The miles he drove North on Avenue B is 24 miles.
<h3>What is Pythagoras theorem? </h3>
According to the Pythagoras theorem, the square of the hypotenuse is the sum of the square of the opposite sides.
The Pythagoras theorem: a² + b² = c²
Where:
- a = length
- b = base = 7 miles
- c = hypotenuse = 25 miles
<h3>How many miles did he drive north of Avenue B? </h3>
25² - 7²
625 - 49 = 576
√576 = 24 miles
Please find attached the required diagram. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
I agree with your answer "supplementary". The two angles combine to form 180 degrees, aka a straight angle
Your teacher seemed to have made a typo.
Answer:
C. 5 is solution of the inequality: B>2.1
11 times as many damselfish as clownfish would mean damselfish = 11 times clownfish. Use variable to represent each fish, so variable c will be used to represent clownfish and variable d with be used to represent damselfish. So from as before, d = 11c . Since there is a total of 36 fish, the equation would look to be about d + c = 36. Since we know that d = 11c, you replace the d with 11c. So it will now look like 11c + c = 36. Add like terms , which will be 11c + c to equal 12c. So the new equation is now 12c = 36. To isolate variable c, divide 12 to both sides to get c = 3 . There are 3 clownfish. To find out how many damselfish, replace 3 with c in the equation for d, which is d = 11c. d = 11(3) . d = 33. There are 33 damselfish and 3 clownfish in the tank.
We have been given that a right triangle with integer sides has area equal to 30. We are asked to find the length of hypotenuse of right triangle.
We know that area of triangle is half the product of its base length and height.
Since our given triangle is a right triangle, so its base and height will be legs of right triangle.
This means that product of two bases is 60.
Now we need to find two multiples of 60 such that they are make a right triangle.
Multiples of 60:
1, 60
2, 30
3, 20
4, 15
5, 12
6, 10
We know that (5, 12 and 13) is a Pythagoras triplet.
Therefore, the hypotenuse of right triangle is 13 units.
