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3 years ago

BC= Round your answer to the nearest hundredth.

Mathematics

2 answers:

elena-14-01-66 [18.8K]3 years ago

8 0

Answer:

1.71 = BC

Step-by-step explanation:

take 70 degree as reference angle

using cos rule

cos 70 = adjacent / hypotenuse

0.3420 = BC / 5

0.3420*5 = BC

1.71 = BC

GrogVix [38]3 years ago

7 0

U can look online there are apps that give u the answers or look on safari!

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Calculate the median of the data set {27, 33, 42, 26, 27, 41, 25, 40, 29}

evablogger [386]

Answer:

should be 27 which is B so

3 0

3 years ago

41. Assuming that a man can complete the work alone in x days, his work in four days would be: a) b) X X C d) 4x x 42. If a man

Schach [20]

Percentage and ratio word problems require understanding of the relationship between variables from which the question is formed

The options that give the correct values of the duration of the work are;

$41. \ c) \ \dfrac{4}{x}$

$42. \ d) \ \dfrac{4}{x} + \dfrac{6}{y} = \dfrac{1}{5}$

43. a) 35 days

44. c) 21·a + 28·b = 1

45. c) (42, 56)

Reasons:

41. Number of days it takes a man to complete the work alone = x days

Therefore;

$The \ work \ done \ by \ the \ man \ in \ one \ day = \dfrac{1}{x}$

$The \ work \ done \ in \ four \ days \ by\ the \ man = 4 \times \dfrac{1}{x} = \dfrac{4}{x}$

The correct option is $c) \ \dfrac{4}{x}$

42. Number of days it takes a man to complete the work alone = x days

$Work \ done \ by \ a\ man \ in \ one \ day = \dfrac{1}{x}$

$Work \ done \ by \ four \ men \ in \ one \ day = \dfrac{4}{x}$

Number of days it takes a boy to complete the work alone = y days

$Work \ done \ by \ a \ boy \ in \ one \ day = \dfrac{1}{x}$

$Work \ done \ by \ six \ boys \ in \ one \ day = \dfrac{6}{y}$

4 men and 6 boys work for 5 days to complete the work

Therefore, work done by 4 men and 6 boys in 1 day is therefore;

$\dfrac{4}{x} + \dfrac{6}{y} = \dfrac{1}{5}$

The correct option is therefore;

$d) \ \dfrac{4}{x} + \dfrac{6}{y} = \dfrac{1}{5}$

43. As per the case study, we have;

Case 1

$\dfrac{4}{x} + \dfrac{6}{y} = \dfrac{1}{5}$

Which gives;

$\dfrac{6\cdot x + 4\cdot y}{y \cdot x} = \dfrac{1}{5}$

30·x + 20·y = y·x

Case 2

$\dfrac{3}{x} + \dfrac{4}{y} = \dfrac{1}{7}$

Which gives;

$\dfrac{4\cdot x + 3\cdot y}{y \cdot x} = \dfrac{1}{7}$

28·x + 21·y = y·x

Therefore;

30·x + 20·y = 28·x + 21·y

∴ 2·x = y

Plugging in the value of y = 2·x, in Case 1 gives;

$\dfrac{4}{x} + \dfrac{6}{2 \cdot x} = \dfrac{1}{5}$

$\dfrac{2 \times 4 + 6}{2 \times x} = \dfrac{14}{2 \times x} =\dfrac{7}{x} = \dfrac{1}{5}$

7 × 5 = x

x = 7 × 5 = 35

The number of days, x, it takes a man to complete the work alone, is given by option; a) 35 days

44. For the equation $\dfrac{3}{x} + \dfrac{4}{y} = \dfrac{1}{7}$ , if $a = \dfrac{1}{x}$ , and $b = \dfrac{1}{y}$ , we have;

$3 \cdot a+ 4\cdot y = \dfrac{1}{7}$

21·a + 28·y = 1

The correct option is option C. 21·a + 28·b = 1

45. A solution to the equation $\dfrac{3}{x} + \dfrac{4}{y} = \dfrac{1}{7}$ , is given by the values of x, and y, that gives;

$\dfrac{1}{14} + \dfrac{1}{14} = \dfrac{1}{7}$

We have;

3 × 14 = 42

4 × 14 = 56

Therefore, a solution to the equation is (42, 56)

The correct option is $c) \ \underline{ (42, \ 56)}$

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3 0

2 years ago

44 is 16% of what? how did you get your answer?

Illusion [34]

44*(0.16)=7.04
44+7.04=51.04

3 0

3 years ago

Xian and his cousin Kai both collect stamps. Xian has 52 stamps, and Kai has 72 stamps. The boys recently joined different stamp

arsen [322]

Answer:in 5 months xian and kai will have the same amount of stamps, the amount of stamps they will have is 152 by the time the 5 months come.

Step-by-step explanation:

I provided an attachment showing you how to solve this problem. Hope it helps!

7 0

3 years ago

A cistern is leaking 0.25 liters of water per minute. Approximately how many gallons of water is the cistern losing per hour? (P

nikklg [1K]

The cistern is losing approximately 3.963 gallons of water per hour.

Explanation

A cistern is leaking 0.25 liters of water per minute.

We know, 1 gallon = 3.785 liters

So, 0.25 liters = $\frac{0.25}{3.785}=0.06605...$ gallons

That means, the cistern is losing 0.06605....gallons of water per minute.

So, the amount of water losing in 1 hour or 60 minutes $=(0.06605...*60) gallons= 3.963 gallons$ (Approximately)

7 0

4 years ago

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