Answer:
36 units²
Step-by-step explanation:
rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?
Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
we use the inverse formula
12 * 3 =<em> </em>
<em>36 units²</em>
<em>-----------------------</em>
check
36 : 12 = 3
the answer is good
Answer:
B) 12
Step-by-step explanation:
C is the circumference, d is the diameter, and r is the radius. They are related by the following equations:
d = 2r
C = πd = 2πr
If d = 6.0, then r = 3.0.
If C / C' = 0.25, then:
(2πr) / (2πr') = 0.25
r / r' = 0.25
3 / r' = 0.25
r' = 12
Answer:
C
Step-by-step explanation:
Now, what we know is that the total distance from the dormitory to the city is 1 if expressed in fraction. What we need to know is the fraction of the journey that is scheduled as the last part.
We can get this by subtracting the fractions of the first two phases from 1.
This goes as follows:
1 - (1/5) - (2/3) = 2/15
Now, we know that the final 8 kilometers constitute a fraction of just 2/5
Hence, we know that 2/15 of the total journey is 8 kilometers.
Let the total journey distance be T. This means that 2/15 of T is 8km
2/15 * T = 8km
T = ( 8 * 15 )/2 = 120/2 = 60km
Answer:
x = 4
y = 1
Step-by-step explanation:
x = 3y + 1 (Multiply everything by -2)
2x + 4y = 12 (Transfer 4y to the right of the = sign)
2x = -4y + 12
-2x = -6y - 2
0 = -10y + 10
-10 = -10y
y = 1
x = 3y + 1
x = 3(1) + 1
x = 3 + 1
x = 4
