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Rama09 [41]
3 years ago
10

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0

Answer:

The measure of angle θ is 7π/6. The measure of its reference angle is  <u>210°</u>

and sin θ is​ <u>-1/2</u>.

Step-by-step explanation:

The correct question is:

<em>The measure of angle θ is 7π/6. The measure of its reference angle is  ___</em>

<em>and sin θ is​ ___</em>

180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:

180° / π radians = x° / (7π/6 radians)

x = (180/π) * (7π/6 radians)

x = 210°

And sin(210°) = -1/2

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Ivanna bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $450 less than the desktop. She
GarryVolchara [31]

Solution:

According to the problem, the laptop costs $450 less than the desktop. Let x the cost of the laptop, then we get the following equation:

x\text{ + 450 = cost of the desktop}

now, the total finance charge of $409 is from 9% of the cost of the laptop and 6.5% of the cost of the desktop. According to this, we get the following equation:

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Applying the distributive property, we get:

0.09x+0.065x+29.25=409

now, placing like terms on each side of the equation, we get:

0.09x+0.065x=409-29.25

this is equivalent to:

0.155x\text{ = 379.75}

solving for x, we get:

x\text{ = }\frac{379.75}{0.155}=2450

this means that:

The cost of the laptop is x = 2450

and

The cost of the desktop is x+450 = 2450 +450 = 2900.

So that, we can conclude that the correct answer is:

Cost of the laptop = 2450

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Answer:

-8/3

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Answer:

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