Add.
1 answer:
Answer:
1
Step-by-step explanation:
1. Convert the mixed number to an improper fraction to match the rest of the problem (this just makes it easier for now, the answer will still be a mixed number)
-1 becomes
2. Re-write the new equation. When there is a "+" in front of a set of parentheses the expression doesn't change aside from removing the plus signs.
The new equation becomes
3. Calculate. Just work out the new expression.
The answer is
4. Convert to a simplified mixed decimal.
27 goes into 20 once with seven left over, making the answer 1
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General Idea:
When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)
Applying the concept:
In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).
If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)
We know &
Substituting 6 for x in the equation , we get
.
Dividing 6 on both sides
Simplifying fractions on both sides
Point A from the diagram is (-3, 3)
x-coordinate of A' =
y-coordinate of A' =
Point A' is given by (-3.6, 3.6)
Conclusion:
<u>Scale factor of dilation is 1.2</u>
<u>The coordinates of point A' is (-3.6, 3.6)</u>
Volume of a cone=
r^2*h/3
*3^2*6/3=56.55
volume fo a sphere = 4/3r^3
4/3*pi*1.5^3=14.14
56.55-14.14=42.41
volume fo a sphere = 4/3
4/3*pi*1.5^3=14.14
56.55-14.14=42.41
Answer:
Step-by-step explanation:
P = $295
r =7%
t = 270 days = 270/365
Interest = Prt
= $ 15.28
Amount = 295 + 15.28
Amount = $310.28