Answer:
No, with the guides in between the two ladders, it is not possible for the lower ends of the ladder to be up to 12 feet apart
Step-by-step explanation:
The given parameters are;
The length of two sides of the step ladder = 12 feet
The maximum value allowable for the included angle between the two 12 feet ladders = 58°
Therefore, the maximum value of the third side facing the included angle is given as follows;
let "a" represent the maximum value of the third side formed by the distance apart of the lower end of the ladder, by cosine rule, we have;
a² = 12² + 12² - 2 × 12 × 12 × cos(58°) = 135.383251901
∴ a = √(12² + 12² - 2 × 12 × 12 × cos(58°)) ≈ 11.64
The maximum value of the third side formed by the distance apart of the lower end of the ladder = a ≈ 11.64 feet < 12 feet
Therefore, it is not possible for the lower ends of the ladder to be up to 12 feet apart.
I believe the answer is 1.343 x 10^5
As ordered pairs ( g , C ) where g is the number of games and C is the cost
( 5, 20.50) and ( 9, 28.50)
the slope M = ( 28.50 - 20.50 ) / (9-5)
= 8/4
= 2
So the slope M=$2 per game
Using (5, 20.50)
The intercept B = y - m* g
= 20.50 - 2 * 5
= 20.50 - 10
= 10.50
So the fixed base cost, or FLAT RATE is $10.50.
That is if they played ZER0 games, they still have
to pay $10.50 just to get in.
The linear function is C (g) = 2*g + 10.50
The area is 20.5632 cm sq.
Lets break it down:
Triangle- the area of a triangle is bh/2 (base×height÷2). If we plug in the numbers, the base is 4.8 and the height is 4.8. 4.8×4.8= 23.04÷2= 11.52
Semi circle- the area of the semi circle is pi×radius×radius. We have the diameter (4.8) so we would need to divide 4.8 by 2 to get 2.4. 2.4×2.4×3.14= 18.0864. We need to divide that by 2 because its a semi circle so 18.0864÷2= 9.0432
11.52+9.0432= 20.5632 cm sq.
hope this helps!
