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3 years ago

6

ANSWER ALL 3 FOR BRANLIEST +10 POINTS PLEASEEEE 10. Which one is the best deal: 4 shirts for $15, 6 shirts for $17, or 3 shirts

for $8?
11. A car travels 30 miles in 50 minutes. How far does the car travel per minute?
12. Tom bought 5 notebooks that each cost $2.75. How much money did he spend?

2 answers:

Marta_Voda [28]3 years ago

7 0

Answer:

1) 3 shirts for $8.

2)0.6 miles per minute

3) $13.75

umka21 [38]3 years ago

5 0

Answer:

hello

Step-by-step explanation:

i think 10.4 shirts for 15$

11. 50/30=1.6

12. 5×2.75$=13.75$

hope it helps

have a nice day

bye

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Complete the identity.<br> 1) sec^4 x + sec^2 x tan^2 x - 2 tan^4 x = ?

Alecsey [184]

Answer:

See Explanation

Step-by-step explanation:

<em>Question like this are better answered if there are list of options; However, I'll simplify as far as the expression can be simplified</em>

Given

$sec^4 x + sec^2 x tan^2 x - 2 tan^4 x$

Required

Simplify

$(sec^2 x)^2 + sec^2 x tan^2 x - 2 (tan^2 x)^2$

Represent $sec^2x$ with a

Represent $tan^2x$ with b

The expression becomes

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Factorize

$a^2 + 2ab -ab- 2 b^2$

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Recall that

$a = sec^2x$

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The expression $(a -b) (a+ 2 b)$ becomes

$(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)$

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In trigonometry

$sec^2x =1 +tan^2x$

Subtract $tan^2x$ from both sides

$sec^2x - tan^2x =1 +tan^2x - tan^2x$

$sec^2x - tan^2x =1$

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Substitute 1 for $sec^2x - tan^2x$ in $(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)$

$(1) (sec^2x+ 2 tan^2x)$

Open Bracket

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$secx = \frac{1}{cosx}$

$tanx = \frac{sinx}{cosx}$

Substitute the expressions for secx and tanx

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$(secx)^2+ 2 (tanx)^2$ becomes

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Add Fraction

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Make $sin^2x$ the subject of formula

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gregori [183]

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