Answer:
160 m²
Step-by-step explanation:
The surface area of the prism is the sum of the area of its surfaces. This prism has 5 surfaces, namely the front, back, right, left and bottom surface.
<u>Area of front surface</u>
Area of triangle= ½ ×base ×height
Base= 6 m
Height= 4 m
Area= 6(4)= 24 m²
<u>Area of back </u><u>surface</u>
Area of back surface
= area of front surface
= 24 m²
<u>Area of right </u><u>surface</u>
Area of rectangle= length ×breadth
Length= 7 m
Breadth= 5 m
Area= 7(5)= 35 m²
<u>Area of left </u><u>surface</u>
Area of left surface
= area of right surface
= 35 m²
<u>Area of bottom </u><u>surface</u> (base of prism)
Area of rectangle= length ×breadth
Length= 7 m
Breadth= 6 m
Area= 6(7)= 42 m²
The total surface area can be found by adding all of the surface areas we have found earlier.
Total surface area
= 24 +24 +35 +35 +42
= 160 m²
Since 20 min is 1/3 of a mile 20 min*3=1 hour. then u multiply 2/5 by 3 to get 6/5.
use SOHCAHTOA
S = sine
O = opposite edge
H = hypotenuse
T = Tangent
A = adjacent edge
C = cosine.
The extreme is where the runaway is indicated by the hypotenuse is the required distance. Therefore,
sine 7= 3/H
H = 3/sine 7= 24mi
This is exponential. Start with time increments of 1. If we have 4^x, then the bacteria population triples every hour (x=0 -> 1, x=1 -> 4, x=2 -> 16, etc). Now, the problem is that is quadruples every two hours. If you substitute one hour for two, the equation becomes 4^(x/2). (Now at 2 hours, it is 4, at 4 hours, it is 16, ect). I am assuming that the population starts at 1, but it doesn't have to. Let's say the starting population at time 0 is P. Then, the population at time x would be P*4^(x/2). You can verify this for any starting population P>=0 and for any time x>=0.
The key features of
polynomials are the vertex, axis of symmetry, x and y intercepts.
<span>1.
</span>The degree will help you find the end behavior.
<span>2. </span>The vertex shows you where it changes concavity.
<span>3. </span>X and y intercepts give you a couple of points
of reference.
<span>4. </span>Axis of symmetry is only applicable to even
degree polynomials.
I am hoping that these answers
have satisfied your queries and it will be able to help you in your endeavors, and
if you would like, feel free to ask another question.
