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3 years ago

Find the lateral area the regular pyramid. (50 points)

Mathematics

1 answer:

babymother [125]3 years ago

5 0

Answer:

The lateral area the regular pyramid = 18√91 square units

Step-by-step explanation:

It is given a regular hexagon.

From the figure we get the base edge of the pyramid is 6 units

(Since the base of pyramid is regular hexagon

<u>To find the lateral edge </u>

Lateral edge is the hypotenuse of triangle with base = 6 and height = 8

Lateral edge =√(8² + 6²) = √100 = 10

To find the slant height

Slant height is the height of triangle with,

base = 6/2 = 3 and hypotenuse = 10

Slant height = √(10² - 3²) = √(100 - 9) = √91

<u>To find the area of single face</u>

Area = bh/2

b = 6 and h = √91

Area = (6 * √91)/2 = 3√91

To find the lateral area of pyramid

Lateral area = 6*face area = 6*3√91 = 18√91 square units

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podryga [215]

First set up the equation.

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Then solve for x.

4x = 648

Divide both sides by 4.

x = 162. So the answer for the system would be $162 and the price for the games would be $486. Add the two up to check your work and you will get $648. Hope this helped!

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4 years ago

Sam is flying from Columbus, Ohio to Kralendijk, Bonaire, a distance of 2,488 miles. First, he flies 995 miles to Miami, Florida

kogti [31]

Answer:

460 miles

Step-by-step explanation:

Given

Total = 2488 miles

Miami = 995 miles

San Juan = 1033 miles

Required

Determine the remaining distance

Assuming the points are on a straight path.

The remaining distance is:

Remainder = Total - Miami - San Juan

Remainder = 2488 - 995 - 1033

Remainder = 460 miles

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3 years ago

Which expression is equivalent to 3(5 + 6)?

Anna [14]

Answer:

15+18

Step-by-step explanation:

3(5)+3(6)=15+18

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4 years ago

2.) What value for c will make the expression a perfect square trinomial?

andre [41]

Answer : $\frac{49}{4}$

Given expression is $x^2 - 7x + c$

To make perfect square trinominal we use completing the square method

In completing the square method we add and subtract the half of square of coefficient of middle term

Here coefficient of middle term is -7

Half of -7 is $\frac{-7}{2}$

Square of $\frac{-7}{2}$ is $(\frac{-7}{2})^2$ = $\frac{49}{4}$

So the expression becomes $x^2 - 7x + [tex] \frac{49}{4}$ that gives perfect square trinomial

Hence , the value of 'c' is $\frac{49}{4}$

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7nadin3 [17]

I hope this helps you

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3 years ago

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