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2 years ago

Solve (x + 9)^2 = 25.

Mathematics

2 answers:

m_a_m_a [10]2 years ago

7 0

Answer:

if x + 9 = 5 then x = -4

if x + 9 + -5 then x = -14

Step-by-step explanation:

I dont know how to explain it.

But it was right on ingenuity

Katena32 [7]2 years ago

6 0

if x + 9 = 5 then x = -4

if x + 9 + -5 then x = -14

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Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss

egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x------> size of the event space

y-----> size of the sample space

$P=\frac{x}{y}$

In this problem

<em>The probability of choose a blue card is </em>

$x=7$

$y=7+4+6+8=25$

substitute

$P=\frac{7}{25}$

<em>The probability of choose a green card is </em>

$x=4$

$y=7+4+6+8=25$

substitute

$P=\frac{4}{25}$

<em>The probability of choose a red card is </em>

$x=6$

$y=7+4+6+8=25$

substitute

$P=\frac{6}{25}$

<em>The probability of choose a yellow card is </em>

$x=8$

$y=7+4+6+8=25$

substitute

$P=\frac{8}{25}$

The sum of the probabilities of the 4 possible outcomes is equal to

$\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25}$ ----> represent the 100%

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3 years ago

Which is a true statement about the hypotenuse of a right triangle?

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Correct answer is D.

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3 years ago

The length of the diagonal of a wooden cube is 24 cm. The cube is cut into the cylinder of the

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The biggest possible volume of the cylinder will be $2089.497\hspace{1mm}\text{cm}^3$ .

<h3>What will be the diameter and height of the cylinder obtained from a cube and what are the formulas for the diagonal of a cube and the volume of a cylinder?</h3>

If a cylinder with the biggest possible volume is cut inside the cube, the height of the cylinder and the diameter of the cylinder will be equal to the side length of the cube.
For example, consider the following figure in which the cylinder is cut inside of the cube and since the side length of the cube is $x$ , the diameter and the height of the cylinder are also $x$
If the side length of a cube is $x$ unit, then its diagonal will be $x\sqrt{3}$ unit.
The formula for the volume of a cylinder is $V=\pi r^2h$ , where $r$ is the radius and $h$ is the height of the cylinder. If $d$ is the diameter, then $r=\frac{d}{2}$ .

Now, given that the diagonal of the cube is $24$ cm. So, if the side length of the cube is $x$ cm, then we must have

$x\sqrt{3}=24\\\Longrightarrow x=\frac{24}{\sqrt{3}}\\\Longrightarrow x=8\sqrt{3}$

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Therefore, the biggest possible volume of the cylinder will be $2089.497\hspace{1mm}\text{cm}^3$ .

To know more about volume, refer: brainly.com/question/1972490

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