\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}

Probability for a randomly chosen girl to be senior=\frac{\text{number of senior girls}}{\text{total number of girls}}

Probability for a randomly chosen girl to be senior=\frac{7}{8+11+9+7}=\frac{7}{35}=\frac{1}{5}

Probability for a randomly chosen boy to be senior=\frac{\text{number of senior boys}}{\text{total number of boys}}

Probability for a randomly chosen girl to be senior=\frac{9}{10+7+10+9}=\frac{9}{36}=\frac{1}{4}

For two independent events,

Probability for both event 1 and event 2 to take place=\text{probability of event 1} \times \text{probability of event 2}

Since choosing boys and girls is independent,

Probability for both boy an girl chosen to be senior=\text{probability for boy to be senior}\times\text{probability for girl to be senior}

Probability for both boy and girl chosen to be senior=\frac{1}{5} \times \frac{1}{4} = \frac{1}{20}

So,required probability is \frac{1}{20}

3 0
3 years ago
Find a formula for the sum of the first n even positive integers.
melisa1 [442]
So even postive integers are by defention in form 2k where k is a natural number so
let the sum of even integers to n=S
S=2(1+2+3+4+5+6+7+8+......+k-1+k
divide bith sides of equation 1 by 2
0.5S=1+2+3+4+5+...........+k-1+k
S=2(k+(k-1)+..............................+2+1)
divide both sides of equation 2 by 2
0.5S=k+k-1+..............................+2+1)
by adding both we will get
___________________________
S=(k+1)(k)
so the sum will be equal to
S=
{k}^{2}  + k
so let us test the equation
for the first 3 even number there sums will be
2+4+6=12
by our equation 3^2+3=12
gave us the same answer so our equation is correct
7 0
3 years ago
Can an absolute value equal a negative?
Montano1993 [528]
The distance of it away from zero cannot be a negative distance, distance is always positive therefor the absolute value will always be positive.

Short answer: no, absolute value is always positive

I hope this helps :)
7 0
3 years ago
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