When multiply or divide an inequality by a negative number, flip the direction of the sign (ex, from < to > or vice verca)
28>4-2p
minus 4 from both sides
24>-2p
divide both sides by -2 and don't forget to flip the sign
-12<p
p>-12
Area of rectangle = l × b
l = 70cm
b = 8cm
Area = 70 × 8 = 560cm²
Area of rectangle = l × b
l = 78cm
b = 15cm
Area = 78 × 75 = 1170cm²
<h3>
Answer: (5/9, -7/6)</h3>
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Explanation:
Since the center of dilation is (0,0), we multiply each coordinate of point B by the scale factor 1/3.
The coordinates of point B are x = 5/3 and y = -7/2
So we have
(1/3)*x = (1/3)*(5/3) = (1*5)/(3*3) = 5/9 as the new x coordinate
and
(1/3)*y = (1/3)*(-7/2) = (1*(-7))/(3*2) = -7/6 as the new y coordinate
The point (5/3, -7/2) moves to (5/9, -7/6)
Given that,
ABC is a right angle triangle, C is the right angle.
To find,
cosB = ?
Solution,
The sum of angle of a triangle is equal to 180 degrees. So,
∠A + ∠B + ∠C = 180°
Put ∠C = 90°
∠A + ∠B + 90° = 180°
∠A + ∠B = 90°
Taking cos with each term.
cosA+cosB = cos (90)
cosA+cosB = 0
cosB=-sinA
Hence, cosB = sinA.
