Answer:
Option C, 14/21=9/21 is the proportion.
Step-by-step explanation:
Given:
a.5/7 = 10/12
b.9/15 = 12/18
c.4/6 = 8/12
d.14/21 = 9/12
We have to find the proportions.
In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.
Let's work with option C
⇒ 
To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).
Simplest form of
=
,
= 
Simplest form of
= 
Both sides in option C have equal ratios of 2/3.
So 4/6=8/12 is in proportion.
Answer:
The cliffs are home to many seabirds. Despite its name, there are few puffins (around 50 pairs during the April-July breeding season).
Step-by-step explanation:
1/sin^2x-1/tan^2x=
1/sin^2x-1/ (sin^2x/cos^2x)<<sin tan= sin/cos>>
= 1/sin^2x- cos^2x / sin^2x
= (1- cos^2x) / sin^2x <<combining into a single fraction>>
sin^2 x / sin^2x <<since 1- cos^2 x sin^2 x
=1
this simplifies to 1.
Answer:
Which one?
Step-by-step explanation:
First we have to find the area. To do that, we first have to find the side lengths of the square. Since a square has all four sides same length, we can find this by dividing: 52/4 = 13
Now we'll find the area in square meters: 13 * 13 = 169
So the area is 169 square meters.
So to find out how much that will cost, we will multiply the number of square meters by the amount it cost per square meter: 169 * $5 = $845
So it will cost $845