Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x + 7 + 4x + 2 + 90 = 180 , that is
9x + 99 = 180 ( subtract 99 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ACB = 4x + 2 = 4(9) + 2 = 36 + 2 = 38°
∠ BAC = 5x + 7 = 5(9) + 7 = 45 + 7 = 52°
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Since the triangles are congruent then corresponding angles are congruent , so
∠ B = ∠ E
6x + 10 = 70 ( subtract 10 from both sides )
6x = 60 ( divide both sides by 6 )
x = 10
All of them??? or just one
30?
30pi = 2pi r
30pi / 2pi = 15
15 = r
double the radius to get the diameter
15)2 =30
Answer: In 5 years it will be worth £455
Step-by-step explanation:
Step 1
Given
The cost of the T.V. for Colin = £530.
The rate of depreciation per year = 3%
Time/ period = 5 years
Formulae to be used
F = P X (1 - r) ^ n
where
F = the future value after depreciation
P = the present value.
r =the interest rate per time period
n = the time/ periods
Step 2--- SOLVING
F = P X (1- r) ^ n
F= 530 x (1-0.03) ^ 5
=530 x 0.858734
=£455.129
Rounding up to the nearest penny where appropriate = £455
This can be solved by Newton's binomial formula
Tk+1 = (n k) a∧(n-k) b∧k k+1=7 => k=6, n=11 , a=-3x and b=-2y
T7= (11 6) (-3x)∧(11-6) (-2y)∧6 = (11*10*9*8*7)/(1*2*3*4*5) (-3x)∧5 (-2y)∧6
T7= 462 (-3x)∧5 (-2y)∧6
The correct answer is A.
Good luck!!!
