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3 years ago

HELP

Mathematics

1 answer:

Aleks [24]3 years ago

3 0

Answer:

c) 6

Step-by-step explanation:

This is a straight-forward application of the Law of Cosines:

... a² = b² + c² -2bc·cos(A)

... a² = 8² +11² -2·8·11·cos(32.2°) ≈ 64 +121 -176·0.8462

... a² ≈ 36.07000

... a ≈ 6.00583

The best choice is c) 6.

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In-s [12.5K]

Answer: $1590cm^3$

Step-by-step explanation:

$V=\frac{3\sqrt{3} }{2}a^2h$

a = base

h = height

$V=\frac{3\sqrt{3} }{2}(6cm)^2(17cm)$

Solve the parentheses squared first.

$V=\frac{3\sqrt{3} }{2}(36cm^2)(17cm)$

2 and 36 can be simplied

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Rounded to the nearest whole number... $1590cm^3$

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