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:
19.74% of temperatures are between 12.9°C and 14.9°C
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
What proportion of temperatures are between 12.9°C and 14.9°C?
This is the pvalue of Z when X = 14.9 subtracted by the pvalue of Z when X = 12.9.
X = 14.9
has a pvalue of 0.2420
X = 12.9
has a pvalue of 0.0446
0.2420 - 0.0446 = 0.1974
19.74% of temperatures are between 12.9°C and 14.9°C
Answer:
35%
Step-by-step explanation:
40%+25%=65%
100%-65%=35%
The shapes below that have a constant cross-section between a pair of faces are cylinder, cube, sphere, hexagonal, and prism.
<h3>What is the definition of geometry?</h3>
It is concerned with the geometry, region, and density of various 2D and 3D shapes.
A cylinder is a closed solid with two parallel circular bases and a curving surface connecting them.
The shapes have a constant cross-section between a pair of faces like a cylinder.
Hence,cylinder, cube, sphere, hexagonal, and prism are the forms below that have a constant cross-section between a pair of faces.
To learn more about geometry, refer to brainly.com/question/7558603.
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1 integers
2 rational
3 whole numbers
4 real numbers
