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seraphim [82]
2 years ago
6

At the 6th grade school dance, there are 132 boys, 89 girls, and 14 adults. What is the ratio of adults to boys at the school da

nce?​
Mathematics
1 answer:
Anna71 [15]2 years ago
8 0

Answer:

14 to 132

Step-by-step explanation:

We are given that there are 132 boys and 14 adults. Since the question is only asking for the ratio of adults to boys, we don't have to worry about the number of girls in this question. From here, we see that the question is asking for the ratio of adults to boys, so we put it in that exact order. Our answer is 14 to 132. I hope this helps and please don't hesitate to reach out with more questions!

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\Suppose that a person has an average heart rate of 88.6 beats/min. (Express your answers to problems in this section to the cor
vaieri [72.5K]

Answer:

He or she has 232,840,800 beats in five minutes.

Step-by-step explanation:

This question is solved by proportions.

In this question:

A year has 365 days.

Each day has 24 hours.

Each hour has 60 minutes.

Minutes in five years:

5*365*24*60 = 2,628,000 minutes.

How many beats in five minutes?

88.6 beats/min, 2,628,000 minutes. So the number of bears is:

88.6*2628000 = 232,840,800

He or she has 232,840,800 beats in five minutes.

8 0
2 years ago
Save me the headache
maxonik [38]

(9\sin2x+9\cos2x)^2=81

Taking the square root of both sides gives two possible cases,

9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1

or

9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

If \alpha=2x and \beta=\dfrac\pi4, we have

\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}

so in the equations above, we can write

\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1

Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi

(where n is any integer)

\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi

\implies x=n\pi\text{ or }\dfrac\pi4+n\pi

and in the second,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi

\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi

\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi

Then the solutions that fall in the interval [0,2\pi) are

x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4

5 0
3 years ago
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A contractor charges $1,200 for 100 swat feet of roofing installed. At this rate, how much does it cost to have 1,000 square fee
Oliga [24]

Answer:

12000

Step-by-step explanation:

1200=100

x=1000

x=100*1200/100

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4 years ago
Which statement describes why AABC and ADEF are congruent by SAS?
Amanda [17]

Answer:It is The first one.

Step-by-step explanation:

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PLS AWNSER FAST I WILL GIVE BRAILIEST
pav-90 [236]

Answer: I believe it's c.

Step-by-step explanation:

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