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3 years ago

Which numbers are irrational? Select all that apply.

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

Answer:

$\sqrt{18}$ , $\sqrt{78}$ , and π

Step-by-step explanation:

The irrational numbers are:

$\sqrt{18}$ , $\sqrt{78}$ , and π

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Having trouble on solving for r in the equation A=2(3.14)rh

NARA [144]

A = 2(3.14) r h

A=6.28 rh

r = A/6.28h

4 0

3 years ago

Find the 22nd term in the arithmetic sequence -5, -9, -13, -17, -21

lubasha [3.4K]

Answer:

-93

Step-by-step explanation:

it decreases by four every time, so take -4 times 22 and then subtract 5.

4 0

3 years ago

The coordinates of quadrilateral PQRS are P(–3, 0), Q(0, 4), R(4, 1), and S(1, –3). What best describes the quadrilateral?

denis-greek [22]

Answer:

Square

Step-by-step explanation:

Plot the vertices of the quadrilateral PQRS on the coordinate plane (see attached diagram). The diagram shows that this is a square. Let's prove it.

1. Find all sides lengths:

$PQ=\sqrt{(-3-0)^2+(0-4)^2}=\sqrt{(-3)^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5\\ \\QR=\sqrt{(0-4)^2+(4-1)^2}=\sqrt{(-4)^2+(3)^2}=\sqrt{16+9}=\sqrt{25}=5\\ \\RS=\sqrt{(4-1)^2+(1-(-3))^2}=\sqrt{(3)^2+(4)^2}=\sqrt{9+16}=\sqrt{25}=5\\ \\SP=\sqrt{(1-(-3))^2+(-3-0)^2}=\sqrt{(4)^2+(-3)^2}=\sqrt{16+9}=\sqrt{25}=5$

All sides have the same lengths.

2. Find the slopes of all lines:

$PQ:\ \dfrac{4-0}{0-(-3)}=\dfrac{4}{3}\\ \\QR:\ \dfrac{1-4}{4-0}=-\dfrac{3}{4}\\ \\RS:\ \dfrac{-3-1}{1-4}=\dfrac{4}{3}\\ \\SP:\ \dfrac{0-(-3)}{-3-1}=-\dfrac{3}{4}$

Since the slopes of PQ and RS are the same, lines PQ and RS are parallel. Since the slopes of QR and SP are the same, lines QR and SP are parallel.

The slopes $\frac{4}{3}$ and $-\frac{3}{4}$ have the product of

$-\dfrac{3}{4}\cdot \dfrac{4}{3}=-1,$

then lines are pairwise perpendicular.

This means PQRS is a square.

4 0

4 years ago

6. Santiago Diaz Granados played an arcade game that cost 25 tokens per game. In six games, Santiago won 0 tokens, 10 tokens, 50

Pavel [41]

-- To play the six games, Santiago Diaz Granados spent

(6 x 25) = 150 tokens.

-- As a result of his skill, experience, talent, steady hand, nerves
of steel, superior hand-eye coordination, and superb reflexes, 
Santiago Diaz Granados won

(0 + 10 + 50 + 0 + 5 + 10) = 75 tokens.

-- At the end of the 6th game, Santiago Diaz Granados was behind
the curve.
After spending 150 tokens and winning 75 tokens, Santiago Diaz Granados
was down by (150 - 75) = 75 tokens since he arrived at the arcade.
Any true friend could look at the choices, could see that choice-B is
the correct one, and could advise Santiago Diaz Granados to cash in
whatever he had left, accept his losses, return to his home, and live
to fight another day.

Viva Santiago Diaz Granados ... un verdadero héroe de su pueblo. Viva !

3 0

3 years ago

Someone please answer not really good with math.

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

3*3^2+8/2-(4+3)=27+4-7=24

8 0

3 years ago

Read 2 more answers