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3 years ago

If it is true that z2 - 6 = 19, then z2 + 6 = ?

Mathematics

1 answer:

qwelly [4]3 years ago

5 0

The answer is probably the opposite which in this case would be -19 ?

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An octagonal swimming pool has a base area of 22 square feet The pool is 3 feet deep How many cubic feet of water can the pool h

LenKa [72]

The pool can hold 65.84 ft³ of water

<u>Explanation:</u>

Given:

Shape of pool = octagonal

Base area of the pool = 22 ft²

Depth of the pool = 3 feet

Volume, V = ?

We know:

Area of octagon = 2 ( 1 + √2) a²

22 ft² = 2 ( 1 + √2 ) a²

$\frac{11}{1+\sqrt{2} } = a^2$

a² = $\frac{11}{2.42}$

a² = 4.55

a = 2.132 ft

Side length of the octagon is 2.132 ft

We know:

Volume of octagon = $2(1+\sqrt{2} ) X (a)^2 X h$

$V = 2(1+\sqrt{2})X (2.132)^2 X 3\\ \\V = 2 ( 2.414) X 4.5454 X 3\\\\V = 65.84 ft^3$

Therefore, the pool can hold 65.84 ft³ of water

8 0

3 years ago

What is the answer of this: 52.85-9.09 rounded to the nearest one?

Aneli [31]

44 it's above .5 so you round up!

5 0

3 years ago

4xsquared - 9=0? could anyone help me solve this quadratic equation by FACTORING?

Verizon [17]

$\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
4x^2-9=0\implies 2^2x^2-3^2=0\implies (2x)^2-3^2=0
\\\\\\\
[(2x)-3][(2x)+3]=0\implies 
\begin{cases}
2x-3=0\\
2x=3\\
x=\frac{3}{2}\\
------\\
2x+3=0\\
2x=-3\\
x=-\frac{3}{2}
\end{cases}$

7 0

3 years ago

2x+3y evaluate the expression when x=2 and y=-3

ELEN [110]

Answer:

2(2)+3(-3)=

4-9=

-5

Step-by-step explanation:

3 0

2 years ago

A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecti

den301095 [7]

Answer:

a) 0.5

b) 0.75

c) 0.307

Step-by-step explanation:

We are given the following information in the question:

Number of cards in a deck = 52

Formula:

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

a) P(Heart or Diamond)

Total number of hearts and diamonds in a deck = 13 + 13 = 26

P( Heart or Diamond) =

$\displaystyle\frac{26}{52} = \displaystyle\frac{1}{2} = 0.5$

b) P(Heart or Diamond or Spade)

Total number of hearts, diamonds and spades in a deck = 13 + 13 + 13 = 39

P( Heart or Diamond or Spades) =

$\displaystyle\frac{39}{52} = \displaystyle\frac{3}{4} = 0.75$

c) P(10 or Spades)

Total number of spades in a deck = 13

Number of 10 in a deck = 4

P( 10 or Spades) =

$\displaystyle\frac{13 + 4 -1}{52} = \displaystyle\frac{16}{52} = \displaystyle\frac{4}{13} = 0.307$

3 0

3 years ago