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2 years ago

A square-shaped patio has an area of 256ft squared. What are the dimensions of the patio?

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

8 0

Answer:

all sides are 16 ft

Step-by-step explanation:

If the side length is x, the area is x²=256, hence x = √256 = 16

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What is the first step to solve the following system of equations using substitution?

Akimi4 [234]

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

$x = 4, y = 5$

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

$x - y = -1$

$2x - y = 3$

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

$x-y=-1$

Add y to both sides

$x-y+y=-1+y$

$x=-1+y$

Thus, option A) is true.

NOW LET US SOLVE THE REMAINING PORTION

$\mathrm{Subsititute\:}x=-1+y$ to solve for y

$\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}$

$-2+y=3$

$y=5$

For x = -1 + y

substitute y = 5

$x=-1+5$

$x=4$

Thus, the solution to the system of equations be:

$x = 4, y = 5$

3 0

2 years ago

The pulse rates of 174 randomly selected adult males vary from a low of 39 bpm to a high of 111 bpm. Find the minimum sample siz

Daniel [21]

Answer:

a. The sample size is approximately 97 adults

Step-by-step explanation:

The given parameters are;

The number of adults surveyed, n = 174

The lowest value of the pulse rate = 39 bpm

The highest value of the pulse rate = 111 bpm

The level of confidence used for determining the sample size = 90%

The given sample mean = 3 pm of the population mean

a. The range rule of thumb states that the standard deviation is approximately one quarter (1/4) of the range

The range = 111 bpm - 39 bpm = 72 bpm

Therefore, the standard deviation, σ = 72 bpm/4 = 18 bpm

The sample size, 'N', is given as follows;

$N = \dfrac{z^2 \cdot p \cdot q}{e^2}$

Where;

N = The sample size

z = The confidence level, 90% (z-score at 90% = 1.645)

p·q = σ² = 18² = 324

e² = 3² = 9

$N = \dfrac{1.645^2 \times 324}{3^2} = 97.4169$

Therefore the appropriate sample size, N ≈ 97 adults.

8 0

3 years ago

Complete the table for the function y=x+3 x - y 0 - 2 - 4 - 6 -

Rus_ich [418]

For each x value, add 3 to get y values.
0+3=3
2+3=5
4+3=7
6+3=9

Final answers, respectively: 3,5,7,9

7 0

3 years ago

(Ill give brainliest)

Anna007 [38]

Answer:

522

Step-by-step explanation:

3 0

2 years ago

If f(x)=x^2-11, for what values of z is f(x) < 25?

GuDViN [60]

Answer:

Step-by-step explanation:

f(x) < 25

x² - 11 < 25

x² < 36

-6 < x < 6

5 0

3 years ago