Answer:
x=2√3
Step-by-step explanation:
Let's solve your equation step-by-step.
x2
3
=4
Step 1: Simplify both sides of the equation.
1
3
x2=4
Step 2: Divide both sides by 1/3.
1
3
x2
1
3
=
4
1
3
x2=12
Step 3: Take square root.
x=±√12
x=2√3 or x=−2√3
Answer:
67 is a prime number
Step-by-step explanation:
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The cost price of the table is $40.
<h3>What is Gain ?</h3>
Gain is the amount gain by selling the product at a higher price than its cost.
Let the cost of the table is $ x
The percentage gain is x% (as given in the question)
Cost price = ?
It is known that
Step 1 : Gain = ( selling Price - Cost Price) * 100 / Cost Price
Selling price = 56
Cost Price = $ x
Therefore substituting the value
x = (56 - x) * 100 / x
x² = 5600 - 100x
x² +100x -5600 = 0
Step 2 : Factorizing
x² + 140x - 40 x -5600 = 0
x( x+14 ) -40( x +14) = 0
( x - 40)(x +14) = 0
x = $40
Therefore the cost price of the table is $40.
To know more about Gain
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Volume of sphere = 4/3 x PI x r^3
= 4/3 x 3.14 x 6^3
= 904.3 cubic meters
Volume of cone = PI x r^2 x h/3
h = √13^2-5^2 = 12
= 3.14 x 5^2 x 12/3
= 314 cubic meters
1.

and

2. Distance
3. 1-(-2.5)=3.5
4. 3.5-1=2.5
5. {drawing}
6.15.8-9.9=5.9
7. 17+3y=5y+9; y=2; MP=17+3y=17+3(2)=23
8. (110+23)/2=66.5
9.
10. 2y=8y-3; 6y=3; y=2; DE=6; EF=13; DF=19
11. (2/3)-(-5.25))
12. -2-(-5.25)=3+(1/4)
13. {drawing}
14. 17.1-8=9.1
15. 2.5x+x=5x-3; 1.5x=3; x=2; MN=5
16. (50-24)/2=13; 13+(24-9)=28yd
17.
18. 3y=42/2;y=7; QR=21