Seeing your method 1 answer, it seems like you forgot that 42 dollars is for 6 guests, not just 1. The unit rate is the rate per guest, and if we divide 42 by 6, we get 7dollars/1person as our unit rate. Since 7 dollars is our unit rate, we can multiply that by 72 to get 504 dollars, therefore making 500$ per night more cost effective.
Another way to do this is to do 42*72, as you did, but then dividing the final product by 6 due to that 42*72 is for 72*6=432 guests (we get the 6 since the unit rate is 7$ per person and 42/7=6). Doing that, we get 3024/6=504, which is still greater than 500
Let x, y be numbers.
The addition identity property states that 0 + x = x.
The commutative property states that x + y = y + x
9514 1404 393
Answer:
a) ∆ABC ~ ∆EDC by AA similarity
b) ED/AB = 3/4
c) 15 cm
Step-by-step explanation:
a) Two angles in each triangle are the same, so the AA similarity postulate can be used to declare the ∆ABC ~ ∆EDC. (Each triangle includes a right angle and angle C.)
__
b) Corresponding sides are ED/AB, DC/BC, EC/AC. The ratio of corresponding sides is ED/BC = (12 cm)/(16 cm) = 3/4.
__
c) Using the ratios identified above, we have ...
DC/BC = 3/4 = x/(20 cm)
x = 3/4(20 cm)
x = 15 cm
Answer:
2.92
Step-by-step explanation:
4 percent *73 =
(4:100)*73 =
(4*73):100 =
292:100 = 2.92
The distance of the ball from the foot of the tower is : 35.18m
The ball would be moved 57.2m away from the foot of the tower for the Angle of elevation to be halved.
<h3>What is angle of elevation?</h3>
Angle of elevation is the angle formed between the horizontal and the line of view from the vertical.
Analysis:
The height of the tower and the distance of the ball from the foot of the tower form a right angle triangle.
so we use trigonometry.
a) let distance of the ball from foot of tower be x.
so that, tan 52 = 45/x
x = 45/tan52
x = 45/1.279 = 35.18m
b) let the distance of the ball in the new position from the foot of the tower be y.
if the angle of elevation is halved, then new angle is 52/2 = 26°
tan 26 = 45/y
y = 45/tan26 = 45/0.487 = 92.4m
distance moved from old position to new position = 92.4 - 35.18 = 57.2m
In conclusion, the distance of the ball from the foot of the tower and the distance the ball should move to make its elevation 26° are 35.18m and 57.2m respectively.
Learn more about angle of elevation: brainly.com/question/88158
#SPJ1
