The problem above uses a combination of sine and cosine law of triangle to solve for the m∠B.
Given:
<span>m∠A = 60°, b = 9 and c = 6
Cosine Law:
a^2=b^2+c^2-2bccosA
a^2=(9)^2+(6)^2-2(9)(6)cos(60)
a^2=81+36-54
a^2= 63
a=</span>
Sine Law
sin B= 9/
sin 60
sin B= 0.98198
B= sin ^-1 (0.98198) = 79.10
Therefore, m∠B is equal to 79.10
Cracked:all=3:4
3/4=x/28
cross multiply or times both sides by 28
3*7=x
21=x
21 are cracked (bad deal)
Answer:
14.6 minutes
Step-by-step explanation:
Since there is a 1 ms increase per day and there are 365 days a year, the time increase per year is 1 ms/day × 365 days/year = 365 ms/year.
So, in 24 centuries, there are 24 × 1 century = 24 × 100 years = 2400 years (since 1 century = 100 years)
So, the total of the daily increase in time in 24 centuries is time increase per year × 24 centuries
= 365 ms/year × 2400 years
= 876000 ms
= 876 s
= 876 s/60s
= 14.6 minutes
The measure of the segment DF is 2 2/3
<h3>Segment Addition postulate</h3>
The segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
A line is a distance between two points. From the given line;
DF = F - D
Given the following
F = -1 1/3
D = -4
Substitute
DF = -1 1/3 - (-4)
DF = 4 - 4/3
DF = 8/3
DF =2 2/3
Hence the measure of the segment DF is 2 2/3
Learn more on Segment Addition postulate here: brainly.com/question/2134445
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