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3 years ago

What is the vaylue of x

Mathematics

1 answer:

qwelly [4]3 years ago

5 0

X hub I wanna use this one for the first day in a Oz morning and it’s raining outside

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How do you work this out?

Katarina [22]

Because ABCD is a rectangle, the length of CD is 12 cm.

We need to determine the length of DE. If we can do that, then the sum of the lengths of CD and DE represents the unknown: the length of CE.

To find the length of CE, we have to "solve" the upper triangle.

Here's an outline of what to do:

1. Show that BC=AD and find the length.
2. Note that angle CAD is 60 degrees. Why?
3. Note that angle EAD is 30 degrees. Why?
4. Find the length of ED
5. Add ED and DC, that is, ED + 12 cm. This is your answer.

Please ask questions if need be.

5 0

3 years ago

I need help on this problem someone please help

Hatshy [7]

The outlier is a because it is the most different value compared to the rest.

5 0

3 years ago

Read 2 more answers

Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your

Law Incorporation [45]

Answer:

According to the rule of 72, the doubling time for this interest rate is 8 years.

The exact doubling time of this amount is 8.04 years.

Step-by-step explanation:

Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.

By the rule of 72, we have that the doubling time D is given by:

$D = \frac{72}{Interest Rate}$

The interest rate is in %.

In our exercise, the interest rate is 9%. So, by the rule of 72:

$D = \frac{72}{9} = 8$ .

According to the rule of 72, the doubling time for this interest rate is 8 years.

Exact answer:

The exact answer is going to be found using the compound interest formula.

$A = P(1 + \frac{r}{n})^{nt}$

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

is double the initial amount, double the principal.

$A = 2P$

$r = 0.09$

The interest is compounded anually, so $n = 1$

$A = P(1 + \frac{r}{n})^{nt}$

$2P = P(1 + \frac{0.09}{1})^{t}$

$2 = (1.09)^{t}$

Now, we apply the following log propriety:

$\log_{a} a^{n} = n$

So:

$\log_{1.09}(1.09)^{t} = \log_{1.09} 2$

$t = 8.04$

The exact doubling time of this amount is 8.04 years.

4 0

3 years ago

i have 537 cookies and i need to divide them into 12 equal groups. how many cookies are in each group

katrin [286]

If you divide 537 in to 12 groups. each group would have 44 cookies and you would have 9 left.

5 0

3 years ago

Based o the sample results what percent of the opulation prefers reading a hard copy i fht e digital copy is 4, the hard copy is

Lisa [10]

Based on the sample results of the population the percentage of population that prefers reading a hard copy i fht e digital copy is 4, the hard copy is 21 and n equas 25 is 84%

Step-by-step explanation:

From the above question we know that .

Total number of population, n = 25

Number of people who prefer to read a digital copy = 4

Number of people who prefer to read a hard copy = 21

As per the question we need to find out the percentage of population who prefer to read hard copy.

So we use the formula

Percent of population preferring hard copy = Hard copy/Total*100

Percent of population that prefers hard copy = 21/25*100

Percent of population that prefers hard copy = 0.84 × 100 = 84%

So , the percent of population who prefers to read a hard copy are about 84%.

3 0

3 years ago