Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
Answer:
Let the number be n.
3n - 4= -15
3n= -15+4
3n= -11
n= -11/3
n= -3.67 or n= -3 2/3
Step-by-step explanation:
Bring over 4 to the RHS of the equation and divide the RHS by 3.
Answer:
There is no solution because the slopes of the line are the same.
Step-by-step explanation:
4y - 4x = 48
+ 4x + 4x Add 4x to both sides
4y = 4x + 48 Divide both sides by 4
y = x + 12
Now set both equations equal to each other since they equal y
x + 12 = x - 11
-x - x Subtract x from both sides
12 ≠ -11 No Solution
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Answer:
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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