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SIZIF [17.4K]
3 years ago
11

The area of a desk top is 8 ¾ square feet. If the length is 3 ½ft., find the width.

Mathematics
1 answer:
kirill [66]3 years ago
4 0
Area is calculated as length times width.
A = lw
Is the area and length are known, then you can plug in their values and isolate w to find the width.
I find it easiest to convert to decimals rather than using mixed numbers.
<span>8 ¾ = 8.75 (area)
</span><span>3 ½ = 3.5 (length)
Now let's plug in the values.
8.75 = 3.5w
To isolate w, just divide both sides by 3.5.
8.75 / 3.5 = 2.5
This means w = 2.5.
So the width is 2.5 feet.
Now convert the decimal back to a mixed number.
2.5 = 2 </span>½

So the answer to this question is that the width is 2.5, or 2 ½.

Hope this helps!
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let (-5,-7) be a point on the terminal side of theta. find the exact values of cos theta, sec theta, and cot theta
Svet_ta [14]

a. The exact value of cosθ = -5/√74

b. The exact value of secθ = -√74/5

c. The exact value of cotθ = 5/7

<h3>How to find the trigonometric ratios</h3>

Since the terminal side of the θ is the point, (-5, -7), we need to find the length of the terminal side.

So, r = √(x² + y²) where

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So, r = √(x² + y²)

r = √((-5)² + (-7)²)

r = √(25 + 49)

r = √74

<h3>The value of the trigonometric ratio cosθ</h3>

Since the trigonometric ratio cosθ = x/r

Substituting the values of x and r into the equation, we have

cosθ = x/r

cosθ = -5/√74

So, the exact value of cosθ = -5/√74

<h3>The value of the trigonometric ratio secθ</h3>

Since the trigonometric ratio, secθ = r/x

Substituting the values of x and r into the equation, we have

secθ = r/x

secθ = √74/-5

secθ = -√74/5

So,  the exact value of secθ = -√74/5

<h3>The value of the trigonometric ratio cotθ</h3>

Since the trigonometric ratio cotθ = x/y

Substituting the values of x and y into the equation, we have

cotθ = x/y

cotθ = -5/-7

cotθ = 5/7

So,  the exact value of cotθ = 5/7

Learn more about trigonometric ratios here:

brainly.com/question/1518222

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