The base of a parallelogram with the area (A) of 72 square inches and height (H) of 6 inches.

Mathematics

1 answer:

Elza [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Let's make a simple equation! It's much, much simpler than you think. Let's look closely.

<h3>Area = Base x Height</h3>

We already know the area, so we can substitute this already.

<h3>72 = Base x Height</h3>

We also know the height, 6.

We can now replace "base" as x to make it simpler to solve the equation we made!

<h3>6x = 72</h3><h3>x = 12</h3><h3 /><h2>The base of the parallelogram is 12 inches.</h2>

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katrin [286]

Answer:

The price of each hamburger is $5 and the price of each drink is $3.

Step-by-step explanation:

x --> the price of each hamburger
y --> the price of each drink
8x+4y=52
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Solve system of equations
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3 years ago

Find exact value of cos

mylen [45]

<h3>Answer: Choice B. $\frac{\sqrt{91}}{10}$ </h3>

Work Shown:

$\sin^2 \theta + \cos^2 \theta = 1\\\\\left(\frac{3}{10}\right)^2 + \cos^2 \theta = 1\\\\\frac{9}{100} + \cos^2 \theta = 1\\\\\cos^2 \theta = 1 - \frac{9}{100}\\\\\cos^2 \theta = \frac{100}{100}-\frac{9}{100}\\\\\cos^2 \theta = \frac{91}{100}\\\\\cos \theta = \sqrt{\frac{91}{100}} \ \text{ cosine positive in Q1}\\\\\cos \theta = \frac{\sqrt{91}}{\sqrt{100}}\\\\\cos \theta = \frac{\sqrt{91}}{10}\\\\$