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3 years ago

Solve the inequality. -2(w+4) +9<-11

Mathematics

1 answer:

11111nata11111 [884]3 years ago

7 0

Answer:

w>6

Step-by-step explanation:

1.) you will distribute the -2 into the parentheses.

-2w-8+9<-11

2.) combine like terms

-2w+1<-11

3.) isolate the variable

-2w<-12

4.) continue to isolate the variable

w>6

(the sign will flip because if the negative devision)

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7 > z + 18 ≥ 6 please help me!

sp2606 [1]

7 > z + 18 ≥ 6

Subtract 18 from all 3 parts:

7-18 > z +18 -18 ≥ 6-18

-11 > z ≥ -12

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3 years ago

Solve the inequality 7(x + 4) > 0.

matrenka [14]

Answer:

x > - 4

Step-by-step explanation:

Given

7(x + 4) > 0 ← distribute left side

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3 years ago

Read 2 more answers

Determine the volume of the figure. Use 3.14 for π. Round your answer to the nearest tenth. Show all of your work.

Ostrovityanka [42]

Answer:

1985 cubic units (written as un. with the cubed exponent)

Step-by-step explanation:

First, you find the volume of the cylinder

Here's the formula:

$V=\pi r^{2}h\\V=volume\\r=radius\\h=height$

Now, you plug in and solve.

$V=(3.14)(7.2^{2})(7.4)\\V=(3.14)(51.84)(7.4)\\V=(162.7776)(7.4)\\V=1204.55424\\rounded:\\V=1204.6$

Then, you find the volume of the dome.

Here's the formula:

$volume/of/a/sphere=\frac{4}{3}\pi r^{3}\\volume/of/a/dome:\\V=\frac{2}{3}\pi r^{3} \\V=volume\\r=radius$

Now, you just plug in and solve.

$V=(\frac{2}{3})(\pi)(r^{3})\\V=(\frac{2}{3})(3.14)(7.2^{3})\\V=(\frac{2}{3})(3.14)(373.248)\\V=(2.093)(373.248)\\V=781.208064\\rounded:\\V=781.2$

Finally, you add them together, and there's your answer!

$1204.6+781.2=1985.8$

Hope this helped!

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