Answer:
Step-by-step explanation:
trapezium area
A=a+b/2(h)
Whole: A=8+10/2(6)
A=54 cm
Hole: 5+7/2(3)
a=18
54cm-18cm= 36
area of shaded region is 36cm.
Answer:
The perpendicular line 4x − 5y = 20 has a slope of 4/5 and as such, the slope of the required line = -5/4
(y - 3)/(x + 4) = -5/4 simplify to get the required equation: 5x + 4y + 8 = 0
Answer:
726.572699
Step-by-step explanation:
According to differentials
(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)
Using this formula to solve (8.99)³, this can also be written as;
(8.99)³ = (9-0.01)³ where
x = 9
Δx = -0.01
Substitute this vales into the differential expression above
(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³
(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)
(9+(-0.01))³ = 729-2.43+0.0027-0.000001
(9+(-0.01))³ = 729-2.43+0.0027-0.000001
(9+(-0.01))³ = 726.572699
Hence 8.99³ = 726.572699 (Using differential)
Using calculator;
8.99³ = 726.572699
Answer:
500
Step-by-step explanation:
15% * x = 75
(15/100) * x = 75 Multiply both sides by 100/15
(15/100)*(100/15) = 75 * 100/15
x = 7500/15
x = 500
Answer 500
Proportion
15/100 = 75 / x Cross multiply
15x = 100*75 Combine the right
15x = 7500 Divide 15
15x/15 = 7500/15
x = 500
It's 78.38
You have to square root
