Answer:
i
Step-by-step explanation:
Answer:
Option 4.) month 4
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (3,27)
That means -----> For x=3 months, the populations in both functions are the same (the bacteria populations is 27)
therefore
For x> 3 months the f(x) population is greater then the g(x) population
So here’s a example and formula
Answer:
149.28 sq. inches
137.5 cubic inches.
Step-by-step explanation:
The cylindrical container has length or height (h) 7 inches and has a diameter of 5 inches i.e. radius (r) 2.5 inches.
Now, total surface area of the container =
=
= 39.28 + 110
= 149.28 sq. inches (Answer)
Again the volume of the container will be
=
= 137.5 cubic inches. (Answer)
Answer:

Step-by-step explanation:
<u><em>The complete question is:</em></u>
In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V. Circle V is shown. Line segments W V, X V, Z V, and Y V are radii. Lines are drawn from point W to point X and from point Z to point Y to form secants. Point U is on the circle between points W and X. What is the measure of Arc W U X in circle V?
The picture of the question in the attached figure
step 1
Find the measure of angle XWV
we know that
The triangle VWX is an isosceles triangle, because has two equal sides (VX=VW)
we have

so

Remember that an isosceles triangle has two equal interior angles
so
step 2
Find the measure of angle WVX
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so

substitute the given values

step 3
Find the measure of arc WUX
we know that
----> by central angle
we have

therefore
