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3 years ago

A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?

Mathematics

1 answer:

Leona [35]3 years ago

6 0

Answer:

2x $\sqrt{15}$

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = $\sqrt{4}$ · $\sqrt{15}$ · $\sqrt{x^2}$

This can be simplified to be 2x $\sqrt{15}$

You might be interested in

Three cubes of the same metal, whose edges are 6, 8, 10 cm are meltedand formed into a single cube. Find the diagonal of the sin

allochka39001 [22]

Answer: 12√2 cm

Step-by-step explanation:

Cube 1: V = 6³ = 216

Cube 2: V = 8³ = 512

Cube 3: V = 10³ = 1000

New Cube: V = 1728

1728 = s³

12 = s

So, each side of the new cube is 12 cm.

Use Pythagorean Theorem to find the length of the diagonal:

12² + 12² = diagonal²

144 + 144 = diagonal²

288 = diagonal²

√288 = diagonal

12√2 = diagonal

3 0

3 years ago

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was to . If there were 12,7

Sever21 [200]

Answer: The question is incomplete

Step-by-step explanation: The answer to this question cannot be determined correctly since an important detail is missing.

However, let me explain how you would normally go about it by using an example of mine. If for example the ratio of yes votes to no votes was 8 to 5, and the question requires you to calculate how many yes votes were there as indicated in your question, then the first step would be to find the total number of both sides of the ratio. That is add 8 to 5 which gives you 13. This means if there was a total of 13 votes cast, every yes vote stands for 8 out of 13 votes and every no vote stands for 5 out of 13 votes.

To express it mathematically, every yes vote would be 8/13 of the total (12779) and every no vote would be 5/13 of the total (12779).

Therefore to determine how many yes votes there was, is calculated as follows;

Let yes votes be y and no votes be x'

y = (8/13) * 12779

y = 102232/13

y = 7864

Based on my example that the ratio of yes votes to no votes is 8 to 5,

Then the number of yes votes was 7,864.

7 0

3 years ago

An investment analyst has tracked a certain bluechip stock for the past six months and found that on any given day, it either go

anastassius [24]

Answer:

0.2109 or 21.09%

Step-by-step explanation:

In order to maintain the same price after two days, the stock must go up (U) on two days and go down (D) on two days, the sample space for this event is:

S={UUDD, UDUD, UDDU, DDUU, DUDU, DUUD}

There are 6 equally likely possible outcomes. The probability that the price of the stock will be the same as it is today is:

$P =6* (0.25*0.25*0.75*0.75)\\P=0.2109=21.09\%$