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dolphi86 [110]
3 years ago
12

A pattern follows the rule "Starting with two, every consecutive line has a number one more than the previous line."

Mathematics
1 answer:
mars1129 [50]3 years ago
3 0
There will be eight marbles on the 9th line
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Solve for the unknown in the following diagram. Round the answer to two decimal places.<br>in<br>​
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Answer:

172.27 in

Step-by-step explanation:

Apply the Sine Rule

Sine Rule is given as:

\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}

c = x = ?

C = 180 - (52 + 48) = 80° (sum of triangle)

b = 130 in.

B = 48°

Plug in the values

\frac{130}{sin(48)} = \frac{x}{sin(80)}

Multiply both sides by sin(80)

\frac{130*sin(80)}{sin(48)} = x

172.274641 = x

x = 172.27 in. (to 2 decimal places)

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2 years ago
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Factor 21x^3 y^2 – 3x^2y + 75x^4
malfutka [58]
The greatest common factor is 3x². The rest doesn't factor.
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81 is the correct answer

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