A certain alloy contains 14.25% nickel. how much nickel is there in a piece weighing 375 pounds? round to the nearest hundredth.A.112.49
B.78.92
C.12.24
D.5344

Answers

Answer 1
Answer:

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 2
Answer: A percent is of 100: 14.25% = .1425
.1425x375=
53.4375
Second place to the right of the decimal is the hundredths so:  53.44lb

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What fraction of a £1 is eighty pence

Answers

I think it would 80/100 because £1 is 100 and we trying to work out the fraction of 80p of £1. So it would be 80/100. Hope this helps.
4/5 
put it this way
80/100
half it= 40/50
then simplify it= 4/5
easy!

How to solve scientific notation

Answers

To convert to scientific notation, start by moving the decimal place in the number until you have a coefficient between.






Given the Vertices of ΔABC are A (2, -5,) B (-4, 6) and C (3, 1), find the vertices following each of the transformations FROM THE ORIGINAL vertices :(I honestly have no idea what to do and I really need help with this one)

Answers

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)

What’s the function of the Unit Circle and why is it called the unit Circle?

Answers

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:

Final answer:

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.

Explanation:

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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The zeros of the function f(x) =(x+2) to the second power minus 5

Answers

(x+2)^2-5=0\n (x+2)^2=5\n x+2=-\sqrt5 \vee x+2=\sqrt5\n x=-2-\sqrt5 \vee x=-2+\sqrt5

Which equation represents the line that passes through the point (1, 5) and has a slope of -2?

Answers

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