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Leya [2.2K]
4 years ago
14

Can someone help me I don't understand

Mathematics
1 answer:
sashaice [31]4 years ago
6 0

Step-by-step explanation:

Hey there!

From the above right angled triangle ABC;

Taking Angle ABC as reference angle;

Angle ABC = ???

Perpendicular (p) = AC = 15

Base (b) = AB = 47

Now;

Taking ratio of sin;

\tan( \alpha )  =  \frac{p}{b}

Keep value;

\tan( \alpha )  =   \frac{15}{47}

Simplify it;

\tan( \alpha )  = 0.3191489

Take tan to next side;

Angle ABC (alpha) = tan'(0.3191489)

Therefore, the measure of angle ABC is 17.70°.

<u>Hope it helps!</u>

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Find the common ratio of the geometric sequence.
Kay [80]

Answer:

The common ratio is \frac{1}{x^4}

Step-by-step explanation:

Geometric sequence:A geometric sequence is a sequence in which the ratio of any term to the preceding term of that term is always constant.

Common ratio: The ratio of any term to the  preceding term of that term.

The n^{th} term of a geometric sequence is represented by  a_n=ar^{n-1}.

The 1^{st} term of the sequence = a.

The sum of first n term is

S_n=\frac{a(1-r^n)}{1-r}

The common ratio = r.

Given geometric sequence,

\frac{1}{x^{10}} , \frac{1}{x^{14}}, \frac{1}{x^{18}},\frac{1}{x^{22}} ........

The common ratio is

=\frac{\textrm{second term}}{\textrm{first term}}

=\frac{\frac{1}{x^{14}}}{\frac{1}{x^{10}}}

=\frac{x^{10}}{x^{14}}

=\frac{1}{x^4}

6 0
4 years ago
You make 48 pints of pink paint by using 5 pints of red paint for every 3 pints of white paint.
abruzzese [7]
You use 18 pints of white paint and 30 pints of red paint
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Write the ratio of the first measurement to the second measurement.
vovikov84 [41]
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<span>10:17
</span>
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3 years ago
If f(x) = 3x - 12, what is f(2)?<br> -6<br> -18<br> 18<br> 6
dusya [7]

Answer: -6

Explanation: In this problem, we're given the function f(x) = 3x - 12 and we're asked to find f(2).

To find f(2) or the value of the function when <em>x </em>equals 0, we simply substitute 2 in for <em>x</em> in our function. So we have f(x) = 3(2) - 12 or 6 - 12 which equals -6.

So f(2) or the value of the function when <em>x </em>equals 2 is -6.

4 0
3 years ago
Read 2 more answers
Bismuth-210 is an isotope that radioactively decays by about 13% each day, meaning 13% of the remaining Bismuth-210 transforms i
Luden [163]

Answer:

Approximately 76.5 mg.

Step-by-step explanation:

Given,

The initial quantity of the Bismuth-210, P = 233 mg,

Also, the rate of decay per day, r = 13 %

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A=P(1-\frac{r}{100})^8

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\approx 76.5\text{ mg}

3 0
3 years ago
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