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prisoha [69]
3 years ago
14

How do you solve these math questions?? I really really need help!!

Mathematics
1 answer:
Dmitry [639]3 years ago
6 0
I surely don't have any clue on how to that type of math sorry.
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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
Find the value of 2cosx+1=0;0 less than x less than 360°
ohaa [14]

Answer:

120°; 240°

Step-by-step explanation:

Let's first solve for cosx: 2cosx=-1 \rightarrow cosx=-\frac12 At this point it's just a matter of drawing a circle, and mark where the angle is(please excuse my paint skills, but free hand drawing would be even worse). Red line, is -\frac12 on the cosines, and both the green and blue lines are valid solutions. The green line is a quarter of a circle, plus 30°, or 120°. The blue one is 3/4 of a circle, minus 30 degrees, or 240°.

7 0
2 years ago
How many time greater is 7,000 than 700?
PIT_PIT [208]
700•10 is 7000 so
10 times
6 0
3 years ago
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$140 for 18ft squared=?????
andrew11 [14]
Unit rate means how much does it cost for 1 unit
140 for 18ft^2

divide by 18
140/18=7.77777777777777
so the unit rate is $7.78 per square foot
8 0
3 years ago
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What exactly is 30% of 40
Setler [38]
12 . 10% = 4 -> 4*3= 12
7 0
3 years ago
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