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3 years ago

Julio cubes a number then takes the cube root of the result. He ends up with 20. What number did Julio start with

Mathematics

1 answer:

Vesnalui [34]3 years ago

6 0

Let us say that the number is x.

So the first step that Julio do is to cube the number so that:

x^3

Then the next he did was take cube root of the number, so that:

(x^3)^(1/3)

Solving this would result in:

x^(3/3) = x^1 = x

Since he ends up with 20, therefore:

x = 20

<span>Julio started and ended with the same number which is 20.</span>

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Plz read the question then solve

Oksi-84 [34.3K]

Answer:

A =80.5 ft^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

The base is 14 ft and the height is 11.5 ft

A = 1/2 * 14 * 11.5

A =80.5 ft^2

3 0

3 years ago

Distance between (-4,4) and (2,4)

9966 [12]

For this case we have that by definition, the distance between two points is given by:

$d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}$

We have to:

$(x_ {1}, y_ {1}) = (- 4,4)\\(x_ {2}, y_ {2}) = (2,4)$

Substituting:

$d = \sqrt {(2 - (- 4)) ^ 2+ (4-4) ^ 2}\\d = \sqrt {(2 + 4) ^ 2 + (4-4) ^ 2}\\d = \sqrt {(6) ^ 2 + (0) ^ 2}$

$d = \sqrt {36}\\d = 6$

ANswer:

$d = 6$

6 0

3 years ago

Read 2 more answers

An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X.

andrezito [222]

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.

Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.

In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.

Using law of cosines:-

AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).

AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).

AB² = 640000 + 1440000 - 2 * 960000 * 1/2

AB² = 2080000 - 960000

AB² = 1120000

AB = √(1120000) = 1058.300524

Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.

3 0

4 years ago

Read 2 more answers

Find the missing section. Answers must be in fraction form.

frozen [14]

Answer:

$\frac{1}{10}$

Step-by-step explanation:

We have a circle that is split in three sections, two of which we know and we are asked to find the third missing section.

For the circle, we know that 4/5 and 1/10 is fit. Now we need the last one, to solve, we need to get the same denominator and see how much is missing.

Since 1/10 is our highest denominator, let's change 4/5 to have 10 as a denominator. Which would be through multiplying 5 to get 10.

What times 5 equals 10?

Now multiply both numerator and denominator by 2 to get our portion.

$\frac{4*2}{5*2}$

$\frac{8}{10}$

Now we have the same denominator, let's add our two fractions and see how much we have left.

8/10 + 1/10

9/10

We have 1/10 missing, therefore 1/10 is the answer.

3 0

3 years ago

Fezzik, the giant is berated by Vizzini, who says he is nothing more than a “landmass.” What evidence shows you that Vizzini is

brilliants [131]

Answer:

What evidence shows you that Vizzini is wrong, that Fezzik has ... Fezzik, the giant is berated by Vizzini, who says he is nothing more than a “landmass. ... wrong, that Fezzik has value that extends beyond his large physique?

Step-by-step explanation:

5 0

3 years ago