20% off means u r paying 80%
0.80(74) = 59.20 (without tax)
sales tax is 6.25%...
59.20 + 0.0625(59.20) = 59.20 + 3.70 = $ 62.90 <==with tax included
Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12
After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3
The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25
Answer: The scale factor is 0.25
Answer:
Length = 16 feet.
Width = 7 feet
Height = 8 feet
Volume = 896 cubic feet.
Step-by-step explanation:
There is a rectangular prism boiler room. 112 square feet is the floor area of the room.
Let the length of the room is L feet and width is W feet.
So, LW = 112 ...... (1)
Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get
(2 + 2W)W = 112
⇒ 2w + 2w² = 112
⇒ W² + W - 56 = 0
⇒ (W +8)(W - 7) = 0
⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}
Hence, from equation (2) we get L = 2W + 2 = 16 feet.
Now, 1 foot more than the width is the height H.
Hence, H = 7 + 1 = 8 feet.
Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)
Answer:
a) b) 2012, 1049 stores. 2014, 1041 stores. c) Yes it is a downsizing company.
Step-by-step explanation:
a)
s=year | f(s) = number of stores per year
1 | 1078
4| 1067
s=1 in 2003
b) For 2012, s=9. For 2014, s=11
c) In deed. Since the function shows a decreasing amount of JC Penney stores. Maybe this is a downsizing from this company, progressively closing some stores.
D and E. An acute angle is any angle that is less than 90(a right angle). A is an obtuse angle(more than 90). And B + C are right angles. Hope this helps you!