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sladkih [1.3K]
2 years ago
7

Robin can mow a lawn in 3 hours, while Brady can mow the same lawn in 4 hours. How many hours would it take for them to mow the

lawn together?
seven twelfths

twelve sevenths

7

12
Mathematics
1 answer:
BaLLatris [955]2 years ago
5 0
The answer is <span>twelve sevenths (12/7)
</span>
x - the job<span>
t - time to do the job x

</span><span>Robin can mow a lawn in 3 hours: x/3 * t
</span><span>Brady can mow the same lawn in 4 hours: x/4 * t

</span><span>If they work together, the total work will be the sum of their speeds:
</span>x = x/3 * t + x/4 * t = (x/3 + x/4)*t = (4x/12 + 3x/12) * t = 7x/12 * t

x = 7x/12 * t

Divide both sides by x:
x/x = 7x/12 * t/x
1 = 7/12 t
t = 1 : 7/12
t = 12/7
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Cos (A+B) =1/5<br>COS (A-B) = 3/5<br>Then find tan (A-B)​
Soloha48 [4]

Answer:

tan (A-B)​ = ± 4/3

Step-by-step explanation:

COS (A-B) = 3/5

COS² (A-B) = (3/5)² = 9/25 = 1 - sin² (A-B)

sin² (A-B) = 1 - 9/25 = 16/25

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The length of a rectangle is 3 m less than twice the width if the area of the rectangle is 66 5 m² find the dimensions
goblinko [34]

Let the width be x.

Then,Length = ( 2x - 3 ) m

<u>According to the question, </u>

Area of rectangle = 665 m² [ Given ]

Formula: Area of rectangle = Length × Width

\sf \implies \: length \:  \times breadth = 665 \: m {}^{2}

\sf\implies \: (2x - 3) \times x = 665

\sf \implies \: 2 {x}^{2}  - 3x = 665

\sf \implies \:  {2x}^{2}  - 3x - 665 = 0

<u>By split middle term </u>

\sf \implies \: 2 {x}^{2}  - 38x  + 35x - 665 = 0

\sf\implies \: 2x(x - 19) + 35(x - 19) = 0

\sf \implies \: (2x + 35) = 0 \: or \: (x  - 19) = 0

\sf \implies \: x =  \dfrac{ - 35}{2}  \: or \:  \: x = 19 \:

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Now,

Width of a rectangle = 19 m

Length of a rectangle = 2x - 3 = 2 × 19 - 3 = 38 - 3 = 35 m

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