Answer:
16.6 in
Step-by-step explanation:
The volume (V) of a pyramid is
V = 
area of base × h
where h is the perpendicular height and area of base = 14² = 196
here V = 980, so
× 196h = 980 ( multiply both sides by 3 )
196h = 2940 ( divide both sides by 196 )
h = 15
Consider the right triangle formed by the height h from the vertex to the midpoint of the base and the slant height (s) ← the hypotenuse
Using Pythagoras' identity in the right triangle
s² = 15² + 7² = 225 + 49 = 274 ( take the square root of both sides )
s = 
≈ 16.6
Answer:
12/5 as an improper fraction
2 2/5 as a mixed number
Step-by-step explanation:
3 * 4/5
Rewriting the whole number as a fraction
3/1 * 4/5
Multiply the numerators
3*4 = 12
Multiply the denominators
1*5 =5
Numerator over denominators
12/5
Rewriting as a mixed number
5 goes into 12 2 times (2*5=10 12-10=2) with 2 left over
2 2/5
Answer:
6.06 x 
Step-by-step explanation:
(5.25 x 
) / (8.7 x 
)
= (5.25 x ) x( )/ (8.7 )
= (5.25 x 
)/ (8.7 )
= 0.606 x 
= 6.06 x
F(x) = x+4
f(4) = 8, f(5) = 9
Change = 1
f(x) = 3x-7
f(-3) = -16, f(5) = 8
Change = 24/8 = 3
f(x) = 9x+1
f(-5) = -44, f(-2) = -17
Change = 27/3 = 9
f(x) = 2x+9
f(1) = 11, f(2) = 13
Change = 2
In order: f(x) = 9x+1, f(x) = 3x-7, f(x) = 2x+9, f(x) = x+4
