Answer:
-199
Step-by-step explanation:
- put -6 in place of x in equation
So, ($299.95)(. 30) = $89.99
$299.95 - $89.99= $209.96
($209.96)(.05)=$10.50
$209.96 + $10.50 = $220.46
No, she can't afford it
Answer:
(a) 1.54 seconds, -0.26 meters
(b) approach 3 meters
Step-by-step explanation:
(a) The value of x that minimizes height is 1.54 seconds.
The minimum height is -0.26 meters.
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(b) For large x, the height appears to asymptotically approach 3 meters.
Answer:
i) Area = 25 m²
ii) slope of roof = 36.87°
Step-by-step explanation:
(i) Let the midpoint of AB = M
Find BC by using Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of a right triangle)
Legs = MB and MC, hypotenuse = BC
⇒ 1.5² + 2² = BC²
⇒ 6.25 = BC²
⇒ BC = √(6.25) = 2.5
Area of a rectangle = width x length = BC x BE
⇒ area of BCFE = 2.5 x 5 = 12.5
⇒ area of ACFD = area of BCFE = 12.5
Therefore area covered by tiles = 12.5 + 12.5 = 25 m²
ii)
The angle of the slope of the roof will be angle ∠B of the right triangle ΔCMB.
Using sin(A)/a = sin(B)/b = sin(C)/c
sin(90)/2.5 = sin(B)/1.5
0.4 = sin(B)/1.5
0.6 = sin(B)
∠B = 36.87°
#1 - We're doing 3 * 3 * 3, so 3 * 3 is 9 and 9 * 3 is 27. So the answer you are looking for is C.) 27.
#2 - The answer is C.) 6/7. (Couldn't figure out a way to explain this sorry...)