Answer:
tan(C) = √3/√2
Step-by-step explanation:
First, using Pythagorean Theorem, find AC.
=> AC = √(3√5)² - (3√3)²
=> AC = √45 - 27
=> AC = √18
=> AC = 3√2
tan C = 3√3/3√2
= √3/√2
So we know that 3,4 and 5 are pythagorean triplet and these result from a right triangle sides length
- than 3,4 and 5 mean right triangle so 2,5 and 4 mean acute triangle sure or you can prove it in this way too
- than 3^2 +4^2 =5^2 => a right triangle so than
2^2 +4^2 < 5^2 => an acute triangle
hope helped
Answer:
domain is all real numbers
range is y is less than or equal to 1 (it is a downward parabola)
Answer:
(a). <em>y = 3x - 11 ;</em> (b). <em>y = </em>
<em> x - 1 </em>
Step-by-step explanation:
Parallel lines have the same slopes
Slopes of perpendicular lines are opposite reciprocals.
(3, - 2)
The slope of given line is 3
<em>(a)</em>. Equation of ║ line is
y + 2 = 3(x - 3)
<em>y = 3x - 11</em>
<em>(b).</em> Slope of perpendicular line is
y + 2 = (x - 3)
<em>y = </em><em> x - 1</em>
Using the diagonal dimension and the height we can solve for the diameter of the cylinder using the Pythagorean theorem.
x^2 + 9.5^2 = 19.3^2
x^2 + 90.25 = 372.49
x^2 = 372.49 - 90.25
x^2 = 282.24
x = √282.24
x = 16.8
Now we know the diamteer and height, we can calculate the volume using the formula V = pi * r^2 * h
r = 1/2 the diameter = 16.8/2 = 8.4
using 3.14 for pi
Volume = 3.14 * 8.4^2 * 9.5
V = 3.14 * 70.56 * 9.5
v = 3.14 * 670.32
v = 2104.8 cubic meters
