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3 years ago

8

A recipe called for the ratio of sugar to four to be 10:3.if you used 70 ounces of sugar how many Ounces of sugar what do you ne

ed to use.

2 answers:

astraxan [27]3 years ago

8 0

Assuming that the question is supposed to say "how many many ounces of flour do you need to use," the answer would be 21 ounces.

The way that I would go about solving this problem would be using cross multiplication.

To do this you do the following:

$\frac{10}{3} = \frac{70}{x}$
10x = 3(70)
10x= 210
10x/10 = 210/10
x= 21

sleet_krkn [62]3 years ago

4 0

21 is needed to complete the ratio

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Given that cot θ = 1/√5, what is the value of (sec²θ - cosec²θ)/(sec²θ + cosec²θ) ?

Bogdan [553]

Step-by-step explanation:

$\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}$

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$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}$

$\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}$

$\mathsf{\implies \dfrac{\dfrac{sin^2\theta - cos^2\theta}{sin^2\theta.cos^2\theta}}{\dfrac{sin^2\theta + cos^2\theta}{sin^2\theta.cos^2\theta}}}$

$\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}$

Taking sin²θ common in both numerator & denominator, We get :

$\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}$

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$\mathsf{\implies \dfrac{1 - \left(\dfrac{1}{\sqrt{5}}\right)^2}{1 + \left(\dfrac{1}{\sqrt{5}}\right)^2}}$

$\mathsf{\implies \dfrac{1 - \dfrac{1}{5}}{1 + \dfrac{1}{5}}}$

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$\mathsf{\implies \dfrac{2}{3}}$

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2 years ago

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3 years ago

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jarptica [38.1K]

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Step-by-step explanation:

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2 years ago

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Troyanec [42]

<h3><u>Question:</u></h3>

The rectangle below has an Área of x^2 + 11x + 28 square meters and a length of x+7 meters. What expression represents the width of the rectangle?

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<h3><u>Solution:</u></h3>

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2 years ago