[ Answer ]
[ Explanation ]
- Calculate Slope Given (-2, 6) & (0, 4)
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Slope (m) = -1
Ф = 315°
Distance (d) = 2.8284271247462
ΔX = 2
ΔY = -2
m - Slope
Ф - Angle of incline
Answer:
19. 16x-4 ; 20. 10y+1
Step-by-Step explanation:
19. The perimeter of a rectangle is expressed as P= 2(side1) + 2(side2)
If side1= x-3 and side2= 7x+1
P=2(x-3) + 2(7x+1)
=(2x-6) + (14x+2)
P=16x-4
or
P=4(4x-1)
20. The perimeter of a triangle is expressed by adding all three sides together.
If side1=3y+5 side2=y-4 side3=6y
P=(3y+5)+(y-4)+(6y)
P=10y+1
5.66
5.723
23/4 = 5.75
5 8/11 = 5.727
least to greatest : 5.66 , 5.723, 5 8/11, 23/4
** I find it easier to put the all in decimal form, then to mess with equivalent fractions
Answer:
im sorry i cant really see that...
Step-by-step explanation:
Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16