Answer:
26
Step-by-step explanation:
→ Utilise Pythagoras theorem
a² + b² = c²
→ Substitute in the values
10² + 24² = c²
→ Simplify
100 + 576 = c²
→ Simplify further
676 = c²
→ Square root both sides to isolate c
26 = c
60.
Because 60x0.40 is 24
Answers:
a = 2
b = 3
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Explanation:
Plug in x = 0 and y = 2 to find that
y = a*b^x
2 = a*b^0
2 = a*1
2 = a
a = 2
Then plug in x = 3 and y = 54 to determine the value of b
y = a*b^x
y = 2*b^x
54 = 2*b^3
2b^3 = 54
b^3 = 54/2
b^3 = 27
b = (27)^(1/3)
b = 3
So we have y = a*b^x update to y = 2*3^x
Answer:
19.2cm²
Step-by-step explanation:
Given parameters:
Radius of the circle = 7cm
Angle subtended by the arc = 45°
Unknown:
Area of the sector = ?
Solution:
To find the area of the sector, use the expression below;
Area of sector =
where r is the radius ;
Insert the parameters and solve;
Area of sector =
x
x 7²
Area of sector = 19.2cm²
The dimensions are 8 ft x 8 ft.
The total area is 64 sq ft.
The dimensions of a single tile are 2 1/2 x 1 1/2