Answer:
Step-by-step explanation:
Angle ADC and angle CDJ are complementary. That means that they add up to equal 90 degrees. Therefore,
4x + 3x - 8 = 90 and
7x = 98 so
x = 14
Sub in a 14 for x in 3x - 8:
3(14) - 8 = 34
Angle CDJ = 34 degrees
All this is, is plugging in numbers. Then taking the square root of it. The first one would be the square root of 6 squared - 4(5)(-3). That would simplify to the square root of 36+60. Then add the numbers to get the square root of 96. The square root of 96 is about 9.798. I hope that helped. If you still need help with the second one or with the rest of the formula (if there is one) just ask!
Answer: Weeping Woods or Slurpy Swamp.
1st let's calculate r the common ratio:
r = (-20)/4 = (100/-20) = -5
Value of nth term = a₁.rⁿ⁻¹, where a₁= 1st term and n, the rank
Value of nth term = 4r⁽⁷⁻¹⁾ = 4.(-5)⁶
Value of nth term = 62,500
Answer:
Number of small boxes is 50 and number of big boxes is 60
Step-by-step explanation:
let the number of small box represent x and the number of big box represent y
Hence total number of boxes = x + y = 110 ......................Eqn1
Total weight of boxes = 30x + 55y = 4800----------------Eqn2
Solving both equations simultaneously
From Eqn1, x = 110-y, substitute it into equation 2
Hence, 4800 = 30(110-y) + 55y
1500 = 25y
y = 60
X = 110 - 60 = 50
Number of small boxes is 50 and number of big boxes is 60
