Mary will have saved $87.50
$17.50 per three weeks
x per 15 weeks
17.50 x 5 = $87.50
She is incorrect. It doesn’t matter what sides you label a or b but c matters. The longest side (the hypotenuse) is always c.
Answer:
27.5 mm
Step-by-step explanation:
The game piece has the shape of two identical square pyramids attached at their bases. Given that the perimeters of the square bases are 80 millimeters, and the slant height of each pyramid is 17 millimeters.
Let the side length of each of the side of the base of the pyramid be b, hence:
perimeter = 4b
80 = 4b
b = 20 mm. half of the side length = b/2 = 20 / 2 = 10 mm
The slant height (l) = 17 mm, Let h be the height of one of the pyramid, hence, using Pythagoras theorem:
(b/2)² + h² = l²
17² = 10² + h²
h² = 17² - 10² = 189
h = √189
h = 13.75 mm
The length of the game piece = 2 * h = 2 * 13.75 = 27.5 mm.
Answer:
I will get the function of g (x) and plug it on X in the function of f ( x ) and then later substitute X with 1
Perform indicated multiplication on left side first...
-5x-35<-10 add 35 to both sides
-5x<25 divide both sides by -5 (you must reverse sign because of division by a negative value too!)
x>5 or if you prefer...
x=(5, +oo)
