Answer:
264.89cm^2
Step-by-step explanation:
CSA of cylinder=πrl
= 3.1 × 7 ×√149
= 264.89cm^2
Given that,
Total no of cards = 20
The ratio of animal cards to fruit cards is 2:3
No of animal cards = 20
Solution,
Let there are 2x animal cards and 3x fruit cards. ATQ,
2x+3x = 20
5x = 20
x = 4
Animal cards = 2x
= 2(4)
= 8
Fruit cards = 3x
= 3(4)
= 12
It is also mentioned that, of the cards, 1/3 have bananas on them. It means,
Hence, 4 cards have bananas on them.
B. It will be smaller than the original triangle
C. It will be congruent to the original triangle
D. It will be a different shape then the original triangle
The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.
The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.
When a figure is reflected across the y-axis, its shape remains the same, but its orientation is flipped. Then, by translating the reflected triangle 5 units to the right, we are simply shifting it horizontally without changing its size or shape.
Therefore, the statement that is true about the triangle formed from these transformations is C. It will be congruent to the original triangle.
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Answer:
The product 12 × 15 in friendlier numbers is (10 + 2) × (10 + 5) = 180
Step-by-step explanation:
The parameter given are;
To 12 × 15 by changing the numbers into friendlier numbers
The product in 12 × 15 written with friendlier numbers (or in a simplified format can be given as follows;
12 × 15 = (10 + 2) × (10 + 5)
Which gives;
(10 + 2) × (10 + 5) = 10² + 10 × 5 + 2 × 10 + 2 × 5
From which we have;
10² + 10 × 5 + 2 × 10 + 2 × 5 = 100 + 50 + 20 + 10 = 180
Therefore;
12 × 15 = 180.
To calculate 12 x 15 using friendlier numbers, break down 15 into 10 and 5, multiply these by 12 to get 120 and 60 respectively, then add these together to get 180.
To calculate 12 x 15 using friendlier numbers, you can break either 12 or 15 down into numbers that are easier to multiply and then combine those results. Here, we'll break down 15 into 10 and 5, which are friendlier numbers.
So, 12 x 15 = 180 using friendlier numbers.
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