The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of

Answers

Answer 1

Answer: $100\%-25\%=75\%=(75)/(100)=0.75\n\n100\%+20\%=120\%=(120)/(100)=1.2\n\n1.2\cdot0.75=0.9=0.9\cdot100\%=90\%\n\n100\%-90\%=10\%\n\nAnswer:Single\ reduction\ is\ 10\%.$

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What is the slope of a line that is perpendicular to the line y = -x + 4?The slope of the line is
y=5-6x

Answers

Answer:

1 is the slope

Step-by-step explanation:

For perpendicular lines, you need to find the negative recipricol which would be 1 for -1

Answer:

y=x+4

Step-by-step explanation:

just flipped the sign of the slope and the line will go the other way

this question is worded a little weird because the y is not what represents slope in the formula so. Assuming that, the answer to the first part should be correct

GCF of 24 , 36 , and 60

Answers

   24         36      60
1 × 24 1 × 36 1 × 60
2 × 12 2 × 18 2 × 30
3 × 8 3 × 12 3 × 20
4 × 6    4 × 9    4 × 15
      6 × 6 5 × 12
      6 × 10

GCF(24, 36, 60) = 12

To find the greatest common factor of any set:
1) List their prime factorizations.

24 = 2³ × 3
36 = 2² × 3²
60 = 2² × 3 × 5

2) Multiply together any factor these all share.

2² × 3 = 12 (GCF)

What is the aware please

Answers

Answer:

=HI .7.5 units

Step-by-step explanation:

What is the area of the figure? A.
256 square inches

B.
288 square inches

C.
320 square inches

D.
384 square inches

Answers

The answer is a. What you need to do is find the area of the shape if it were a perfect rectangle - (20)(16)=320 in^2. Next you make an imaginary square in the corner (it's a square because it's 8in by 8 in) and find the area - 8^2 or (8)(8)=64. Finally you subtract the values - 320 - 64 = 256 in^2 voila.

The scale on a map shows that 200 miles is represented by 5 inches on a map.Which proportion can be used to find the distance on the map,x, that represents 50 miles?

Answers

If you would like to know which proportion can be used to find the distance on the map that represents 50 miles, you can calculate this using the following steps:

200 miles ... 5 inches
50 miles ... x inch = ?

200 * x = 5 * 50
x = 5 * 50 / 200
x = 1.25 inch

The correct result would be x = 5 * 50 / 200.

Answer:

200 miles over 5 inches = 50 miles over x inches

200/5 = 50/x = 200x/250 =

x = 250/200 = 1.25

1.25 inches = 50 miles

Find the angle, in radians, in the figure below if S = 8 and r = 6.(view image)

precalc help

Answers

Answer:

Value of theta Ф = 1.33 radians

Step-by-step explanation:

We are given :

S= 8

r = 6

We need to find angle Ф

The formula used is: S=rФ

Finding theta Ф by putting values in formula:

$S=r\theta\n\theta=(S)/(r)\n \theta=(8)/(6)\n\theta=1.33$

So, value of theta Ф = 1.33 radians

Final answer:

The angle in the figure given the arc length (S) of 8 and the radius (r) of 6 is 1.33 radians.

Explanation:

Solution:

In this given problem, we have to find the angle in radians. We are provided with S = 8 and r = 6. The formula to know the distance between two points, designated by an angle is: s = rθ, where s is the arc length, r is the radius (distance from the center), and θ is the angle in radians.

Rearranging the formula to solve for the angle (θ), we get θ = s/r. Substituting the known values, θ = 8 / 6 = 1.33 radians.

Mathematically,

To find the angle θ in radians, we can use the formula:

θ = s / r

where s is the arc length and r is the radius.

In this case, s=8 and r=6, so:

θ = 8 / 6 = 4/3 radians

= 1.33

Learn more about Angle Calculation here:

brainly.com/question/22217196

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