By using trigonometric relations, we will find that:
sin(θ) = (√33)/7 = √(33/49)
<h3>How to find the value of the sine?</h3>
Remember that for a right triangle, we have the relations:
cos(a) = (adjacent cathetus)/(hypotenuse)
sin(a) = (opposite cathetus)/(hypotenuse).
Here we know that:
cos(θ) = 4/7
Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.
opposite cathetus = √(7^2 - 4^2) = √33
Then we can write:
sin(θ) = (√33)/7 = √(33/49)
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Answer:
The amplitude is 
Step-by-step explanation:
Let f(x) be a sinusoid function that has the following format:

Then b is the amplitude of the function
h is the vertical displacement of the wave
s is the phase angle
is the period.
In this problem 
Then 
Therefore the amplitude of the function is 
The amplitude is a measure of the vertical size of the sinx wave
1. To find the length of the edge, you will divide the total distance of 36 cm between the 4 edges that are shown.
36/4 = 9 cm per edge.
2. To find the surface area, find the area of one square (9 cm x 9 cm = 81 square cm), and multiply it by 6.
81 square cm x 6 = 486 square cm
486 square cm is the surface area.
Answer:
i BELIEVE ITS
Step-by-step explanation:
5 [13 + 10 = (3 + 2)] + 9 x 2
65+50=25+18
115=43
First we need to factor the left side. Since it is a perfect square (as is the process with completing the square, we know we can take half of the middle number along with x to be in the two parenthesis.
(x - 4)(x - 4) = 25
Now we simplify to show it as a square.
(x - 4)^2 = 25
Next we take the square root of both sides
x - 4 = +/- 5
Note that we have plus or minus 5. This is because either square would give us positive 25. Now we add 4 to both sides
x = 4 +/- 5
4 + 5 = 9
4 - 5 = -1