Answer:
67 square units
Step-by-step explanation:
Circumference/pi = diameter
29/3.14 = 9.24
Radius = 9.24/2 = 4.62
A = pi * r^2
A = 3.14 * 4.62^2 = 67 square units
Answer:
x = -96/23
Step-by-step explanation
-
= 4
multiply each side of equation by 24 to eliminate denominators
(24)
-
= 4 (24)
3(3x) - 8(4x) = 96
9x - 32x = 96
-23x = 96
x = -96/23
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➷ You have to collect like terms
In other words, add together the values that have x in them and add together the values that don't
4x + 7x = 11x
8 + 3 = 11
The answer is 11x + 11
<h3><u>✽</u></h3>
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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.
learn more on arc angle here: hhttps://brainly.com/question/23117081
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The question is incomplete, here is the complete question:
Recall that m(t) = m.(1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500 g sample of phosphorus-32 decays to 356 g over 7 days. Calculate the half life of the sample.
<u>Answer:</u> The half life of the sample of phosphorus-32 is 
<u>Step-by-step explanation:</u>
The equation used to calculate the half life of the sample is given as:

where,
m(t) = amount of sample after time 't' = 356 g
= initial amount of the sample = 500 g
t = time period = 7 days
h = half life of the sample = ?
Putting values in above equation, we get:

Hence, the half life of the sample of phosphorus-32 is 