Answer:
Step-by-step explanation:
Radius r = 15
Circumference = 2πr = 30π cm
Circumference of cone = arc length of sector
= 30π × 216°/360°
= 18π cm
Radius of base of cone = 18π/(2π) = 9 cm
Slant height of cone = radius of circle = 15 cm
Height of cone = √(15² - 9²) = 12 cm
Money spent by Americans last year=$1,180-6.8% of $1,180
=$1099.76
The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.
<h3>Lateral surface area of a cone</h3>
The formula for the lateral surface area of a cone is described as follows:
Lateral area = πrl
where
- r = base radius
- l = slant height
Therefore,
Lateral area = 19.2π inches²
r = 2.4 inches
Lateral area = π × 2.4 × l
19.2π = 2.4πl
divide both sides by 2.4π
l = 19.2π / 2.4π
l = 8 inches
learn more on cone here: brainly.com/question/27170515
A prime number is a number that has only two factors: 1 and itself
For example, the number 7 has two factors: 1,7 This makes 7 a prime number
Since the number has to be greater than 50, we can go to the next whole number; 51
51 has four factors, 1,3,17,51 This is not our prime number
52 is even so obviously it's not prime because you can divide by two
53 has only two factors; 1,53 This means that its prime and the answer is 53 :)
If you have any questions feel free to ask
Answer:x=-3,y=3
or (-3,3)
Step-by-step explanation: