We are asked to solve for the value of "x" such that when it is added in the original area of the park it will double the area. Let us compute first the area of the original dog park (A1) and the solution is shown below:
Area = Lenght*Width = L*W where L=30 yards and W=20 yards
Area = 30*20
Area = 600 yards squared
Solving for the x, when x is added to both sides which double the area:
A1*2 = (L + 2x)*W
600*2 = (30+2x)*20
1200 / 20 = 30+2x
60 = 30 + 2x
60-30 = 2x
30/2 =x
15 = x
The value of x is 15 yards.
Answer:
He needs 1 more fish tank.
Step-by-step explanation:
18 / 3 = X (X equals the number of fish tanks he needs)
2 + 3 = 5 fish tanks
5 x 3 = 15 fish
18 -15 = 3
Since 5 fish tanks can hold 15 fish he will need 6 fish tanks to hold his 18 fish. He will need 1 more fish tank.
Answer:
Step-by-step explanation:
Part A
Since, the given angles are formed at a point are on a straight line, sum of these angles will be 180°.
Part B
(3x - 5)° + (4x + 2)° + (2x + 3)° = 180°
9x = 180
x = 20
Part C
m∠ADB = (3x - 5)°
= (3×20 - 5)°
= 55°
m∠DBK = (4x + 2)°
= (4×20 + 2)°
= 82°
m∠KBC = (2x + 3)°
= (2×20 + 3)°
= 43°
Answer : 
Given expression is 
To make perfect square trinominal we use completing the square method
In completing the square method we add and subtract the half of square of coefficient of middle term
Here coefficient of middle term is -7
Half of -7 is 
Square of is 
=
So the expression becomes ![x^2 - 7x + [tex] \frac{49}{4}](https://tex.z-dn.net/?f=%20%20x%5E2%20-%207x%20%2B%20%20%5Btex%5D%20%5Cfrac%7B49%7D%7B4%7D%20%20)
that gives perfect square trinomial
Hence , the value of 'c' is
