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3 years ago

Which is considered the most famous impossible problem from greek antiquity

Mathematics

2 answers:

jenyasd209 [6]3 years ago

5 0

Answer: Doubling the cube

Step-by-step explanation: Apx

Sonbull [250]3 years ago

3 0

The most famous impossible problem from Greek Antiquity is doubling the cube. The problem is to construct a cube whose volume is double that of a given one. It is often denoted to as the Delian problem due to a myth that the Delians had look up Plato on the subject. In another form, the story proclaims that the Athenians in 430 B.C. consulted the oracle at Delos in the hope to break the plague devastating their country. They were advised by Apollo to double his altar that had the form of a cube. As an effect of several failed attempts to satisfy the god, the plague only got worse and at the end they turned to Plato for advice. (According to Rouse Ball and Coxeter, p 340, an Arab variant asserts that the plague had wrecked between the children of Israel but the name of Apollo had been discreetly gone astray.) According to a message from the mathematician Eratosthenes to King Ptolemy of Egypt, Euripides mentioned the Delian problem in one of his (now lost) tragedies. The other three antiquity are: angle trisection, squaring a circle, and constructing a regular heptagon.

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An arrow is shot vertically upward at a rate of 240 feet per second from ground level. Use the projectile formula to determine w

Juli2301 [7.4K]

Answer:

After 14.92 seconds, the arrow hits the ground.

Step-by-step explanation:

Given:

Initial velocity of the arrow is, $u=240\ ft/s or 73.152\ m/s$

The arrow goes up and come back to the same starting position. So, initial position is same as that of final position.

Therefore, displacement of the arrow is 0 m.

The displacement of the arrow is given as:

$s=ut-\frac{1}{2}gt^{2}$ (equation 1)

Plug all value in equation 1 and solve for $t$

$0=73.152\timests t-\frac{1}{2} \times9.8 \times t^{2}$

$0=73.152\timests t-4.9 \times t^{2}$

$0=t(73.152-4.9 \times t)$

$73.152-4.9\times t=0$ where $t\neq 0$

$4.9\times t=73.152$

$t=\frac{73.152}{4.9}= 14.92\ s$

∴ After 14.92 seconds, the arrow hits the ground.

5 0

4 years ago

Please help! determine the measure of the missing angles. show your work.

IrinaVladis [17]

Top triangle: if the know angle measures are 90 and 55 and there are a total of 180, 90 + 55 + a = 180. This means that angle a = 35°

Bottom triangle: if a is 35, the angle connected to it is 35 because they are vertical angles. The angles of this triangle are 35 + 120 + b = 180. Angle b = 25°

5 0

4 years ago

If the function h is defined by h(x)=<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" a

harkovskaia [24]

Given:

The function is:

$h(x)=x^2-3x+5$

To find:

The value of $h(2x+1)$ .

Solution:

We have,

$h(x)=x^2-3x+5$

Putting $x=2x+1$ , we get

$h(2x+1)=(2x+1)^2-3(2x+1)+5$

$h(2x+1)=(2x)^2+2(2x)(1)+(1)^2-3(2x)-3(1)+5$

$h(2x+1)=4x^2+4x+1-6x-3+5$

On combining like terms, we get

$h(2x+1)=4x^2+(4x-6x)+(1-3+5)$

$h(2x+1)=4x^2-2x+3$

Therefore, the required function is $h(2x+1)=4x^2-2x+3$ .

3 0

3 years ago

HELP NEEDED ASAP MATHS PLEASE!!!

BabaBlast [244]

You plug in the values for x in each respective equation.

a) f(3) = 3 + 1 which equals: 4.
so, f(3) = 4

b) g(3) = (3)^2 - 3 which equals 9 - 3, which equals 6.
so, g(3) = 6.

hope this helps! (:

5 0

4 years ago

Which number is composite? 23897993

-Dominant- [34]

Which number is composite in 23897993?
A composite number is a number that has multiple factors (9: 1,3,9)

8 0

4 years ago