2 years ago

If the arc length of a sector in the unit circle is

Mathematics

1 answer:

saul85 [17]2 years ago

4 0

Arc length is s=r x theta. The unit circle has r=1 so for an arc length of 3pi/2 the angle is 3pi/2 radians

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Answer: 7.7 years

Step-by-step explanation:

Given

The cost of HD TV is $700 and it is decreasing at the rate of 15% per year

After one year it becomes

$\Rightarrow 700-700\times 15\%\\\Rightarrow 700(1-0.15)$

after 2 year it becomes

$\Rightarrow 700(1-0.15)-700(1-0.15)\times 15\%\\\Rightarrow 700(1-0.15)(1-0.15)\\\Rightarrow 700(1-0.15)^2$

Suppose, after x years it becomes $200

$\Rightarrow 200=700(1-0.15)^x\\\\\Rightarrow \dfrac{2}{7}=0.85^x\\\\\text{Taking log both sides}\\\\\Rightarrow x=\dfrac{\ln (\frac{2}{7})}{\ln (0.85)}\\\\\Rightarrow x=7.7\ \text{years}$

Thus, it takes 7.7 years for the cost to come under $200.

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2 years ago

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aleksandrvk [35]

Answer:

all fractions containing integers are rational numbers is true I believe.

Step-by-step explanation:

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castortr0y [4]

A = -0.7
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The last option is correct

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3 years ago

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A math test has 40 questions. A student answers 85% of the questions correctly. How many questions did the student answer correc

Novosadov [1.4K]

Answer:

Step-by-step explanation:

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34 questions answered correctly

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