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3 years ago

A pyramid has a regular hexagonal base with side links of four and a slant height of six. Find the total area of the pyramid

Mathematics

1 answer:

vova2212 [387]3 years ago

7 0

Area of the Base = 6 * side^2 / 4 * tan (180/6)

Area of the Base = 6 * 16 / 4 * 0.57735

Area of the Base = 96 / 2.3094

Area of the Base = 41.5692387633

Area of 1 Face = 2 * 6 = 12

Area of 6 Faces = 72

Total Area = 41.5692387633 + 72

Total Area = 113.5692387633

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The length of a rectangle is 3 times its width. The perimeter is 39. Find the length and width of the rectangle.

nata0808 [166]

Answer:

Let width of rectangle be x cm.

3x+x+3x+x=39

8x=39

x=39÷8

=39/8

=4/7/8

3x=39/8×3

=117/8

=14/5/8

Hence, length=14/5/8cm while width=4/7/8cm.

6 0

2 years ago

Tyrell wants to buy bagels and cream cheese for his 16 coworkers at the office. He expects that each worker will eat 1 1/2 bagel

yulyashka [42]

Answer:

Is below.

Step-by-step explanation:

nuMBER OF BAGELS = 16 * 1 1/2 = 24.

Number of servings of cheese = 16*2 = 32

= 32/4 = 8 containers.

3 0

3 years ago

Expand and simplify 4(2x +7) – 3(x + 5)

Vikentia [17]

Answer:

$4\left(2x+7\right)-3\left(x+5\right)=5x+13$

Step-by-step explanation:

Given the expression

$4\left(2x+7\right)-3\left(x+5\right)$

<u>Expand and simplify the expression</u>

$4\left(2x+7\right)-3\left(x+5\right)$

Expand 4(2x + 7) = 8x + 28

$4\left(2x+7\right)-3\left(x+5\right)=8x+28-3\left(x+5\right)$

Expand -3(x + 5) = -3x - 15

$=8x+28-3x-15$

Group like terms

$=8x-3x+28-15$

Add similar elements: 8x - 3x = 5x

$=5x+28-15$

Simplify

$=5x+13$

Therefore, we conclude that:

$4\left(2x+7\right)-3\left(x+5\right)=5x+13$

6 0

3 years ago

Use the formula P = 2l + 2w to find the length of a rectangle whose perimeter is 57 inches and whose width is 13 inches.

kvv77 [185]

The length is going to be 15.5. Please message me if you want the explanation

4 0

2 years ago

Use the following graph of the function f(x) = 2x3 + x2 − 3x + 1 to answer this question: graph of 2x cubed plus x squared minus

Zina [86]

Answer:

Step-by-step explanation:

f(x) = 2x^3 + x^2 − 3x + 1

f'(x) = 6x^2 + 2x − 3

The slope at -2:

f'(-2) = 6(-2)^2 + 2(-2) − 3

f'(-2) = 24 + -4 − 3

f'(-2) = 17

-----

The slope at 0:

f'(0) = 6(0)^2 + 2(0) − 3

f'(0) = − 3

The average rate of change is (17+(-3))/2, or 14/2, or 7

6 0

2 years ago

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