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marta [7]
3 years ago
15

Helpppppppp mathhhhhhhh

Mathematics
2 answers:
Alborosie3 years ago
8 0
Δ ABC is a right triangle:

To find angle C , you have to use trigonometry and precisely the tangent:
tan = side opposed to angle C/ side adjacent to C

tan c = 5/14 =0.357142. To find C, you should apply the inverse function in short tan⁻¹C (or arctan C),
Answer (use your calculator ):tan⁻¹(0.35714) =19°65 or 20°


ddd [48]3 years ago
3 0
That's like 20 degrees
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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
5x^(-2)-17x^(-1)+6<br> i’m so confused pls help<br> will give brainliest
laila [671]

It's a quadratic equation in disguise. If you let y=x^{-1}, then y^2=x^{-2}, and we can rewrite the equation as

5y^2-17y+6=0

Solve for y however you like; we get y=\dfrac25 and y=3.

But we want to solve for x, so we have

y=x^{-1}=\dfrac25\implies x=\dfrac52

y=x^{-1}=3\implies x=\dfrac13

5 0
3 years ago
The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie sold. Each cookie sells for $.95. How many cooki
anygoal [31]

Answer: the number of cookies sold must be greater than or equal to 800

Step-by-step explanation:

Let x represent the number of cookies made and sold in a month.

The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie. This means that the total cost of producing x cookies in a month would be

300 + 0.45x

Each cookie sells for $.95. This means that the total revenue from selling x cookies would be

0.95x

Profit = Revenue - cost

Therefore, the number of cookies that must be sold during one month for the profit to be at least $100 would be

0.95x - (300 + 0.45x) ≥ 100

0.95x - 300 - 0.45x ≥ 100

0.95x - 0.45x ≥ 100 + 300

0.95x - 0.45x ≥ 100 + 300

0.5x ≥ 400

x ≥ 400/0.5

x ≥ 800

7 0
3 years ago
2(5-8x-9x)+4(7x+7)=14
xenn [34]

Step-by-step explanation:

if you are solving for X' it is X=4

8 0
2 years ago
A triangle has two sides of lengths 7 and 12. What value could the length of the third side be? Check all that apply.
Ulleksa [173]
17 11 9 and 7

Remember that the third side must be greater than 5 and less than 19.
6 0
3 years ago
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