Answer: 20 cm
To solve this, use the Pythagorean Theorem, a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse of the right triangle.
**The Pythagorean Theorem only works for right triangles.**
Substitute in the values.
a² + b² = c²
12² + 16² = c²
Solve for c, the hypotenuse.
12² + 16² = c²
144 + 256 = c²
400 = c²
c = √400
c = 20
<span>This is a very nice counting question.
Suggestion / Hint: Count how many ways he can get from (0,0) to (5,7) by going through the point (2,3). Then subtract that from ALL POSSIBLE ways he can get from (0,0) to (5,7).
Hint for the hint: How many ways he can get from (0,0) to (5,7) by going through the point (2,3)? Well, that's the SUM of how many ways he can get from (0,0) to (2,3) and how many ways he get get from (2,3) to (5,7).
Hope this helps! :)</span>
Answer:
Step-by-step explanation:
Let's see how well I can explain this. 
is the same as a 30 degree angle which is in quadrant 1. If you picture the unit circle, right in the center of it is the origin. If you draw a straight line from 30 degrees and through the center (the origin), you will automatically "connect" with the reference angle of 30 (this is true for ALL angles on the unit circle). This puts us in quadrant 3. In quadrant 3, x is negative and so is y. So the terminal point of the reference angle for 30 degrees has the same exact values, but both of them are negative (again, because both x and y are negative in quadrant 3). I can't see your choices but the one you want looks like this:
Answer:
For 1,000 bricks, the amount charged will be the same
Step-by-step explanation:
Let the number of bricks for which they charge the same amount be $x
Thus;
The total cost from the first company will
be;
250 + 0.2(x) = 250 + 0.2x
The second will charge;
400 + 0.05(x) = 400 + 0.05x
Since the amount charged will be equal at x bricks, we need to equate both;
400 + 0.05x = 250 + 0.2x
400-250 = 0.2x-0.05x
150 = 0.15x
x = 150/0.15
x = 1,000
Answer:
Step-by-step explanation:
