Answer: 7%
Step-by-step explanation:
Given: Initial jobs = 428.5 thousand
Average rate of declining of jobs from 2010 to 2020 = 3 thousand jobs per year
From 2010 to 2020 , there are 10 years.
Total jobs declines till 2020 = 10 x (3 thousand)
= 30 thousand (Change in jobs)
Now, utilities percent change for 2010 to 2020 : 
Utilities percent change for 2010 to 2020 = 7 %
Answer: same
Step-by-step explanation:
Answer:
Step-by-step explanation:
A to C
y = b + mx
b = y-intercept
m = slope of line
Looking at the line, the line crosses the y-axis at the coordinates (0,0). This means that the y-intercept is 0.
The slope formula is m=(y2-y1)/(x2-x1). Using the points on the line (-1, -3) and (1,3) we find that the slope is, 3.
Looking back we can see that our variables now have value so we can plug them into our formula.
y = b + mx
b = 0
m = 3
Substitute
y = 0 + 3x
Answer:
length = 36 ft; width = 12 ft
Step-by-step explanation:
Let the width be x.
The length is 3x.
The perimeter is the sum of two lengths and two widths, and it equals 96 ft.
3x + 3x + x + x = 96
8x = 96
x = 12
Width = x = 12 ft
Length = 3x = 3(12 ft) = 36 ft
The missing side of the triangles are 5, 16.92, 7 and 5 respectively.
Step-by-step explanation:
- Step 1: Use the Pythagoras Theorem to find the missing sides.
a² + b² = c²
In the first triangle, a = 3, b = 4.
c² = 3² + 4² = 9 + 16 = 25
⇒ c = 5
∴ Missing side is 5
In the second triangle, a = 15, b = 8
c² = 15² + 8² = 225 + 64 = 289
⇒ c = 16.92
Missing side is 16.92
In the third triangle, b = 24, c = 25
a² = c² - b²
a² = 25² - 24² = 625 - 576 = 49
⇒ a = 7
Missing side is 7
In the fourth triangle, a = 12, c = 13
b² = c² - a²
b² = 13² - 12² = 169 - 144 = 25
⇒ b = 5
Missing side is 5
