Answer:
5 = side a
3 = side c
angle B = 62 degrees
JK is side b
Use the Law of Cosines to find the length of side b.
b^2 = a^2 + c^2 − 2ac cos(B)
b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)
b^2 = (25 + 9) − 30 x 0.469
b^2 = 34 - 30 x 0.469
b^2 = 34 - 14.084
b^2 = 19.916
b = √19.916
b = 4.463
Rounded to the nearest tenth is 4.5 mm.
Hope this helps!
Step-by-step explanation:
Answer:
Reflect shape A on the line y=-1
Step-by-step explanation:
None needed you get full marks from the sentence above :)
Step-by-step explanation:
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Answer:
There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are different
Step-by-step explanation:
Given that in previous tests, baseballs were dropped 24 feet onto a concrete surface, and they bounced an average of 92.82 inches
But new balls showed mean of 92.6 inches with s = 1.72 inches
Sample size = 23
Since sample size is less than 30 and population std deviation is not know we use t test

(Two tailed test at 5% significance level)
Mean difference = 
Std error of sample mean = s/sqrt n = 
Test statistic t = mean diff/std error = -3.402
df = 23-1 =22
p value = 0.002559
since p value <5% we reject H0
There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are different