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3 years ago

Someone who actually knows what they doing please ‍♀️

Mathematics

2 answers:

Firdavs [7]3 years ago

6 0

Answer:

-2/5

Step-by-step explanation:

$2(4a+1)=3a$

Expand parentheses:

$8a+2=3a \\\\5a=-2 \\\\a=-\dfrac{2}{5}$

Hope this helps!

frozen [14]3 years ago

4 0

Answer:

$a=-\frac{2}{5}$

Step-by-step explanation:

2(4a+1)=3a

8a+2=3a

Subtract 8a from both sides

2= -5a

-5a=2

Divide both sides by 5

-a= $\frac{2}{5}$

Multiply both sides by -1

$a=-\frac{2}{5}$

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Answer:

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Decimal form: $\sin{(6x)} = 0.8889$

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Step-by-step explanation:

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$8 = 9\sin{(6x)}$

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2 years ago

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labwork [276]

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

A 12 cm cone with a dome on top of it that has an 8 cm diameter

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cone volume)

$V = \dfrac{ \pi *r^2*h}{3}$

$V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}$

$V = 3.14*16*4$

$\boxed{V = 200.96\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$