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3 years ago

Digits after the decimal point (with the exception of leading 0's) become the ____ of the fraction.

Mathematics

1 answer:

gayaneshka [121]3 years ago

7 0

Your answer is the numerator

The denominator would be a power of 10. Then you could simplify

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Please help!! MathsWatch, Surd Expressions, Clip 207c

dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

$b=3+3+3+3=12\ mm$

step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

$6^2=3^2+CG^2$

$CG^2=6^2-3^2$

$CG=\sqrt{27}\ mm$

simplify

$CG=3\sqrt{3}\ mm$

therefore

$a=(6+3\sqrt{3})\ mm$

step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

$b=12\ mm$

substitute

$A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2$

8 0

3 years ago

The quotient of a number w and(-8), which is then increased by 7

Colt1911 [192]

Okay, since quotient is the answer to a division problem, you will divide w and -8. Increased means to add so, you will +7.

w/-8 +7 is what the expression looks like.

5 0

3 years ago

Hotel manager salary and 61,410 which is a 15 increase over the previous year salary what was the previous year salary

xxMikexx [17]

Do you mean 15% increase?

5 0

3 years ago

Find the amount of money a woman owes at the end of 3 years if 5% interest is compounded continuously on her $2500 debt

stepladder [879]

Answer:

$ 2904.59

Step-by-step explanation:

For CONTINUOUS compounding FV = PV e^it

FV = future value PV = present value i = decimal interest t = years

FV = 2500 e^(.05 * 3) = 2904.59

5 0

2 years ago

Is there any positive number b so that the expression logb (0) makes sense? Explain how you know?

topjm [15]

Answer:

No.

Step-by-step explanation:

The logarithm of a number to the base b of a certain number is the exponent

to which the base b is raised to equal the given value.

So say we have logb y = a, then

y = b^a

So if y = 0 then

0 = b^a

If b is a positive number then there is no value of a that makes y = 0.

for example y = b^0 = 1, y = b^1 = b etc.

7 0

3 years ago