Answer:
Step-by-step explanation:
(2/5 * 30) * 6^2 - 3^2 Reduce 2/5 * 30
180 * 6^2 - 3^2 Raise the bases of the power
180 *36 - 9 Multiply 36 and 180
6480 - 9 Subtract 9
6471
Answer:
To find the hypotenuse you need to use the Pythagorean Theorem which is
a^2+b^2=c^2
Where a and b are your two sides and c is your diagonal line
So you want to plug the numbers in for the right variables
5^2+12^2=c^2
We want to find what c equals so we are first gonna simplify
25+144=c^2
we take 5^2=25, and 12^2=144, then we add them together 25+144=169
169=c^2 now you want to take 169 and square root it because the opposite of squaring is taking it by the root square
The square root of 169=13
Your hypotenuse is 13
Hope this helps ;)
<span>3(x+2)= 4x+1 |Given
3x+6= 4x+1 |Distributive
−x+6= 1 |SPOE (Subtraction Property of Equality)
−x= −5 |SPOE
x=5 |MPOE (Multiplication Property of Equality)</span>
Answer:
Area of the given regular pentagon is 61.5 cm².
Step-by-step explanation:
Area of a regular polygon is given by,
Area = 
Here, a = Apothem of the polygon
P = Perimeter of the polygon
Apothem of the regular pentagon given as 4.1 cm.
Side of the pentagon = 6 cm
Perimeter of the pentagon = 5(6)
= 30 cm
Substituting these values in the formula,
Area = 
= 61.5 cm²
Therefore, area of the given regular pentagon is 61.5 cm².
