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3 years ago

Find the value of x + 4 given that -2x + 8 = 2

Mathematics

2 answers:

Dmitry [639]3 years ago

7 0

Answer:

x + 4 = 7

Step-by-step explanation:

you solve -2x + 8 = 2 to get x = 3

plug 3 into the other equation and you get the answer

alexdok [17]3 years ago

5 0

Answer:

$7$

Step-by-step explanation:

$-2x+8=2$

Solve for x:

$-2x=-6$

$x=3$

Evaluate $x+4$ :

$(3)+4$

$7$

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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

340000 rounded to the nearest thousand

Xelga [282]

Answer: 340,000

Step-by-step explanation:

It's already rounded to 10000 so its already rounded to the nearest 1000.

8 0

4 years ago

The measure of an angles suppliment is 53° more than twice that of its compliment. find the angle.

Anettt [7]

(180-x)-2(90-x)= 53
Remember that complimentary angles add to 90 and supplementary angles add to 180.

180-x-180+2x=53
x=53

Final answer: The angle is 53 degrees.

3 0

3 years ago

Please help with numbers7-16. Thank you!

guajiro [1.7K]

First for 7 we need to find out how many ninths are in a third and there are 3/9 in a third so now we multiply 3/9 by 2 which is 6/9 now we subtract 7/9-6/9 which is 1/9 so 1/9 is left. (Iff I'm wrong sorry I did this is like a minute.)

4 0

3 years ago

Help i dont know how to do this type of questions

Scrat [10]

Answer:

x = 28°

y = 23°

Step-by-step explanation:

5y - 4 + 3y = 180

solve for y

8y = 184

y = 23

3y and 2x + 13 are equal

solve for x now that we know y is 23.

3(23) = 2x + 13

69 = 2x + 13

56 = 2x

28 = x

6 0

3 years ago

Read 2 more answers