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:
1/2
Step-by-step explanation:
cot∅ = 1/tan∅
cot∅ = 1/2
Answer:
x = - 5
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 18 when x = 3 , then
- 18 = 3k ( divide both sides by 3 )
- 6 = k
y = -6x ← equation of variation
When y = 30 , then
30 = - 6x ( divide both sides by - 6 )
- 5 = x
The formula to calculate the experimental probability is "P(event) = Number of times event occurs/total number of trials"
The expiramental probability should be the fraction "21/47"
The theoretical probability should be the fraction "1/3" because the formula for theoretical probability is the number of favorable outcomes (5 dollar bill) over the total number of possible outcomes (10-dollar bill, one dollar bill, & 5 dollar bill). therefore, there is 1 favorable outcome, and 3 possible outcomes = 1/3.
Answer:
Width is 6; Length is 24
Explanation:
Key points:
Rectangle shape
Area
→
144
f
t
2
Width =
length
4
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Let the area be
A
=
144
Let the width be
W
Let the length be
L
