Answer:
43.8°
Step-by-step explanation:
Applying,
Cosine rule,
From the diagram attached,
x² = y²+z²-2yxcos∅.................... Equation 1
where ∅ = ∠YXZ
Given: x = 8.7 m, y = 10.4 m, z = 12.4 m
Substitute these values into equation 1
8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]
75.69 = (108.16+153.76)-(257.92cos∅)
75.69 = 261.92-257.92cos∅
collect like terms
257.92cos∅ = 261.92-75.69
257.92cos∅ = 186.23
Divide both sides by the coefficient of cos∅
cos∅ = 186.23/257.92
cos∅ = 0.722
Find the cos⁻¹ of both side.
∅ = cos⁻¹(0.7220)
∅ = 43.78°
∅ = 43.8°
Answer:
The correct option is;
Increasing one fifth unit/sec
Step-by-step explanation:
The equation that gives the curve of the particle of the particle is y = 5·x² - 1
The rate of decrease of the y value dy/dt = 2 units per second
We have;
dy/dx = dy/dt × dt/dx
dy/dx = 10·x
dy/dt = 2 units/sec
dt/dx = (dy/dx)/(dy/dt)
dx/dt = dy/dt/(dy/dx) = 2 unit/sec/(10·x)
When x = 1
dx/dt = 2/(10·x) = 2 unit/sec/(10 × 1) = 1/5 unit/sec
dx/dt = 1/5 unit/sec
Therefore, x is increasing one fifth unit/sec.
Answer:
Current price index number = 455
Step-by-step explanation:
Given:
Current cost of gasoline = $2.58 per gallon
1975 price of gasoline = 56.7 Cents = 56.7 / 100 = $0.567 per gallon
Find:
Current price index number = ?
Computation:
Current price index number = (Current cost / Reference cost) 100
Current price index number = ($2.58 / $0.567)100
Current price index number = (4.55)100
Current price index number = 455
I believe the answer for 17 is C. 18 I am not sure how to do. For 19, however, the answer is B. Hope I help, and sorry I can't answer 18.
Hey there,
It take 45 min to complete 75% of the wall
1% = 45 / 75
= 0.6
100 % = 0.6 x 100
= 60 min
It takes her 60 mins or 1 hour to finish building the wall.
Hope this helps :))
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