Answer:
Part a) The elevation of the road is 
Part b) The rise is 
Step-by-step explanation:
Part a) What is the elevation of the road to the nearest degree?
Let
y-----> the rise of the road ( vertical distance)
x ----> the run of the road (horizontal distance)
we have
y/x=1/10
we know that
The ratio y/x is equal to the tangent of the angle of the elevation of the road
Let
----> angle of the elevation of the road
Part b) If the road is two km long, how much does it rise?
using proportion
To factor this notable trinomial, you have to find two numbers that summes give -5 and multiplied give 6*(-25) = -150
Then let's call n1 and n2 the two numbers and a the number before x^2 (6)
ax^2+sx+fn = (ax + n1)(x + n2/a)
Numbers are -15 and +10
-15+10 = -5
-15*10 = -150
So
(6x-15)(x + 10/6)
Or write it as a sum
6x^2 + 10x - 15x - 25
And factor
6x^2 + 10x = 2x(3x+5)
-15x-25 = -5(3x+5)
(2x-5)(3x+5)
Answer:
29 3/4 cups
Step-by-step explanation:
total amount of tanner in the 3 containers = sum of tanners in each container
total cups in containers b and c = 2/3 x 12 3/4
2/3 x 51/4 = 17/2 cups or 8 1/2 cups
total capacity = 8 1/2 + 8 1/2 + 12 3/4 = 17 + 12 3/4 = 29 3/4
Answer:
r
≥
7
Step-by-step explanation:
Answer:
The answer is 115.
Step-by-step explanation:
6+4 equals 10, so $11.50 x 10 equals $115.
