The inequality that represents this phrase is n+6 > 31.
Answer:
The new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.
Step-by-step explanation:
Considering the vertices of the rectangle ABCD
A(-8, 6)
B(-4, 6)
C(-4, 4)
D(-8, 4)
When a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin, then the coordinate of image of point B can be calculated by multiplying the x and y coordinates of point B with 1/2.
i.e.
B(-4, 6) → B'(-4/2, 6/2) = B'(-2, 3)
Therefore, the new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.
Applying the Pythagorean theorem and the trigonometric ratios, the perimeter of triangle ABC is: 68.8 units.
<h3>What is the Perimeter of a Triangle?</h3>
The perimeter of a triangle = sum of its 3 sides.
Given the following:
Use the Pythagorean theorem to find AD considering triangle ADB as a right triangle:
AD = √(15² - 9²)
AD = 12 units
Use the trigonometric ratios to find DC and AC:
sin 30 = AD/AC
sin 30 = 12/AC
AC = 12/sin 30
AC = 24 units
tan 30 = AD/DC
tan 30 = 12/DC
DC = 12/tan 30
DC ≈ 20.8 units
BC = BD + DC = 9 + 20.8
BC = 29.8 units.
Perimeter of triangle ABC = BC + AB + AC
Perimeter of triangle ABC = 29.8 + 15 + 24
Perimeter of triangle ABC = 68.8 units.
Learn more about the perimeter of a triangle on:
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Tierra's equation: 1.05 x 100 = 105. She will have $105 in her savings account
Cameron's equation. 100 + 0.005 x 100 = 100.5. She will have $100.5 in her savings account.
Justice's equation: 100 x 1.005 = 100.5. She will have $100.5 in her savings account.
The account either has $105.00 or $100.50.
Answer: $244.55
A = $250 ; r=0.002 t= 11 [From 2007 to 2018 , t=2018-2007]