Answer:
dilation has on a figure when the scale factor is greater than zero but less than one
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
I can't really explain this well but, when you double 4 you get 8 (which is how many she did), so since you doubled 4 you also have to double 1 which would be 2. Then add 8 and 2 and you get 10
Answer:
$12000 at 5%
$27000 at 6.5%.
Step-by-step explanation:
Let x represent amount invested at 5% and y represent amount invested at 6.5%.
We have been given that a combined total of 39000 is invested in two bonds. We can represent this information in an equation as:
We are also told that the annual interest rate is 2355.00. We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, an amount of $12,000 is invested at 5%.
Upon substituting in equation (1), we will get:
Therefore, an amount of $27,000 is invested at 6.5%.
Answer:
8
Step-by-step explanation:
To solve this problem, we need to find the area of the pen, then divide that by the area required by each dog.
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The relationship between circumference and radius is ...
C = 2πr
Solving for r gives ...
r = C/(2π)
The relationship between radius and area of a circle is ...
A = πr²
Substituting for r from above gives ...
A = π(C/(2π))² = C²/(4π)
Filling in the given numbers, we find the area of the pen to be ...
A = (78.5 ft)²/(4·3.14) = 490.625 ft²
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Dividing the pen area by the area per dog gives the number of dogs the pen can hold:
(490.625 ft²)/(60 ft²/dog) ≈ 8.18 dogs
The pen can safely keep 8 dogs.
Equation:
3x+10 = 45+10 = 55
The answer is 55 because this is a isosceles triangle.
