Answer: 12πins.
Step-by-step explanation:
Since the area if a circle = πr²
From the question
Area of the circle = 36πins²
To find the circumference of the circle, we need to find the common radius of the circle and this could be achieved from the area of the circle given above.
πr² = 36π, solving this gives. Divide through by π
r² = 36
r = +/-√36
= +/-6
Now to find the circumference of the circle, we substitute for r in the formula below.
Circumstances = 2πr
= 2 ×π × 6
= 12πins.
The average rate of change of a function f(x) over an interval (a, b) is given by

Therefore, given a function, f(x), over an interval (2, 9), the average rate of change of the function can be found using the expression
Answer:
x = -1
Step-by-step explanation:
to find axis of symmetry, use the following equation:
x = -b/2a
in this problem, a = 3, b = 6, c = -12
x = -6/2(3)
x = -6/6
x = -1
The arc angle AC is measured as 55 degrees.
<h3>How to find arc angle?</h3>
If two secant intersect in the exterior of a circle, then the measure of the angle formed is half the positive difference of the arcs intercepted.
Therefore, the secants intersect outside the circle at point E.
The arc angle AC can be found as follows:
Therefore,
m∠BED = 1 / 2 (arc angle AC - arc angle BD)
arc angle AC = x
arc angle BD = 23 degrees.
m∠BED = 16 degrees.
m∠BED = 1 / 2 (arc angle AC - arc angle BD)
16 = 1 / 2 (x - 23)
16 = 1 / 2x - 23 / 2
16 + 11.5 = 0.5x
27.5 = 0.5x
x = 27.5 / 0.5
x = 55 degrees.
Therefore,
arc angle AC = 55 degrees.
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Answer:
1. The right answer is stay the same.
In a healthy subject, a diet rich in sugar (such as starch and fast sugars) increases blood sugar in the first two hours after ingestion and then stabilizes after the third hour with the action of the patient. insulin which has a hypoglycemic action. But over time the pancreas (the organ that secretes insulin) will get tired over time if these foods are eaten excessively.
2. The right answer is stay the same.
In a healthy person, a diet of low-sugar foods (such as fiber) does not increase blood glucose (or very little) and helps maintain normal blood glucose levels. These foods are good for the health because they preserve the pancreas as long as there is not much solicitude by the presence of a hause of glucose in the blood.
3. The right answer is increase.
In a type 1 diabetic patient, the pancreas does not secrete insulin appropriately, and this is due to self-destruction of the organ by the immune system (autoimmune disease). This implies that during the ingestion of foods rich in sugars, the blood sugar will be hard to regain its normal level, that is why it remains elevated after three hours after ingestion.
4. The right answer is stay the same.
Foods low in carbohydrates are very good for the health and is recommended in the subjects diabetic (type 1 and 2) and even for the healthy subjects to avoid the appearance of the diabetes afterwards. These foods help diabetics to have controlled blood glucose levels when their degradation does not give glucose.