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3 years ago

Please help me with questions 8 and 10. it would literally save my life :)

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

5 0

Answer:

Step-by-step explanation:

around the tank = 12 * circumference

circumference = d $\pi$

c = 30 $\pi$

c = 94.2477796

area around tank = 12 * 94.2477796 = 1130.973355

now top of tank

area of a circle = $\pi$ $r^{2}$

$\pi$ * $15^{2}$ = 706.858347

add the two surface areas together for the total

706.858347 + 1130.973355 = 1837.832

total surface area = 1837.8 $ft^{2}$

10) all I see in the picture is a cylinder, but it's saying "composite" shape so I know there is probably more, but the cylinder is

$\pi$ * $3^{2}$ * 10 = 282.7 $ft^{2}$

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Solve for x<br> (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$