Answer:
C. 12
Step-by-step explanation:
We know you have the number 18 and the fraction 2/3. The problem is we want to find out what 2/3 of 18 is. Well, if 18 divided by the denominator of that fraction (3) is 6 than we just add 6 because the question is asking for 2/3 NOT 1/3.
Brayden has 38 bags.
After giving away 15 bags of marbles, Brayden is left with 23 bags.
To find out how many bags he has we do 342 divided by 9 which is 38.
To find out how many marbles are in 15 bags we do 15 x 9 which is 135.
We then do 342 - 135 to find out how many marbles he has left which is 207 and divide 207 by 9 to convert that into bags, which is 23.
Answer:
Step-by-step explanation:
for two matrices A, B to be Similar, then A = SBS⁻¹
A=SBS−1⟹trace(A)=trace((SB)(S−1))=trace((S−1)(SB))=trace((SS−1)B)=trace(B)
Answer:
v=whl 1 7/8 × 2 3/4 × 3 1/2 = 18 3 \64
Answer:
No, the area of the dilated triangle will increase by a factor of 9
Step-by-step explanation:
When the scale factor by which the dimensions is dilated = 3, we have;
The original length of base = b
The base length of the dilated triangle = 3×b
The original height of the the triangle = h
The height of the dilated triangle = 3×h
The original area of the triangle = 1/2 × base × height = 1/2×b×h
The area of the dilated triangle = 1/2 × base of dilated triangle × height of dilated triangle
∴ The area of the dilated triangle = 1/2× 3 × b × 3× h = 9×1/2× b×h
Which gives;
The area of the dilated triangle = 3²×1/2× b×h= (Scale factor)²× The original area of the triangle.
From 3² = 9, we have;
The area of the dilated triangle = 9 × The original area of the triangle.
Therefore;
The area of the dilated triangle will increase by a factor of 9.
