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3 years ago

Solve each equation. If exact roots cannot be found, state the consecutive integers between which the roots are located.

Mathematics

1 answer:

vodomira [7]3 years ago

3 0

Answer:

x=2

Step-by-step explanation:

x^2+10x+24=0

12x=24=0

12x=24

x=2

My math is rusty so this may not be the right answer.

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Find the perimeter of a rectangular pool.

Jlenok [28]

Answer:

=> 216

Step-by-step explanation:

perimeter of the rectangular pool is

=> 2(l+b)

=> 2( 45.7 + 62.3 )

=> 2(108.0)

=> 216

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3 years ago

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PLEASE HELP WITH THIS ILL GIVE BRAINLIEST

Mrrafil [7]

Answer:

$\text{a. }x=7, x=-7, \\\text{b. }x=16, x=-16, \\\text{c. }x=3, x=-17, \\\text{d. }x=7, x=-7$

Step-by-step explanation:

For $|x|=y$ , we have two cases:

$\begin{cases}x=y, \\x=-y\end{cases}$

Using this, we can solve all four of the problems:

$\text{a. }|x|=7,\\\begin{cases}x=7, \\x=-7\end{cases}$

$\text{b. }|2x|=32,\\\begin{cases}x=16, \\x=-16\end{cases}$

$\text{c. }|x+7|=10,\\\begin{cases}x+7=10, x=\boxed{3,} \\x+7=-10, x=\boxed{-17}\end{cases}$

$\text{d. }5|x|=35,\\\begin{cases}x=7, \\x=-7\end{cases}$

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3 years ago

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Your engineering firm is asked to specify the maximum load for the elevators in a new building: Each elevator has mass 490 kg wh

steposvetlana [31]

Answer:

a) m =589.734kg

b) n = 8 people (rounded down)

Step-by-step explanation:

The first step is to calculate the maximum load after safety considerations ( $T_{max}$

Since we know that the maximum tension the cables can withstand is 19500N (or 19.5kN). To calculate ( $T_{max}$ we multiply this value by $\frac{2}{3}$ (as per the given safety consideration.

Hence

$T_{max} = \frac{2}{3} (19500) \\ T_{max} = 13000N$

a) Now to find the maximum load in kgs, we use the following formula

$(m_{0} + m)(g + a) = T_{max}$

Where

$m_{0}$ = mass of elevator

$m$ = maximum load

$g$ = acceleration due to gravity

$a$ = maximum acceleration of elevator

Inputting the values and solving

$m_{0} + m)(g + a) = T_{max}\\ (490 + m)(9.8 + 2.24) = 13000\\ 12.04m = 7100.4\\ m = 589.734kg$

Hence the maximum load is m =589.734kg

b) To find the number of people (n) we divide the value of m by 70kg

n = 589.734 / 70

n = 8.42 or 8 people

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3 years ago

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NeTakaya

U need the law of cosines and heron's formula

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3 years ago

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exis [7]

Answer:

5.023 I believe

Step-by-step explanation:

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4 years ago