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.
The values are |-3.25| = 3.25 and |-4.25| = 4.25
<h3>How to determine the values of the expressions?</h3>
The expressions are given as
|-3.25| and |-4.25|
The above expressions are absolute value expressions
And as a general rule, an absolute value expression, when evaluated must follow the following rule
|±a| = a
Using the above as a guide, we have
|-3.25| = 3.25
Also, we have
|-4.25| = 4.25
Hence, the values of the expressions are |-3.25| = 3.25 and |-4.25| = 4.25
Read more about absolute value expressions at
brainly.com/question/13282457
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Answer:
Step-by-step explanation:
Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees. Examples: • 60° and 120° are supplementary angles.
Answer:
x = 3/4 or x = 0.75
Step-by-step explanation:
y=2x²-3x+4
y'=4x-3 = 0
x = 3/4 .... answer
or
x = - b/2a ...y=ax²+bx+c
x = - (-3)/(2*2) = 3/4
Answer:
- Lower bound ⇒ 855 kg
- Upper bound ⇒ 865 kg
Step-by-step explanation:
The upper bound is the highest number that a figure can be to be rounded off to the rounded figure.
The lower bound is the lowest number that a figure can be to be rounded odd to the rounded figure.
The lower bound of 860 to the nearest 10 is;
= 855 kg
855 is the lowest figure that can be rounded up to 860.
The Upper bound is;
= 865
865 is the highest figure because no figure above this can be rounded to 860.
<em>855 kg ≤ 860 kg < 865 kg</em>
