Answer:
B. 204 pens
Step-by-step explanation:
If you have 10 boxes of 30 pens each, the problem would be like so:
10 x 30 = 300
Now, since we have 32 workers that each take 3, this turns into:
32 x 3 = 96
Finally, because 300 is the total amount of pens and 96 is the amount taken, we just subtract to get:
300 - 96 = 204 pens
Answer:
50
Step-by-step explanation:
500 dollars ÷ 10 days = 50 dollars a day
Answer:
670,616,629mph
Step-by-step explanation:
I think this is the answer
Answer:
4. 24.39°
5. 27.29°
6. 38.21°
Step-by-step explanation:
Given:
Δ ABC is right angle at A
Δ PQR is right angle at Q
Δ XYZ is right angle at X
To find:
∠ C = ?
∠ P = ?
∠ Z = ?
Solution:
For 4.)
We Know the Identities,
![\sin C = \frac{\textrm{side opposite to angle C}}{Hypotenuse} \\](https://tex.z-dn.net/?f=%5Csin%20C%20%3D%20%5Cfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20C%7D%7D%7BHypotenuse%7D%20%20%5C%5C)
∴ ![\sin C=\frac{AB}{BC} \\\sin C =\frac{19}{46} \\\sin C =0.413\\\therefore C= sin^{-1}(0.413)\\ \angle C=24.39\°](https://tex.z-dn.net/?f=%5Csin%20C%3D%5Cfrac%7BAB%7D%7BBC%7D%20%5C%5C%5Csin%20C%20%3D%5Cfrac%7B19%7D%7B46%7D%20%5C%5C%5Csin%20C%20%3D0.413%5C%5C%5Ctherefore%20C%3D%20sin%5E%7B-1%7D%280.413%29%5C%5C%20%5Cangle%20C%3D24.39%5C%C2%B0)
For 5.)
![\tan P = \frac{\textrm{side opposite to angle P}}{\textrm{side adjacent to angle P}}\\\tan P = \frac{QR}{QP}\\\tan P = \frac{16}{31}\\\tan P = 0.5161\\\angle P=\cos^{-1}(0.5161)\\\angle P=27.29\°](https://tex.z-dn.net/?f=%5Ctan%20P%20%3D%20%5Cfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20P%7D%7D%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20P%7D%7D%5C%5C%5Ctan%20P%20%3D%20%5Cfrac%7BQR%7D%7BQP%7D%5C%5C%5Ctan%20P%20%3D%20%5Cfrac%7B16%7D%7B31%7D%5C%5C%5Ctan%20P%20%3D%200.5161%5C%5C%5Cangle%20P%3D%5Ccos%5E%7B-1%7D%280.5161%29%5C%5C%5Cangle%20P%3D27.29%5C%C2%B0)
For 6.)
![\cos Z = \frac{\textrm{side adjacent to angle Z}}{Hypotenuse}\\\cos Z = \frac{XZ}{YZ}\\\cos Z = \frac{11}{14}\\\cos Z = 0.7857\\\angle Z= \cos^{-1}(0.7857)\\\angle Z= 38.21\°](https://tex.z-dn.net/?f=%5Ccos%20Z%20%3D%20%5Cfrac%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20Z%7D%7D%7BHypotenuse%7D%5C%5C%5Ccos%20Z%20%3D%20%5Cfrac%7BXZ%7D%7BYZ%7D%5C%5C%5Ccos%20Z%20%3D%20%5Cfrac%7B11%7D%7B14%7D%5C%5C%5Ccos%20Z%20%3D%200.7857%5C%5C%5Cangle%20Z%3D%20%5Ccos%5E%7B-1%7D%280.7857%29%5C%5C%5Cangle%20Z%3D%2038.21%5C%C2%B0)