Answer:
0.5 seconds
Step-by-step explanation:
On the ground, height is 0
-16t² + 4 = 0
16t² = 4
t² = 4/16
t² = ¼
t = ½
The only way 3 digits can have product 24 is
1 x 3 x 8 = 241 x 4 x 6 = 242 x 2 x 6 = 242 x 3 x 4 = 24
So the digits comprises of 1,3,8 or 1,4,6, or 2,2,6, or 2,3,4
To be divisible by 3 the sum of the digits must be divisible by 3.
1+ 3+ 8=12, 1+ 4+ 6= 11, 2 +2 + 6=10, 2 +3 + 4=9Of those sums of digits, only 12 and 9 are divisible by 3.
So we have ruled out all but integers whose digits consist of1,3,8, and 2,3,4.
Meanwhile they must be odd they either must end in 1 or 3.
The only ones which can end in 1 are 381 and 831.
The others must end in 3.
They must be greater than 152 which is 225. So the
First digit cannot be 1. So the only way its digits can contain of1,3,8 and close in 3 is to be 813.
The rest must contain of the digits 2,3,4, and the only way they can end in 3 is to be 243 or 423.
So there are precisely five such three-digit integers: 381, 831, 813, 243, and 423.
Answer:
x = 200
Step-by-step explanation:
Given
x - 
y = 30 ← substitute y = 15 into the equation
x - × 15 = 30 , that is
x - 10 = 30 ( add 10 to both sides )
x = 40 ( multiply both sides by 5 to clear the fraction )
x = 200
Answer:
a) 50.24 ft²
b) 150.72 ft²
Step-by-step explanation:
Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet.
The distance across a circle is also called a diameter, Hence,
D = Diameter = 8 ft
The Area of a circle = πr²
r = Diameter/2 = 8ft/2 = 4ft
π = 3.14
Hence,
The Area of the circle = π × (4 ft)²
= 50.24 ft²
a) Approximately the amount of wall the circle will cover is 50.24 ft².
b) How much area will he cover if he painted a circle on three walls?
This is calculated as:
1 wall = 50.24 ft²
3 walls = x
Cross Multiply
x = 3 × 50.24 ft²
x = 150.72 ft²
