How many factors of 10 does 1,000 in it???

There are two ways to work this problem, and they give different answers. The reason for that is that the data shown in the diagram is not consistent.

Method 1

Use the area to determine the base length. The area formula is ...

A = (1/2)bh

20 in^2 = (1/2)(b)(4 in)

(20 in^2)/(2 in) = b = 10 in

The missing side dimension is 10 inches.

__

Method 2

Use the Pythagorean theorem to find the parts of the base, then add them up.

Left of the "?" we have ...

left^2 +4^ = 6^

left^2 = 36 -16 = 20

left = √20 = 2√5

Right of the "?" we have ...

right^2 +4^2 = 8^2

right^2 = 64 -16 = 48

right = √48 = 4√3

So, the base length is ...

base = left + right = 2√5 +4√3

base ≈ 11.400 in

The missing side dimension is 11.4 inches. (The area is 22.8 in^2.)

7 0

4 years ago

How to you get the radical form?

Over [174]

Answer:

Note: this answer is kind of long so jump to picture to see a visual process.

In order to find the simplest radical form of a square root, you need prime factorize the number. In order to do this, you take a number and divide it by different prime numbers until all of its factors are now prime. We will use 24 as our example. 24 divided by 2 (which is prime) is 12. 12 divided by 2, is 6. 6 divided by 2 is 3. Therefor, our prime factorization of 24 is 2^3 * 3, which basically means 8 * 3. Then, take take out pairs of the same number and put on the OUTSIDE of the root. However, make sure that it is NEXT to the square root and not inside the mini hook that the square root makes. This means that that number is multiplying the square root of the number. Now, the only pair in this prime factorization is 2, so take two out of the prime factorization and that leaves us with square root 6 times 2, which is the answer.

Also, when taking out pairs, only take one number from the pair (in this case 2) and put it on the outside. If there is another pair, multiply that number by the other number. So if there was a pair of 3 and a pair of 2, take out 1 three and 1 two and multiply them and put on the outside.

Step-by-step explanation:

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5 0

3 years ago

Using the image above, if the density of the LEGO piece is 0.85 g/cm^3, what COULD be a possible measurement for the density of

grin007 [14]

The Lego is submerged under the oil and therefore, is more dense than the oil

The possible density of the oil is the option;

0.79 g/cm³

Reason:

Given:

The density of Lego = 0.85 g/cm³

Density of oil = Required

Solution:

The density of an object is the mass per unit volume it occupies

$Density = \dfrac{Mass}{Volume}$

Increase in density increases the mass a unit volume occupies, therefore, a

more dense object is heavier than a less dense object such that the less

dense object will float on a dense object

The oil is floating on the Lego, therefore, the Lego is more dense than the

oil, and we have;

Density of Lego > Density of oil

The density of Lego = 0.85 g/cm³

Therefore;

0.85 g/cm³ > Density of oil

From the given options, the option that has a density less than 0.85 g/cm³ is the the option 0.79 g/cm³

Therefore, the possible density of the oil is 0.79 g/cm³

Learn more here:

brainly.com/question/12864420

6 0

2 years ago