3 years ago

Can you help me with this ,please?

Mathematics

1 answer:

lana [24]3 years ago

8 0

First one and the last one are rational. And the other two of them are irrational.

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What are the solutions to the quadratic equation (5y +6) 2= 24?

boyakko [2]

Answer:

$y=-2.18,-0.22$

Step-by-step explanation:

We have been given the equation

$(5y+6)^2=24$

Take square root both sides. When ever we take square root, we include plus minus sign

$\sqrt{(5y+6)^2}=\pm\sqrt{24}\\\\5y+6=\pm2\sqrt6$

Now, subtract 6 to both sides of the equation

$5y=-6\pm2\sqrt6$

Divide both sides by 5

$y=\frac{1}{5}(-6\pm2\sqrt6)$

$y=\frac{1}{5}(-6+2\sqrt6),y=\frac{1}{5}(-6-2\sqrt6)$

In decimal we have

$y=-2.18,-0.22$

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3 years ago

$3.00 is ____ % of $1.80

Vedmedyk [2.9K]

3.00 is 166.6% of 1.80 dollars

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3 years ago

Which is greater 5/8 or -1/4

Tpy6a [65]

Answer:

5/8

Step-by-step explanation:

-1/4=-0.25

5/8=0.625

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3 years ago

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How many eighths in one half

11111nata11111 [884]

4/8 = 1/2 so it is four eigths in one half. 4/8 simplified is 1/2

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3 years ago

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The bottom portion of a loading bin is cone shaped. The base radius of this part of the bin is 3.5 feet and the slant height is

jek_recluse [69]

$\bf \textit{lateral surface of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} ~~ r=radius\\ sh=\stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=3.5\\ sh=6.5 \end{cases}\\\\\\ LA=\pi (3.5)(6.5)\implies LA\approx71.47 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{sh}{6.5}=\sqrt{r^2+h^2}\implies 6.5=\sqrt{3.5^2+h^2}\implies 6.5^2=3.5^2+h^2 \\\\\\ 6.5^2-3.5^2=h^2\implies \sqrt{6.5^2-3.5^2}=h\implies \sqrt{30}=h \\\\[-0.35em] ~\dotfill$

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3.5\\ h=\sqrt{30} \end{cases}\implies V=\cfrac{\pi (3.5)^2\sqrt{30}}{3}\implies V\approx 70.26$

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3 years ago

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Can you help me with this ,please?​

Can you help me with this ,please?