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3 years ago

Can someone help me please .

Mathematics

1 answer:

____ [38]3 years ago

8 0

Answer:

Step-by-step explanation:

out of 180 you take out 140 so you get 40' for x and its a right triangle so out of 180-40' and 90' you will get 180-130=50' for y

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Write an equation of the line that passes through (-1,7) and is perpendicular to the line y=-1/8x -1

kirill115 [55]

Answer:

y = 8x + 15

Step-by-step explanation:

Step 1: Find slope of perpendicular line

<em>Take the negative reciprocal of the 1st equation</em>

m = 8

y = 8x + b

Step 2: Find <em>b</em>

7 = 8(-1) + b

7 = -8 + b

b = 15

Step 3: Rewrite perpendicular equation

y = 8x + 15

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4 years ago

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What is the area of the sector with a central angle of 49° and a radius of 11 cm? Use 3.14 for pi and round your final answer to

olga_2 [115]

Answer:

$\boxed{\text{51.71 cm}^{2}}$

Step-by-step explanation:

If the angle θ is in radians, the formula for the area (A) of a sector of a circle is

A = ½r²θ

If θ is in degrees

$A = \dfrac{1}{2}r^{2}\theta \times \dfrac{\pi \text{ rad}}{180^{\circ}}= \pi r^{2}\times\dfrac{\theta }{360}$

Data:

θ = 49°

r = 11 cm

Calculation:

$\begin{array}{rcl}A& = &3.14\times 11^{2}\times\dfrac{49}{360}\\\\ & = &3.14 \times 121 \times 0.1361\\ & = & \mathbf{51.71}\\\end{array}\\\text{The area of the sector is }\boxed{\textbf{51.71 cm}^{2}}$

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3 years ago