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3 years ago

5

Which list shows three solutions to the inequality?

2 answers:

vladimir1956 [14]3 years ago

8 0

The answer for choice for this is B

Advocard [28]3 years ago

5 0

B, i think
Hope this help!

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The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units. A solid right pyramid

Xelga [282]

Answer:

$6 x^2*\sqrt{3}$

Step-by-step explanation:

The base of the pyramid we need to study is a hexagon.

Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.

Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")

Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.

We know the area of a triangle is the product of its base times its height, divided by 2: $\frac{base*height}{2} = \frac{2x*height}{2}$

We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures $x\sqrt{3}$ , so replacing this value in the formula above for the area of one of the triangles:

$\frac{2x*height}{2}= \frac{2x*x\sqrt{3} }{2}=x^2\sqrt{3}$

Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):

Area of hexagon = $6x^2\sqrt{3}$

which is the last option given in the list.

5 0

3 years ago

Read 2 more answers

Ben earns $750 a month plus 4% commission on all his sales over $900. Find the minimum sales that will allow Ben to earn at leas

e-lub [12.9K]

$750 + s x 4% = $2,500 | - $750

s x 4% = $1,750 | : 4%

s = $43.750

4 0

3 years ago

Meg works 5 1/2 hours and earns 52.25. If Adam makes an hourly rate that is proportional and earns 71.25, how many did he work?

Reil [10]

Can u break the main part down

6 0

3 years ago

Answer the ones you want to. At least answer one…

Artyom0805 [142]

Answer:

9. First Five terms

If n=0. Then,

$\frac{4(0) - 5}{2}$

$\frac{0 - 5}{2} = \frac{ - 5}{2}$

If n=1. Then,

$\frac{4(1) - 5}{2}$

$\frac{4 - 5}{2} = \frac{ - 1}{2}$

If n=2. Then,

$\frac{4(2) - 5}{2}$

$\frac{8 - 5}{2} = \frac{3}{2}$

If n=3. Then,

$\frac{4(3) - 5}{2}$

$\frac{12 - 5}{2} = \frac{7}{2}$

If n=4. Then,

$\frac{4(4) - 5}{2}$

$\frac{16 - 5}{2} = \frac{11}{2}$

If n=5. Then,

$\frac{4(5) - 5}{2}$

$\frac{20 - 5}{2} = \frac{15}{2}$

If n=6. Then,

$\frac{4(6) - 5}{2}$

$\frac{24 - 5}{2} = \frac{19}{2}$

7 0

3 years ago

Angles bowling ball weighs 12 pounds. How many ounces does Angles bowling ball weigh? A. 192 ounces B. 96 ounces C. 48 ounces D.

skelet666 [1.2K]

Answer: The bowling ball weighs 192 ounces.

Step-by-step explanation: There are 16 ounces in a pound, and there are 12 pounds, so all we need to do is multiply them.

16 x 12 = oz

16 x 12 = 192

I hope this helped you understand :)

6 0

4 years ago