Answer:
x = 2
UV = 9 ft
VW = 6 ft
WU = 5 ft
Step-by-step explanation:
The perimeter of a figure can be represented as the sum of lengths of all of its sides. In this case we can write:
P = UV + VW + WU
Now, we can substitute the values which we have:
20 = 4x + 1 + 8 - x + 2x + 1
We can combine like terms...
20 = 5x + 10
5x = 10
x = 2
Since UV is represented by 4x + 1, we can substitute in x to find its length.
UV = 4x + 1
UV = 4(2) + 1
UV = 6 + 1
UV = 9
We can do the same for the other two sides:
VW = 8 - x
VW = 8 - 2
VW = 6
WU = 2x + 1
WU = 2(2) + 1
WU = 4 + 1
WU = 5
Answer:
8280 cal
Step-by-step explanation:
Q=mc(delta)T
Q=1200(0.115)(-60)
Q=8280 cal
I used 1200 g instead of 1.2 kg
Answer:
AH = 1 or 4
CH = 4 or 1
Step-by-step explanation:
An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...
AH/BH = BH/CH
AH·CH = BH²
The problem statement tells us AH + CH = AC = 5, so we can write
AH·(5 -AH) = BH²
AH·(5 -AH) = 2² = 4
This gives us the quadratic ...
AH² -5AH +4 = 0 . . . . in standard form
(AH -4)(AH -1) = 0 . . . . factored
This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.
Answer:
You could approximate pi to be 3.14, and divide that by 6.
Step-by-step explanation:
Answer:
The value of y is y = -8x + 1.
Step-by-step explanation:

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