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PolarNik [594]
3 years ago
14

In the proportion 2:3 = 16:24 ,the product of the two middle values is __.

Mathematics
1 answer:
klio [65]3 years ago
4 0

Answer:

48 and 48

Step-by-step explanation:

product means multiplication

two middle values are 3 and 16

3*16 = 48

two outside values are 2 and 24

2*24 = 48

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Cot^2x csc^2x + 2 csc^2x –cot^2 = 2
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Answer:

x = π/2 + πk

Step-by-step explanation:

cot² x csc² x + 2 csc² x − cot² x = 2

Multiply both sides by sin² x:

cot² x + 2 − cos² x = 2 sin² x

Add cos² x to both sides:

cot² x + 2 = 2 sin² x + cos² x

Pythagorean identity:

cot² x + 2 = sin² x + 1

Subtract 1 from both sides:

cot² x + 1 = sin² x

Pythagorean identity:

csc² x = sin² x

Multiply both sides by sin² x:

1 = sin⁴ x

Take the fourth root:

sin x = ±1

Solve for x:

x = π/2 + 2πk, 3π/2 + 2πk

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x = π/2 + πk

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4 years ago
Ace Landscape buys 100 shovels for $15 each. Ace sells all 100 shovels at $29.99. What is his profit?
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$29.99=$30
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7 0
3 years ago
When Akiko measured a rose, its height was 5.8 in. After 10 weeks, the height was 1 1/3 times the original height. What was the
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3 years ago
R=P over I squared. Solve for I.
kirza4 [7]

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Step-by-step explanation:

R=p/I^2

Multiple l squared on both sides...

(I^2) R=p/l^2 (l^2)

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Separate I by dividing both sides by R...

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6 0
3 years ago
Read 2 more answers
Help me with this problems ​
ale4655 [162]

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its easy

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