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4 years ago

What is 33.5 % as a Decimal and a fraction?

Mathematics

2 answers:

Pie4 years ago

7 0

Answer:

Decimal: 0.035

Fraction: 67/200

Step-by-step explanation:

Convert the percentage to a fraction by placing the expression over

100

. Percentage means 'out of

100

33.5

100

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is

number to the right of the decimal point, move the decimal point

place to the right.

335

1000

Reduce the expression by cancelling the common factors.

Tap for more steps...

200

Convert the fraction to a decimal by dividing the numerator by the denominator.

0.335

Stolb23 [73]4 years ago

5 0

$p\%=\dfrac{p}{100}\\\\33.5\%=\dfrac{33.5}{100}=\dfrac{33.5\cdot10}{100\cdot10}=\dfrac{335}{1000}\\\\\dfrac{335}{1000}=0.335\\\\\dfrac{335}{1000}=\dfrac{335:5}{1000:5}=\dfrac{67}{200}$

$Answer:\\\\\boxed{33.5\%=0.335}\\\boxed{33.5\%=\dfrac{67}{200}}$

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(This is a "show your work" type of assignment)

joja [24]

Answer:

Part 1) It is not possible to apply the Pythagorean Theorem to find the missing side, because is not a right triangle

Part 2) I would use the law of the cosine, because to apply the law of sine I would need to know the value of angle C or angle B

Part 3) The length of side CB is $369\ units$

Part 4) The measure of angle C is $35\°$

Part 5) The measure of angle B is $88\°$

Step-by-step explanation:

Part 1) Can you use Pythagorean Theorem to find the missing side?

we know that

The Pythagorean Theorem is used in a right triangle

The triangle ABC of the figure is not a right triangle

therefore

It is not possible to apply the Pythagorean Theorem to find the missing side

Part 2) Would you use Law of Sine or Law of Cosine to find the length of side CB?

I would use the law of the cosine, because to apply the law of sine I would need to know the value of angle C or angle B

Part 3) Find the length of side CB. Show your work and round your answer to the nearest whole number

Applying the law of cosine

$BC^{2}=AB^{2}+AC^{2}-2(AB)(AC)cos(A)$

substitute the values

$BC^{2}=255^{2}+440^{2}-2(255)(440)cos(57\°)$

$BC^{2}=136,408$

$BC=369\ units$

Part 4) Find the measure of angle C. (Hint: use the other “Law”). Round your answer to the nearest whole degree

Applying the law of sines

$\frac{AB}{sin(C)}=\frac{CB}{sin(A)}$

substitute the values

$\frac{255}{sin(C)}=\frac{369}{sin(57\°)}$

$sin(C)=255*sin(57\°)/369=0.5796$

$C=arcsin(0.5796)=35\°$

Part 5) What is the measure of angle B? Show your work and round your answer to the nearest whole degree.

Remember that

the sum of the interior angles of a triangle must be equal to 180 degrees

substitute the values and solve for <B

$57\°+$

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3 years ago

Help me answer question 16 and 18. I already know how to do question 17.

irakobra [83]

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3 years ago

What transformation is used to transform figure a into figure b

svetlana [45]

A reflection across the y axis. You can tell by seeing that figure a looks like it's looking into a mirror at figure b. You can also tell because the points on figure a are the same distance away from the y-axis as they are on figure b.

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4 years ago

If the interest rate is 5% how long will it take you to double your money ?

Triss [41]

Answer:

If your money is earning a 5% interest rate annually, then it will take 14.4 years to completely double itself.

Step-by-step explanation:

An easy rule of thumb to remember is to take 72 and divide it by the intrest rate as if it was a whole number. For instance, if you were looking at an 8% interest rate, then it would take 9 years to double.

72/5 = 14.4

Hope this helps!

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3 years ago

lesantik [10]

For this case, what you should know is that if the object is similar, then to find its volume you must raise the scale factor to the cube.
We have then:
(3/4) ^ 3 = ((3 ^ 3) / (4 ^ 3)) = (9) / (64)
answer
the ratio of their volumes, expressed in lowest terms is
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4 years ago

Read 2 more answers