Isolate the variable by dividing each side by factors that don’t contain variable.
Answer: x = -2
Hope this helps!
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<span>The problem is to calculate the angles of the triangle. However, it is not clear which angle you have to calculate, so we are going to calculate all of them
</span>
we know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]
a=12.5
b=15
c=11
so
cos C=[a²+b²-c²]/[2*a*b]---> cos C=[12.5²+15²-11²]/[2*12.5*15]
cos C=0.694------------> C=arc cos (0.694)-----> C=46.05°-----> C=46.1°
applying the law of sines calculate angle B
15 sin B=11/sin 46.1-----> 15*sin 46.1=11*sin B----> sin B=15*sin 46.1/11
sin B=15*sin 46.1/11-----> sin B=0.9826----> B=arc sin (0.9826)
B=79.3°
calculate angle A
A+B+C=180------> A=180-B-C-----> A=180-79.3-46.1----> A=54.6°
the angles of the triangle are
A=54.6°
B=79.3°
C=46.1°
Using the Empirical Rule, it is found that the lifespans, in months, are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
<h3>What is the Empirical Rule?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
More can be learned about the Empirical Rule at brainly.com/question/24537145
So, if tom eats 10 bananas in 10 days
than, monkey have eaten 40 apples and 20 bananas
hope this helped
