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PIT_PIT [208]
2 years ago
8

Nelda needs to wrap a holiday gift box. The box is in the shape of a rectangular prism with the dimensions shown.

Mathematics
1 answer:
kari74 [83]2 years ago
8 0

Answer:

416 in²

Step-by-step explanation:

Given that:

Height. h = 4 in

Length = 12 in

Width = 10 in

The surface area of a rectangular prism is obtained using the relation :

Surface Area, S = 2(lw + lh + wh)

S = 2[(10*12) + (10*4) + (12*4))

S = 2(120 + 40 + 48)

S = 2(208)

S = 416 in²

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Find The distance between (-3,1) and (-1,6). If necessary,round to the nearest tenth.
kifflom [539]
Use distance formula:-

distance =  sqrt  [ (x2 - x1)^2 + (y2 - y1)^2) ]

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In ΔABC, AD and BE are the angle bisectors of ∠A and ∠B and DE║ AB. Find the measures of the angles of ΔABC, if m∠ADE: m∠ADB = 2
drek231 [11]

Answer:   ∠A=48°,∠B=48°,∠C=84°.


Step by-step explanation:

Given:  AD and BE are the angle bisectors  of ∠A and ∠B

i.e ∠6=∠7    ( ∵ Angles formed after  AD bisected ∠A)

∠4=∠5       ( ∵ Angles formed after  BE bisected ∠B)

Also,  DE║AB

⇒ ∠2=∠7   (∵ Alternate interior angles)

   ∠3=∠6   (∵ Alternate interior angles)

And ∠ADE : ∠ADB =∠2:∠3= 2:9 =2x : 9x     ..(1)

To Find:  ∠A,∠B,∠C.

Solution:  ∠2=∠7 (∵ Given)    ...(2)

∠2=∠4  (∵ angles on the same segment)    ...(3)

∠4=∠5 =∠B/2 (∵ Given)    ...(4)

∴ In Δ ABD

∠3+∠4+∠5+∠7 = 180 (∵ Sum of interior angles of a triangle)

From equation 2,3,4,5, Put values

9x+2x+2x+2x =180°

⇒15x = 180°

⇒x=12°

Putting values in equation (4) ⇒ ∠ B =2*(2*12) = 48°

Also, <u>∠B=∠A=48°</u>

Now,in Δ ABC

∠C+∠B+∠A= 180°

⇒48°+48°+∠C= 180°

<u><em>⇒∠C=84°</em></u>

6 0
3 years ago
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5 0
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ruslelena [56]

Answer:

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