In the triangle ABC, if side a is 3, side b is 4 and side c is 5, what is the cosine of the smallest angle?
1 answer:
Answer:
Cosine of the smallest angle is 4/5.
Step-by-step explanation:
It is given that in the triangle ABC, side a is 3, side b is 4 and side c is 5.
Sum of squares of two smaller sides.
Sum of squares of largest sides.
Since sum of squares of two smaller sides is equal to sum of squares of largest sides, therefore triangle ABC is a right angle triangle.
Hypotenuse = 5 units.
In a right angle triangle, the smallest angle has shortest opposite side.
Shortest side is a=3 It means angle A is smallest.
Therefore, the cosine of the smallest angle is 4/5.
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Answer:
Step-by-step explanation:
distribute 2 into (4x+2) and -12 into (x-1)
8x+4=4x-12x+12
combine like terms
8x+4=-8x+12
add -8x on both sides
8x+8x+4=12
16x+4=12
subtract 4 on both sides
16x=8
divide both sides by 16
x=1/2
hope this helps
Answer: The test statistic needed to test this claim= 10.92
Step-by-step explanation:
We know that the probability of giving birth to a boy : p= 0.5
i..e The population proportion of giving birth to a boy = 0.5
As per given , we have
Null hypothesis :
Alternative hypothesis :
Since is right-tailed , so the hypothesis test is a right-tailed z-test.
Also, it is given that , the sample size : n= 291
Sample proportion:
Test statistic : , where n is sample size ,
is sample proportion and p is the population proportion.
i.e. the test statistic needed to test this claim= 10.92
Critical value ( one-tailed) for 0.01 significance level =
Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .
[When test statistic value is greater than the critical value , then we reject the null hypothesis.]
Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.