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dalvyx [7]
3 years ago
11

Solve for the indicated variable

Mathematics
1 answer:
anygoal [31]3 years ago
3 0

Answer:

243.911, or rounding to the nearest unit, 244.

Step-by-step explanation:

For this, you need to know a concept in Trigonometry called "Law of Sines". This states that the ratio of any side of a triangle to the sine of the angle opposite is equal for all cases in that triangle.

Knowing this:

\frac{200}{ \sin(48) }  =  \frac{x}{ \sin(65) }  \\ x \sin(48)  = 200 \sin(65)  \\ x =  \frac{200 \sin(65) }{ \sin(48) }  \\ x = 243.911

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denis23 [38]
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He must then add p liters of bleach to make 

a total of 10 L. That is, p + m = 10. So the system is 

m + p = 10, .20m + p = 9. Solving, 

<span>m = 1.25 L 20% solution, and thus p = 8.75 L bleach.</span>
7 0
3 years ago
Mirela cut wrapping paper in the shape of the net below to cover a present. What is the surface area of her gift?
Nadya [2.5K]

Answer is in the file below

tinyurl.com/wpazsebu

4 0
3 years ago
Solve for c:<br><br><br><br> c + (-20) = -12
alexira [117]

Answer:

8

Step-by-step explanation:

Isolate and solve for C

c + (-20) = -12\\c - 20 = -12\\c = -12+20\\c = 8

6 0
3 years ago
Read 2 more answers
Using a scale, Jamal found the mass of a rock to be 3000 grams. Kemen used a different scale and recorded a different mass for t
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3 0
3 years ago
Question a) Compare the Variability of Expenditure of Families in Two Towns given as follows: Number of families Expenditure (Ru
Karolina [17]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Number of families __________Expenditure

______midpoint (x) ____Town A __Town B

21-30 __25.5____________3 _______2

31-40 __35.5____________61 ______14

41-50 __45.5___________132 _____ 20

51-60 __55.5__________ 153 ______27

61-70 __65.5__________ 140 ______ 28

71-80 __75.5___________ 51 _______ 7

81-90 __85.5___________ 2 _______ 2

The variability is the variance and standard deviation :

The variance (s):

√Σ(x - m)²/Σf(x)

Town A:

m = Σ(X * f(x)) / Σf ; Σf = 542

Σ x * f(x) = (25.5*3) + (35.5*61) + (45.5*132) + (55.5*153) + (65.5*140) + (75.5*51) + (85.5*2)

= 29931 / 542

= 55. 22

Σf(x - m)² / Σf - 1 = [3(25.5-55.22)^2 + 61(35.5-55.22)^2 + 132(45.5-55.22)^2 + 153(55.5-55.22)^2 + 140(65.5-55.22)^2 + 51(75.5-55.22)^2 + 2(85.5-55.22)^2] / 541

= 76458. 4928 / 541

Variance = 141.32808

Standard deviation = √variance

Standard deviation = √141.32808

Standard deviation = 11.89

TOWN B:

m = Σ(X * f(x)) / Σf ; Σf = 100

Σ x * f(x) = (25.5*2) + (35.5*14) + (45.5*20) + (55.5*27) + (65.5*28) + (75.5*7) + (85.5*2)

= 5490 / 100

= 54.90

Variance :

Σf(x - m)² / Σf - 1 = [2(25.5-54.90)^2 + 14(35.5-54.90)^2 + 20(45.5-54.90)^2 + 27(55.5-54.90)^2 + 28(65.5-54.90)^2 + 7(75.5-54.90)^2 + 2(85.5-54.90)^2] / 99

= 16764 / 99

= 169.33

Standard deviation = √variance

Standard deviation = √169.3333

Standard deviation = 13.013

From the result above, Town A has lesser variability than Town B due to the slightly lower variance and standard deviation values.

8 0
3 years ago
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