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Misha Larkins [42]
2 years ago
9

Given; D is the Midpoint of CE / Prove DE =1/2CE

Mathematics
1 answer:
aleksley [76]2 years ago
6 0

Answer:

Check explanation

Step-by-step explanation:

Here, we want to make a prove;

Mathematically , since D is the midpoint of CE

Then;

CE = CD + DE

Also, since D splits the line segment into two equal parts as the midpoint, then CD must be equal to DE

I.e CD = DE

Hence, we can express CE as follows;

CE = DE + DE

CE = 2 DE

Divide both sides by 2

CE/2 = DE

Hence; DE = 1/2 CE

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c

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If my assignment is worth 14% of my quiz weight which is 27% of my total weight what is the weight of that assignment
Nimfa-mama [501]

Answer:

3.785%

Step-by-step explanation:

Assignment is 14% of the quiz

=> Assignment = 14% of the quiz

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=> 14% of 27%

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14% of 27%

= 0.14 x 27 = 3.785%

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A street in San Francisco rises 20 feet for every 100 feet horizontally. What is the measure of the angle of elevation,
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2 years ago
Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water
galben [10]

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

         = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

7 0
3 years ago
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