Answer:
Length = 5p + 3
Perimeter = 26p + 6
Step-by-step explanation:
Given
Area = 40p² + 24p
Width = 8p
Solving for the length of deck
Given that the deck is rectangular in shape.
The area will be calculated as thus;
Area = Length * Width
Substitute 40p² + 24p and 8p for Area and Width respectively
The formula becomes
40p² + 24p = Length * 8p
Factorize both sides
p(40p + 24) = Length * 8 * p
Divide both sides by P
40p + 24 = Length * 8
Factorize both sides, again
8(5p + 3) = Length * 8
Multiply both sides by ⅛
⅛ * 8(5p + 3) = Length * 8 * ⅛
5p + 3 = Length
Length = 5p + 3
Solving for the perimeter of the deck
The perimeter of the deck is calculated as thus
Perimeter = 2(Length + Width)
Substitute 5p + 3 and 8p for Length and Width, respectively.
Perimeter = 2(5p + 3 + 8p)
Perimeter = 2(5p + 8p + 3)
Perimeter = 2(13p + 3)
Open bracket
Perimeter = 2 * 13p + 2 * 3
Perimeter = 26p + 6
<span>Let the number of chairs in a row be x, then the total number of chairs is 9x + 3 = 7x + 19. i.e. 9x + 3 = 7x + 19; 9x - 7x = 19 - 3; 2x = 16 x = 16/2 = 8. Thus there are 8 chairs in each row. Therefore, the total number of chairs is given by 9(8) + 3 = 72 + 3 = 75.I hope that my answer is helpful! Let me know if you need something more :)</span>
Answer:
8.26
Step-by-step explanation:
you can solve this by putting x for blank
x-5.27=2.99
solve for x
x-5.27+5.27=2.99+5.27
x=8.26
Your question factored out would be 13mn^3 + 21p
Answer:
∠A=67°
∠B=70°
∠C=43°
Step-by-step explanation:
<u><em>The correct question in English is</em></u>
Determines the measurement of each of the angles of the triangle ABC if it is known that A=(3x+1)°,B=(3x+4)° and C=(2x-1)°.
we know that
The measure of the interior angles in a triangle must be equal to 180 degrees
so
∠A+∠B+∠C=180°
substitute the given values
solve for x
Find the measure of each angle
∠A=(3(22)+1)=67°
∠B=(3(22)+4)=70°
∠C=(2(22)-1)=43°
