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3 years ago

A figure was rotated around a vertical line segment resulting in the object below. Which of the following figures was rotated?

Mathematics

1 answer:

Archy [21]3 years ago

7 0

What is the object? There is no picture and is there suppose to be something we are looking at??

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A swimming pool 20 m long and 10 m wide is surrounded by a deck of uniform width. The total area of the swimming pool and the d

Anna007 [38]

$S = 704 \ m^2 \\width \ of \ the \ deck - x \\ \\S=a \cdot b \\ \\ (10+2x)(20+2x) = 704 \\ \\ 200+20x +40x+4x^2-704 =0\\ \\4x^2 +60x -504=0\ \ /:4$

$x^2+15x -126=0\\ \\a=1, \ b=15 , \ c= - 126 \\ \\\Delta =b^2-4ac = 15^2 -4\cdot1\cdot (-126) = 225 +504=729 \\ \\x_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{-15-\sqrt{729}}{2 }=\frac{ -15-27}{2}=\frac{-42}{2}=-21 \ can \ not\ be \ negative \\ \\x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{-15+\sqrt{729}}{2 }=\frac{ -15+27}{2}= 6 \ m \\ \\ Answer : \ waist \ width \ is \ 6 \ m$

8 0

3 years ago

Read 2 more answers

Write down the negation of each statement

prohojiy [21]

Answer:

1. ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y)

2. ∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)

Step-by-step explanation:

If we negate a quantified statement, first we negate all the quantifiers in the statement from left to right, ( keeping the same order ) then we negative the statement,

Here, the given statement,

1. ∃y ∈Z such that ∀x ∈Z, R (x + y)

By the above definition,

Negation of this statement is ∀ y ∈ Z such that ∃ x ∈ Z, ¬R (x + y),

2. Similarly,

The negation of statement ∀x ∈Z, ∃y∈Z such that R(x + y),

∃ x ∈ Z, ∀ y ∈ Z such that ¬R(x + y)

6 0

3 years ago

What is the answr to negative 5 to the third power times negative one

tia_tia [17]

ANSWER -5⁻³ = $\frac{-1}{5^{3}} = \frac{-1}{125} = - 0,008$

$\textbf{Spymore}$

6 0

3 years ago

Estimate 5171 / 17 by first rounding each number so that it has only 1 nonzero digit.

padilas [110]

Answer:

250

Step-by-step explanation:

5171/17

Estimate: 5000/20 = 500/2 = 250

8 0

3 years ago

Read 2 more answers

How do u know if an equation is linear?

krek1111 [17]

Answer:

An equation is linear if its graph forms a straight line. This will happen when the highest power of x is "1". Graphically, if the equation gives you a straight line then it is a linear equation. Else if it gives you a circle, or parabola or any other conic for that matter it is a quadratic or nonlinear equation.

Step-by-step explanation:

6 0

3 years ago