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3 years ago

What is the length of the diagonal of the square shown below?

Mathematics

2 answers:

Tatiana [17]3 years ago

6 0

Answer:

sqrt(50)

Step-by-step explanation:

Since it is a right triangle, we can apply the Pythagorem Theorem.

a^2 + b^2 = c^2

25 + 25 = c^2

50 = c^2

c = sqrt(50)

yanalaym [24]3 years ago

4 0

Answer:

sqrt(50)

Hope this helps

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Which of the following is a solution to the following system of inequalities?

iren2701 [21]

Option D: $(0,3)$ is the solution to the inequalities.

Explanation:

From the given graph, we can see that the equation of the inequalities are

$y>-x+1$ and $y\leq 2 x+3$

To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities $y>-x+1$ and $$y$

Thus, we have,

Option A: $(1,-1)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies-1>0$ is not true.

$$y\leq 2 x+3 \implies -1\leq 5$ is true.

Since, only one equation satisfies the condition, the coordinate $(1,-1)$ is not a solution.

Hence, Option A is not the correct answer.

Option B: $(-4,0)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies0>5$ is not true.

$$y\leq 2 x+3 \implies 0\leq -5$ is not true.

Since, both the equations does not satisfy the condition, the coordinate $(-4,0)$ is not a solution.

Hence, Option B is not the correct answer.

Option C: $(3,-2)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies-2>-2$ is not true.

$$y\leq 2 x+3 \implies -2\leq 9$ is true.

Since, only one equation satisfies the condition, the coordinate $(3,-2)$ is not a solution.

Hence, Option C is not the correct answer.

Option D: $(0,3)$

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$ , we get,

$y>-x+1\implies3>1$ is true.

$$y\leq 2 x+3 \implies 3\leq 3$ is true.

Since, both equation satisfies the condition, the coordinate $(0,3)$ is a solution.

Hence, Option D is the correct answer.

4 0

3 years ago

0.8 divided by 0.64.

gizmo_the_mogwai [7]

IT's just a simple conversion.
.
Ok. So, when you divide with decimal places, you have two options -
.
Suck it up and divide, or move the decimal places to the right as many times as needed, until the number is a whole number.
.
Choosing to move the decimal places to the right is the easy way out...
.
So?
.
Move decimal point to the right two places in both numbers!!
.
80 and 64.
.
So what is 80/64?
.
You got it!!
.
1.25.
.
Hope I helped!!

8 0

3 years ago

Read 2 more answers

Please give question for the answer.

fenix001 [56]

Answer:

$f(x)=\sqrt[3]{x} \\a=5$

Step-by-step explanation:

$f(x)=\sqrt[3]{x} \\a=5$

3 0

2 years ago

Read 2 more answers

The distribution of heights for adult men in a certain population is approximately normal with mean 70 inches and standard devia

Allisa [31]

Answer:

The correct option is (C).

Step-by-step explanation:

Let X = heights for adult men in a certain population.

The random variable X follows a Normal distribution with mean μ = 70 inches and standard deviation, σ = 4 inches.

Compute the heights that represents the middle 80 percent of the heights as follows:

$P(x_{1}$

$P(\frac{x_{1}-\mu}{\sigma}$

$P(-z$

The value of z for the probability P (Z < z) = 0.90 is,

z = 1.282

*Use a z-table.

Compute the two heights as follows:

$-1.28=\frac{x_{1}-70}{4}\\x_{1}=70-(1.282\times 4)\\x_{1}=64.872\\x_{1}\approx 64.87$ $1.28=\frac{x_{2}-70}{4}\\x_{2}=70+(1.282\times 4)\\x_{2}=75.128\\x_{2}\approx 75.13$

Thus, the two heights which represents the middle 80 percent of the heights are 64.87 inches and 75.13 inches.

The correct option is (C).

7 0

3 years ago

Why is random sampling preferred over other methods of sampling?

Anna [14]

Answer:

Step-by-step explanation:

It's a random sample, so anyone could be sampled. Everyone has the same rate of being sampled, therefore the results are fair and equal.

5 0

3 years ago