Answer:
8 m/s^2
Step-by-step explanation:
You can use the equation a = v^2 / r
That is acceleration is equal to velocity squared divided by the radius which in this problem is the length of the string. The velocity is 4m/s and the r the radius is 2 m. Now you can square 4 m/s to get 16 m^2/s^2 THEN you divide by 2 m and the m^2 turns to just m and the 16 to an 8. So, that leaves you with acceleration or in this case centripetal acceleration equals 8 m/s^2.
a = 8 m/s^2 or 8 meters per second squared.
Answer:
48°
Step-by-step explanation:
29+12+x = 89
41+x = 89
x = 48°
Answer:
y= 3x -5
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+b, where m is the gradient and b is the y-intercept.
Let's rewrite the equation of the given line in the form of y=mx+b, so we can find its gradient.
y +2= 3(x -1)
y +2= 3x -3 <em>(</em><em>expand</em><em>)</em>
y= 3x -3 -2
y= 3x -5
Gradient of given line= 3
Gradient of unknown line= 3,
since parallel lines have the same gradient.
Susbt. m=3 into the equation:
y= 3x +b
Substitute a coordinate to find the value of b.
When x= 1, y= -2,
-2= 3(1) +b
-2= 3 +b
b= -2 -3 <em> </em><em>(</em><em>-3</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
b= -5 <em>(</em><em>simplify</em><em>)</em>
Thus the equation of the line is y= 3x -5.
Answer:
2028 square inches
Step-by-step explanation:
The side length of the styrofoam cube measures 6 1/2 inches.
Step 1
We find the surface area of a cube
The formula is given as
Surface Area = 6a²
Where a = Side length of the cube = 6 1/2 inches
Hence,
Surface area of a cube = 6 × (6 1/2inches)²
= 253.5 square inches
Step 2
Huy is painting eight styrofoam cubes for a science project.
The total surface area that Huy will paint is calculated as:
1 styrofoam cube = 253.5 square inches
8 styrofoam cubes = x
Cross Mulitiply
x = 8 × 253.5 square inches
x = 2028 square inches
Therefore, the total surface area that Huy will paint is 2028 square inches.