Answer:
102cm³
Step-by-step explanation:
Imagine the shape as two rectangular prisms, a small one on top of a bigger one. Find their volumes individually, and then add them together:
<u>Small rectangular prism</u>
Volume=length*width*depth
=2*3*(7-5)
=6*2
=12cm³
<u>Bigger rectangular prism</u>
Volume=length*width*depth
=6*3*5
=6*15
=90cm³
12+90=102cm³
Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915
Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412
</span>
/ 5.2915
</span>
<span><span><span>sin(B) = 0.6546571451
</span>
</span>
</span>
Angle B = 40.894 Degrees
sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees
angle C = 60 Degrees
Tap on the picture above.
Answer:
n=10
Step-by-step explanation:
-2=-n+8
-n=-10
n=10
Answer:
yes
Step-by-step explanation:
yes
