Answer:
So the height is 12
Step-by-step explanation:
Let W be the width
Let W- 4 be the height
W2 +(W-4)2 = 400
So: W2 -4W-192 =0
One uses the quadratic solution:
W = (4 + (16 + 4*192).5)/2 = 16
With this problem, we have two right triangles meaning we will end up using the Pythagorean Theorem. For the sake of the problem, let's say the boat is at point D. The two triangles we have are ΔACD and ΔABD. Let's first go through and define the lines.
Let's start with ΔACD:
Port A is 24 miles from Port C so AC = 24mi. We will represent this as line a
Port C is 25 miles from Boat D so CD (the hypotenuse) = 25mi. We will represent this as line c
We do not know the distance between Port A and Boat D (AD also known as line b) so let's calculate that since we will need it at the end.
We can calculate line b's length using the theorem: a² + b² = c²
a = 24mi
b = ?
c = 25mi
So
(24)² + b² = (25)²
576 + b² = 625
Subtract 576 from both sides to isolate b²
576 + b² - 576 = 625 - 576
b² = 49
Now take the square root of both sides
√b² = √49
b = 7 miles.
Now we know that the distance between Port A and Boat D is 7 miles.
Now let's move on to ΔABD
Port B is 15 miles from Port A so AB = 15mi. We will represent this as line a
Boat D is 7 miles from Port A so AD = 7mi. This will still be line b
We do not know the distance between Port B and Boat D (BD also known as line c).
Time to use the Pythagorean Theorem once more!
a² + b² = c²
15² + 7² = c²
225 + 49 = c²
274 = c²
Take the square root of both sides
√274 = √c²
c ≈ 16.6mi when we round to the nearest tenth
So the distance between Port B and the boat is 16.6 miles
Answer: 15 players.
Step-by-step explanation:
number of games played in the tournament = 105 games
nunber of games played by each player against another = 1 game each.
Solution:
Number if player who participated in the tournament.
if each player played a game against every other player, and they were 105 games played at the tournament.
n ( n – 1 ) /n = m
= n ( n – 1 ) 2 = 105
open the bracket
n^2 – n = 210
n^2 – n – 210 = 0
( n – 15 ) ( n + 14 ) = 0
n = 15
15 players Participated In the tournament.
2/3+2/3+2/3= 6/3= 2 pans of brownies
You need three servings of 1/4 sugar to make the brownies.
1/4*3= 3/4
Harriet needs 3/4 cups of sugar for brownies.
I hope this helps!
~kaikers
Answer:
Step-by-step explanation: