Answer:
d = 520 cm^3 e = 1717.66 cm^2
Step-by-step explanation:
d) The area of the face triangle is 40 and multiply that with the length, 13 to get 520.
e) The volume of the half circle is 190.85 and the volume of the cone is 1526.81 and add them
Answer:
it is 84
Step-by-step explanation:
Answer:
Hi there
Your answer is
40 ounces
Step-by-step explanation:
1lb = 16oz
2.5lbs = xoz
1lb = 16oz
*2.5
2.5lbs = 40oz
Make a system of equations:
0.10x + 0.25y = 3.95
x + y = 23
x + y = 23
Subtract 'y' to both sides:
x = -y + 23
Plug in -y + 23 for 'x' in the first equation:
0.10(-y + 23) + 0.25y = 3.95
Distribute 0.10:
-0.10y + 2.3 + 0.25y = 3.95
Subtract 2.3 to both sides:
-0.10y + 0.25y = 1.65
Combine like terms:
0.15y = 1.65
Divide 0.15 to both sides:
y = 11
Plug this into any of the two equations to find 'x':
x + y = 23
x + 11 = 23
Subtract 11 to both sides:
x = 12
So Sally has 11 dimes and 12 quarters.
Answer:
Step-by-step explanation:
We want to find the slope-intercept form of the equation that passes through the point (-2, 3) and is perpendicular to the line:
Note that this line has a slope of 1/4.
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
Since the slope of our old line is 1/4, the slope of its perpendicular line must be -4.
We are also given that it passes through the point (-2, 3). So, we can consider using point-slope form:
Let (-2, 3) be (<em>x₁, y₁</em>) and substitute -4 for the slope <em>m</em>. Hence:
Convert into slope-intercept form. Simplify:
In conclusion, the perpendicular line that passes through the point (-2, 3) is given by:
