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coldgirl [10]
2 years ago
14

One base of a trapezoid is five times as long as the other. The height is the average of the two bases. The area is 441 square u

nits. Find the length of the longer base.
Mathematics
1 answer:
Gelneren [198K]2 years ago
4 0

Answer:

The length of the longer base he 35 units

Step-by-step explanation:

Here, we want to find the length of the longer base of the trapezoid

Mathematically, we can find the area using the formula;

1/2( a + b) h

where a is the shorter base

b is the longer base

h is the height

Let the shorter base be x

The other base is 5 times this length and that makes 5 * x = 5x

Height is the average of both bases;

(x + 5x)/2 = 6x/2 = 3x

Substituting these in the formula, we have ;

1/2(x + 5x)3x = 441

3x(6x) = 882

18x^2 = 882

x^2 = 882/18

x^2 = 49

x^2 = 7^2

x = 7

But the longer base is 5x and that will be 5 * 7 = 35 units

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61.0

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A student divided 10 meters of wire into 6 equal parts. Which type of number describes the length of each part?
Kobotan [32]

When 10 meters of something is divided into 6 equal parts,
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A).  Whole number . . . No, that's not a whole number

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D).  Irrational number . . . No, it's not irrational.


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An 8.0 kg block is moving at 3.2 m/s. A net force of 10 N is constantly applied on the block in the direction of its movement, u
Softa [21]

Answer:

5.02 m/s

Step-by-step explanation:

We are given that

Mass of block,m=8 kg

Initial velocity,u=3.2 m/s

Net force ,F=10 N

Distance,s=6 m

We have to find the approximate final velocity of the block.

We know that a=\frac{F}{m}

Using the formula

a=\frac{10}{8}=\frac{5}{4} m/s^2

We know that

v=\sqrt{u^2+2as}

Using the formula

v=\sqrt{(3.2)^2+2\times \frac{5}{4}\times 6}

v=5.02 m/s

8 0
2 years ago
Convert 359in^2 to square feet. round to 1 decimal place.
klemol [59]

Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.

<h3>How to apply dimensional analysis in unit conversion</h3>

In this question we need to convert a magnitude in a given unit to an <em>equivalent</em> magnitude with another unit. According to dimensional analysis, <em>unit</em> conversions are represented by the following expression:

y = A · x     (1)

Where:

  • x - Original magnitude, in square inches.
  • y - Resulting magnitude, in square feet.
  • A - Conversion factor, in square feet per square inch.

Dimensionally speaking, area is equal to the product of length and length:

[Area] = [Length] × [Length]

And a feet is equivalent to 12 inches. Now we proceed to convert the magnitude to square feet:

x = 359 in² × (1 ft/12 in) × (1 ft/12 in)

x = 359 in² × (1 ft²/144 in²)

x = 2.5 ft²

Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.

To learn more on unit conversions: brainly.com/question/11795061

#SPJ1

5 0
1 year ago
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