Y2-y1=6-4=2
x2-x1=2-1=1
2/1=2
The slope is 2
y=2x+b
4=2(1)+b
4=2+b
-2
2=b
y=2x+2
Answer:
25
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF),
25
Answer:
Hope it helps....!!!!!
Step-by-step explanation:
AB = c = 38
BC = a = 29
AC = b
Angle ABC = 63 degrees
Solving for AC "b":
Cosine rule: c^2 = a^2 * b^2 -2ab * cos C
38^2 = 29^2 * b^2 - (2* 29) * b * (cos 38)
1444 = 841 * b^2 - 58 * b * 0.955
(1444 + 58)/0.955 = b^2 * b
1572.77486911 = b^3
11.62935 = b
11.63 = b (rounded to two decimal places)
Now solving for angle A:
Sine rule: a/sinA = b/sinB
29/sinA = 11.63/sin(63)
sinA/29 = sin(63)/11.63
sin A = (sin(63)/11.63) * 29
sin A = 0.41731
A = sin^-1 (0.41731)
A = 24 degrees 39 minutes 53 seconds
Now solving for angle C:
Sine rule: c/sinC = b/sinB
38/sinC = 11.63/sin(63)
sinC/38 = sin(63)/11.63
sin C = (sin(63)/11.63) * 38
sin C = 0.54682
C = sin^-1 (0.54682)
C = 33 degrees 8 minutes 56 seconds
Answer: 65.5 inches of the box is empty.
Step-by-step explanation:
Given : Diamter of circular pizza =10 inches
Then, radius =
Area of circle = 
Area of pizza = 
Side of square = 12 inches
Area of square = side x side.
Area of square = 12 x 12 = 144sq. inches.
Area of box empty = Area of square - Area of pizza
= 144-78.5 sq. inches
= 65.5 inches
Hence, 65.5 inches of the box is empty.
