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3 years ago

A rectangular balcony has an area of 32 square feet. its perimeter is 24 feet. what are the dimensions of the balcony?

Mathematics

1 answer:

Paul [167]3 years ago

5 0

Answer:

Step-by-step explanation:

8 ft by 4 ft

8ft x 4ft = 32 ft

8ft + 8 ft = 16 ft 4 ft + 4 ft = 8 ft

16ft + 8 ft = 24 ft

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PLEASE HELP

AysviL [449]

Answer

Given expression,

$(81x^2-25)\times \dfrac{6}{18x+10}$

We have to find the value of x for which the expression is undefined.

Simplifying the given expression

$((9x)^2-5^2)\times \dfrac{3}{9x+5}$

$(9x-5)(9x+5)\times \dfrac{3}{9x+5}$

$3(9x-5)$

On solving we can see that the expression is defined for all value of x.

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3 years ago

Reza and James have started exercising together. When they started, Reza weighed 185 pounds and James weighed 180. After 10 week

olganol [36]

Inequality:
Let
x = pound/week weight loss by Reza
y = pounds/week weight loss by James

Therefore, after 10 weeks the two will weigh as follows:
Reza = 185 - 10x
James = 180 - 10y

But, Reza is said to be weighing less than James after 10 weeks. Then, the inequality will be as follows:
185 - 10x < 180 - 10y

Determination of the constraints:
Solving the inequality written above;
185 - 10x < 180 - 10y
185 - 180 < 10x - 10y
5 < 10(x-y)
0.5 < x - y

Therefore,
0.5 + y < x or x > 0.5 + y

It can be seen that, for Reza to weigh less than James after 10 week, the loss of weight by Reza must be more than half to the rate of weight loss by James.

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3 years ago

What is the value of 2.3

lora16 [44]

Answer:

2.3 = 23/10

or if its 2 x 3 then the value is

Step-by-step explanation:

7 0

3 years ago

Neporo4naja [7]

The probability that a single can will contain 11.6 ounces or less of soda is 0.2843

<h3>Probability that a can contains 11.6 ounces or less</h3>

The given parameters are:

x = 11.6

Mean = 12

Standard deviation = 0.7

Calculate the z value using:

$z = \frac{x - \bar x}{\sigma}$

This gives

$z = \frac{11.6-12}{0.7}$

z = -0.57

The probability is then calculated as:

P(x ≤ 11.6) = P(z ≤ -0.57)

Using the z table of probabilities, we have:

P(x ≤ 11.6) = 0.2843

<h3>Probability that a pack contains 11.6 ounces or less</h3>

In (a), the probability that a can contains 11.6 ounces or less is 0.2843

The probability that all cans in a pack contains 11.6 ounces or less is

P(6) = 0.2843^6

P(6) = 0.00053

<h3>Probability that a case contains 11.6 ounces or less</h3>

In (a), the probability that a can contains 11.6 ounces or less is 0.2843

The probability that all cans in a case contains 11.6 ounces or less is

P(36) = 0.2843^36

P(36) ≈ 0

<h3>Draw three normal distributions</h3>

See attachment for the normal distributions

<h3>The happening on the graph</h3>

The summary of the graph is that, as the sample size increases the probability decreases