Answer:
Step-by-step explanation:
To find the surface area of a cone, one uses the following formula,
Where (r) is the radius of the base of the cone, and (h) is the height of the cone, () represents the numerical constant (3.1415...). In order for this formula to work, one needs the height of the cone. This can be found using the Pythagorean theorem. One can form a right triangle with the base's radius, the side length, and height of the cone, then solve for the height of the cone. The Pythagorean theorem states the following,
Substitute,
Simplify,
Inverse operations,
Now one can use the formula to find the surface area of a cone, substitute in the given values, and solve,
Substitute,
Answer: the first graph
Step-by-step explanation:
Formula to find the area of the sector is:
Where r= radius and \theta= central angle.
Given, radius is 4 centimeters has a central angle of 30'.
So, we can plug in r=4 and \theta=30° in the above formula to get the area of circle. So,
A= 16*15
A= 240
So, the area of sector is 240 square centimeters.
B because the top angle needs to be a little more than the bottom angle
The oldest son will get $370, the middle will get $220 and the youngest will get $185.
Step-by-step explanation:
Given,
Total amount to be split = $775
Let,
Oldest son's share = x
Middle son's share = y
Youngest son's share = z
According to given statement;
x+y+z=775 Eqn 1
the oldest gets twice as much as the youngest
x = 2z Eqn 2
the middle son gets $35 more than the youngest
y = z+35 Eqn 3
Putting value of x and y from Eqn 2 and 3 in Eqn 1
Dividing both sides by 4
Putting z=185 in Eqn 2
Putting z=185 in Eqn 3
The oldest son will get $370, the middle will get $220 and the youngest will get $185.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly