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2 years ago

15

What is the solution of the linear system of equations?

1 answer:

Maksim231197 [3]2 years ago

4 0

Answer:

(-1, 1)

Step-by-step explanation:

It's where they intersect.

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The area of a circle is 100 π.what is the lenght of the side of a tegular hexagon inscribed in a circle.

yawa3891 [41]

This logic, geometric logic at that.

First find the radius of the circle.

$area = \pi {r}^{2} \\$
We find the radius by a little algebraic manipulation.

$area = \pi {r}^{2} \\ \sqrt{ \frac{area}{\pi} } = r \\ \sqrt{ \frac{100\pi}{\pi} } = r \\ radius = 10$

Answer:

The height of the hexagon is 10 units (whatever the units are, every measurement needs units). All the sides of a polygon are equal, and it's a regular hexagon, which is a polygon. It's simple thinking, mostly people get into trouble when they over think it

8 0

2 years ago

A card is drawn at random from a standard deck of 52 cards. Find the following conditional probabilities. a) The card is a diam

Inga [223]

Answer:

$a.\frac{1}{13}\\b.\frac{1}{2}\\c.\frac{1}{13}\\d.\frac{1}{13}$

Step-by-step explanation:

P(A|B) = P(A and B) / P(B)

Total number of cards = 52

a)

Let A denotes the event that the card is a diamond and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}\\=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

b)

Let A denotes the event that the card is red and B denotes the card is diamond.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{4}{52}}\\=\frac{1}{2}$

c)

Let A denotes the event that the card is nine and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

d)

Let A denotes the event that the card is a king and B denotes the card is a face card.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{4}{52}}{\frac{12}{52}}\\=\frac{1}{13}$

7 0

2 years ago

How are these two triangles related?

DerKrebs [107]

Answer: c

Step-by-step explanation:

they are similar but to be congruent they need to be the same and therefore can not touch like that

3 0

3 years ago

Mr.rodriguez invests half money in land a tenth in stocks and a twentieth in bonds he puts the remaining 35,000 in his savings a

Elena-2011 [213]

Answer: $100,000

<u>Step-by-step explanation:</u>

Land + Stocks + Bonds + Savings = 100%

$\dfrac{1}{2}x$ + 0.1x + $\dfrac{1}{20}x$ + 35,000 = 1.00x

= 0.5x + 0.1x + 0.05x + 35,000 = 1.00x

= 0.65x + 35,000 = 1.00x

35,000 = 0.35x

$\dfrac{35,000}{0.35}=\dfrac{0.35x}{0.35}$

100,000 = x

3 0

3 years ago

Read 2 more answers

Convert 3,250 mL to L.<br><br> 3.25 L<br> 0.325 L<br> 3,250,000 L<br> 325,000 L

Sergio [31]

Answer:

3.25 L

Step-by-step explanation:

1L=1000mL

3250ml x1L/1000mL = 3.25L

6 0

3 years ago