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3 years ago

The length of a rectangle is 4 feet more than the width. If the perimeter is 20 ft. What is the length of the rectangle?

Mathematics

1 answer:

Cloud [144]3 years ago

3 0

Perimeter: P = 2L + 2W. In this problem L = W + 4 or W = L - 4. We want L, so let's eliminate W:

P = 2L + 2(L - 4) = 20 (all measurements in feet)

Simplifying,

2L + 2L - 8 = 20, or 4L = 28 ft. Thus, L = 7 ft.

The rectangle is 7 ft long.

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For what values of x does 25 Superscript x Baseline = 5 Superscript x squared minus 3?

umka2103 [35]

For this case we have the following equation:

$25^{x} = 5^{ x^2-3}$

Rewriting we have:

$5^{2 (x)} = 5^{ x^ 2-3}\\5^{ 2x} = 5^{ x^ 2-3}$

For expressions to be equal, exponents must be equal. So:

$2x = x ^ 2-3\\x ^ 2-2x-3 = 0$

To factor, we look for two numbers that, when multiplied, result in -3 and when added, result in -2. These numbers are -3 and 1.

$(x-3) (x + 1) = 0$

Thus, the roots are:

$x_ {1} = 3\\x_ {2} = - 1$

Answer:

$x_ {1} = 3\\x_ {2} = - 1$

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3 years ago

If f(x) = 3x22, evaluate afI: ()k=1

Korolek [52]

Step 1: Write out the function given

$f(x)=3x^2-x$

Step 2: Interprete the question given

$\sum ^5_{k\mathop=1}f(\frac{k}{2})$

The question requested we find the summation of the first five terms for f(k/2), when k is 1, 2, 3, 4, and 5

Step 3: Find the expression for f(k/2)

$\begin{gathered} f(\frac{k}{2})=3(\frac{k}{2})^2-\frac{k}{2} \\ =\frac{3k^2}{4}-\frac{k}{2} \\ =\frac{3k^2-2k}{4} \end{gathered}$ $\begin{gathered} =\frac{3(1)^2-2(1)}{4}+\frac{3(2)^2-2(2)}{4}+\frac{3(3)^2-2(3)}{4}+\frac{3(4)^2-2(4)}{4}+\frac{3(5)^2-2(5)}{4} \\ =\frac{1+8+21+40+65}{4} \\ =\frac{135}{4} \\ =33.75 \end{gathered}$

Hence, the answer is 33.75

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1 year ago

What is the measure of each interior angle for a regular polygon with 36 sides please help

Mariulka [41]

I do not know because i’m not good at math

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3 years ago

I NEED HELP URGENTLY

tigry1 [53]

Answer:

30 square millimeters

Step-by-step explanation:

3 x 3 = 9

3 x 1 = 3

there are two sides with the area 9 therefore...

9 x 2 = 18

There are four sides with the area 3 therefore...

3 x 4 = 12

Therefore the suface area is

12 + 18 = 30

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