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Nostrana [21]
2 years ago
15

I need some help, please

Mathematics
1 answer:
swat322 years ago
8 0

Answer:

i think probably x = 10

Step-by-step explanation:

sin(60°) = 5√3/x

√3/2 = 5 √3/x

√3 x = 10√3

x = 10

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Find the circumference of a circle who's diameter is 4
BabaBlast [244]
C=pid
d=diameter
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tada
if you want
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C=12.56 units
4 0
3 years ago
What is the inverse of function F f(x) 3-x/7
algol [13]

Answer: f^-1(x)=-7x+3 maybe ? i think

Step-by-step explanation:

8 0
3 years ago
Calculate the sample variance and sample standard deviation for the following frequency distribution of heights in centimeters f
Zolol [24]

Answer:

\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{22026.1}{171}=128.81

s^2 = \frac{2839948.85- \frac{(22026.1)^2}{171}}{171-1}= 16.59

s= \sqrt{16.587}=4.07

Step-by-step explanation:

For this case we can calculate the sample variance and deviation with the following table

Class               Midpoint (Xi)    fi        Xi*fi       Xi^2 *fi

120.6-123.6        122.1             17      2075.7   253443

123.7-126.7        125.2            49      6134.8    768077

126.8-129.8        128.3            29     3720.7    477365.8

129.9-132.9        131.4             41       5387.4   707904.4

133.0-136.0        134.5            35      4007.5   633158.8

___________________________________________

Total                                        171   22026.1    2839948.85

For this case we can calculate the mean or expected value with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{22026.1}{171}=128.81

Now we can calculate the sample variance with the following formula:

s^2 =\frac{\sum f_i X^2_i -[\frac{(\sum X_i f_i)}{n}]^2}{n-1}

And if we replace we got:

s^2 = \frac{2839948.85- \frac{(22026.1)^2}{171}}{171-1}= 16.59

And the standard deviation would be the square root of the variance and we got:

s= \sqrt{16.59}=4.07

7 0
4 years ago
3 sin 0 = 3 cos 20<br> what is the solution set?<br>​
lutik1710 [3]

Answer:

Step-by-step explanation:

3 sinθ=3 cos 2θ

sin θ=cos 2θ

sinθ=1-2sin² θ

2sin²θ+sin θ-1=0

2sin²θ+2sinθ-sinθ-1=0

2sin θ(sin θ+1)-1(sin θ+1)=0

(sin θ+1)(2 sin θ-1)=0

sin θ=-1=-sin 90=sin (180+90)

θ=270

or sin θ=1/2=sin 30,sin (180-30)

θ=30,150

solution set is {30,150,270}

8 0
3 years ago
If the diameter of a circular pond is x meter, what is the its circumference?​
nataly862011 [7]

Answer:

piex

Step-by-step explanation:

the circumference of a circle is pie times the diameter of the circle.

6 0
2 years ago
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