The simple closed curve is called the base of the cone, and the fixed noncoplanar point is the vertex. ... Figure %: A right circular cone It is easy to see the close relationship between pyramids and cones. The only difference is the base--a pyramid is a cone with a polygonal base.
Answer:
x = 0
Step-by-step explanation:
To 'solve' means to find the x values that make the equation equal zero, so
0 = (3x)/[(x + 5)(x - 4)
Multiply both sides by the denominator to get rid of the fraction
0[(x + 5)(x - 4)] = [(3x)(x + 5)(x - 4)]/[(x + 5)(x - 4)]
0 = 3x
0 = x (divide both sides by 3)
So x = 0 is the solution for this equation
Hey there!
14 + 3y < 65
SOME people replace “<”, “>”, “≥”, or “≤” as an equal sign (=) to make it easier to solve
14 + 3y < 65
14 + 3y = 65
SUBTRACT by 14 on both of your sides
3y + 14 - 14 = 65 - 14
CANCEL out: 14 - 14 because that gives you 0
KEEP: 65 - 14 because it helps you solve for “y”
**65 - 14 = 51**
NEW EQUATION: 3y = 51
DIVIDE by 3 both of your sides
3y/3 = 51/3
CANCEL out: 3/3 because that gives you 1
KEEP: 51/3 because it gives you the value of “y”
NEW EQUATION: y = 51/3
**51/3 = 17**
Answer: y = 17 ☑️
☑️ OVERALL ANSWER FOR YOU: y < 17 ☑️
NOTE: it’s an OPEN circle SHADED to the LEFT
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
Height of the tank is 1.5m
Step-by-step explanation:
Given
Shape: Cuboid
Base Dimension = 2.5m by 2m
Volume = 7500 litres
Required
Determine the height of the tank
First, the area of the base has to be calculated;
Next is to calculate the height using volume formula;
Recall that Volume = 7500L [Convert to m³]
So;
Hence;
Substitute 7.5m³ for Volume and 5.0m² for Area in the following formula
Divide both sides by 5.0m²
<em>Hence, the height of the tank is 1.5m</em>
Answer:
40 km on the highway
30 km on the city roads
Step-by-step explanation:
Let x = highway
Let y = city road
The time formula: time = distance / speed.
1) Since we do not know the distance travelled on the highway and city roads but we do know the total time taken, we can say x + y = 70. Set the distances x and y and all equated to 2 hours, since we do not know them, nor do we know the time. This is called a system of equations.
x + y = 70
x/80 + y/20 = 2
2) Solve the system of equations using substitution.
x = 70 - y
---------------
70 - y/80 + y/20 = 2
70 + 3y/80 = 2
y = 30
---------------------------------
x + 30 = 70
x = 70 - 30
x = 40
Therefore, the delivery truck travelled 40 km on the highway and 30 km on the city roads.
