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anzhelika [568]
3 years ago
15

FIND THE LENGTH AND WIDTH OF THE RECTANGLE

Mathematics
2 answers:
insens350 [35]3 years ago
7 0
W = width
3w + 7 = length

Equation: 3w + 7 + w = 75
Combine like terms: 4w + 7 = 75
Subtract 7 to the other side: 4w = 68
Divide both sides by 4: w = 17

Width = 17
Length = 3(17) + 7, so 58
BaLLatris [955]3 years ago
6 0

Answer:

w=7  5/8

l = 29.875

Step-by-step explanation:

We have to use system of equations here

Let l be length and w be width

l = 3w+7

w=l(1/3)-7

We can use the equation:

l+w+l+w = 75

2l+2w = 75

Now we substitute l for what we said above

2(3w+7)+2w=75

6w+14+2w=75

Combine like terms

8w+14=75

Subtract 14 on both sides

8w=61

w=7  5/8

We can use what we know about the relationship of the width and the length to find the length

7  5/8 * 3 + 7 = 29.875

l = 29.875

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5 0
4 years ago
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dalvyx [7]

Answer:

13) (5x)^{-\frac{5}{4} ⇒ \frac{1}{\sqrt[4]{(5x)^5}}

15) (10n)^{\frac{3}{2} ⇒ \sqrt{(10n)^3}

Step-by-step explanation:

Given expression:

13) (5x)^{-\frac{5}{4}

15) (10n)^{\frac{3}{2}

Write the expressions in radical form.

Solution:

For an expression with exponents as fraction like

(x)^{\frac{m}{n}

the numerator m represents the power it is raised to and the denominator n represents the nth root of the expression.

For an expression with exponents as negative  fraction like

(x)^{-\frac{m}{n}

We take the reciprocal of the term by rule for negative exponents.

So it is written as:

\frac{1}{(x)^{\frac{m}{n}}}

using the above properties we can write the given expressions in radical form.

13) (5x)^{-\frac{5}{4}

⇒ \frac{1}{(5x)^{\frac{5}{4}}}   [Using rule of negative exponents]

⇒ \frac{1}{\sqrt[4]{(5x)^5}}    [writing in radical form]

15) (10n)^{\frac{3}{2}

⇒ \sqrt{(10n)^3}     [Since 2nd root is given as \sqrt{} in radical form]

3 0
3 years ago
Will mark as Brainliest...
tatiyna

Answer:

280 ft squared

Step-by-step explanation:

To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.

The total area is that of a rectangle: 30 * 15 = 450 ft squared.

Now, the shaded region is made up of a rectangle and a triangle.

- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.

- The triangle has base 12 and height 15, so using the area of a triangle formula: A=(bh)/2 (where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.

- The total shaded region is: 80 + 90 = 170 ft squared

Subtract 110 from 450: 450 - 170 = 280 ft squared.

Thus, the answer is 280 ft squared.

Hope this helps!

8 0
3 years ago
Read 2 more answers
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