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3 years ago

Earth Science Chapter 1 Cust

Mathematics

1 answer:

masya89 [10]3 years ago

5 0

Answer:

Annyeonghaseyo! Whats the question ?

Step-by-step explanation:

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The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l

sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

$A=\frac{\sqrt{3} }{4} x^2$

(c)

$A=\frac{3\sqrt{3} }{2} x^2$

(d)

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

$=\frac{\sqrt{3} }{4} b^2$

h=3x

b=x

now, we can plug values

$A=\frac{\sqrt{3} }{4} x^2$

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

$=6\times \frac{\sqrt{3} }{4} x^2$

$=\frac{3\sqrt{3} }{2} x^2$

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

$=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)$

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

3 0

3 years ago

Read 2 more answers

Andy is buying a new laptop computer. The store is offering a 15% discount on the model he wants. Andy also has a certificate fr

nika2105 [10]

Answer:

$899.15

0.85(1199) - 120

Step-by-step explanation:

To find the purchase total, multiply the price by the percent paid and subtract the certificate.

The store offers a 15% discount. This means you pay 85% of the price. So the discounted price is 0.85(1199) = 1019.15

Subtract the certificate 1019.15 - 120 = 899.15

The composite function is 0.85(1199) - 120.

7 0

2 years ago

What is the multiplicative rate of change of the function???

laiz [17]

Answer:
i think its 2/3

8 0

2 years ago

A car motercycle leaves at noon from the same location, heading in the same direction. The average speed of the car is 30mph slo

alina1380 [7]

Answer:

speed of motorcycle = 40 mph

speed of car = 50 mph

Step-by-step explanation:

Here is the complete question

A car and a motorcycle leave at noon from the same location, heading in the same direction. The average speed of the car is 30 mph slower than twice the speed of the motorcycle. In two hours, the car is 20 miles ahead of the motorcycle. Find the speed of both the car and the motorcycle, in miles per hour.

Speed = distance / time

This question would be solved using simultaneous equation

let m = average speed of the motorcycle

c = average speed of the car

c = 2m - 30 equation 1

20 =(c - m) x 2 equation 2

insert equation 1 into equation 2 and divide through by 2

10 = (2m - 30) - m

solve for m

m = 40 mph

substitute for m in equation 1

2(40) - 20 = 50 mph

8 0

3 years ago

If V is the midpoint of OS and W is the midpoint of RS, then

lesya692 [45]

Answer:

It's D = 20 units

here is the pic :)

Step-by-step explanation:

please rate me the branlest

4 0

3 years ago

Earth Science Chapter 1￼ Cust

Earth Science Chapter 1 Cust