Pythagorean theorem: a² + b² = c²
a = long leg
b = short leg
c = hypotenuse
graph can form a right triangle:
JK: a = 7 - 3 = 4 ; b = 5 - 3 = 2
⇒ 4² + 2² = c² ⇒ 16 + 4 = 20 ; c = √20 = 4.47 or 4.5 units
VW: a = 6 - (-2) = 6 + 2 = 8 ; b = -3 - (+4) = 7
⇒ 8² + 7² = c² ⇒ 64 + 49 = 113 ; c = √113 = 10.63 units
EG: a = 7 - (-2) = 7 + 2 = 9 ; b = 9 - 1 = 8
⇒ 9² + 8² = c² ⇒ 81 + 64 = 145 ; c = √145 = 12.04 units
EG: a = -1 - 6 = 7 ; b = 2 - (-2) = 2 + 2 = 4
⇒ 7² + 4² = c² ⇒ 49 + 16 = 65 ; c = √65 = 8.06 units
Trapezoid: Rectangle and right triangle.
Rectangle = 1 side of the width is the long leg of the right triangle.
a = 8 - 2 = 6 ; b = 12 - 9 = 3
6² + 3² = c² ; 36 + 9 = 45 ; c = √45 = 6.71 units
upper base:CD: 9 - 2 = 7
lower base: BA: 12 - 2 = 10
side: DA: 8 - 2 = 6
side: CB: 6.71
Perimeter = 7 + 10 + 6 + 6.71 = 29.71 units
Answer: 286 Calories
Step-by-step explanation: Hope this helps ;)
9514 1404 393
Answer:
$448
Step-by-step explanation:
The given formula will tell you the amount of interest earned:
I = Prt
I = $400·0.02·6 = $48
The account balance will be the sum of the original deposit and the interest it earns:
$400 +48 = $448 . . . . balance after 6 years
Answer:
6
Step-by-step explanation:
Let x = number of hours.
Let y = cost.
The fixed cost is $11.
The cost per hour is $2.
For x hours, the cost per hour is 2x.
y = 2x + 11
23 = 2x + 11
12 = 2x
x = 6
Answer: 6
The discount is 15%, multiply the price y 15%:
5000 x 0.15 = 750
The discount is 750