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gladu [14]
3 years ago
6

The scale on a map is 1 inch per 150 miles. The map shows the town of Bluebell is 3.5 inches away

Mathematics
1 answer:
Bezzdna [24]3 years ago
7 0

Answer:

525

Step-by-step explanation:

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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
Write the equation of the line that passes through the point (2,-9)<br> and has a slope of -5.
balu736 [363]

Step-by-step explanation:

Find equation

y - y1 = m(x - x1)

y + 9 = -5(x - 2)

y = -5x + 10 - 9

y = -5x + 1 → Equaton

7 0
2 years ago
The larger of two numbers is seven less than three times the smaller number. If the sum is 61, find the numbers.
swat32

Answer:

17 and 44

Step-by-step explanation:

Let S = smaller number, then L = the larger = 3S - 7

 

The sum = 3S - 7 + S = 4S - 7 = 61

4S = 68

S = 17 and L = 44

6 0
2 years ago
What’s the answer please help
yaroslaw [1]

90 1 m/s2 189087536

vghfvkycfcccccccccccccccccccccccccccccc

4 0
3 years ago
The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. H
lutik1710 [3]

Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

8 0
3 years ago
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