Answer:
12/13
Step-by-step explanation:
We know that cosine is the adjacent side divided by the hypotenuse in a right triangle.
The adjacent side to angle C is BC
The hypotenuse is AC because it is opposite to the right angle
So...
cosine is (BC)/(AC)
36/39
12/13
Answer:
10.5 : 12 : 13.5
Step-by-step explanation:
7:8:9
We need to get 8 to 12
12/8 = 3/2
We need to multiply each number by 3/2
7 * 3/2:8* 3/2 :9*3/2
21/2 : 12 : 27/2
10.5 : 12 : 13.5
Answer:
440 miles
Step-by-step explanation:
miles ÷ gallons
132 ÷ 6 = 22
22 miles per gallon
22 × 20 = 440
Answer:
the slope is 1
Step-by-step explanation:
(a) If the particle's position (measured with some unit) at time <em>t</em> is given by <em>s(t)</em>, where

then the velocity at time <em>t</em>, <em>v(t)</em>, is given by the derivative of <em>s(t)</em>,

(b) The velocity after 3 seconds is

(c) The particle is at rest when its velocity is zero:

(d) The particle is moving in the positive direction when its position is increasing, or equivalently when its velocity is positive:

In interval notation, this happens for <em>t</em> in the interval (0, √11) or approximately (0, 3.317) s.
(e) The total distance traveled is given by the definite integral,

By definition of absolute value, we have

In part (d), we've shown that <em>v(t)</em> > 0 when -√11 < <em>t</em> < √11, so we split up the integral at <em>t</em> = √11 as

and by the fundamental theorem of calculus, since we know <em>v(t)</em> is the derivative of <em>s(t)</em>, this reduces to
