Answer:
a. 277.3 m²
b. $307.86
Step-by-step explanation:
a. Area of the wall to be painted = area of rectangle - area of triangle
= L × W + ½×a×b×sin θ
L = 17 m
W = 14 m
a = 8.7 m
b = 9.5 m
θ = 72°
Plug in the values into the equation
Area of the wall = (17×14) + (½*8.7×9.5×sin 72)
Area of the wall = 238 + 39.3024105
Area of the wall to paint ≈ 277.3 m²
b. 20 liters of paint of 1 container cost $21.99
If 1 liter of paint covers 1m², therefore,
277.3 m² will need = 277.3 × 1 = 277.3 liters of paint.
20 liters = 1 container of paint
277.3 liters = 277.3/20 = 13.865 ≈ 14 containers
1 container = $21.99
14 containers = 21.99 × 14 = $307.86
The correct answer is <span>(−9, −12)</span>
Responder:
$ 22
Explicación paso a paso:
Monto principal = $ 20
Tasa de interés = 10% = 10/100 = 0.1
Tiempo = 1 año
Cantidad ganada después de 1 año:
Principal (1 + (tasa de interés * tiempo))
$ 20 (1 + (0,1 * 1))
$ 20 (1 + 0.1)
$ 20 (1,1)
$ 22
Ganará $ 22 después de un año.
Answer:
x≤-3 2 ≤x<7
Step-by-step explanation:
(x^2+x-6) /(x-7) ≤0
Factor the numerator
(x+3)(x-2) / (x-7)≤0
Critical points are
X =-3 X =2 X=7
We need to check the values when
x≤3 -3 ≤ x≤2 2 ≤x<7 x>7
(x cannot be 7 because then the denominator is zero)
and see when it is less than 0
Substitute a value in and see if factor is positive or negative
x≤-3
(negative)(negative) / (negative) = negative
-3 ≤x≤2
(positive)(negative) / (negative) = positive this range does not work
2 ≤x<7
(positive)(positive) / (negative) = negative
x>7
(positive)(positive) / (positive)
