Answer:
2 > 
Step-by-step explanation:
Given:
- Felicity's dog eats two cups of dog food per day :2
If the amount of food that Martin's dog eats is represented by using m
Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats:
So we have the inequality represents the situation is:
2 >
Answer:
<h2>The Possible range for x is : ]8 , 18[</h2>
Step-by-step explanation:
To can draw this triangle if:
4x - (2x - 6) < 42 < 4x + (2x - 6)
solve inequality 1 :
4x - (2x - 6) < 42 ⇔ 2x + 6 < 42 ⇔ 2x < 36 ⇔ x < 18 (1)
Solve inequality 2 :
42 < 4x + (2x - 6) ⇔ 42 < 6x - 6 ⇔ 48 < 6x ⇔ 8 < x (2)
from (1) and (2) we deduce that : 8 < x < 18
Answer:
14, 48, 50
Step-by-step explanation:
To check which set of side length can be used to form a right triangle we use pythagorean theorem
c^2 = a^2 + b^2
biggest side (hypotenuse is c^2)
(a) 14, 48, 50
2500= 196+2304
2500= 2500 that is true
(b) 30, 40, 60
3600= 900+ 1600
3600= 2500 that is false
(c) 14, 50, 60
3600= 196+2500
2500= 2196 that is false
(d) 10, 24,28
784=100+576
784=676 that is false
Answer:
2 real roots
Step-by-step explanation:
If the discriminant is any positive number, that means the quadratic will have 2 real roots, or solutions.
Since the discriminant, 36, is a positive number, this will apply.
So, if the discriminant is 36, there will be 2 real roots.
Letter B is the answer
Number of sides (n) = 8
Apothem (a) = 18.11 units
Side (s) = 15 units
Area of Octagon = (1/2)n*a*s
A of O= (1/2)*8*18.11*15
A of O= 1086.6 units^2
Area of Square = s^2
A of S = 15^2
A of S = 225 units^2
Area of Shaded Region = A of O - A of S
A of S.R. = 1086.6 units^2 - 225 units^2
A of S.R. = 861.6 units^2
A of S.R. = 862 units^2
LETTER B
