Mathematics: Find the measure of the indicated side or angle.

Find the measure of the indicated side or angle.

quay39

25.08.2021

Given:

The given figure of a right triangle.

To find:

The length of PQ.

Solution:

In a right triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

In right triangle QRS,

$\tan S=\dfrac{QR}{RS}$

$\tan (31+12)^\circ=\dfrac{QR}{6.3}$

$\tan 43^\circ=\dfrac{QR}{6.3}$

$0.932515\times 6.3=QR$

5.8748445=QR

In right triangle PRS,

$\tan PSR=\dfrac{PR}{RS}$

$\tan 31^\circ=\dfrac{PR}{6.3}$

$0.60086\times 6.3=PR$

3.785418=PR

Now,

PQ=QR-PR

PQ=5.8748445-3.785418

PQ=2.0894265

$PQ\approx 2$

Therefore, the measure of PQ is 2 cm.

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dessyrob05

01.04.2020

Step-by-step explanation:

In this problem, we need o find the rate in cups of lime juice per cup of yogurt.

It is given that, a salad dressing recipe includes 4/5 cup of lime juice for every 2 cups of Greek yogurt. Its rate is given by :

$R=\dfrac{\dfrac{4}{5}\ \text{cups of lime juice}}{2\ \text{cups}}\\\\R=\dfrac{4}{5}\times 2\\\\R=\dfrac{8}{5}\ \text{cups of lime juice per cup}$

Hence, the rate is 8/5 cups of lime juice per cup.

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