P(blue marble)=2/6
p(yellow marble)=1/4
p(yellow&blue marble)=2/6+1/4=1/3
582.74 square inches of glass is required to construct the tank
Step-by-step explanation:
Base dimensions= 22 x 12 inches
Volume of the fish tank = 3960 cubic inches
Volume = l x w x h
3960 = 22 x 12 x h
h = 3960 /(22 x 12)
h = 3960/462
h = 8.57 inches
The glass used = lateral surface area of the rectangular prism
= 2(lh + wl)
= 2(188.57 + 102.8)
= 2(291.37)
= 582.74 square inches
582.74 square inches of glass is required to construct the tank
The length of the arc intercepted by a central angle is the ratio of the angle to 360 degrees times the circumference. From the given values above,
S = (30° / 360°) x 2 x π x (6 ft)
S = π
The angle intercepted an arc which measures π feet. The answer is letter A.
Answer:
e = -2
Step-by-step explanation:
Well to solve for e in the following equation,
.75(8 + e) = 2 - 1.25e
We need to distribute and use the communicative property to find <em>e</em>.
6 + .75e = 2 - 1.25e
-2 to both sides
4 + .75e = -1.25e
-.75 to both sides
4 = -2e
-2 to both sides
e = -2
<em>Thus,</em>
<em>e is -2.</em>
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<em>Hope this helps :)</em>
The domain of the function in this case will be for when the denominator is different from zero:
3x ^ 2- 3 = 0
3x ^ 2 = 3
x ^ 2 = 3/3
x ^ 2 = 1
x = + / - 1
Therefore the domain of this function are all reals without including x = 1 and x = -1
