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2 years ago

Can you find both the value of x and y? It is a 30-60-90 triangle

Mathematics

1 answer:

Juli2301 [7.4K]2 years ago

3 0

Answer:

x = 8*root3

y = 16

Step-by-step explanation:

You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:

the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!

Another shortcut:

The longer leg is the shorter leg × root3.

This ALWAYS works on 30°-60°-90° triangles.

So on your triangle, the short side is 8, that means the longer leg is 8×root3.

ta-daaaa!

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Vedmedyk [2.9K]

Maximum number of smoothies that Erica can make with the yogurt is 5

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

Given that Eric has $1\frac{5}{9}$ cups of yogurt to make smoothie

Each smoothie uses $\frac{1}{3}$ of a cup of yogurt

To find: maximum number of smoothies that Erica can make with the yogurt

Let 'n' be the number of smoothies that Erica can make with the available yogurt

number of smoothies that Erica can make with the yogurt is calculated by divinding the total available cups of yogurt by cups of yogurt needed for one smoothie

<em><u>Therefore we get:</u></em>

$n=\frac{\text { total available cups of yogurt }}{\text { cups of yogurt needed for one smoothie }}$

total available cups of yogurt = $1\frac{5}{9} = \frac{9 \times 1 +5}{9} = \frac{14}{9}$

cups of yogurt needed for one smoothie = $\frac{1}{3}$

Substituting the values in above formula we get,

$\begin{aligned}&n=\frac{\frac{14}{9}}{\frac{1}{3}}\\\\&n=\frac{14}{9} \times \frac{3}{1}=\frac{14}{3}=4.66 \approx 5\end{aligned}$

Thus maximum number of smoothies that Erica can make with the yogurt is 5

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Answer:

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Step-by-step explanation:

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True [87]

Answer:

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Step-by-step explanation:

There are two things to keep in mind at this point, the first is that a square has all its sides equal and the second is that the perimeter in this type of figure is the sum of all the sides.

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