Answer:
7 cm²
Step-by-step explanation:
Area of a triangle = (Base * hight) / 2
A = (2* 7) /2 = 14/ 2 = 7 cm²
Answer:
20
Step-by-step explanation:
7 x 4 = 28
so you do 5 x 4 and get 20
Answer:
See explanation
Step-by-step explanation:
Solution:-
- We will use the basic formulas for calculating the volumes of two solid bodies.
- The volume of a cylinder ( V_l ) is represented by:

- Similarly, the volume of cone ( V_c ) is represented by:

Where,
r : The radius of cylinder / radius of circular base of the cone
h : The height of the cylinder / cone
- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.
- We will represent a proportionality of Volume ( V ) with respect to ( r ):

Where,
C: The constant of proportionality
- Hence the proportional relation is expressed as:
V∝ r^2
- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).
- Hence, the relations for each of the two bodies becomes:

&

Answer:
The equation of the line would be y = -3/2x + 9
Step-by-step explanation:
In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
2x - 3y = 12
-3y = -2x + 12
y = 2/3x - 4
Now that we have a slope of 2/3, we know that the perpendicular slope is -3/2 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 6 = -3/2(x - 2)
y - 6 = -3/2x + 3
y = -3/2x + 9