Answer:
120 cm³
Step-by-step explanation:
V = (1/3)×base area×height
= (1÷3)×(4×9)×10
=120
Slope = (-6 - 3)/(1+2) = -9/3=-3
y - 3 = -3(x +2)
y - 3 = -3x - 6
3x + y = -3
answer is 3x + y = -3 (third one)
Answer:
Step-by-step explanation:
128 divided 2 times X or 128/2 * X
then
128/2 * 5
Answer:
x = 9
Step-by-step explanation:
Let's solve your inequality step-by-step.
4x>36
Step 1: Divide both sides by 4.
4x
4
>36
4
x>9
<u>sorry, I got the text jammed up</u>
<span> sin20 * sin40 * sin60 * sin80
since sin 60 = </span><span> √3/2
</span>√3/<span>2 (sin 20 * sin 40 * sin 80)
</span>√3/<span>2 (sin 20) [sin 40 * sin 80]
</span>
Using identity: <span>sin A sin B = (1/2) [ cos(A - B) - cos(A + B) ]
</span>√3/<span>2 (sin 20) (1 / 2) [cos 40 - cos 120]
</span>√3/4<span> (sin 20) [cos 40 + cos 60]
</span>
Since cos 60 = 1/2:
√3/4<span> (sin 20) [cos 40 + (1/2)]
</span>√3/4 (sin 20)(cos 40) + √3/8<span> (sin 20)
</span>
Using identity: <span> sin A cos B = 1/2 [ sin(A + B) + sin(A - B) ]
</span>√<span>3/4 (1 / 2) [sin 60 + sin (-20)] + </span>√3/8<span> (sin 20)
</span>
Since sin 60 = √3/<span>2
</span>√3/8 [√3/2 - sin 20] + √3/8 (sin 20)
3/16 - √3/8 sin 20 + √3/8<span> sin 20
</span>
Cancelling out the 2 terms:
3/16
Therefore, sin20 * sin40 * sin60 * <span>sin80 = 3/16</span>
