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3 years ago

A square patio has a perimeter of (16x + 12) feet. What is the length of the patio?

Mathematics

2 answers:

Serga [27]3 years ago

7 0

The perimeter of a square is 4 times the length of its side. Therefore, the answer to this problem is 4x+3.

ozzi3 years ago

4 0

Solution:

Note that:

Squares always have equal sides and angles.
Perimeter of square patio: (16x + 12) ft.

Factorize the perimeter.

16x + 12
=> 4(4x + 3) ft.

Find the length of the patio.

4(4x + 3)/4
=> 4x + 3 ft.

The length of the square patio is 4x + 3 ft.

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What is f(x)=8x^2+4x written in vertex form

marishachu [46]

(-1/4,-1/2) this is the vertex of that function.

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3 years ago

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What is -4/3 on this? Say all that apply (5 stars and brainliest for best answer)

Aleks04 [339]

Answer:

Rational Numbers

Step-by-step explanation:

- An integer in its most simplified form cannot be a decimal nor a fraction, meaning -4/3 nor -0.75 would work.

- A whole number is a number that is either positive or negative but cannot be a decimal in simplified form. -4/3 is -1.333.... which is less than one and negative, meaning it cannot be a whole number due to it obviously being a decimal.

- -4/3 is not a natural number as it is both a decimal and negative.

- -4/3 is not irrational because it repeats when in decimal form.

- -4/3 is rational as in decimal form it repeats and to give more information, rational numbers can be both positive and negative numbers. The 3 that repeats in the decimal form of -4/3 works as a rational number due to this.

Therefore, it would apply to the first square.

Thanks!
- Eddie

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2 years ago

A cylinder shown below has a volume of 300 pi cubic inches. What is its height?

velikii [3]

The volume of a cylinder depends on both the cylinder's height and its radius.
There are an infinite number of different cylinders, all with different dimensions,
that all have 300π inches³ of volume. In order to calculate either dimension of
a cylinder, both the volume and the other dimension must be known.

We sense a high probability that the picture described as "shown below"
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3 years ago

A worker at a landscape design center uses a machine to fill bags with potting soil. Assume that the quantity put in each bag fo

defon

Answer:

a) The expected value is given by:

$E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11$

The variance is given by:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333$

And the standard deviation is just the square root of the variance and we got:

$Sd(x) = \sqrt{0.3333}= 0.5774$

b) $P(X$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}, a \leq x \leq b$

And using this function we got:

$P(X$

c) $P(X>10.5)$

And using the complement rule and the cumulative distribution function we got:

$P(X>10.5)= 1-P(X$

Step-by-step explanation:

For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:

$X \sim Unif (a= 10, b =12)$

Part a

The expected value is given by:

$E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11$

The variance is given by:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333$

And the standard deviation is just the square root of the variance and we got:

$Sd(x) = \sqrt{0.3333}= 0.5774$

Part b

For this case we want this probability:

$P(X$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}, a \leq x \leq b$

And using this function we got:

$P(X$

Part c

For this case we want this probability:

$P(X>10.5)$

And using the complement rule and the cumulative distribution function we got:

$P(X>10.5)= 1-P(X$

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4 years ago

Use the three steps to solve the problem.

Lina20 [59]

Okay, so
a=2b+11
a+b = 2(a-b) 

now solve 

a+b = 2a-2b 
3b = a, put that into the 1st equation: 

3b = 2b+11 
b=11 
a = 2(11) +11 = 33 

check in the 2nd equation: 
33+11 = 2(33-11) 
44 = 2(22) 
44 = 44

6 0

4 years ago

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