1 year ago

2. Write an expression for the perimeter of a rectangle with a length of

Mathematics

1 answer:

solmaris [256]1 year ago

3 0

Answer:

Step-by-step explanation:

Write an expression for the perimeter of a rectangle with a length of

(3x² + x + 2) and a width of (-x² – 5x + 1).

P = 2 × (L + W)

2 × [(3x² + x + 2) + (-x² – 5x + 1)] =

if you want the result:

4x²−8x+6

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What is the area of a 45 degree sector of a circle with a radius of 12 in.

Elodia [21]

given ,

a circle of radius 12 inches

and $\theta$ = 45°

now we know that ,

$\\{Area \: of \: sector = \frac{\theta}{360\degree} \times \pi \: r {}^{2} } \\ \\$

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$\\\dashrightarrow \: \frac{45}{360} \times \frac{22}{7} \times 12 \times 12 \\ \\ \dashrightarrow \: \frac{1}{8} \times \frac{22 \times 12 \times 12}{7} \\ \\ \dashrightarrow \: \frac{22 \times 12 \times 12}{56} \\ \\ \dashrightarrow \: \frac{3168}{56} \\ \\ \dashrightarrow \: 56.57 \: inches {}^{2} (approx.)$