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Helga [31]
2 years ago
12

The width of a rectangle is the length minus 5 units. The area of the rectangle is 6 units. What is the width, in units, of the

rectangle?
Mathematics
1 answer:
kifflom [539]2 years ago
6 0

Width of the rectangle is 1 unit

Step-by-step explanation:

  • Step 1: Let the length of the rectangle be x. Then the width = x - 5. Find dimensions of the rectangle if its area = 6 sq. units

Area of the rectangle = length × width

6 = x (x - 5)

6 = x² - 5x

x² - 5x - 6 = 0

x² - 6x + x - 6 = 0 (Using Product Sum rule to factorize)

x(x - 6) + 1(x - 6) = 0

(x - 6)(x + 1) = 0

x = -1, 6 (negative value is neglected)

x = 6 units

x - 5 = 1 unit

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A cylindrical can contains an unknown number of golf balls. The can has a height of 10 inches and a volume of 15.625 Pi inches c
AlladinOne [14]

20 golf balls can fit in the can.

<u>Step-by-step explanation:</u>

Given:

Height (h) = 10 Inches

Volume of 15.625 Pi inches cube.

To Find:

How many balls can be filled in that can.

Solution:

Diameter of the golf ball [as per standard value] = 1.68 in

Radius of the golf ball = \frac{1.68}{2}  = 0.84 in

Volume of the golf ball = \frac{4\pi r^3}{3}

                                      = \frac{4\pi (0.84)^3}{3}

                                       = 2.5  (or)   0.79 \pi inches

Volume of the can = 15.625\pi  in^3

Now we have to divide the volume of the can by the volume of the golf ball, we will get =  \frac{15.625 \pi }{0.79\pi } = 19.7 balls

Thus we can conclude that approximately 20 balls can be filled in that can.

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3 years ago
Please help me 20 points
Schach [20]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
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Rudiy27

Answer:

Step-by-step explanation:

A scalar is a constant value that is multiplied throughout a matrix.

e.g.

In number 1 the set up would look like this

3 * \left[\begin{array}{ccc}3&-1&5\\2&1&-4\\-6&3&2\end{array}\right]

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3 years ago
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Klio2033 [76]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Find the missing dimension of each triangle described Height: 7 in., area: 21 in2
leonid [27]
The basic dimensions of any triangle are its area, base, and height.
They're related by the area equation; the area is half of the base times the height, or:
A=\frac{1}{2} b h
We know the area and the height, so the missing dimension has to be the base. Let's set up an equation by substituting the values the problem gives into the area equation.
21=\frac{1}{2} \cdot b \cdot 7
Can you solve this equation for b?
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