Your given side ab with a length of 6 centimeters and side bc with a length of 5 centimeters. The measure of amgel A is 30. How
many triangles can you construct using these measurements?
1 answer:
Answer:
2
Step-by-step explanation:
The given angle is opposite the <em>shortest</em> of the given sides, and sin(A) < 5/6, so there are two possible solutions.
The law of sines tells you that angle C will satisfy ...
sin(C)/ab = sin(A)/bc
sin(C) = ab/bc·sin(A) = 6/5·1/2 = 3/5
The given angle is 30°, so the sum of remaining angles must be less than 150°. There are two possible angles less than 150° that have a sine of 3/5:
C₁ = arcsin(3/5) = 36.87°
C₂ = 180° -arcsin(3/5) = 143.13°
You can construct two triangles with the given measurements.
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See the attachments for drawings of them.
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Answer:
A = 0.75 gram or 1 gram
Step-by-step explanation:
The half-life of carbon 14 is years. How much would be left of an original -gram sample after 2,292 years? (To the nearest whole number).
We can use the following formula for half-life of to find out how much is left from the original sample after 2,292 years:
where:
<em>A</em> is the amount left of an original gram sample after <em>t</em> years, and
is the amount present at time <em>t</em> = 0.
The half-life of is the time <em>t</em> at which the amount present is one-half the amount at time <em>t </em>= 0.
If 1 gram of is present in a sample,
Solve for A when t = 2,292:
Substituting = 1 gram into the decay equation, and we have:
A = 0.75 g or 1 g