So the line segment CD is 12.7 and half that is 6.35. I wanted this 6.35 so I can look at the right triangle there and find the angle there near the center. This will only be half the answer. So I will need to double that to find the measure of arc CD.

Anyways looking at angle near center in the right triangle we have the opposite measurement, 6.35, given and the hypotenuse measurement, 9.06, given. So we will use sine.

sin(u)=6.35/9.06

u=arcsin(6.35/9.06)

u=44.5 degrees

u represented the angle inside that right triangle near the center.

So to get angle COD we have to double that which is 89 degrees.

So the arc measure of CD is 89.

5 0

3 years ago

If a = 0.6 repeating and b = 0.75, then a x b = blank and a/b = blank

atroni [7]

Answer:

a*b = 1/2

a/ b = 8/9

Step-by-step explanation:

a = 0.66666 and b = 0.75

To multiply it we write the decimal numbers in fraction form

a= 0.666666...

Multiply by 10 on both sides

10 a = 6.66666...

a = 0.66666...

Subtract the second equation

9a = 6

divide by 9 on both sides

$a=\frac{6}{9}=\frac{2}{3}$

so 0.6666 = 2/3

Now we convert 0.75 into fraction form

$0.75=\frac{0.75}{1}$

Multiply top and bottom by 100 to remove decimal

$\frac{75}{100} = \frac{3}{4}$

so 0.75 is 3/4

a= 2/3 and b = 3/4

$a*b = \frac{2}{3} * \frac{3}{4} = \frac{6}{12} = \frac{1}{2}$

$\frac{a}{b} = \frac{\frac{2}{3}}{\frac{3}{4}} = \frac{2}{3} * \frac{4}{3} =\frac{8}{9}$

8 0

3 years ago

In January 2011 the rate of VAT increased from 17.5% to 20%

Sergio [31]

Answer:

Difference between in price of a car due to increase in VAT is $375.

Step-by-step explanation:

Since e have given that

Price of car = $15000

Rate of VAT = 17.5%

So, Amount of tax becomes

So, Total Price he has to pay is given by

but According to question,

Rate of VAT = 20%

So, Amount of tax becomes

So, Total price he has to pay is given by

Difference between both the price due to increase in VAT is given by

Hence, difference between in price of a car due to increase in VAT is $375.

7 0

3 years ago

The perimeter of a rectangle is 120 feet. the width of the rectangle.​

The perimeter of a rectangle is 120 feet. the width of the rectangle.