Answer:
x = 2
Step-by-step explanation:
1 - Rewrite
6 - 2/3 (x+5) = 4x
2 - Distribute
6 - 2/3x + 10/3 = 4x
3 - Combine like terms and get x alone
6 10/3 - 2/3x = 4x
+2/3x +2/3x
6 10/3 = 4 2/3x
------------------------------- Convert to decimals
6.3333333333.... = 4.333...x
-------------------------------- Divide both sides by 4.33...x
2 = x
Hope this helps :)
<h3>Given:</h3>
<h3>Note that:</h3>
<h3>To find:</h3>
The volume of the given cone.
<h3>Solution:</h3>


Let's solve!
Substitute the values according to the formula.


<u>Therefore, the volume of the given cone is 75.36 cubic yards.</u>
(√3 + √11)² + (√3 - √11)²
- (a+b)² = a² + b² + 2ab
- ( a - b )² = a² + b² - 2ab
<em>Now </em><em>,</em>
(√3 + √11)² + (√3 - √11)²
(3 + 11 + 2√3√11)+ (3 +11 - 2√3√11)
14 + 2√33+ 14 - 2√33
14 + 14 = 28
Hence , The value of (√3 + √11)² + (√3 - √11)² is 28 .
Answer:
-8(3x-2y)
Step-by-step explanation:
Factor out each number because 8 times 3 equals 24
And -2 times -8 is 16
Answer:
Step-by-step explanation:
(1)The units for measuring angles are degrees and radians
A circle is 360° which is equal to 2π radians
1°=π/180
To convert angle measurement from degrees to radians multiply the value of degrees by π/180
(11)
To convert angle measurement from radians to degree multiply the value of radian by 180/π
(111)Yes it matters because you will use different formulas to calculate the length of the arc
For example , when the central angle is in radians, the formula to apply is;
⇒ S=rФ -------------where r is the radius of circle and Ф is angle in radians and S is the arc length.
⇒ When the central angle value is in degrees , the formula to apply is
Arc length =2πr×(Ф/360) where Ф is in degrees , r is radius of circle
2. 
we know π=180°
hence 17/6 π=?---------------cross multiply

Apply trigonometry
Find sine 510°
Sine (510°-360°)= sine 150°
Sine 150° = sine 30° = 1/2-----------------2nd quadrant
This means sine 510° = 1/2