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3 years ago

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An equilateral triangle has three sides of equal triangle. The perimeter of a shape is the sum of all the sides. What is the equ

ation for the perimeter of an equilateral triangle if P=perimeter and S= length of a side?
A. s=3P
B. P=s+s+s
C. P=3+s
D. P=3(s+s+s)

1 answer:

12345 [234]3 years ago

3 0

Answer:

p= s +s +s

Step-by-step explanation:

perimeter of equilateral triangle=sum of all sides

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23 points pleaseeee help

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Answer:3 one

Step-by-step explanation:

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(1 pt) A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the

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Answer:

Rate at which volume of the snowball decreasing = 90.48 cm³/min

Step-by-step explanation:

$\texttt{Volume of sphere, V =}\frac{4}{3}\pi r^3=\frac{4}{3}\pi \left (\frac{D}{2} \right )^3=\frac{1}{6}\pi D^3$

Differentiating with respect to time,

$\frac{dV}{dt}=\frac{d}{dt}\left (\frac{1}{6}\pi D^3 \right )=\frac{1}{6}\pi \times 3D^2\frac{dD}{dt}\\\\\frac{dV}{dt}=\frac{1}{2}\pi D^2\frac{dD}{dt}$

Substituting

D = 12 cm and rate of change of diameter = 0.4 cm/min.

$\frac{dV}{dt}=\frac{1}{2}\pi D^2\frac{dD}{dt}\\\\\frac{dV}{dt}=\frac{1}{2}\pi \times 12^2\times 0.4=90.48cm^3/min$

Rate at which volume of the snowball decreasing = 90.48 cm³/min

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3 years ago

How many prime numbers are between 20 and 70

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Step-by-step explanation:

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Find the smallest positive integer k such that 3240/k is a square number

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Answer:

10

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

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