Answer:
Surface area of triangular prism =1/2(bh)
=1/2(3*4)
=6
Answer:
y = −55x + 275
The initial value is 5
Mike's distance from home when he begins cycling
Step-by-step explanation:
The equation of a line is
y= mx+b where m is the slope and b is the y intercept
The y intercept is 275
Two points are (0,275) and (5,0)
The slope is (y2-y1)/(x2-x1) = (0-275)/(5-0) = -275/5 =-55
y = -55x+275
The initial value is when x = 0
When x = 0 , y = 5
y = 12-2x
Rewriting
y = -2x+12
This is in the form y = mx +b where the slope is -2 and the y intercept is 12
12 is the initial value or when x = 0. It would be the distance that he needs to cover. He needs to go from the library to his house.
Answer:
-24 + 12d = 2(d - 3) + 22
-24 + 12d = 2d - 6 + 22
-24 + 12d = 2d + 16
12d = 2d + 40
10d = 40
d = 4
Step-by-step explanation:
The population in 2020 will be 57657.5 approximately
<u>Explanation:</u>
Given:
Population in 2014, P = 62,500
Rate of decrease, r = 1.6%
Population in 2020, Q = ?
Number of years between 2014 to 2020 = 5 years
Population in 2020 = 
Substituting the value we get:

Therefore, the population in 2020 will be 57657.5 approximately
Answer:
Height = 5 ft
Short base = 10 ft
Long base = 14 ft
Step-by-step explanation:
Let h = height, a = short base, b = long base.
From the question,
a = 2h
b = a + 4 = 2h + 4
The area of the trapezoid is given by
. Thus,







or 
or 
We discard the negative value of h since it is a measurement and cannot be negative.
