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Musya8 [376]
3 years ago
6

16 min left need help asap

Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer: XD < XY

Step-by-step explanation:

Since, By the exterior angle property,

\angle DXY + \angle DYX = 98^{\circ}

Since, given, \angle DXY = 46^{\circ}

Therefore, 46^{\circ} + \angle DYX = 98^{\circ}

\angle DYX = 52^{\circ}

Now, \angle YDX = 180^{\circ}-98^{\circ}= 82^{\circ} ( by the property of linear angles )

Thus,  \angle DYX < \angle YDX

Since, In a triangle, the opposite side of largest angle is always greater than that of smallest angle.

⇒ XD < XY

Hence, Option C is correct.

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8 0
4 years ago
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Kay [80]

Answer:

\boxed{\text{1172 in}^{2}}

Step-by-step explanation:

SA = SA(prism) + SA(cylinder) – 2SA(cylinder base)

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The formula for the surface area of a rectangular prism is

S = 2(lw + lh + wh)

Data:  

 l = 16 in

w = 11  in

h = 11  in

Calculations:

2(Top + Bottom) = 2lw  = 2 × 16 × 11 = 352 in²

 2(Front + Back) = 2lh   = 2 × 16 × 11 = 352 in²

   2(Left + Right) = 2wh = 2 × 11 × 11  = <u>242 in² </u>

                                        Total area =  946 in²

2. Surface area of cylinder

A = A(top) + A (base) + A(side)  = 2A(base) + A(side)

Data:

d = 8 in

h = 9 in

Calculations:

r = ½d  = ½ × 8 = 4 in

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3. Excluded area

Excluded area = 2A(base) = 100.48 in²

4. Total area  

A = 946 + 326.56 - 100.48 \approx \boxed{\textbf{1172 in}^{2}}

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Bezzdna [24]
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===========================================================

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