I) -7s^2+28st+21su
II) -8c^2+20cd
Answer:
B. m∠B = 118°, a = 17, c = 18
Step-by-step explanation:
The answer choices all agree on the values of ∠B and c, so we only need to compute the value of side a.
We can verify angle B is ...
∠B = 180° -30° -32° = 118°
By the law of sines, ...
a/sin(A) = b/sin(B)
Multiplying by sin(A), we get ...
a = b·sin(A)/sin(B) = 30·sin(30°)/sin(118°) ≈ 16.98855
a ≈ 17.0 . . . units . . . . . matches choice B
__
If you like, you can also verify side c:
c = b·sin(C)/sin(B) = 30·sin(32°)/sin(118°) ≈ 18.00512
c ≈ 18.0 . . . units
Answer:
Correct answer is
Step-by-step explanation:
As per the given diagram, we know the following details:
Height of the triangular pyramid is <em>14m</em>.
<em>Side of base</em> = <em>10m
</em>
Height of Triangular base = <em>8.7m</em>
Formula for <em>surface area of triangular pyramid</em>:

(Triangular base is shown in the dotted lines in the question figure.
The other 3 triangles are the side triangles.)
We know that,


Hence correct answer is
.
Answer:
10 x 20
Step-by-step explanation:
it's 10 on the side of the shaded area, and 20 on the opposing side, so in this case, it must be 10 x 20 = 200.
hope it helps