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iVinArrow [24]
4 years ago
10

A rectangular carpet measures 12 m by 5 m.

Mathematics
1 answer:
Zepler [3.9K]4 years ago
8 0

Answer:

\frac{1}{15}

Step-by-step explanation:

Area of the Rectangular Carpet=12*5=60m²

Area of the Square rug=2*2=4m²

Expressing the area of the rug as a fraction of the total area of the carpet, we have:

\frac{\text{Area of Rug}}{\text{Area of Carpet}}=\frac{4}{60}\\=\frac{1}{15}.

The fraction of the carpet that is covered by the rug is \frac{1}{15}.

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Answer:

<u>6.89 cm</u>

Step-by-step explanation:

Here, the equation is :

  • V = 1/3Bh

Substituting the known values :

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Ms. Caswell deposits $450 into an account earning 8% simple interest per year. How
ioda

Answer:

$144

Step-by-step explanation:

Use the simple interest formula, I = prt, where I is the interest money created, p is the starting amount, r is the interest rate as a decimal, and t is the amount of time.

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Determine the area of a triangle with A=27.8 B = 107.3 c=4<br><br><br> Answer: B) 10 units^2
Mila [183]

Correct question:

Determine the area of a triangle with A=27.8° B = 107.3° c=4

Answer:

Area of the triangle is 5.04 units²

Step-by-step explanation:

Given;

A = 27.8°

B = 107.3°

C = 180 - (27.8 + 107.3) = 44.9°

c = 4

Now, we determine the remaining two sides of the triangle using sine rule

\frac{Sine \ A}{a} = \frac{Sine \ C}{c} \\\\a =  \frac{Sine A*\ c}{Sine C} = \frac{Sine(27.8) \ *4}{Sine(44.9) } =2.64\\\\\frac{Sine \ B}{b} = \frac{Sine \ C}{c}\\\\b=  \frac{Sine B*\ c}{Sine C} = \frac{Sine(107.3) \ *4}{Sine(44.9) } =5.41

Apply Hero's formula;

A = \sqrt{s(s-a)(s-b)(s-c)} \\\\s = \frac{a+b+c}{2} = \frac{2.64\ +\ 5.41\ +\ 4}{2} = 6.025\\\\A = \sqrt{6.025(6.025-2.64)(6.025-5.41)(6.025-4)} \\\\A = \sqrt{6.025(3.385)(0.615)(2.025)} \\\\A = \sqrt{25.3989} = 5.04 \ units^2

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