Slope is rise over run, aka change in y divided by change in x:

Answer: -1
Answer:
13) 
14) 
15) 
16) 
Step-by-step explanation:
We are given two sides of a triangle that are 2 and 5 and the angle between them is pi/3 or 60 degrees. In this case, we can use the cosine law to relate the given dimensions and angle. The cosine rule goes c2 = a2 + b2 - 2abcos C; Substituting, c2 = 4 + 25 - 2*2*5*cos pi/3 ; c2 = 19; c = sqrt 19 = 4.36 units.
Number of different bases for each one:
1 1 12 --->1 1 12, 1 12, 1 ----- 2 of them
1 2 6 ---> 1 2 6, 1 6, 2, 2 6 1 --- 3 of them
1 3 4 ---> 1 3 4, 1 4 3, 3 4 1 --- 3 of them
2 2 3 ---> 2 2 3, 2 3 2 ----- 2 of them
Answer-10 different prisms
Answer:
38.9 square inches.
Step-by-step explanation:
We are asked to find the difference in area covered by a single 3 inch windshield wiper operating with a central angle of 138 degrees compared to a pair of 5 inch wipers operating together each having a central angle of 114 degrees.
We will use area of sector formula to solve our given problem as:
, where, r represents radius and theta represents central angle.
Let us find area of sector with central angle 140 degree and radius 3 inch.



Now, we will find area of sector with central angle 114 degree and radius 5 inch and multiply by 2 as:




Let us find difference of area as shown below:



Therefore, the difference in area covered is approximately 38.9 square inches.