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2 years ago

It is possible to construct a cube of twice the volume of a given cube using only a straightedge and compass.

Mathematics

2 answers:

Oxana [17]2 years ago

8 0

No, it is not.

That specific question is named the Delian Problem, where supposedly, Apollo, the Greek god, had asked for his altar to be doubled in size to stop a plague going around. The builders only had a compass and straightedge, but they couldn't figure out how to double the volume. The reason they couldn't was because there was no way to construct multiples of $\sqrt[3]{2a}$ , which was what was needed to double the volume.

This problem is one called the impossible problems from antiquity, or problems the ancient Greeks could not solve with only a compass and a straightedge. Another example of one of these problems is how to trisect an angle.

Likurg_2 [28]2 years ago

8 0

Answer:NO

Step-by-step explanation:

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At the market, potatoes cost 1.15 per pound.Imagine you bought 3.45 worth of potatoes. How many pounds of potatoes did you buy?

Leokris [45]

Answer:

You brought 3 lbs of potatoes

Step-by-step explanation:

divide 3.45 by 1.15

5 0

2 years ago

an employer will do a 50% match on your investment to a 401k retirement plan. If you decide to contribute a monthly amount of $2

faltersainse [42]

Answer:

The amount that should be in the account after 15 years is $95,321.85

Step-by-step explanation:

According to the given data, we have the following:

monthly amount of $220=R

interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate= 2.05%/12=0.1708%=0.0017

t=15years×12=180 months

In order to calculate how much should be in the account after 15 years, we would have to use the following formula:

Ap=R(1-(1+i)∧-t)

Ap=220(1-(1+0.0017)∧-180)

0.0017

Ap=162,04

0.0017

Ap=$95,321.85

The amount that should be in the account after 15 years is $95,321.85

6 0

2 years ago

Celina can walk 4 miles in 1 hour and can run 8 miles in 1 hour. What percent of Celina’s average running speed is her average w

Valentin [98]

Okay. So, we're looking for the percentage of Celina's running speed as her walking speed. Her running sped is 8 mph and her walking speed is 4mph. All we have to do is 4/8 = x/100. You put change/original and x/100, because we're looking for the percent of change from running speed to walking speed. Cross multiply the values to get 400 = 8x. Divide each side by 8 to isolate the "x". 400/8 is 50. x = 50. Celina's walking speed is 50% of her running speed. The answer is B: 50%.

5 0

2 years ago

Graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=x-6

nata0808 [166]

Answer:

Step-by-step explanation: x - 6

The given equation can be re-written as y = ---------

-3

Arbitrarily choose x = 0. Then:

x - 6 0-6

y = --------- = ----------- = 2, so (0, 2) is a point on the graph which is also the

-3 -3 y-intercept

Arbitrarily choose x = 6. Then y = 0, and (6, 0) is another point on the graph

which happens to be the x-intercept

arbitrarily choose x = 12. Then y = (12 - 6) / (-3) = -2. Then (12, -2) is

another point on the

graph.

Plot (12, -2), (6, 0) and (0, 2). Draw a line through these three points.

6 0

2 years ago

HELP 64 POINTS

kodGreya [7K]

Answer: {30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}

Step-by-step explanation:

1. The key indicates you how to read the values of the stem-and-leaf plot. Then, 1|5 means 15.

2. Then, the first digit is written in the colum Stem and the second digit in the column Leaf.

3. Based on this information, you can write the data given in the stem-and-leaf plot, as following:

15, 15, 18, 18, 19 (The first digit is 1 and the second digit are: 5,5,8,8 and 9)

20 (The first digit is 2 and the second digit is 0)

30, 33, 33, 39 (The first digit is 3 and the second digit are: 0,3,3 and 9)

41, 45 (The first digit is 4 and the second digit are: 1 and 5)

3. Then, as you can see, the data set represented by the stem-and-leaf plot is:

{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}

5 0

2 years ago

Read 2 more answers