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AfilCa [17]
4 years ago
10

A can do a piece of work in 4 hours and B can do it in 6 hours. How much time would they take working together to finish the wor

k?
Mathematics
2 answers:
Kipish [7]4 years ago
8 0

Answer:

2.4 hours

Step-by-step explanation:

Let total work = X

Rate of work done = X ÷ time

Rate of A = X/4

Rate of B = X/6

If they work together, rate is the sum of their individual rates, i.e.

X/4 + X/6

= (3X + 2X)/12 (taking LCM)

=5X/12

Rate = X/time

5X/12 = X/time

time = X÷(5X/12)

time = X × 12/(5X)

time = 2.4 hours

Shortcut:

Product of individual times/sum of individual times

= (4×6)/(4+6)

=24/10

=2.4 hours

Whitepunk [10]4 years ago
6 0

Answer:

5 hours

Step-by-step explanation:

A = 4hours

B= 6 hours

Average of A and B = (4hours+6hours)/2 = 5hours

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Answer: X = 44.4 degrees

Step-by-step explanation: The figure given is a right angled triangle with two sides given as well as one angle unknown.

Angle X, which is the unknown, is the reference angle in this question. So we have an opposite which is the side facing the reference angle (line 7 units) and we have an hypotenuse which is the side facing the right angle (line 10). Having an opposite and an hypotenuse, we can use the trigonometric ratio of sine.

SinX = opposite/hypotenuse

SinX = 7/10

SinX = 0.7000

Looking up a table of values or checking the calculator, 0.7000 under sine of angles gives 44.4270

Therefore angle X is approximately 44.4 degrees (approximated to the nearest tenth)

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4 years ago
What is the domain of the function represented by these ordered pairs?
insens350 [35]

Answer:

A. {-2, -1, 0, 3, 5}

Step-by-step explanation:

The domain is the set containing the x-coordinates of all the points of the function.

{(<u>-2</u>, 1), (<u>0</u>, 0), (<u>3</u>, -1) (<u>-1</u>, 7), (<u>5</u>, 7)}

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4 0
3 years ago
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Vedmedyk [2.9K]

Answer:

adding both equations

4x+9y=5

-4x+7y=11

+ + =+

________

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putting the value of y in first eqn

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3 years ago
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posledela

Answer:

x=-3+√19, x=-3-√19

Step-by-step explanation:

x^2+6x=10

x^2+6x-10=10-10

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I hope this helps!

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