Answer:
Step-by-step explanation:
(2.3x10^1)(7x10^6) = (2.3 * 7)(10^1*10^6) = 16.1*10^7
The surface area of the composite figure is 144 square cm after calculating separately.
<h3>What is a triangular prism?</h3>
When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.
We have a composite figure made up of a triangular prism and a cuboid
First we calculate the surface area of the triangular prism:
= 2(area of one triangle) + area of three rectangles
= 2[(1/2)6×4] + 3×5 + 3×5
= 24 + 15 + 15
= 54 square cm
Surface area of rectangle(with three faces) = 2(4×3 + 4×6) + 3×6
= 2(12 + 24) + 18
= 72 + 18 = 90 square cm
Total surface area of figure = 54+ 90 = 144 square cm
Thus, the surface area of the composite figure is 144 square cm after calculating separately.
Learn more about triangular prisms here:
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Answer:
Graphing Systems of Linear Inequalities
To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. ...
If the inequality is strict ( < or > ), graph a dashed line. ...
Finally, pick one point that is not on either line ( (0,0) is usually the easiest) and decide whether these coordinates satisfy the inequality or not.
Equation for perimeter is 2L +2W
perimeter of the lot is 390 ft
so we have 390 = 2L +2w
divide all terms by 2:
195 = L + W
rewrite this as L = 195-W ( eq.1)
cost of fence for the length = 36 per foot so we have 36L
cost of fence for width = 6 per foot so we have 6W
the fence was 1 length and 2 sides
so we have 36l + 6w +6w = total cost
total cost is 4980
so we have 4980 = 36L + 6w +6w
combine like terms:
4980 = 36L +12w
replace L with eq1 from above:
4980 = 36(195-w) +12w
distribute:
4980 = 7020 -36w +12w
combine like terms:
4980 = 7020-24w
subtract 7020 from both sides:
-2040 = -24w
divide both sides by -24:
-2040 / -24 = 85
width = 85 feet
using eq1 L = 195 - 85
Length = 110 feet
lond = 110 feet
short = 85 feet
Answer:
<u>$5.64 </u>
Step-by-step explanation:
to find the solution, first we need to find the rate per oz. For 5 ounces it is 2.35 so to find the rate per oz we need to find the solution to 2.35/5
tea leaves sell at a rate of 47 per oz
Now to find how many Taylin needs for 12 oz of tea we simply multiply .<em>47</em> by 12
0.47 x 12=5.64
Taylin needs $5.64 to buy 12 ounces of tea leaves