The exact value for cos(pi/16) would be :
cos (pi/16) = +/- √1+cosa/2
cos (pi/4) = sqrt2/2
Hope this helps
The volume of the rectangular prism is
![V=L\times W\times H](https://tex.z-dn.net/?f=V%3DL%5Ctimes%20W%5Ctimes%20H)
Where:
L is its length
W is its width
H is its height
From the given figure
L = 15.2 cm
W = 8 cm
H = 5.8 cm
Substitute them in the rule above
![\begin{gathered} V=15.2\times8\times5.8 \\ V=705.28\operatorname{cm}^3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20V%3D15.2%5Ctimes8%5Ctimes5.8%20%5C%5C%20V%3D705.28%5Coperatorname%7Bcm%7D%5E3%20%5Cend%7Bgathered%7D)
Round it to the nearest tenth
![V=705.3\operatorname{cm}^3](https://tex.z-dn.net/?f=V%3D705.3%5Coperatorname%7Bcm%7D%5E3)
Answer D
Answer:
A - 29
Step-by-step explanation:
she is Nine so
her dad will be
2+9×3
2+27
29
Answer: At least 713 paintballs
Step-by-step explanation:
Based on the information that has been given in the question, the inequality that'll be used to solve the question will be:
18+0.08B≥75
0.08B≥75-18
0.08B≥57
B≥57/0.08
B≥712.5
Carolina needs to buy at least 713 paintballs along with the entrance fee to get the promotion.
Answer: 1.509
Step-by-step explanation:
The formula of Margin of Error for (n<30):-
![E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=E%3Dt_%7B%5Calpha%2F2%7D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Given : Sample size : n= 22
Level of confidence = 0.99
Significance level : ![\alpha=1-0.99=0.01](https://tex.z-dn.net/?f=%5Calpha%3D1-0.99%3D0.01)
Using the t-distribution table ,
Critical value : ![t_{n-1, \alpha/2}=t_{21,0.005}= 2.831](https://tex.z-dn.net/?f=t_%7Bn-1%2C%20%5Calpha%2F2%7D%3Dt_%7B21%2C0.005%7D%3D%202.831)
Standard deviation: ![\sigma=\text{ 2.5 dollars }](https://tex.z-dn.net/?f=%5Csigma%3D%5Ctext%7B%202.5%20dollars%20%7D)
Then, we have
![E=( 2.831)\dfrac{2.5}{\sqrt{22}}\approx1.509](https://tex.z-dn.net/?f=E%3D%28%202.831%29%5Cdfrac%7B2.5%7D%7B%5Csqrt%7B22%7D%7D%5Capprox1.509)
Hence, the margin of error for a 99% confidence interval for the population mean =1.509