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Answer:
(4,0,-5)
Step-by-step explanation:
Since we move 4 points along +ve x-axis so, x coordinate is 4
We did not move any point along y-axis so y coordinate is 0
we moved 5 points along -ve z-axis so z coordinate is -5
so our position is (x,y,z) = (4,0,-5)
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:
Step-by-step explanation:
the current ages:
father= 32 yrs old
son=5 yrs old
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4(5+x) = 32+x
20+4x = 32+x
4x-x = 32–20
3x =12
x = 12/3
x = 4 years
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after the 4 years later the farther age will be 36 ( 32+4 = 36)
the son will be 9 ( 5+4= 9 years)
the x presents how the father will be after 4 times the age of the son
Answer:
cos^(-1)(12/13) = 22.62°
Step-by-step explanation:
Inverse trig functions are used to find angles. I was taught SOH CAH TOA: sine = opposite/hypotenuse, cosine = adjacent / hypotenuse, tan = opposite / adjacent.
Here, we have an adjacent side length and the hypotenuse. So we use inverse cosine.
