Answer:
x=4
Step-by-step explanation:
3x-3=9
+3=+3
3x=12
3x=12
divide both sides by 3
leaving x by itself
12/3=4
x=4
Answer:
The answer is below
Step-by-step explanation:
a) Triangle A is attached in the image below.
The base of triangle A is 3 units and its height is 3 units. The area of a triangle is given as:
Area = (1/2) × base × height
Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²
Area of the scaled copy = 72 unit²
Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16
Hence the scaled copy area is 16 times larger than that of triangle A.
b) For the scaled copy:
Area of the scaled copy = (1/2) × base × height = 72 unit²
base × height = 144
Since the base and height are equal
base² = 144
base = 12, also height = 12
Base of scaled copy = 12 = 4 × base of triangle A
Therefore the scale factor used is 4
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Decrease rate (d)= 7%
Number of periods (n)= 7 years
Current population (PV)= 48,000
<u>First, to calculate the future value, we need to use the following decrease exponential formula:</u>
<u />
FV= PV*[(1+d)^-n]
<u>After 7 years:</u>
FV= 48,000*(1.07^-7)
FV= 29,892
As determined by the graph, f(-9) = 9
The answer will be 40. As it doubles twice during 220mins- 10 to 20 and then 20 to 40.