assuming you means k = log_2(3) [as log(2)3 is the same thing as 3log(2) due to multiplication being commutative]
given log(ab) = log(a) + log(b)
log_2(48) = log_2(3) + log_2(16)
Answer:
Step-by-step explanation:
1) Tangent makes 90 degrees with the radius. Hence
a) Angle ABD = 90-angle BDC = 90-61.3 = 28.7
b) Triangle BCD is isosceles since tangents have equal length.
Hence angle BCD = 180-(61.3+61.3) = 57.4
c) Angle BDC = 57.4 (since triangle BCD is isosceles)
d) Angle BAC and Angle BCD are supplementary. Hence angle BAC = 122,6
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2) Arc length of minor arc BC = 
b) ARc length of minor arc = circumference -minor arc
= 18.713
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3) circumference = pi d =
So, both equations are essentially linear equations.
Linear equations are written in the format
y = mx+b, where
m represents the
slope/slope intercept and
b represents the
y-intercept.
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Part Athe slope and y-intercept
y = mx +b
m - the slope; b- y-intercept
therefore;
y = 6x - 4
m = 6; b = -4y = 5x - 3
m = 5; b = -3The coordinates of the point where the lines are crossed are the solution to the system of linear equations.
How to graph the lines:
y = 6x - 4
y-intercept (0; -4)
for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)
y = 5x - 3
y-intercept (0; -3)
for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)
***look at the img for graph reference***Part B:
x = 1; y = 2
Answer:
The cost of 5 jumpers will be £ 58.40 (one more can be taken for free), the cost of 4 T shirts will be £ 9.60, and the total cost of the purchase will be £ 68.
Step-by-step explanation:
Since a clothes shop has some special offers, for which T-shirts are buy one get one free and jumpers are 3 for 2, and the normal price of a T-shirt is £ 4.80 and the normal price of a jumper is £ 14.60, to determine how much does it cost to get 5 jumpers and 4 T-shirts using this offer as appropriate, the following calculation must be performed:
4 T shirts = 2 + 2
4.80 x 2 = 9.60
5 jumpers = 2 (+1) + 2
4 x 14.60 = 58.40
Therefore, the cost of 5 jumpers will be £ 58.40 (one more can be taken for free), the cost of 4 T shirts will be £ 9.60, and the total cost of the purchase will be £ 68.