Answer:
0.571428571429 grams per cm³
Step-by-step explanation:
density = mass/volume
Let’s calculate the volume V of the pyramid :
V = (1/3)×base×height
= (1÷3)×(5×7)×9
= 105 cm³
Then
The density = mass/volume
= 60÷105
= 0.571428571429
Answer:
(a) 7.5 seconds
(b) The horizontal distance the package travel during its descent is 1737.8 ft
Step-by-step explanation:
(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀
The initial height of the object s₀ = 900 feet
The initial vertical velocity of the object v₀
= 0 m/s
The time it takes the package to strike the ground is found as follows;
0 = -16·t² + 0×t + 900
900 = 16·t²
t² = 900/16 = 62.25
t = √62.25 = 7.5 seconds
(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have
158 miles/hour = 231.7126 ft/s
The horizontal distance the package covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place
The horizontal distance the package travel during its descent = 1737.8 ft.
Answer:
(-4, -1)
Step-by-step explanation:
-3x - 8y = 20; y = 5x + 19
y = 5x + 19; -3x - 8y = 20
y = 5x + 19
-3x - 8y = 20
-3x - 8(5x + 19) = 20
-43x - 152 = 20
-43x - 152 + 152 = 20 + 152
-43x = 172
-43x / -43 = 172 / -43
x = -4
y = 5x + 19
y = (5)(-4) + 19
y = -1
Answer:
X=24
Step-by-step explanation:
1. (4x + 11) + (3x + 1) = 180 (Combine like terms)
2. 7x + 12 = 180 (Subtract 12 from both sides)
3. 7x = 168 (Divide both sides by 7)
4. x = 24
Answer:
step one simply hope it helped!
Step-by-step explanation: