Answer:
212m
Step-by-step explanation:
The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.
Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;
Since we have the angle theta = 45° and opposite = 150m
According to SOH;
Sin theta = opposite/hypotenuse.
Sin45° = 150/hyp
hyp = 150/sin45°
hyp = 150/(1/√2)
hyp = 150×√2
hyp = 150√2 m
hyp = 212.13m
Hence the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertical height of 150 m is approximately 212m
Answer:
80 centimeters taller
Step-by-step explanation:
First, convert Alex's height from meters to centimeters by multiplying by 100 because there are 100 centimeters in one meter to get 160 centimeters. Now multiply 160 centimeters by 1.5 to get Noah's height, 240 centimeters. Finally, since we need to find their difference in height, subtract Alex's height of 160 centimeters from Noah's height of 240 to get 80 centimeters.
gg easy
the legs of a triangle are related as
wehre a, b, and c are the legs and the hypotonuse of a triangle respectively
let's find some stuff
one easy way is to find a rational value for c find values of a and b
lets pick c=5


now split up 25 into 2 things that don't have rational square roots
if we say
and
then we get
and
(which are both irrational)
Answer:
The value is 
The probability has increased
Step-by-step explanation:
From the question we are told that
The percentage that are from outside the country is 
The percentage that logs on everyday is 
The percentage that logs on everyday that are from the inside the country is 
Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as

Where
is the percentage that are from inside that country which is mathematically represented as



And
is percentage that logs on everyday that are from the outside the country which is evaluated as




Given that the percentage that are from inside that country is 
and that the probability that a person is from the country given that he logs on the website every day is 
We see that the additional information increased the probability
Answer:

5 StartRoot 10 EndRoot
Step-by-step explanation:
we know that
The legs of a 45°-45°-90° triangle are congruent
Let
x ----> the length of one leg of the triangle
Applying the Pythagorean Theorem

where
c is the hypotenuse
a and b are the legs
we have


substitute


Simplify

5 StartRoot 10 EndRoot