Calculate 12 x 15 by changing the numbers into friendlier numbers as we saw in the videos. Show how you work it out – write out
1 answer:
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For this case we have a function of the form:
Where,
A: initial amount
b: decrease rate
x: time in years
Substituting values we have:
For 2010 we have:
Answer:
an exponential decay function to model this situation is:
y = 1300 * (0.97) ^ x
The population in 2010 is:
y = 1083
A: initial amount
b: decrease rate
x: time in years
Substituting values we have:
For 2010 we have:
Answer:
an exponential decay function to model this situation is:
y = 1300 * (0.97) ^ x
The population in 2010 is:
y = 1083
Answer:
In the figure ∠ABO and ∠BCO have measures equal to 35°.
Step-by-step explanation:
<u><em>The complete question is</em></u>
For circle O, m CD=125° and m∠ABC = 55°
In the figure<____, (AOB, ABO, BOA) and <_____ (BCO, OBC,BOC) have measures equal to 35°
The picture in the attached figure
step 1
Find the measure of angle COB
we know that
----> by central angle
we have
therefore
step 2
we know that
AB is a tangent to the circle O at point A
so
ABC and ABO are right triangles
In the right triangle ABC
Find the measure of angle BCA
Remember that
---> by complementary angles in a right triangle
we have
substitute
step 3
In the triangle BCO
Find the measure of angle CBO
we know that
---> the sum of the interior angles in any triangle must be equal to 180 degrees
we have
-----> have measure equal to 35 degrees
substitute
step 4
Find the measure of angle ABO
In the right triangle ABO
we know that
----> by angle addition postulate
we have
substitute
----> have measure equal to 35 degrees
therefore
In the figure ∠ABO and ∠BCO have measures equal to 35°.
