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Alik [6]
3 years ago
5

Is the following conditional true? If two angles are complementary, then their measures add up to 90 degrees.

Mathematics
1 answer:
ale4655 [162]3 years ago
3 0

Answer: Yes, it is true

Step-by-step explanation:

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The number of chairs on a ski lift is inversely proportional to the distance between them a lift has 70 chairs when there’s spac
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Answer:

Space between 80 evenly spaced chairs = 21m

Step-by-step explanation:

So, according to the given statement, we have the following expression:

No. of chairs ∝ \frac{1}{Distance.Between.chairs}

70 chairs are 24m apart, so it can be written as:

70  ∝ \frac{1}{24}

For, 1 chair , we divide both sides by 70

\frac{70}{70} ∝ \frac{1}{24(70)}

1 ∝ \frac{1}{24 (70)}               -----------------------(Equation 1)

<u>For 80 chairs:</u>

Multiply both sides of <em>Equation.1</em> by 80

80  ∝ \frac{80}{24 (70)}      

80  ∝ \frac{1}{21}      

So according to the above relation,

<em>80 evenly spaced chairs will have a space of </em><em>21 m</em><em> between them.</em>

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3 years ago
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The answer is 30, can I get the brainliest answer
5 0
3 years ago
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What is the equation of the line that represents the horizontal asymptote of the function f(x)=25,000(1+0.025)^(x)?
posledela

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\

Since\  \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0

5 0
3 years ago
If you don’t help me your a criminal
STALIN [3.7K]

Answer:

take angle U as reference angle

using sine rule

sin U=opposite/hypotenuse

sinU=42/42

sin U=1

sin 90=1

therefore the value of U is 90 degree

Step-by-step explanation:

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3 years ago
What is the range of the function f(x) = -4|x + 1| − 5?
lukranit [14]

Answer:

answer is A

Step-by-step explanation:

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