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2 years ago

Ed bought 20 cupcakes 30% chocolate and the rest vanilla how many of each cupcake did he buy?

Mathematics

2 answers:

babymother [125]2 years ago

7 0

Answer:

he bought 6 chocolate and 14 vanilla !

Step-by-step explanation:

kykrilka [37]2 years ago

7 0

Answer:

Step-by-step explanation:

30% of 20 is 6, but since we are trying to find the number of vanilla cupcakes we take the total original number (which was 20), and subtract 6 (the number of chocolate cupcakes). ANSWER- 14

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If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___ and tan(θ) =___.

Answer:

$Sin\theta = \frac{-15}{17}$

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Step-by-step explanation:

Given

cos(θ) =-8/17

Required

sin(θ) = __

tan(θ) =__

The first step is to determine the length of the third side

Given that

$cos(\theta) = \frac{Adj}{Hyp}$

Where Adj and Hyp represent Adjacent and Hypotenuse

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$Adj = -8\ and\ Hyp = 17$

Using Pythagoras

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By Substitution

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$289 - 64 = 64 - 64 + Opp^2$

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$\sqrt{225} = \sqrt{Opp^2}$

$\sqrt{225} = Opp$

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$Opp = 15$

The question says that sin(θ) is negative; This implies that θ is in the third quadrant and as such

$Opp = -15$

From trigonometry

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$Sin\theta = \frac{-15}{17}$

Also from trigonometry

$Tan\theta = Sin\theta / Cos\theta$

$Tan\theta = \frac{-15}{17} / \frac{-8}{17}$

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$Tan\theta = \frac{15 * 17}{17 * 8}$

$Tan\theta = \frac{15}{8}$

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