20x^2+50 = -40x^2+110x [ Taking x as the unknown positive integer ]
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Answer:
Your answer would be 3 miles.
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Explanation and work:
To find the answer for this question, we would use the numbers we know that was provided in the question and use it to get us the answer.
The equation we would use in this type of question is the Pythagorean Theorem.
Pythagorean Theorem:
a² + b² = c²
When you draw out the different locations, it would end up looking like a triangle since you trying to find the diagonal line from the grocery store to the house. In the triangle, it would be the hypotenuse. I will put a picture below.
Lets start solving:
1.8 would be plugged into "a"
2.4 will be plugged into "b"
(1.8)² + (2.4)² = c²
↓ ↓ ↓
3.24 + 5.76 = c²
↓
9 = c²
↓
√9 = √c²
↓
3 = c
3 miles would be your FINAL answer.
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Steps to solve:
15 + 2a = 35
~Subtract 15 to both sides
2a = 20
~Divide 2 to both sides
a = 10
Best of Luck!
Answer:
Area=36
Step-by-step explanation:
Area of rhombus: diagonal 1 x diagonal 2 divided by 2.
To find the area of a rhombus, you need to find the length of both diagonals(which is the distance between 2 points across from each other).
First, find the distance between -8 and 4 which is 12.
Next, find the distance between -1 and -7 which is 6.
12 x 6 =72
72/2=36
Total number of animals at the shelter = 15 + 12 +3 + 5 = 35 animals.
Let the total number of animals be represented by 100%
There are 15 dogs and 12 cats so:
% Number of dogs = 15/35 x 100% = 42.86%
% Number of cats = 12/35 x 100% = 34.28%
