Answer:
x=73
Step-by-step explanation:
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.
Answer:
$305.9022863 or $305.90 (rounded to 2 decimal places)
Step-by-step explanation:
It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula
A= P(1+R)^n
A= the total amount P=Initial amount R= rate n=time period
P=$100 R=15% or 0.15(decimal) n=8 (years)
A= 100 (1.15)^8
A= 100(3.059022863)
A=305.9022863
Answer:
The answer to your question is 2(x - 9/2)(x - 3/5)
Step-by-step explanation:
Polynomial 20x² - 102x + 54
Process
1.- Find the Greatest Common Factor
20 102 54 2
10 51 27 2
5 51 27 3
5 17 9 3
5 17 3 3
5 17 1 5
1 17 17
1
GCF = 2
2.- Factor 2
2(10x² - 51x + 27)
3.- Factor 10x² - 51x + 27
Use the general formula to solve this equation
x = 
a = 10 b = -51 c = 27
x = 
-Simplification
x = 
-Result
x₁ = 9/2 x₂ = 3/5
(x - 9/2) (x - 3/5)
4.- Answer
2(x - 9/2)(x - 3/5)
