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3 years ago

How do I find angle OCD? pls help

Mathematics

1 answer:

Blizzard [7]3 years ago

8 0

Since AO is parallel to CD, the angles CAB and BCA will be congruent. Therefore they both equal 57. that gets you on the right track

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How many wholes are in 11/3?

lesantik [10]

There are 3 holes because if you do 4 thats to high cuz you would get 12 hope this is what you mean

5 0

2 years ago

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

4 years ago

Hey cylindrical water tank is being filled with the hose. The depth of the water increases by 1 1/4 ft./h how many hours will it

irakobra [83]

First off, let's convert the mixed fractions to "improper", keeping in mind that the water is increasing every passing hour by 1 and 1/4.

$\bf \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}}
\\\\\\
\stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}\\\\
-------------------------------$

$\bf \begin{array}{ccll}
feet&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{5}{4}&1\\\\
\frac{7}{2}&h
\end{array}\implies \cfrac{\quad \frac{5}{4}\quad }{\frac{7}{2}}=\cfrac{1}{h}\implies \cfrac{5}{4}\cdot \cfrac{2}{7}=\cfrac{1}{h}\implies \cfrac{5}{2}\cdot \cfrac{1}{7}=\cfrac{1}{h}
\\\\\\
\cfrac{5}{14}=\cfrac{1}{h}\implies h=\cfrac{14\cdot 1}{5}\implies h=\cfrac{14}{5}\implies h=2\frac{4}{5}$

3 0

3 years ago

Which function is graphed below?

photoshop1234 [79]

The answer for the question above is the B/Second one or

Y=3(1/3)^x

3 0

3 years ago

How to solve this problem by finding x

LekaFEV [45]

Answer:

X=140

Step-by-step explanation:

Firstly, any Quadrilateral has a total sum of its angle equal to 360 degrees

The attachment you are showing us shows that we already know two angles

(70)&(60) degrees. I am assuming the line DC is a tangent, so angle ADC must be 90 degrees since a full angle on a tangent is equal to 180 degrees and there is 90 from the other side (180-90=90). Now we know 3 angles and what you have to do is find X so that when you add them all up they make a sum of 360.

X+70+60+90=360

X=360-70-60-90

X=140

5 0

3 years ago

Read 2 more answers