Answer:
c ≈ 6.08 m
Step-by-step explanation:
Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.
The cosine rule formula for finding a side length are as follows
c² = a² + b² - 2ab cosC
b² = a² + c² - 2ac cosB
c² = a² + b² - 2ab cosC
Using cosine rule
c² = 4² + 3² - 2 × 4 × 3 cos 120°
c² = 16 + 9 - 24 cos 120°
c² = 25 - 24 (-0.5)
c² = 25 + 12
c² = 37
square root both sides
c = √37
c = 6.0827625303
c ≈ 6.08 m
Answer:
Step-by-step explanation:
idk
No because the 3 is the tens place. So its supposed to 3 ten blocks
70. Bobbie wants to make 2.00 dollars using dollars with the value of half dollars and quarters. Now, how many way he can do it?
=> half dollars = 0.5
=> quarter dollars = 0.25
Possible ways:
=> 0.5 + 0.5 + 0.5 + 0.5 = 2 dollars (4 half dollars)
=> .25 + .25 + .25 +. 25 + .25 + .25 + .25 + .25 = 2 dollars (8 quarter dollars)
=> 0.5 + 0.5 + 0.25 + 0.25 + 0.25 + 0.25 = 2 dollars
=> 0.5 + 0.5 + 0.5 + 0.25 + 0.25 = 2 dollars
=> 0.5 + 0.25 + .25 + .25 + .25 + .25 + .25 = 2 dollars
Answer:
a
Step-by-step explanation:
![\sqrt[4]{144a^{12}b^{3}} = \sqrt[4]{4^{2}*3^{2}a^{12}b^{3}}=\\= \sqrt[4]{2^{4}*3^{2}a^{12}b^{3}}=2a^{3}\sqrt[4]{3^{2}b^{3}} =\\}=2a^{3}\sqrt[4]{9b^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B144a%5E%7B12%7Db%5E%7B3%7D%7D%20%3D%20%5Csqrt%5B4%5D%7B4%5E%7B2%7D%2A3%5E%7B2%7Da%5E%7B12%7Db%5E%7B3%7D%7D%3D%5C%5C%3D%20%5Csqrt%5B4%5D%7B2%5E%7B4%7D%2A3%5E%7B2%7Da%5E%7B12%7Db%5E%7B3%7D%7D%3D2a%5E%7B3%7D%5Csqrt%5B4%5D%7B3%5E%7B2%7Db%5E%7B3%7D%7D%20%3D%5C%5C%7D%3D2a%5E%7B3%7D%5Csqrt%5B4%5D%7B9b%5E%7B3%7D%7D)