6+5=11+5=16+5=21
3+6=9+6=15+6=21
It will take Marco and Sophie 3 hours to get the same amount of money. The amount of money they will have will be $21.
Rotation and translation are rigid transformations, they don't change figure sizes. Dilation change figure sizes increasing or decreasing them by scale factor.
First, find AB and A'B' by the formula:
As you can see AB=2A'B'. This means that the segment AB was decreased twice to form segment A'B'. Then the scale factor is 1/2.
Answer:
Step-by-step explanation:
It’s (1,4)
Answer:
2√6 m
Step-by-step explanation:
The formula for the vol. of a cone is V = (1/3)(area of base)(height).
Here, V = 20π m³ = (1/3)(area of the base)(10 m)
We need to solve for (area of the base).
Multiplying both sides of this equation by (3/10) results in:
(3/10)(20 π m³) = (area of the base)
This simplifies to 6π m² = (area of the base)
We still must find the diameter of the base. Let's find the radius of the base first: The formula for the area of a circle is A = πr². Here we have 6π m² = πr², which tells us that r² = 6 m². Since d = 2r, and r = d/2, r² = d²/4. Then the equation 6 m² = r² becomes:
6 m² = d²/4.
Solve this for d. Multiplying both sides by 4, we get:
24 m² = d²2, and d = √(24 m²) = 2√6 m
The cone diameter is 2√6 m.
Answer:
1/8
Step-by-step explanation:
If there are 4 sections then each section is 1/4. You need to find 1/2 of one section so you will need to multiply 1/2 times 1/4 which equals 0.125 or 1/8.
