Answer: (11, 7.5)
Step-by-step explanation:
((8, 12)+(14, 3))/2=
(8+14, 12+3)/2=
(22/2, 15/2)=(11, 7.5)
Answer:
C = 6.75n + 50
Step-by-step explanation:
The equation for the cost of renting the party room can be written in the form;
C= mn+k ......i
Where C = cost
n = number of people
Substituting the 2 cases into the equation we have,
Case 1
117.5 = 10m + k ......1
Case 2
151.25 = 15m + k .....2
Subtracting eqn 1 from 2 we have
151.25 - 117.50 = 15m - 10m
5m = 33.75
m = 33.75/5 = 6.75
Substituting m = 6.75 into eqn 1, we have
117.50 = 10(6.75) + k
k = 117.5 - 67.50
k = 50
Therefore, rewriting the eqn i, we have
C = 6.75n + 50
Answer:
x = 3.4
Step-by-step explanation:
recall that for a right angle with an internal angle θ,
cos θ = adjacent length / hypotenuse
in our case,
θ = 55 deg
adjacent length = x units
hypotenuse = 6 units
substitute these into the formula above
cos θ = adjacent length / hypotenuse
cos 55 = x / 6 (multiply both sides by 6)
x = 6 cos 55 (use calculator)
x = 3.4415
x = 3.4 (rounded to nearest tenth)
Answer:
$ 900
Step-by-step explanation:
Simple interest = Principle * Time * Rate / 100
Now by substituting :
27 = Principle * 2 * 1.5 / 100
Principle = 27 * 100 / 2 * 1.5
Principle = 2700 / 3
So Principle = $ 900
Hope it helps
Answer:
806.12 m
Step-by-step explanation:
<u>Step 1: Write the data</u>
<em>Side (s) = 12</em>
<em>Altitude (h) = 6</em>
<u>Step 2: Write the formula for surface area of right hexagonal pyramid</u>
<em>Area = 3√3/2*s² + 3*s*√(h²+3s²/4)</em>
<u>Step 3: Substitute values of 's' and 'h'</u>
<em>Area = 3√3/2*(12)² + 3*(12)*√[6²+3(12)²/4]</em>
Area = 806.12 m
Therefore, the total surface area of the pyramid is 806.12 m.
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