Step-by-step explanation:
The volume of a pyramid or cone is:
V = ⅓ Ah
where A is the area of the base and h is the height.
The pyramid has a square base, so:
A = s²
A = (7 cm)²
A = 49 cm²
The height is 14 cm, so the volume is:
V = ⅓ (49 cm²) (14 cm)
V = 686/3 cm³
V ≈ 228.67 cm³
Answer:
1.248
Step-by-step explanation:
6/5 ⇒ 1.2
25/24 ⇒ 1.041666666666667 or approximately 1.04
1.2 * 1.04
= 1.248
Answer:
9.35
Step-by-step explanation:
24.31 divided by 2.6 = 9.35
10+45+16
The answer would be 71
Answer:
4x + 5y = - 23
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 4y - 5x = 20 into this form
add 5x to both sides
4y = 5x + 20 ( divide all terms by 4 )
y =
x + 5 ← in slope-intercept form
with slope m = 
given a line with slope m then the slope of a line perpendicular to it is
= -
, hence
= - 1 /
= - 
y = -
x + c ← is the partial equation
to find c substitute (- 2, - 3) into the partial equation
- 3 =
+ c ⇒ c = - 
y = -
x -
← in slope-intercept form
multiply all terms by 5
5y = - 4x - 23 ( add 4x to both sides )
4x + 5y = - 23 ← in standard form