Answer: $20.44
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b) The length of the altitude is equal to half the length of one of the segments of the hypotenuse.
c) The length of the altitude is equal to the length of one of the segments of the hypotenuse.
d) The length of the altitude is equal to the sum of the lengths of the segments of the hypotenuse.
Answer:
Option: C is correct.
c) The length of the altitude is equal to the length of one of the segments of the hypotenuse.
Step-by-step explanation:
By the Right Triangle Altitude Theorem:
The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
From the figure we could say that:
As the hypotenuse is divided into divided into two equal parts since the altitude bisects the hypotenuse of the right triangle.
This means that:
CD=DB
Hence,
Hence, we could say that:
c) The length of the altitude is equal to the length of one of the segments of the hypotenuse.
For this case, we have that by definition, in a parallelogram, the opposite angles are congruent, that is, they are equal. So, given the measurements of two opposite angles of a parallelogram, we have:
Clearing "n":
Subtract "n" from both sides of the equation:
We subtract 30 from both sides of the equation:
Thus, the value of n is 15.
Answer:
Opposite angles in parallelogram are equal so the answer will be;
2n+30=n+45
2n-n=45-30
n=15
rope after 2 seconds. Type in your answers.
0.4m
Time (sec): 2
a) What is the amplitude of the waves? 5 pts
b) What is the wavelength of the waves? 5 pts
c) How many waves are generated in two seconds? 10 pts
d) What is the frequency of the waves? 10 pts
e) What is the period of the wave? 10 pts
Answer:
a) 0.4m
b)2m
c)2
d)1 s^-1
e) 1 s
Step-by-step explanation:
a) The amplitude of the wave is the highest vertical displacement
with respect to this question, this is 0.4m
b) The wavelength of the wave is simply the distance between two crest or troughs
In this question, this is 2m
c) The number of waves generated is 2
d) Frequency of the waves is the number of waves generated per second
if 2 waves are generated in 2 seconds
The number of waves in a second is 2/2 = 1
So the frequency is 1 s^-1
e) Period is 1/frequency
= 1/1 = 1 second