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Sedbober [7]
2 years ago
5

What is the area of the given figure?​

Mathematics
1 answer:
jeyben [28]2 years ago
8 0
Answer: 54 ft^2
——————————
Shape: Triangle
Formula: A = 1/2bh
A = 1/2bh = 1/2(12)9 = 54
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i

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3 years ago
Find the sum or difference.<br>81-3<br>3​
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48

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81 - 33 = 48

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For what value of constant c is the function k(x) continuous at x = 0 if k =
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The value of constant c for which the function k(x) is continuous is zero.

<h3>What is the limit of a function?</h3>

The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.

To determine the value of constant c for which the function of k(x)  is continuous, we take the limit of the parameter as follows:

\mathbf{ \lim_{x \to 0^-} k(x) =  \lim_{x \to 0^+} k(x) =  0 }

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= c }

Provided that:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= \dfrac{0}{0} \ (form) }

Using l'Hospital's rule:

\mathbf{\implies  \lim_{x \to 0} \ \  \dfrac{\dfrac{d}{dx}(sec \ x - 1)}{\dfrac{d}{dx}(x)}=  \lim_{x \to 0}   sec \ x  \ tan \ x = 0}

Therefore:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}=0 }

Hence; c = 0

Learn more about the limit of a function x here:

brainly.com/question/8131777

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5 0
2 years ago
Find the value of y and z.
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Answer:

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I hope this is good enough:

3 0
3 years ago
When you finally retire, you want to be able to draw from an account an annual salary of $100,000 for 20 years. Approximately ho
tankabanditka [31]
PV = P(1 - (1 + r)^-n) / r; where P is the periodic withdrawal = $100,000; r = rate = 5% = 0.05; n = number of periods = 20 years.

PV = 100000(1 - (1 + 0.05)^-20) / 0.05 = 100000(1 - 1.05^-20) / 0.05 = 100000(1 - 0.3769) / 0.05 = 100000(0.6231) / 0.05 = 100000(12.4622) = 1,246,221 ≈ $1,250,000
4 0
3 years ago
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