Step-by-step explanation:
step 1. so ABC is a triangle.
step 2. interior angles of a triangle add up to 180°
step 3. <A + <B + <C = 180°
step 4. 54 + <B + 74 = 180°
step 5. <B = 52°.
Between 1994 and 1998 the population increased by 5 miliion, approximately 1 1/4 million a year.
2016 - 1998 = 18 years at 1 1/4 million a year = 22 1/2 million
Estimate therefore is: 81 + 22 1/2 = 103 !/2 million
Subst. the given x and y values: 6(-1)^4 * (3)^3
6 * 27 = 162
Note that you MUST do the exponentiation first.
Also note that your post would be much clearer if you'd please use " ^ " to denote exponentiation: 6x^4 * y^3
The fence is a 8x4 fence as they multiply up to 32 square feet and 8 is double 4. If you add 8+8+4+4 you will get 24. Then you multiply the perimeter (24) by 3 to get the final cost. This means that the final cost will be $72.00.
9 :
Given,
Perimeter = 88 units
Base = x + 4
Height = x - 6
= > Perimeter of Rectangle = 2( base + height )
= > 88 = 2{ ( x + 4 ) + ( x - 6 ) }
= > 88 / 2 = { x + 4 + x - 6 }
= > 44 = 2x - 2
= > 46 = 2x
= > 46 / 2 = x
= > 23 = x
Therefore,
Length of base = ( x + 4 ) units = ( 23 + 4 ) units = 27 units
Length of height = ( x - 6 ) units = ( 23 - 6 ) units = 17 units
10 :
Given,
First integer = x
Second integer = x + 2
Third Integer = x + 4
Given that the sum of all integers is 36
= > ( x ) + ( x + 2 ) + ( x + 4 ) = 36
= > x + x + 2 + x + 4 = 36
= > 3x + 6 = 36
= > 3x = 30
= > ( 3x ) ÷ ( 3 ) = ( 30 ) ÷ ( 3 )
= > x = 10

Value of first integer = x = 10