Answer:
Equivalent fractions and ratios mean that when simplified, they are the same one fraction or ratio. see examples below.
Step-by-step explanation:
For example, the fraction 1/2 is the same as 2/4 or 15/30 because when you simplify them, they are still 1/2. Therefore they are equivalent.
For example, the ratio 1:2 is the same as 5:10 or 10:20 since when broken down they all come down to 1:2. Hence they are equivalent.
Hope this answers your question.
Answer:
no it is not the same.
Step-by-step explanation:
it is not the same because 13/4 is smaller than 3/14. 3 1/4 includes a whole number, and 13/4 doesn't.
Answer:
sqrt(2) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 45 = x/2
2 sin 45 =x
2 ( sqrt(2)/2) =x
sqrt(2) =x
A. The equation to find the distance of the flowerbed from the hive is:
, where x is the distance.
B. The flowerbed is 2250 feet far from the hive.
<u><em>Explanation</em></u>
Suppose, the distance of the flowerbed from the hive is
feet.
The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.
As,
So, the time taken by the bee to reach the flowerbed
seconds and the time taken to fly back to the hive
seconds.
The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.
So, the equation will be.......

Thus, the distance of the flowerbed from the hive is 2250 feet.
Answer:
Value of x is, 8
Step-by-step explanation:
Given:
,.....[1]
To find the value of x:
Using exponent rules:
Taking square both sides in [1] we have;

Simplify:

or

Multiply both sides by
we get;

Simplify:

or

Simplify:
x = 8
Therefore, the value of x is, 8