Answer:
b² = a² + c² - 2ac cos B
Step-by-step explanation:
The cosine rule can be use when you are given three sides of a triangle and ask to find any angle or when you are given two sides and a included angles(the angle between the two sides given) and ask to find the length of a side.
The equation Sophia can use to solve for the side length(b) of a triangle when given two length and the included angle can be expressed below. Sophia was given two sides and an included angle and was asked to find a side length b.
For sides a, b and c the cosine rule can be represented below
a² = b² + c² - 2bc cos A
b² = a² + c² - 2ac cos B
c² = a² + b² - 2ab cos C
The equation required base on your question is
b² = a² + c² - 2ac cos B
Answer:
204 ft^2
Step-by-step explanation:
<u>triangle on the left</u>:
A= l x w x 1/2
A = 12 x 5 x 1/2
A = 30 ft^2
<u>triangle on the right</u>:
Same thing
A = 30 ft^2
<u>square in the middle</u>:
A = l x w
A = 12 x 12
A = 144 ft^2
<u>Add them up</u>:
30 + 30 + 144 = 204 ft^2
Answer:
No solution is posible from the information provided
Step-by-step explanation:
Answer:
because the total is 300 not 100 so 50 is not reasonable because that is the percentage they planted and since it is more than 100 then it should be a percent of 300 not 100. Maya is wrong about placing 50 bulbs instead they placed 150.
Step-by-step explanation:
Answer:
Using the right angles, we can establish AAS making the triangles congruent. Or using the Pythagorean Theorem, we can find the missing side, and then use SSS, SAS, or ASA to make the triangles congruent.
Step-by-step explanation: