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sergejj [24]
3 years ago
15

What is a proof of the volume of a pyramid

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

The formula for the volume of a pyramid (V) is 1/3 the area of the base (B) multiplied by the height (H). If that’s what you’re asking:)

You might be interested in
What is 30/25 as a percentage?​
netineya [11]

Answer:

120%

Convert fraction (ratio) 30 / 25 Answer: 120%

3 0
3 years ago
Read 2 more answers
Some carpet cleaning costs are shown in the table. The relationship is linear. Find and interpret the rate of change
Artemon [7]
Y = m x + b , where m is the slope. The slope is the rise over the run or the change in x ( rooms cleaned ) over the change in y ( cost ).
125 = m * 1 + b
175 = m * 2 + b
-----------------------
b = 125 - m
175 = 2 m + 125 - m
m = 175 - 125
m = 50 ( the rate of change ),  b = 75
The formula is:  y = 50 x + 75
It means that the starting cost will be $75 and that for every room cleaned, the cost will rise for $50. 
4 0
3 years ago
Read 2 more answers
The table below represents a linear function in the equation represents a function. table numbers are X: -1,0,1. f(x): -3,0,3. G
Alexxx [7]
A)
SLOPE OF f(x)
To find the slope of f(x) we pick two points on the function and use the slope formula. Each point can be written (x, f(x) ) so we are given three points in the table. These are: (-1, -3) , (0,0) and (1,3). We can also refer to the points as (x,y). We call one of the points ( x_{1} , y_{1} ) and another ( x_{2} , y_{2} ). It doesn't matter which two points we use, we will always get the same slope. I suggest we use (0,0) as one of the points since zeros are easy to work with.

Let's pick as follows:
( x_{1} , y_{1} )= (0.0)
( x_{2} , y_{2} )= (1.3)

The slope formula is: m= \frac{y_{2} - y_{1} }{ x_{2}- x_{1}  }
We now substitute the values we got from the points to obtain.
m= \frac{3-0}{ 1-0 } = \frac{3}{1}=3

The slope of f(x) = 3

SLOPE OF g(x)
The equation of a line is y=mx+b where m is the slope and b is the y intercept. Since g(x) is given in this form, the number in front of the x is the slope and the number by itself is the y-intercept.

That is, since g(x)=7x+2 the slope is 7 and the y-intercept is 2.

The slope of g(x) = 2

B)
Y-INTERCEPT OF g(x)
From the work in part a we know the y-intercept of g(x) is 2.

Y-INTERCEPT OF f(x)
The y-intercept is the y-coordinate of the point where the line crosses the y-axis. This point will always have an x-coordinate of 0 which is why we need only identify the y-coordinate. Since you are given the point (0,0) which has an x-coordinate of 0 this must be the point where the line crosses the y-axis. Since the point also has a y-coordinate of 0, it's y-intercept is 0

So the function g(x) has the greater y-intercept
5 0
3 years ago
It takes Dwight 1 1/3 hours to run the sunshine trail. Mike 3 1/5 hours to walk the same trail. How many times as long does it t
Anit [1.1K]

For this case we convert the mixed numbers to fractions:

Dwight:1 \frac {1} {3} = \frac {3 * 1 + 1} {3} = \frac {4} {3} = 1.33

Mike:3 \frac {1} {5} = \frac {5 * 3 + 1} {5} = \frac {16} {5} = 3.2

It is observed, that in fact, Mike takes more time to travel the road.

We subtract to know how much more time it takes Mike:

\frac {16} {5} - \frac {4} {3} = \frac {48-20} {15} = \frac {28} {15}

So, Mike takes \frac {28} {15} hours more than Dwight to walk the road.

Answer:

Mike takes\frac {28} {15}hours longer than Dwight to walk the road.

7 0
2 years ago
vanessa invested $2500 into an account that will increase in value 3.5% each year. write an exponential function, then find the
riadik2000 [5.3K]

Answer: A = 2500 (1.035)^n

A= $ 4,974.47

Step-by-step explanation:

A=P(1+r)^n

A= Amount

P= Principal

R= rate

N= # of years

A= 2500(1.035)^n

N=20

2500(1.035)^20

A= 4,974.47

4 0
3 years ago
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