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 = 
40 ft of 60% (.6) = 24ft
Area- 24(40)=960ft
Answer:
Step-by-step explanation:
To simplify :
, when 
In order to simplify the given expression we will take the square root of the term inside the root.
The term in the square root are perfect squares (square of an integer), so, we can write them in square of the numbers.
⇒ 
[As 
]
On taking square root the square gets removed. So, we have,
⇒ 
⇒
Since , so the value would be negative.
So, simplified answer is
(Answer)
If Michael is pitched 20 balls he will at least hit ten of them!
This represents the function : y = log₆ (x).
Proof:
Rewrite this logarithmic function into an exponential form:
y = log₆ (x) ↔ x = 6^y
On the graph we see 2 major points A(1,0) and B(6,1). Plug them in x=6^y
1 = 6⁰ = 1 (true)
6 = 6¹ True, then this confirm that the graph equation is y = log₆ (x)
