The length of the entire tunnel is 127.88 meters by using cosine law or formulae.
Here we can use the formulae of cosine when two sides a and b and angle between then is given we can apply it.
Let us take surveyor as point A
one end of the tunnel denoted by point B
other end of the tunnel denoted by point C.
The length of AB is 101 meters
length of AC is 120 meters.
Measure of angle at point A = 42° + 28° =70°
Now lets find the length of tunnel
=
=
=
=127.88 meters.
Hence the length of the entire tunnel is 127.88 meters.
You can find more about cosine law: brainly.com/question/28135764
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Answer: See explanation
Step-by-step explanation:
Let the numbers be 2, 6, 12, 13 and 17.
From the given numbers, the mean will be:
= (2+6+12+13+17) / 5
= 50/5
= 10
The mean is 10
The median is 12 as it is the number in the middle when the values given are arranged in either ascending or descending order.
The mistake is the sign,
The sign must be switched
So therefore x > -5
Answer:
V =27cm^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 3^3
V = 3^3
V =27cm^3
Hey there. So basically, find out how much the pencils and notebooks cost first.
The notebooks cost = $3.25
The pencils cost = $0.50
Then, think about what you need to figure out in this problem.
Jake has $20. You need to find how many notebooks Jake can buy in maximum after buying 8 pencils.
If Jake buys 8 pencils that costs $0.50 each, he spends $4 on the pencils.
So now, to find out how many notebooks he can buy, do 20 minus 4.
Jake's got $16 left.
If the notebooks cost $3.25 each, we need to find out how many notebooks he can buy by dividing them. So, 16 divided by 3.25 equals 4.923... and so on.
That means, Jake can buy 4 notebooks with his remaining money.
