Answer:
S = £1.28
Step-by-step explanation:
Let the small, medium and large cakes be S, M and L respectively.
Given the following data;
Total profits = £532.48
Total number of cake = 192 cakes
Ratio of S:M:L = 7:6:11
Sum of ratio = 7+6+11 = 24
To find number of each cakes, we would divide the total number of cakes by the sum of ratio;
Number of each cakes = 192/24
Number of each cakes = 8
Next, we determine the exact number of each type of cakes.
Small = 7*8 = 56 cakes.
Medium = 6*8 = 48 cakes.
Large = 11*8 = 88 cakes.
For the profits;
Translating the word problem into an algebraic expression, we have;
M = 2S
L = 3S
56S + 48*(2S) + 88*(3S) = £532.48
56S + 96S + 264S = 532.48
416S = 532.48
S = 532.48/416
S = £1.28
Therefore, the profit for one small cake is £1.28
Answer:
I believe its -68 but i could be wrong, because that's not a rational number, but it could also be -4080/60
Answer:
ΔSTU ≅ ΔBDC
Step-by-step explanation:
In ΔSTU and ΔBDC,
∠S ≅ ∠B [Given]
∠T ≅ ∠D [Given]
SU ≅ BC [Given]
Since, two corresponding angles and non included side of the angles are equal in measure.
Therefore, ΔSTU ≅ ΔBDC [By AAS property of congruence]
Answer:
58 ft
Step-by-step explanation:
So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as: 
. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.
Multiply both sides by 80
Calculate sin(46) using a calculator (make sure it's in degree mode)
Simplify
Round this to the nearest foot
Here you go. Let me know if you have questions
