The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
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Answer: 660 cm²
Step-by-step explanation:
Surface area of a cylinder = 2πr² ± 2πrh = 2πr ( r + h )
π = 22/7
r = 6 cm
h = 11.5 cm
Lateral surface area = 2 x 22/7 x 6 ( 6 + 11.5 )
= 660 cm²
Answer: -(3 x + 5)
Simplify the following:
6 x - 9 x - 3 - 2
Grouping like terms, 6 x - 9 x - 3 - 2 = (6 x - 9 x) + (-3 - 2):
(6 x - 9 x) + (-3 - 2)
6 x - 9 x = -3 x:
-3 x + (-3 - 2)
-3 - 2 = -5:
-5 - 3 x
Factor -1 out of -3 x - 5:
Answer: -(3 x + 5)
i) The coefficients of the equation of the line are a = 20 / 3 and b = 160 / 21.
ii) The equation of the line in <em>standard</em> form is (20 / 3) · x + (160 / 21) · y = - 20.
iii) The x-intercept and y-intercept of the line are (- 3, 0) and (0, - 21 / 8).
iv) Two alternative solutions of the equation of the line are 20 · x + (160 / 7) · y = - 60 and 140 · x + 160 = 420.
<h3>How to derive the equation of a line?</h3>
In this problem we know that form of an equation of the line and two points, on which the line pass through. i) We determine the values of the coefficients a and b by solving the following system of <em>linear</em> equations:
5 · a - 7 · b = - 20
- 3 · a = - 20
Whose solution is a = 20 / 3 and b = 160 / 21.
ii) The equation of the line in <em>standard</em> form is (20 / 3) · x + (160 / 21) · y = - 20.
iii) Now we find the coordinates of the intercepts of the line:
x-Intercept
(20 / 3) · x = - 20
x = - 3
y-Intercept
(160 / 21) · y = - 20
y = - 21 / 8
iv) We can find two alternative solutions by using multiples:
20 · x + (160 / 7) · y = - 60
140 · x + 160 = 420
To learn more on equations of the line: brainly.com/question/21511618
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The next number is half of the previous number so the answer is D
