Answer:
Q5: S.A = 216 cm²
Q6: S.A = 254 cm²
Step-by-step explanation:
Q5:
Surface area of a cube = 6a²
a = 6 cm
Plug in the value of a
Surface area of the cube = 6(6²)
= 6(36)
S.A = 216 cm²
Q6:
Given:
Length (L) = 9 cm
Width (W) = 4 cm
Height (H) = 7 cm
Required:
Surface area
Solution:
Surface area of the rectangular prism = 2(LW + LH + HW)
Plug in the values
S.A = 2(9*4 + 9*7 + 7*4)
= 2(36 + 63 + 28)
= 2(127)
S.A = 254 cm²
9. ¹/₃(x + 6) = 8
¹/₃(x) + ¹/₃(6) = 8
¹/₃x + 2 = 8
<u> - 2 - 2</u>
3 · ¹/₃x = 6 · 3
x = 18
15. ¹/₅(x + 10) = 6
¹/₅(x) + ¹/₅(10) = 6
¹/₅x + 2 = 6
<u> - 2 - 2</u>
5 · ¹/₅x = 4 · 5
x = 20
20. ¹/₈(24x + 32) = 10
¹/₈(24x) + ¹/₈(32) = 10
3x + 4 = 10
<u> - 4 - 4</u>
<u>3x</u> = <u>6</u>
3 3
x = 2
32. 5 - ¹/₂(x - 6) = 4
5 - ¹/₂(x) - ¹/₂(-6) = 4
5 - ¹/₂x + 3 = 4
5 + 3 - ¹/₂x = 4
8 - ¹/₂x = 4
<u>- 8 - 8</u>
-2 · (-¹/₂x) = -4 · (-2)
x = 8
33. ²/₃(3x - 6) = 3
²/₃(3x) - ²/₃(6) = 3
2x - 4 = 3
<u> + 4 + 4</u>
<u>2x</u> = <u>7</u>
2 2
x = 3¹/₂
Answer:
8
Step-by-step explanation:
volume of cube=l×w×h
in a cube all this are equal so volume=l³
512=l³
cube root on both sides leaves
∛512=l
l=8
2) C: 4+d
3) A: x-3
4) C: 5(1-f)
I know that this is a few weeks late...
but hope this helps!
<h3>
Answer: 50</h3>
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Explanation:
We simply multiply the two values given to us
600*(1/12) = 600/12 = 50
We expect about 50 bulbs to be defective.
Note how if we had 50 bad bulbs, then 50/600 = (1*50)/(12*50) = 1/12 of the batch of 600 bulbs is defective.