Answer:
Required number is 4.
Step-by-step explanation:
Let the required number be a.
Given,
Sum of ten times the integer and seven times it’s square is 152.
= > Ten times of a + seven times of it's square = 152
= > 10( a ) + 7( a )^2 = 152
= > 10a + 7a^2 - 152 = 0
= > 7a^2 + 10a - 152 = 0
= > 7a^2 + ( 38 - 28 )a - 152 = 0
= > 7a^2 + 38a - 28a - 152 = 0
= > a( 7a + 38 ) - 4( 7a + 38 ) = 0
= > ( a - 4 )( 7a + 38 ) = 0
= > a = 4 or - 38 / 7
Hence the required number is 4.
Answer:
The sum of interior angles of given polygon is 900°
Step-by-step explanation:
A regular polygon is a n-sided figure with n sides and the length of all sides is same.
In the diagram, we have a polygon with 7 sides.
The formula given is used to calculate the sum of interior angles of a polygon

Here n is the number of sides of polygon
In the given polygon
n = 7
So,

Hence,
The sum of interior angles of given polygon is 900°
Answer:
90 Minutes
Step-by-step explanation:
If he took 27 minutes to do 30% of his homework, then we can reverse the operation to find the total amount
30% is the same as 0.3, therefore you divide 27 by 0.3 because the 100% is 1, so by dividing you'll get the 100%.
Answer:
D) b = 
Step-by-step explanation:
First, move all the terms that do not include b to the left side with S:
S = 2ab + 2bc + 2ac
S - 2ac = 2ab + 2bc
Now, factor out 2b from the right side:
S - 2ac = 2b(a + c)
Divide both sides by 2(a + c):
b = 
Finally, multiply out the denominator:
b = 