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kotykmax [81]
3 years ago
7

( 10x-20) (6x + 8) what is the value of x

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
3 0
(10x-20)=(6x+8)

We simplify the equation to the form, which is simple to understand
(10x-20)=(6x+8)

Remove unnecessary parentheses
10x-20=(6x+8)

Remove unnecessary parentheses
10x-20=6x+8

We move all terms containing x to the left and all other terms to the right.
+10x-6x=+8+20

We simplify left and right side of the equation.
+4x=+28

We divide both sides of the equation by 4 to get x.
x=7
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3 years ago
A cone-shaped pile of sawdust has a base diameter of 38 feet, and is 14 feet tall. Find the volume of the pile
Romashka-Z-Leto [24]

Answer:

Given: Diameter of cone = 38 feet and height of cone = 14 feet.

Volume of cone V with radius r is one-third the area of the base B times the height h.

i,e  V = \frac{1}{3} B \cdot h = \frac{1}{3} \pi r^2h  ......[1]

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First find the radius(r);

Using Diameter(D) = 2r

38 =2r

Divide both side by 2 we get;

\frac{38}{2} =\frac{2r}{2}

Simplify:

19 = r

or r =19 feet

Now, substitute the value of r = 19 feet and h = 14 feet in [1]    [ Use value of  \pi = \frac{22}{7} ]

then, we have:

V = \frac{1}{3} \pi r^2h = \frac{1}{3} \cdot  \frac{22}{7} \cdot (19)^2 \cdot (14)

or

V = =\frac{1}{3}\cdot 22 \cdot 19 \cdot 19 \cdot  2 = \frac{22 \cdot 19 \cdot 19 \cdot 2}{3}

or

V = \frac{15884}{3} =5,294.66667 ≈ 5,294.67 cubic feet.

therefore, the volume of pile is; ≈ 5,294.67 cubic feet.


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What is cramers rule.
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Cramer's Rule is a method that uses determinants to solve systems of equations that have the same number of equations as variables

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