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MA_775_DIABLO [31]
3 years ago
13

A zoo has 1,361 visitors on Saturday and 549 visitors on Sunday. What is the best estimate of the total number of visitors?

Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0

Answer:

1,900

Step-by-step explanation:

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Given that secant theta = Negative StartFraction 37 Over 12 EndFraction, what is the value of cotangent theta, for StartFraction
Iteru [2.4K]

cot\theta  =\frac{12}{35}

Step-by-step explanation:

sec\theta =\frac{37}{12}

⇔\frac{1}{cos \theta} =\frac{37}{12}

⇔cos \theta = \frac{12}{37}

we know that

sin \theta = \sqrt{1-cos^2\theta}

sin\theta =\sqrt{1-(\frac{12}{37})^2 }

sin\theta=\sqrt{\frac{1225}{1369} }

sin\theta = \frac{35}{37}

Therefore cot\theta =\frac{cos\theta}{sin\theta}  =\frac{\frac{12}{37} }{\frac{35}{37} }  =\frac{12}{35}  , for \frac{\pi}{2}

8 0
3 years ago
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An athlete trains on a circular track of radius 40 m and jogs 10 laps each day, 5 days a week. How far does he jog each week? Ro
mariarad [96]
Length of a circle=2πr
r=40 m
Length of the circular track=2*π*40m=80π m.

The athelete jogs each day 10 laps
1 lap-------------------80π m
10 laps-------------   x
x=(10 laps * 80π m) / 1 lap=800π m

Calculate how far he jog eache week (5 days).
1 day------------------800π m
5 days----------------   x
x=(5 days*800π m)/1day=4000π m=4000m * 3.141592...≈12566,37 m

solution: 12566 m

5 0
3 years ago
Solve this problem???​
Svetllana [295]

The denominator of the first term is a difference of squares, such that

4<em>a</em> ² - <em>b</em> ² = (2<em>a</em>)² - <em>b</em> ² = (2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)

So you can write the fractions as

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)/(2<em>a</em> + <em>b</em>)

Multiply through the second fraction by 2<em>a</em> - <em>b</em> to get a common denominator:

(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)²/((2<em>a</em> + <em>b</em>) (2<em>a</em> - <em>b</em>))

((4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²) / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

Expand the numerator:

(4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²

(4<em>a</em> ² + <em>b</em> ²) - (4<em>a</em> ² - 4<em>ab</em> + <em>b</em> ²)

4<em>ab</em>

<em />

So the original expression reduces to

4<em>ab</em> / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))

or

4<em>ab</em> / (4<em>a</em> ² - <em>b</em> ²)

upon condensing the denominator again.

8 0
3 years ago
The problem below has been solved incorrectly. Identify and explain the error.
mylen [45]

Answer:

If you look over the steps you can see that until 4x + x + 3 = 18, evertything is dandy. But the step after that 4x + x =21 seems a bit fishy.

Think about it they subtract 3 from both sides so the first side is correct

4x + x, but they added 3 to the other side:

(4x+x+3) - 3 = 18 - 3\\4x+x = 15

not

4x+x = 21

Then we solve for 4x + x = 15

5x = 15\\x = \frac{15}{5} \\x = 3

To solve for y we use :

y = x+3

y = 3+3 = 6

so (3,6) is the right answer

7 0
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SashulF [63]

2 - 4i - 3 + 6i =  - 1 + 2i

5 0
1 year ago
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