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Artemon [7]
3 years ago
11

Can someone please help me with this question ?

Mathematics
1 answer:
spayn [35]3 years ago
6 0

Answer:

  1350 square inches

Step-by-step explanation:

The area of the end trapezoid is ...

  A = (1/2)(b1 +b2)h = (1/2)(12 +36)(5) = 120 . . . . . square inches

The perimeter of the end trapezoid is ...

  P = 13 +12 +13 + 3×12 = 74 . . . . inches

so the total area of the rectangular surfaces (including the bottom) is ...

  (74 in)(15 in) = 1110 in²

The total area of the ramp is this rectangular area plus the two trapezoidal ends:

  total area = rectangle area + 2×trapezoid area

  = 1110 in² +2×120 in²

  total area = 1350 square inches

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Solve the triangle m<N= 118°, m<P= 33° and m=15. Round to the nearest tenth. Please show work.​
kirill [66]

Answer:

M = 29

27.31838095 = n

16.8511209 = p

Step-by-step explanation:

M = 180 -33-118 = 29

We can use the rule of sines

sin A          sin B           sin C

------------ = ---------- = ------------

a                  b               c

sin 118          sin 29        

------------ = ----------

n                  15              

Using cross products

15 sin 118 = n sin 29

Divide by sin 29

15 sin 118 / sin 29 = n

27.31838095 = n

sin 33          sin 29        

------------ = ----------

p                  15              

Using cross products

15 sin 33 = p sin 29

Divide by sin 29

15 sin 33 / sin 29 = p

16.8511209 = p

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Answer:

The mixed number 5 1/4 is equal to the improper fraction 21/4.

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Step-by-step explanation:

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