Answer:
10 sq units
Step-by-step explanation:
The area of a triangle is 1/2bh
b= 5 units
h= 4 units
1/2(5)(4)= 10
Answer:
227750
Step-by-step explanation:
If we assume that the rate of increase in population is linear, then in 4 years the increase in population is (224000 - 221000) = 3000.
So, the rate of increase in population is 
persons per year.
Now, we have to calculate the population of the town after an additional 5 years.
So, the population in 5 years will increase by (750 × 5) = 3750
Therefore, the population after an additional 5 years will be (224000 + 3750) = 227750. (Answer)
Answer:
y = 
x + 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )
m = 
= 
= 
= , then
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 3 ) , then
3 = + c ⇒ c = 3 - =
y = x + ← equation of line
Answer:
5.415m and 2.585m long
Step-by-step explanation:
For a right triangle
hyp^2 = opp^2 + adj^2 (Pythagoras theorem)
Given
hypotenuse = 6m
height(opposite) = h meters
Adjacent = (8-h)m
Substitute into the expression above;
6² = h²+(8-h)²
36 = h²+64-16h+h²
36 = 2h²-16h+64
2h²-16h+64-36 = 0
2h²-16h+28= 0
Divide through by 2
h²-8h+14 = 0
Using the general formula
h = 8±√8²-4(14)/2
h = 8±√64-56/2
h = 8±√8/2
h = 8±2.83/2
h = 8+2.83/2 and 8-2.83/2
h = 10.83/2 and 5.17/2
h = 5.415 and 2.585
hence the length of the height of the right triangle are 5.415m and 2.585m long
Answer:
Step-by-step explanation:
Puan Rohana's income = Active income + passive income
= 2000 + 450
= RM 2450
Expenses = 1680 + 400
= RM 2080
Total expenses increased by 40%
New expenses after 40% increase = 2080 + 40% of 2080
= 2080 + (0.4 * 2080)
= 2080 + 832
= RM 2912
Puan Rohana's expenses is more than there income
