Answer: Last option.
Step-by-step explanation:
Observe the base of the pyramid, which is a regular hexagon. You can see that there is a right triangle.
The area of the triangle can be calculated with this formula:

Where "b" is the base and "h" is the height.
You can say that the apothem is the height of the right triangle, then, you need to find the base applying the Pythagorean Theorem:

Then, the area of the triangle is:

Since the base of the pyramid is a regular hexagon, then you can multiply by 12 the area of the right triangle calculated above, in order to find the area of the hexagon. Then you get:

Hi there!
Since the interior measures of triangles added up always equals 180 degrees, the other interior angle of the triangle must be 32 degrees.
180 - 112 - 36 = 32
So, any triangle with interior measures that measure any angles of 36, 112, and 32 degrees are similar.
<span>triangle with interior angles measuring 36° and 32° - true
triangle with interior angles measuring 36° and 148° - false
triangle with interior angles measuring 32° and 112° - true
triangle with interior angles measuring 112° and 148 - </span>false
Hope this helps!
The rate to convert yards to meters is

So, if you multiply both sides by 8, you get

To round the answer to the nearest tenth, we need to choose between 7.3 and 7.4. Since the hundreths digit is 1, which is less than 5, 7.3 is nearest to 7.3152 than 7.4, so the correct answer is 7.3
Answer: The required inequality is
and its solution is 
Step-by-step explanation: Given that Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper.
Also, Heloise has written
as many articles as Mustafa has and Gia has written
as many articles as Mustafa has.
We are to write an inequality to determine the number of articles, m, Mustafa could have written for the school newspaper. Also, to solve the inequality.
Since m denotes the number of articles that Mustafa could have written. Then, according to the given information, we have

And the solution of the above inequality is as follows :

Thus, the required inequality is
and its solution is 
Week 1 = 5 guppies.
week 2 = 5x 2 = 10 guppies
week 3 = 10 x 2 = 20 guppies
week 4= 20 x 2 = 40 guppies
week 5 = 40 x 2 = 80 guppies
week 6= 80 x 2 = 160 guppies
Yuki had 160 guppies in 6 weeks.