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GalinKa [24]
3 years ago
15

Which expression is equivalent to cot t sec t?

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0
\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\qquad 
% cosecant
csc(\theta)=\cfrac{1}{sin(\theta)}
\qquad 
% secant
sec(\theta)=\cfrac{1}{cos(\theta)}\\\\
-------------------------------\\\\
cot(t)sec(t)\implies \cfrac{\underline{cos(t)}}{sin(t)}\cdot \cfrac{1}{\underline{cos(t)}}\implies \cfrac{1}{sin(t)}\implies ?
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Lelechka [254]

Answer:

y = 100 * (0.75)^{30

Step-by-step explanation:

Given

a =100 --- Initial Amount

r= 25\% every 10 years

Required

The remaining amount after 300 years

To do this, we make use of:

y = a(1 - r)^T

Where

r = decay rate

T = the period of decay

In 300 years, there are 30 periods of 10 years.

i.e.

T = \frac{300}{10}

T = 30

y = a(1 - r)^T

y = 100 * (1 - 25\%)^{30

y = 100 * (1 - 0.25)^{30

y = 100 * (0.75)^{30

3 0
3 years ago
I REALLY NEED HELP!<br><br> △DLZ∼△MYR <br><br> What is YR?<br><br> (Picture Included!)
o-na [289]

Answer:

YR = 33.6 in.

Step-by-step explanation:

△DLZ∼△MYR

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YR = 7 * 28.8 / 6

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6 0
3 years ago
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KATRIN_1 [288]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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maw [93]

sum of all sides of triangle=180°

7x+13x+16x=180°

36x=180°

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x=5

angle D=7x

=7(5)

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angle E=13(x)

=13(5)

E=65°

angle F=16x

=16(5)

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7 0
2 years ago
What is ∛2197? Explain how you got your answer.
user100 [1]

Answer:

13

Step-by-step explanation:

We need to write our answer in exponential form. Ask yourself the question, "What times itself 3 times will give you 2197?" Your answer is 13^{3}. This will go inside of your cube root. You now have \sqrt[3]{13^{3} }. Since there's a power of 3 and a cube root, those cancel each other out, and your answer is 13.

5 0
3 years ago
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