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:
Exactly One Solution
Step-by-step explanation:
4x + 2 = x + 8
3x = 6 Simplify.
x = 2 Divide by 2.
Answer:
24.5
Step-by-step explanation:
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Answer:
y=x^4 is a function
Explanation:
A function is defined as given an equation, there should be only one corresponding, y value for any x value. In the table from the picture you attached, it is shown as for each x value, there is one corresponding y value. Therefore, x^4 is a function.
Answer:
36 : 4
Step-by-step explanation:
40 divided into ratio 9:1 is like 40 / (9 + 1) multiplied to both sides of 9:1
40 / (9 + 1) = 4, and if you multiply both sides by 4, you get 36 : 4