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:
6 + 3
+ 2
+ 
Step-by-step explanation:
Using the rule of radicals
×
⇔ 
Given
(3 +
)(2 +
)
Each term in the second factor is multiplied by each term in the first factor, that is
3(2 +
) +
(2 +
) ← distribute both parenthesis
= 6 + 3
+ 2
+ 
Do a proportion.
5/32= x/800
Cross multiply and divide
800 x 5= 4,000
4,000 divided by 32= 125
So answer is 125 students
Answer:
Hence the correct answer is option (A) 4.708.
Step-by-step explanation:
Solution:-
Now, we need to find the angle of the sector by using sector formula,
We now convert the angle to radian
Now we calculate the length of arc by arc formula
So, The length of steel that must be replaced is 4.708 ft.
Answer:
the answer is 10,000
Step-by-step explanation:
thats what i put on the test and got it right