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3 years ago

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Mathematics

1 answer:

-BARSIC- [3]3 years ago

8 0

9514 1404 393

Answer:

width: 4 ft
length: 13 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is 3w+1 and the area is ...

w(3w+1) = 52

3w² +w -52 = 0

To factor this equation, we need factors of 3·52 = 156 that have a difference of 1. These values are 12 and 13, so we can rewrite the equation as ...

3w² +13w -12w -52 = 0

w(3w +13) -4(3w +13) = 0

(w -4)(3w +13) = 0

The positive value of w that makes a factor zero is ...

w = 4

Then the length is 3w+1 = 3(4) +1 = 13.

The length is 13 ft; the width is 4 ft.

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Please help!?

Alex787 [66]

Answer:

x=63.25

Step-by-step explanation:

Hi there!

We're given ΔDEF with m<E=90°, m<D=49°, DE=55, and EF=x

we need to find the value of x

Let's use trigonometry to do it

Since we are given the measures of the 2 legs (the sides that make up the 90° angle), let's use tangent, specifically tan(49), since we are given the measure of that angle

Recall that tangent is $\frac{opposite}{adjacent}$

in reference to m<D (the angle that is 49°), the opposite side is EF (x) and the adjacent side is DE (55)

so tan(49)= $\frac{x}{55}$

plug tan(49) into your calculator; remember to have the calculator on degree mode

tan(49)≈1.15 (rounded to the nearest hundredth)

so that means:

1.15= $\frac{x}{55}$

multiply both sides by 55 to clear the fraction

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Hope this helps!

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3 years ago

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daser333 [38]

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a silo is shaped like a cylinderwith a cone on top. the radii of the bases of the cylinder and cone are both equal to 8 feet. th

Ymorist [56]

Answer:

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Step-by-step explanation:

Height of the cylindrical part of the cilo = 25 feet

radius of the base cylindrical part of cilo = 8 feet

Now volume of cylindrical part of cilo = $\pi r^{2} h$

Volume of cylindrical part of cilo = $\pi(8^{2})25$ = $1600\pi square feet$

Now,

Height of the conical part of cilo = 6 feet

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4 years ago