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3 years ago

9

Kara drew a picture of a monarch butterfly. A monarch butterfly has an average wingspan of 4 inches. In her picture, the butterf

ly had a wingspan of 22 inches. What scale did she use?

1 answer:

Artyom0805 [142]3 years ago

8 0

5.5x Scale
22/4=5.5
She drew the butterfly 5.5 times bigger than it is in real life.

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Prove identity tan 3x−tan 2x−tanx = tan 3xtan 2xtanx

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Tan ( a + b ) = [ tan a + tan b ] / [ 1 - (tan a)*(tan b) ];

let be a = 2x and b = x;

=> tan 3x = [ tan 2x + tan x ] / [ 1 - (tan 2x)*(tan x) ] => (tan 3x)*[ 1 - (tan 2x)*(tan x) ] =

tan 2x + tan x => tan3x - tan 3xtan 2xtanx = tan 2x + tan x => <span> tan 3x−tan 2x−tanx = tan 3xtan 2xtanx.</span><span />

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2 years ago

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2 years ago

Find the slope of the line passing through the points (-5,1) and (2,4).

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Answer:

<h3> $\boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{3}{7} }}}}}$ </h3>

Step-by-step explanation:

Let the points be A and B

A ( -5 , 1 ) ⇒( x₁ , y₁ )

B ( 2 , 4 )⇒( x₂ , y₂ )

<u>Findi</u><u>n</u><u>g</u><u> </u><u>the </u><u>slope</u><u> </u><u>of </u><u>the </u><u>line </u><u>passing </u><u>through</u><u> </u><u>these </u><u>Points</u>

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plug the values

⇒ $\sf{ \frac{4 - 1}{2 - ( - 5)} }$

We know that $\sf{( - ) \times ( - ) = ( + )}$

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Hope I helped!

Best regards!!

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2 years ago

The length of a rectangle is 3 more than the width fine the length if the perimeter is 98 inches

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Answer - Width 23

Length - 26

W = Width

L + 3 = Length

Perimeter = 2L = 2W

98 = 2(W + 3) + 2W

98 = 2W + 6 + 2W

98 = 4W + 6

92 = 4W

W = 92/4

W = 23

Width is 23 inches

Length is 3 more -- 23 + 3 = 26

We can double check our work:

26 + 26 + 23 + 23 = 98 Inches

Best of luck,

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3 years ago

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