When can you simplify ratios

Mathematics

2 answers:

liq [111]2 years ago

8 0

You can simplify ratios like fractions; by dividing both numbers by a common denominator

riadik2000 [5.3K]2 years ago

4 0

Answer:

you can simplify rations just like you simplify fractions. Whenever you are able to evenly divide both parts of the ratio with out changing the equation's answer, you are able to.

for example

if it were 3:6, you can simplify this by dividing these both by 3, leaving you with 1:2.

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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

8 0

3 years ago

The height of a cone-shaped statue is 9 ft, and the diameter is 12 ft.

Pepsi [2]

I hope this helps you

Volume of cone =1/3.pi.r^2.h

Volume of cone =1/3.3,14.6^2.9

Volume of cone =339.12

3 0

2 years ago

Read 2 more answers

HELP ASAP! BEING TIMED!

Sloan [31]

Answer:

Step-by-step explanation: