<h3>
Answer: Choice A</h3>
Side = 5 ft, side = 15 ft, side = 3 ft
Explanation:
The two sides 5 ft and 3 ft add to 5+3 = 8 ft which is not larger than the 15 ft side. This is exactly why a triangle is not possible here.
If we want a triangle to happen, then adding any two sides must be larger than the third side.
If we want a triangle with sides a,b,c, then we need the following to be true
Refer to the triangle inequality theorem for more information.
Answer:
I think the answer is m= -91
Answer:
y=11
x=-4
Step-by-step explanation:
y =-x+7
2x-5y=-7
insert the first equation into the second like so...
2x+5x-35=-7
Now rearrange...
2x+5x=-7+35
Now solve...
7x=-28
x=-4
Now incert x in any equation...
y=4+7
y=11
Answer:
Q1
<u>The exponential growth model for frogs:</u>
F- number of frogs, x- number of years, 1.22 - growth factor
<u>Calculations</u>:
- F(5) = 100(1.22)⁵ = 270
- a) F(10) = 100(1.22)¹⁰ = 730
- b) F(20) = 100(1.22)²⁰ = 5335
<em>All numbers rounded </em>
Q2
<u>The exponential growth model for bacteria:</u>
B- number of bacteria, x- number of hours, 1.8 - growth factor
<u>Calculations:</u>
- a) B(5) = 10(1.8)⁵ = 189
- b) B(24) = 10(1.8)²⁴ = 13382588
- c) B(168) = 10(1.8)¹⁶⁸ = 7.68 * 10⁴³
<em>All numbers rounded </em>
Q3.
<u>The exponential growth model for fish:</u>
F- number of fish, x- number of months, 1.02 - growth factor
<u>Calculations:</u>
- a) F(12) = 821(1.02)¹² = 1041
- b) F(120) = 821(1.02)¹²⁰ = 8838
<em>All numbers rounded </em>
