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.
When 
![t=\cos A+\sin A\in[-\sqrt{2};\sqrt{2}]\approx[-1.4142;1.4142]](https://tex.z-dn.net/?f=%20t%3D%5Ccos%20A%2B%5Csin%20A%5Cin%5B-%5Csqrt%7B2%7D%3B%5Csqrt%7B2%7D%5D%5Capprox%5B-1.4142%3B1.4142%5D%20)
and there is only one answer t = 1.
For 
both values are correct.
Answer: Raja needs 150.72 cubic centimeters for each horn.
Step-by-step explanation:
Since the horns that Raja is making are cone shaped, then we would determine the amount of clay she needs by applying the formula for
determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
h represents the height of the cone.
r represents the radius of the cone
π is a constant whose value is 3.14
From the information given,
Height = 16 centimeters
Diameter = 6 centimeters
Radius = diameter/2 = 6/2 = 3 centimeters
Therefore,
Volume = 1/3 × 3.14 × 3² × 16 = 150.72 cubic centimeters
Answer:
Janet has three dollars. She decides to start saving money for five months. She wants to have a total amount of fifteen dollars at the end of the five-month period. How much money should Janet save per month?
She starts with three, and p is the amount of money she needs to save per month, and at the end of the period, she should have saved a total of fifteen dollars. In order to solve it, you must find what 12 divided by 5 is and write it as an amount of money. The answer is $2.40 or 2.4.
Step-by-step explanation:
