Answer:
a) θ = b) r = 31.27 inch
Step-by-step explanation:
(a)
area of sector: * r² * θ
384 = * r² * θ
384 = * (24)² * θ
θ = 384/288
θ =
(b)
384 = * r² *
r² = 384 * 2 *
r² = 977.848
r = √977.848
r = 31.27 inch
Tom and Martin worked <u>9 hours</u> this week.
These are their hourly wages:
Tom: $2.15
Martin: $2.50
This means that:
Tom earned 9 x $2.15 in wages, which is equal to $19.35.
Martin earned 9 x $2.50 in wages, which is equal to $22.50.
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Now, we've been told that Tom and Martin sold $360 worth
of meals but we were not told how much they received in tips.
For all intents and purposes, let's say that they received $n
in tips. 15% of $n in tips would be less than 20% of $n
in tips. Now, Martin is already going to be receiving a higher
wage, and the fact that he is going to be receiving 20% of
$n in tips compounds the logical conclusion that at the end
of the week, he'd be leaving work with more money than Tom.
Answer:
Martin made more money than Tom.
Answer: y = 64
Step-by-step explanation:
y <> x² ----------------------- 1
y = kx² ----------------------- 2
36 = 3²k
36 = 9k
K = 36/9
= 4.
To find y when x = 4, we substitute for x in equation 2
y = kx²
y = 4²k
y = 16 x 4
y = 64
Total number of oz of honey = 12 oz.
Cost of 12 oz of honey = $5.40.
Cost per oz of honey = 5.40 divided 12 = $0.45 per oz.
Therefore,
a) Cost per ounce of honey = $0.45.
b) Number of ounces we can buy for one dollar = 12 divided by 5.40 = 2.22 oz approximatly.
c)
h = 2.22c, wherr h is the number of ounces of honey for c dollars.
c=0.45h, where c is the total cost of h number of ounces of honey.
d) Let us take c=0.45h equation for graph the situation.
x-axis would be for h number of ounces of honey and y-axis is the total cost c of h ounces of honey.
Let us find some values of h and c for the graph.
For equation: c=0.45h for h=1,we get c=$0.45.
If we plug h=2, we get c= 0.45*2 = $0.90.
If we plug h=3, we get c= 0.45*3 = $1.35.
Therefore, we would plot (1,0.45), (2,0.90) and (3,1.35) on the graph and draw a straight line.