Answer:
B. 196 units squared
Step-by-step explanation:
The formula of a prism is V = Bh
= (1/2 bh) h
=(1/2 x 7 x 14) x 4
= (3.5 x 14) x 4
=49 x 4
= 196 units squared
I haven't did these type of questions in a while, but i think my answer is correct. Hope it helps :)
Answer:
Step-by-step explanation:
1.5(x + 4) - 3 = 4.5(x - 2)
1.5x + 6 - 3 = 4.5x - 9
1.5x + 3 = 4.5x - 9
3 + 9 = 4.5x - 1.5x
12 = 3x
12/3 = x
4 = x <======
Use the slope formula
y2-y1
m=---------
x2-x1
(rise-->y over run-->x)
so it would be
9-5
m=-------
1-10
and that would simplify to
4
----
-9
and that would be your slope.
Hope that helped :-)
Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
u.v = (8, 4).(9, -9)
u.v = 8(9)+4(-9)
u.v = 72-36
u.v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
