Answer:
4. 988 people
5. a. 7 quarters
b. 6 quarters 2 dimes 1 nickel
c. 5 quarters 5 dimes
d. 4 quarters 7 dimes 1 nickel
1. $65.65, $5.05
2. $7.70, $15.40
3. a. 7 quarters
b. 6 quarters 2 dimes 1 nickel
c. 5 quarters 5 dimes
d. 4 quarters 7 dimes 1 nickel
4. 31 bags
5. $30, $4.50
Step-by-step explanation:
4. take value times percent.
5. think coins
1. find difference then divide by number of days (13)
2. multiply by 1/3 then find difference.
3. think coins
4. find area then divide by 200
5. just break the problem down and go quarter by quarter.
We know that :
Ф Product of the slopes of two lines perpendicular to each other should be equal to -1
Let the slope of the line perpendicular to given line be : M
Given equation of the line : y = -1/2x + 4
This line is in the form : y = mx + c, where m is the slope and c is the y intercept
Comparing with y = mx + c :
we can notice that slope of the given line is -1/2
⇒ M × -1/2 = -1
⇒ M × 1/2 = 1
⇒ M = 2
<u>Answer</u> : Slope of the line perpendicular to given line is 2
1) to this case you must match both equations
3x+2 = 2x-3 ⇒3x-2x = -3-2⇒x= -5
now the value of x substitute it in the any of two equations, y = 3(-5)+2 = -13
and the other equation is the same value
y = 2(-5)-3 = -13
the point is ( -5,-13)
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 = 
