Answer:
For the first triangle the missing sides are 7 and 7√2 For the second triangle,the missing sides are 13√3 and 13
Step-by-step explanation:
For the first triangle,
cos(45°)=7/hypotenuse
hypotenuse×cos45=7
hypotenuse×√2/2=7
hypotenuse=14/√2=7√2
We can now find the adjacent side using Pythagorean theorem,
√(7√2)²-7²=7
For the second triangle,
cos(30°)=adjacent/hypotenuse
but cos 30=√3/2
√3/2=adjacent/26(cross multiply and simplify)
26√3/2=13√3
To find the opposite length,
√(26)²-(13√3)²=13
Answer:
Step-by-step explanation:
In the model
Log (salary) = B0 + B1LSAT +B2GPA +B3log(libvol) +B4log(cost)+B5 rank+u
The hypothesis that rank has no effect on log (salary) is H0:B5 = 0. The estimated equation (now with standard errors) is
Log (salary) = 8.34 + .0047 LSAT + .248 GPA + .095 log(libvol)
(0.53) (.0040) (.090) (.033)
+ .038 log(cost) – .0033 rank
(.032) (.0003)
n = 136, R2 = .842.
The t statistic on rank is –11(i.e. 0.0033/0.0003), which is very significant. If rank decreases by 10 (which is a move up for a law school), median starting salary is predicted to increase by about 3.3%.
(ii) LSAT is not statistically significant (t statistic ≈1.18) but GPA is very significance (t statistic ≈2.76). The test for joint significance is moot given that GPA is so significant, but for completeness the F statistic is about 9.95 (with 2 and 130 df) and p-value ≈.0001.
9 =
• - (-9)
• |-9|
• |9|
-9 =
• - |9|
• - |-9|
i BELIEVE
Answer:
x = -4 and x = -2
Step-by-step explanation: