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3 years ago

For the percent 82%, (a) write a decimal and (b) write a fraction in lowest terms.

Mathematics

2 answers:

Tasya [4]3 years ago

5 0

Answer:

a) .82, b) 41/50

Step-by-step explanation:

a) The decimal form would be 0.82 - when writing a percentage as a decimal, we use 0.0-1.0 to represent 0% through 100%. Since it is 82%, it would translate to .82!

b) Since it is 82% out of 100%, we would write the fraction as 82/100. Additionally, you can divide it by 2 to get 41/50, thus reaching its simplest form!

ale4655 [162]3 years ago

3 0

Answer:

.82

41/50

Step-by-step explanation:

82%

Move the decimal 2 places to the left to change to decimal form

.82

Percent means out of 100

82/100

Divide by 2

41/50

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2 years ago

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Answer:

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Step-by-step explanation:

As you have marked, the relevant sides are the adjacent side and the hypotenuse. The mnemonic SOH CAH TOA reminds you ...

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2 years ago

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, usi

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2 years ago

In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C

r-ruslan [8.4K]

Answer:

90°

Step-by-step explanation:

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Answered by GAUTHMATH

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2 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

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3 years ago