Answer:
Step-by-step explanation:
Given the following expression:
You need to apply the Product of powers property, which states that:
Then, you can rewrite the expression as following:
The next step is to descompose 27 into its prime factors:
Now you must substitute inside the given root. Then:
You need to remember that, according to Radicals properties:
Therefore, the final step is to apply this property in order to finally get the expression is its simplest form. This is:
5.
6 / t = 9 / (t+2)
9t = 6t + 12
3t = 12
t = 4 answer
The remaining length:-
6 / 4 = 11 / x
6x = 44 so x = 7.33 answer
6. 8 / w = 6 / (w - 5)
6w = 8w - 40
2w = 40 so w = 20 answer
The side marked w - 5 = 20-5 = 15 answer
8/14 = 20/x giving the top side = 35 answer
410 × 0.393 =161.13
feel free to ask if you don't understand
Pretty sure 40. i think its 40 because 120 divided by 80 is 1.5 which is half. so 80 divided by 2 = 40. not sure tho
Answer:
Yes
Step-by-step explanation:
In order to determine if a triple of values will form a triangle, we must apply the Triangle Inequality Theorem, which states that for a triangle with lengths a, b, and c:
a + b > c
a + c > b
b + c > a
Here, let's suppose that since the ratio of the sides is 3 : 4 : 5, then let the actual side lengths be 3x, 4x, and 5x, where x is simply a real value.
With loss of generality, set a = 3x, b = 4x, and c = 5x. Plug these into the Triangle Inequality to check:
a + b > c ⇒ 3x + 4x >? 5x ⇒ 7x > 5x ⇒ This is true
a + c > b ⇒ 3x + 5x >? 4x ⇒ 8x > 4x ⇒ This is also true
b + c > a ⇒ 4x + 5x >? 3x ⇒ 9x > 3x ⇒ This is true
Since all three conditions are satisfied, we know that a true triangle can be formed given that the ratio of their sides is 3 : 4 : 5.
<em>~ an aesthetics lover</em>