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Alexxandr [17]
3 years ago
9

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1300 seats. The student

s filled 1001 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Mathematics
1 answer:
Wewaii [24]3 years ago
3 0
77%

I like to use ratios and cross multiply for problems like this. Take the part (1001) over the whole (1300), and that equals x percent of 100 percent.

1001/1300 = x/100
100100 = 1300x
x = 77
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Step-by-step explanation: Hope this helps!!

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When renting a limo for prom, the number of people varies inversely with the cost per person. Originally there were 4 people and
ioda

Answer:The new cost per person= $19 when there are 12 people

Step-by-step explanation:

Step 1

Let Number of people be rep as N

And Cost per person = C

such that the relationship of  number of people which varies inversely with the cost per person is given as

N∝ 1/C

Introducing constant of proportionality, k, we have that

N= K/C

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Step 2

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4 0
2 years ago
Given that tan θ ≈ −0.087, where 3 2 π &lt; θ &lt; 2 , π find the values of sin θ and cos θ.
elena-s [515]

Answer:

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Step-by-step explanation:

Straightforward use of the inverse tangent function of a calculator will tell you θ ≈ -0.08678 radians. This is an angle in the 4th quadrant, where your restriction on θ places it. (To comply with the restriction, you would need to consider the angle value to be 2π-0.08678 radians. The trig values for this angle are the same as the trig values for -0.08678 radians.)

Likewise, straightforward use of the calculator to find the other function values gives ...

  sin(-0.08678 radians) ≈ -0.08667

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_____

<em>Note on inverse tangent</em>

Depending on the mode setting of your calculator, the arctan or tan⁻¹ function may give you a value in degrees, not radians. That doesn't matter for this problem. sin(arctan(-0.087)) is the same whether the angle is degrees or radians, as long as you don't change the mode in the middle of the computation.

We have shown radians in the above answer because the restriction on the angle is written in terms of radians.

_____

<em>Alternate solution</em>

The relationship between tan and sin and cos in the 4th quadrant is ...

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That is, the cosine is positive, and the sign of the sine matches that of the tangent.

This more complicated computation gives the same result as above.

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3 years ago
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