A certain alloy contains 14.25% nickel, 0.533 nickel is there in a piece weighing 375 pounds. So the correct answer is D.
A certain alloy contains 14.25% nickel.
A piece weighing 375 pounds.
A percent is of 100: 14.25% = 0.1425
0.1425 x 375 = 0.534375
Therefore, 0.534375 nickel is there in a piece weighing 375 pounds.
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Answer:
I. A' = (5,-5), B' = (-1,6), C' = (6,1)
II. A' = (5,-11), B' = (-1,0), C' = (6,-5)
III. A' = (-5,-2), B = (6,4), C' = (1,-3)
Step-by-step explanation:
We are given the vertices of ΔABC as A = (2,-5), B = (-4,6) and C = (3,1).
I. It is required to 'reflect the triangle about the line x= 3'.
This rule changes (x,y) to (x+3,y).
So, the new vertices are given by,
A' = (2+3,-5) = (5,-5)
B' = (-4+3,6) = (-1,6)
C' = (3+3,1) = (6,1)
II. It is required to 'translate the triangle 3 units to the right and 6 units down'.
This rule changes (x,y) to (x+3,y-6).
So, the new vertices are given by,
A' = (2+3,-5-6) = (5,-11)
B' = (-4+3,6-6) = (-1,0)
C' = (3+3,1-6) = (6,-5)
III. It is required to 'rotate the triangle by 90° about the origin counter-clockwise'.
This rule changes (x,y) to (y,-x).
So, the new vertices are given by,
A = (2,-5) implies A' = (-5,-2)
B = (-4,6) implies B = (6,4)
C = (3,1) implies C' = (1,-3)
Answer:
It is a unit of radius that is radius of 1. Thus, the distant to the middle to any edge is always 1.
Step-by-step explanation:
The Unit Circle, a circle with a radius of 1 unit, plays a key role in standardizing angles and distances in trigonometry and geometry. Angles can be measured using radians around the unit circle, converting between degrees and radians as needed. All points on a unit circle are equidistant from the center, aiding in understanding rotational scenarios.
The Unit Circle serves a crucial function in Mathematics, especially in subjects like trigonometry and geometry. The unit circle is a circle that has a radius of 1 unit, which is why it's called the 'Unit' Circle. This seemingly simple circle has profound implications because it standardizes measurement across the entire discipline of mathematics, enabling easier calculations and interpretations.
Radians, which are dimensionless units defining the ratio of arc length to the radius of a circle, are conventionally used to measure angles around the unit circle. A complete rotation or revolution covers 2π radians or 360 degrees. Hence, we can convert between radians, revolutions, and degrees for convenience in different calculations.
In a unit circle, all points on the circumference are equidistant from the center. This distinct property of the circle provides a solid basis for understanding rotational scenarios, which are essential in everything from measuring time to predicting the location of celestial bodies in astronomy.
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Answer:
y=-2x+7
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-2(x-1)
y=-2x+2+5
y=-2x+7