Answer: About (-2.414, 0) and (0.414, 0)
Step-by-step explanation:
Let us graph the equation given and see what the x-intercepts are. These are points where the line intercepts the x-axis. <em>See attached</em>.
This means our x-intercepts are at about (-2.414, 0) and (0.414, 0).
These are also equal to 
and 
Answer:
18
Step-by-step explanation:
12+24/4
12+6
18
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<h2>
Height of tree is 7.5 feet</h2>
Step-by-step explanation:
Let t be the height of pole.
Given that the tree is 5 feet shorter than a pole.
Height of pole = t + 15
Also given that the pole is 3 times as tall as the tree.
Height of pole = 3t
So we have
t + 15 = 3t
2t = 15
t = 7.5 feet
Height of tree = 7.5 feet
EXPLANATION
The consecutive even numbers are
EXPLANATION
Let
be the first even number then, the next even number will be,
The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,
We multiply through with an LCM of 10 to get,
This simplifies to,
We expand the brackets to get,
We group like terms to get,
This simplifies to
Therefore the next even number is is
Volume of a cone = π r² h/3
I envisioned a cone inside a cube. I only identified the necessary value to compute for the exact volume of the largest cone.
Edges of the cube is 10 inches. When the circle part of the cone is placed in the circle, the diameter would be 10 inches also. I divided it by 2 to get the value of the radius, resulting to 5 inches.
The height of the cone is also the height of the cube. Thus, it is 10 inches.
Volume of the cone = 3.14 * (5in)² * 10in/3
V = 3.14 * 25in² * 3.33 in
V = 261.405 in³ or 261.41 in³ VOLUME OF THE LARGEST CONE THAT CAN FIT IN A 10 INCH CUBE
