Answer:
The side legths
Step-by-step explanation:
The slope of the line is 2
Answer:
See below.
Step-by-step explanation:
For each day number, Y means working, and N means off
Day
1 Y
2 Y
3 Y
4 N
5 N
6 N
7 N
8 Y
9 Y
10 Y
11 Y
12 N
13 N
14 N
15 Y
16 Y
17 Y
18 N
19 N
20 N
21 N
22 Y
23 Y
24 Y
25 Y
26 N
27 N
28 N
29 Y
30 Y
31 Y
32 N
33 N
34 N
35 N
36 Y
37 Y
38 Y
39 Y
40 N
41 N
42 N
43 Y
44 Y
45 Y
46 N
a. Today is day 1. 30 days from today is day 31.
She works on day 31, so she does work 30 days from today.
b. 45 days from today is day 46. She is off on day 46, so she will be off 45 days from today.
Answer:
47.6m.
Step by step solution:
Perimeter of a triangle = base + 2 . length____(1)
Area of a triangle = 1/2 . base . diagonal
108 = 1/2 . base . 15
multiplying both sides by 2:
216 = 15 . base
dividing both sides by 15:
base = 14.4m
But the diagonal divides the triangle into two
right angle triangles each with the same length (hypotenuse),base and diagonal(height).
Taking one right angle triangle:
And using pythagoras theorem;
length² = base² + diagonal ²
length² = 7.2² + 15²
Note: Base of each right angle triangle is 7.2 which would sum up to be 14.4 the base of the full triangle.
length² = 276.84
taking the square root of both sides:
length = 16.6m
Putting the values of the base and length into equation (1).
Perimeter of the triangle = 14.4 + 2 . 16.6
Note: We are dealing with the whole triangle
now hence the base is 14.4m.
Perimeter of the triangle = 14.4 + 33.2 = 47.6m.
20x-28+12=16x+24 (i distributed the 4 to get this)
20x-16=16x+24 (added -28 & 12)
4x=40 (Subtracted 16x from both sides and added 16 to both sides)
(divide by 4 on both sides)
x=10
