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3 years ago

15

The rectangle shown has a perimeter of 84 cm and the given area. Its length is 6 more than 5 times its width. Write and solve a

system of equations to find the dimensions of the rectangle.

1 answer:

inysia [295]3 years ago

6 0

The answer is that the Width is equal to 10 and the length is equal to 36

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4 years ago

Help! What is the area of the triangle in this coordinate plane?

Novay_Z [31]

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Step-by-step explanation:

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3 years ago

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3 years ago

Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

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3 years ago

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natita [175]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers