Answer:
62.8 pls like and rate my answer
50 degrees doesn’t belong because
35 + 115 + 30 = 180 degrees
Hope this helped :)
Answer:
15, 60, and 61
Step-by-step explanation:
First we have to find the 3rd side length from 2 side length chosen. So let’s pick 8 meters and 11 meters, to find the third side length we use the Pythagorean theorem: c^2 = a^2 + b^2
c = 11^2 + 8^2 = 121 + 64 = 185 = 13.6
13.6 isn’t one of the answers so we can’t pick 11 & 8. Let’s try 11 & 15:
c = 15^2 + 11^2 = 225 + 121 = 346 = 18.6
18.6 isn’t one of the answers either. Let’s try 15 & 60:
c = 60^2 + 15^2 = 3600 + 225 = 3825 = 61.85
61.85 might be it but let’s try one more just in case:
c = 60^2 + 61^2 = 3600 + 3721 = 7321 = 85.6
Nope! That means 15, 60, and 61 are the answer. I hope this is correct!
Answer:
Options (1), (3) and (5)
Step-by-step explanation:
Equation that represents the relationship between the three sides of a triangle is,
a² + b² = c²
Where c = longest side of the triangle
If the length of the given sides satisfy the equation, triangle formed by the sides will be a right triangle.
Option A.
27 in, 36 in, 45 in
(45)² = (27)² + (36)²
2025 = 729 + 1296
2025 = 2025
True.
Option 2.
18 in, 22 in, 28 in
(28)² = (18)² + (22)²
784 = 324 + 484
784 = 808
False.
Option 3
10 in, 24 in, 26 in
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
True.
Option 4
20 in, 21 in, 31 in
(31)² = (20)² + (21)²
961 = 400 + 441
961 = 841
False.
Option 5
28 in, 45 in, 53 in
(53)² = (28)² + (45)²
2809 = 784 + 2025
2809 = 2809
True.
Therefore, Options (1), (3) and (5) will be the correct options.
9514 1404 393
Answer:
(d) 5a²
Step-by-step explanation:
![\displaystyle\sqrt[3]{125a^6}=\sqrt[3]{5^3a^6}=\sqrt[3]{(5a^2)^3}=\boxed{5a^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csqrt%5B3%5D%7B125a%5E6%7D%3D%5Csqrt%5B3%5D%7B5%5E3a%5E6%7D%3D%5Csqrt%5B3%5D%7B%285a%5E2%29%5E3%7D%3D%5Cboxed%7B5a%5E2%7D)
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The applicable rules of exponents are ...
(a^b)^c = a^(bc)
∛a = a^(1/3)
