Answer:
8:3
16:6
Step-by-step explanation:
First, let's check if 9 and 24 have any common factor. If they do have any common ones, we must find the GCF (greatest common factor).
Factors of 9: 1, 3, 9
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The common factors both of the numbers share and 1 and 3. To find the GCF, simply compare one of the factors to the other.
1 < 3
Now that we know the GCF, we can divide the two numbers in the ratio 24 : 9 by it (3).
24:9
24/3:9/3
<u>8:3</u>
Now that our ratio is simplified, it's going to be much easier to find more ratios that are equivalent. <u>8:3</u> is already one equivalent ratio, but if we multiply each number in the ratio by any other number, we can get a new equivalent ratio. Let's multiply each number in the ratio by 2:
<u>8:3</u>
8 ⋅ 2:3 ⋅ 2
<u>16:6</u>
<u></u>
So, another equivalent ratio to 24:9 (and <u>8:3</u>) is <u>16:6</u>.
Answer:
anglePUM = 3° , PM = 5, UM = √75
Step-by-step explanation:
anglePUM = 180 - 60 - 90 = 30° (∠sum of Δ)
cos60 = PM/10
PM = 10cos60 = 5
sin60 = UM/10
UM = 10sin60 = √75
The answer to the question
Answer:
C
Step-by-step explanation:
Using the rule of radicals
× 
⇔ 
Simplifying each radical before combining them.
= 
= 
× 
= 3
-----------------------------------------------------------------------------
= 
= 
× = 5
---------------------------------------------------------------------------
Hence
2(3) - 3(5
= 6 - 15
= - 9 → C
