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3 years ago

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Simplify the expression 15-3(4-2x)-7(x-8)

1 answer:

andreyandreev [35.5K]3 years ago

6 0

15-3(4-2x)-7(x-8) = 15 - 12 + 6x -7x +56 = -x +59

15-3(4-2x)-7(x-8) = - x + 59

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PLS HELP ME!!! The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of

Pachacha [2.7K]

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

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 $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$

Formula: (Volume of the hemisphere)

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

Solving:

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

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

$V = 2*3.14 * \dfrac{64}{3}$

$V = \dfrac{401.92}{3}$

$\boxed{ V_{hemisphere} \approx 133.97\:cm^3}$

What is the approximate volume of this figure?

Now, to find the total volume of the figure, add the values: (cone volume + hemisphere volume)

Volume of the figure = cone volume + hemisphere volume

Volume of the figure = 200.96 cm³ + 133.97 cm³

$\boxed{\boxed{\boxed{V = 334.93\:cm^3 \to Volume\:of\:the\:figure \approx 335\:cm^3 }}}\end{array}}\qquad\quad\checkmark$

Answer:

The volume of the figure is approximately 335 cm³

_______________________

I Hope this helps, greetings ... Dexteright02! =)

8 0

3 years ago

Read 2 more answers

The temperature was +12 degrees at midday. By evening, the temperature was -20 degrees. What was temperature change?

Free_Kalibri [48]

Answer:

The temperature decreased by 32 degrees.

Step-by-step explanation:

4 0

3 years ago

What is the missing numerator?<br><br> A: 1<br> B: 2<br> C: 3<br> D: 4

beks73 [17]

Answer:

C. 3

is the answer :)

hopefully this helps

7 0

2 years ago

Read 2 more answers

I need help. I need help. I need help. I need help. I need help. I need help. I need help. I need help. I need help. I need help

Dominik [7]

Answer:

y = -3/2x + 3

Step-by-step explanation:

To figure out the equation, it is very simple:

First you must find the y-int

The y-int is the point where the line touches the y-axis

The only point that touches the y-axis is (0,3)

so the y-int is 3

Next we need to find the slope, which is rise over run

we must find how far one point is from another point

so we start from the point (0,3) on the y-axis, then we go down 3 and to the right 2 and we are on the point (2,0)

so the slope is -3/2, because the line is going downwards, not upwards

now we just put the equation together, in the slope intercept form

y-int = b = 3

slope = m = -3/2

y = mx + b

y = -3/2x + 3

3 0

3 years ago

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Name a point that is √2 away from (-1,5)

Paha777 [63]

All the points on the circle

(x+1)^2 + (y-5)^2 = 2

6 0

3 years ago