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Serga [27]
3 years ago
7

Which expression represents the volume of the pyramid?

Mathematics
1 answer:
Arada [10]3 years ago
6 0

Answer:

V=\frac{1}{3}(n^2)(n-1)\ units^3

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

V=\frac{1}{3}Bh

where

B is the area of the base of pyramid

h is the height of the pyramid

<em>Find the area of the base B</em>

The area of the square base B is

B=n^2\ units^2

we have

h=(n-1)\ units

substitute the given values in the formula of volume

V=\frac{1}{3}(n^2)(n-1)\ units^3

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2x + 10 + 3x = 7x + 12
wlad13 [49]

Answer:

<h2>x = -1</h2>

Step-by-step explanation:

2x+10+3x=7x+12\qquad\text{combine like terms}\\\\(2x+3x)+10=7x+12\\\\5x+10=7x+12\qquad\text{subtract 10 from both sides}\\\\5x+10-10=7x+12-10\\\\5x=7x+2\qquad\text{subtract}\ 7x\ \text{from both sides}\\\\5x-7x=7x-7x+2\\\\-2x=2\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{-2}=\dfrac{2}{-2}\\\\x=-1

8 0
3 years ago
Read 2 more answers
What is the equation of a circle with center of (4,2) passing through the point (7,2)
attashe74 [19]

Answer:

(x-4)^2 + (y-2)^2 = 3^2

or

(x-4)^2 + (y-2)^2 = 9 (simplified if needed)

Step-by-step explanation:

-Equation of a circle is:

(x-h)^2+(y-k)^2=r^2 where the center is (h, k) and the radius is r^2.

-Place the center and the point onto that equation:

(7-4)^2+(2-2)^2=r^2

-Then, you solve:

(7-4)^2+(2-2)^2=r^2

(3)^2+(0)^2=r^2

9 +0=r^2

9=r^2

\sqrt{9} =\sqrt{r^2}

3=r

-So, the result is:

(x-4)^2+(y-2)^2=3^2

or

(x-4)^2+(y-2)^2=9 (simplified if needed)

3 0
3 years ago
Two assembly lines I and II have the same rate of defectives in their production of voltage regulators. Six regulators are sampl
Kamila [148]

Answer:

0.4546

Step-by-step explanation:

nCr = n!/(n-r)!r!

Number of ways of selecting the four defective voltage regulators from 12 =  12C4 = 12!/(12-4)!4! = 12!/8!4! = (12 *11*10*9)/(4*3*2*1)

12C4 =  495 ways

Number of ways of selecting 2 defectives from line 1 = 6C2 * 6C2

6C2 = 6!/(6-2)!2! = 6!/4!2! = (6*5)/(2*1) = 15

6C2 * 6C2 = 15*15 = 225 ways

Probability = Number of possible outcomes/ Number of total outcomes

Probability that exactly 2 of the defective regulators came from line 1 = 225/40.95 = 0.4546

4 0
3 years ago
What is the equation of the line through the points (1,1), (5,4) (9,7) and (13,10)
mr_godi [17]

Answer:

its c

Step-by-step explanation:

8 0
2 years ago
A record album is 3/16 of an inch thick. How many albums can be stacked to fit in a box 12 inches high? Please show me how you g
german
Hope this was helpful

5 0
3 years ago
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