Hey can you please help me!
1 answer:
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 =
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Answer:
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x-----> the amount invested at 5%
50,000-x -----> the amount invested at 7%
so
substitute in the formula above
solve for x
therefore
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
8 is a whole number, so this will be the whole number part of our mixed number.
0.25 is a decimal, where 25 is in the HUNDREDths place, so we write 25 as a fraction over 100.
Simplify by dividing 25 to the numerator and denominator.
So our fraction is
0.55 is a decimal, where 55 is in the HUNDREDths place, so we write 55 as a fraction over 100.
Simplify by dividing 5 to the numerator and denominator.
So our fraction is
To convert this to a decimal, just divide 5 / 8
0.25 is a decimal, where 25 is in the HUNDREDths place, so we write 25 as a fraction over 100.
Simplify by dividing 25 to the numerator and denominator.
So our fraction is
0.55 is a decimal, where 55 is in the HUNDREDths place, so we write 55 as a fraction over 100.
Simplify by dividing 5 to the numerator and denominator.
So our fraction is
To convert this to a decimal, just divide 5 / 8