First subtract 2 revolutions from the - 840 :- (- (840-720) = -120
This gives sin -120 which is in the 3rd quadrant of the unit circle
sin -120 = - sin 60 = - sqrt3/2
Answer:
y = x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 3x + 13 is in this form
with m = - 3
Given a line with slope m then the slope of a line perpendicular to it is
= - = - =
y = x + c ← is the partial equation
To find c substitute (6, 10) into the partial equation
10 = 2 + c ⇒ c = 10 - 2 = 8
y = x + 8 ← equation of line
As the question is written, the <em>correct answer</em> is:
19519.
Explanation:
Our question states
y = 143.3(5)² + 1823.3(5) + 6820
To evaluate this, we use the order of operations (PEMDAS). There is nothing to be evaluated in parentheses, so P is taken care of.
The E part, exponents, is 5². This is 25, which gives us:
y = 143.3(25) + 1823.3(5) + 6820
Next we have M and D, multiplication and division (in the order they appear). Our multiplication is:
143.3(25) = 3582.5; and
1823.3(5) = 9116.5.
This gives us:
y = 3582.5 + 9116.5 + 6820
Lastly, we add these:
y = 12699 + 6820
y = 19519
Pyramid Surface Area = (½ * Perimeter of Base * Slant Height) + Base Area
Pyramid Surface Area = (.5 * 56 * 11) + 14 * 14Pyramid Surface Area = 308 + 196Pyramid Surface Area =504 square millimeters
Source:http://www.1728.org/volpyrmd.htm