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2 years ago

On Saturday at 9:00 p.m., the temperature in New York City was -6 degrees Fahrenheit.

Mathematics

1 answer:

stellarik [79]2 years ago

4 0

Answer:

Step-by-step explanation:

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A right pyramid with a regular hexagon base has a height of 3 units If a side of the hexagon is 6 units long, then the apothem i

Setler79 [48]

Answer:

Part a) The slant height is $3\sqrt{2}\ units$

Part b) The lateral area is equal to $54\sqrt{2}\ units^{2}$

Step-by-step explanation:

we know that

The lateral area of a right pyramid with a regular hexagon base is equal to the area of its six triangular faces

$LA=6[\frac{1}{2}(b)(l)]$

where

b is the length side of the hexagon

l is the slant height of the pyramid

Part a) Find the slant height l

Applying the Pythagoras Theorem

$l^{2}=h^{2} +a^{2}$

where

h is the height of the pyramid

a is the apothem

we have

$h=3\ units$

$a=3\ units$

substitute

$l^{2}=3^{2} +3^{2}$

$l^{2}=18$

$l=3\sqrt{2}\ units$

Part b) Find the lateral area

$LA=6[\frac{1}{2}(b)(l)]$

we have

$b=6\ units$

$l=3\sqrt{2}\ units$

substitute the values

$LA=6[\frac{1}{2}(6)(3\sqrt{2})]=54\sqrt{2}\ units^{2}$

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2 years ago

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A 6-foot piece of ribbon costs $15.84. What is the price per inch?

nadezda [96]

Answer:

$0.22/inch

Step-by-step explanation:

6ft=72 inches

15.84/72

=0.22

6 0

3 years ago

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This table gives the dimensions for a scale drawing of a house. Every 2 inches on the scale drawing represents 1.5

sweet [91]

Answer:

6 and 9

Step-by-step explanation:

Just took it

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2 years ago

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Solve this equation, pls. due today !!

Margarita [4]

Answer:

1) c=100

2) x^4-40x^3+400x^2

Step-by-step explanation:

When I write ^# that means it's squared and has a number above it :)

You're welcome :)

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2 years ago

Find each unknown number.

Sindrei [870]

A. 8
B. 10
C. 3,000
D. 1,440
E. 16

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2 years ago