Answer:Edwin average rate of jogging in miles per hour is
2 miles per hour
At the end of 30 min Edwin completed the track 3 times before Jose.
Step-by-step explanation:
Hope this helps
I assume the volume of the larger pyramid is 108 ft^3, not 108 ft^2.
The scale factor of edges of two solids is x.
The scale factor of their areas is x^2.
The scale factor of their volumes is x^3
The areas have a scale factor of 18/8 = 2.25
The length have a scale factor of sqrt(2.25) = 1.5
The volumes have a scale factor of 3.375
108/3.375 = 32
Answer: 32 ft^3
Answer:
blue line : y = 3
black horizontal line : y = 0
black vertical line : x = 0
Step-by-step explanation:
it is really simple.
blue line : no matter what value we pick for x, the functional value for y is always 3. and that defines the equation y = 3 + 0*x or simply y = 3.
the same with the black horizontal line. the difference is that y is now always 0. so, y = 0.
Answer:
- 8
Step-by-step explanation:
Step 1:
- 50 - c = 5c - 2 Equation
Step 2:
- 50 = 6c - 2 Add c on both sides
Step 3:
- 48 = 6c Add 2 on both sides
Step 4:
- 48 ÷ 6 Divide
Answer:
c = - 8
Hope This Helps :)
4sin²(x) = 5 - 4cos(x)
4{¹/₂[1 - cos(2x)]} = 5 - 4cos(x)
4{¹/₂[1] - ¹/₂[cos(2x)]} = 5 - 4cos(x)
4[¹/₂ - ¹/₂cos(2x)] = 5 - 4cos(x)
4[¹/₂] - 4[¹/₂cos(2x)] = 5 - 4cos(x)
2 - 2cos(2x) = 5 - 4cos(x)
- 2 - 2
-2cos(2x) = 3 - 4cos(x)
-2[2cos²(x) - 1] = 3 - 4cos(x)
-4cos²(x) + 2 = 3 - 4cos(x)
- 2 - 2
-4cos²(x) = 1 - 4cos(x)
-4cos²(x) + 4cos(x) - 1 = 0
4cos²(x) - 4cos(x) + 1 = 0
[2cos(x) - 1]² = 0
2cos(x) - 1 = 0
+ 1 + 1
2cos(x) = 1
2 2
cos(x) = ¹/₂
cos⁻¹[cos(x)] = cos⁻¹(¹/₂)
x = 60, 300
x = π/3, 5π/3
[0, 2π) = 0 ≤ x < 2π
[0, 2π) = 0 ≤ π/3 ≤ 2π or 0 ≤ 5pi/3 < 2π
