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4 years ago

What is the smallest 3-digit number that has 2, 3, and 7 among its prime factors?

Mathematics

1 answer:

omeli [17]4 years ago

7 0

Answer: 126

Step-by-step explanation: You would just find the LCM (2, 3, 7) and get 42. But since you need a 3-digit number, list the multiples of 42, like so: 42, 84, 126, 168, 210...

As you can see, 126<em> </em>is the smallest 3-digit number that has 2, 3, and 7 among its prime factors.

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How long must a ladder be to reach the top of a 12-foot wall if the both of the ladder is placed 3 feet from the base

zimovet [89]

Answer:the hypotenuse,or lenght of the ladder,

; 12.37 ft

Step-by-step explanation:

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3 years ago

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the base of a right prism is an equilateral triangle each of whose sides measures 4cm.the altitude of the prism measures 5cm.Fin

o-na [289]

Answer:

$V=34.64\ cm^3$

Step-by-step explanation:

Given that,

The side of an equilateral prism = 4 cm

The altitude of the prism = 5 cm

We need to find the volume of the prism. The formula for the volume of a prism is as follows :

$V=A\times h$

Where

A is the area of equilateral triangle, $A=\dfrac{\sqrt3}{4}a^2$

So,

$V=\dfrac{\sqrt3}{4}a^2\times h\\\\V=\dfrac{\sqrt3}{4}\times 4^2\times 5\\\\V=34.64\ cm^3$

So, the volume of the prism is equal to $34.64\ cm^3$ .

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3 years ago

Choose six and five-sixths as an improper fraction and as a mixed number

ollegr [7]

$\text{Mixed number:}\ 6\dfrac{5}{6}\\\\\text{Improper fraction:}\ 6\dfrac{5}{6}=6+\dfrac{5}{6}=\dfrac{6\cdot6}{6}+\dfrac{5}{6}=\dfrac{36}{6}+\dfrac{5}{6}=\dfrac{41}{6}$

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4 years ago

What is the average rate of change of the function f(x)=2(3)x from x = 2 to x = 4?

ruslelena [56]

X) = 3 ln(x)

g(x=2) = 3 ln(2)
g(x=4) = 3 ln(4) = 3 ln(22) = 6 ln2

We have two ordered pairs:

(x,3 ln(2)) and (4,6 ln(2))

The average rate of change is the slope (m) of the secant line connecting the two points:

m = (6 ln2 - 3 ln2)/(4-2) = 3ln(2)/2 ≅ 1.04

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4 years ago

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Am nevoie de rezolvari pana la 1, dau coroana

Zanzabum

Answer:

si muy bien

Step-by-step explanation:

Si muy beim mi amigo

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3 years ago