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2 years ago

A 33-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 37-m.

Mathematics

1 answer:

Kipish [7]2 years ago

7 0

Answer:

$\sqrt{280}$ = 2 $\sqrt{70}$

37^2 = 1369

33^2 =1089

1369-1089 = 280

Step-by-step explanation:

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Find the surface area of the triangular prism. 15.6 cm 10 cm 11 cm 12 cm

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Answer:

533.6cm²

Step-by-step explanation:

Hello!

I'm here to answer your question!

Area of each triangular base:

$\frac{1}{2}(12)(10)=60$

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$60+60+132+171.6+110=533.6$

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16^5/4•16^1/4/(16^1/2)^2

Kazeer [188]

Answer:

The simplified expression is 16^-1/6

Step-by-step explanation:.

16^5/4•16^1 /4/ (16^1/2)^2

The dot means multiplication. The expression is rewritten as

16^5/4 × 16^1/4 / (16^1/2)^2

Recall the following rules of indices

1) y^a × y^b = y^(a+b)

2) (y^a)^b = y^ab

y^b/ y^a = y^(b-a)

Applying these rules of indices

16^5/4 × 16^1/4= 16^((5/4×1/4) = 16^((5/16)

(16^1/2)^2= 16^ 1/2×2 = 16^1 = 16

Therefore

16^5/4 × 16^1/4 / (16^1/2)^2

= 16^(5/16) /16

=16^(5/6) × 16^-1

= 16^ (5/6)-1

= 16^-1/6)

,The simplified expression is 16^-1/6

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