Answer:
-41
Step-by-step explanation:
Using PEMDAS, you would first do multiplication and division:
-24*3 = -72
-72/2 = -36
Subtracting by 5 you get:
-41
We know that
[volume of cylinder]=pi*r²*h------------> h=[volume of cylinder]/(pi*r²)
Volume=5652 cm³
r=7.5 cm
so
h=[5652]/(3.14*7.5²)-----------> h=32 cm
<span>the height of the soap in the full dispenser is 32 cm
</span><span>the height when 4,239 cubic centimeters of soap remains in the dispenser is
</span>h=[4239]/(3.14*7.5²)-----------> h=24 cm
hence
<span>the difference is 32-24--------> 8 cm
</span>
the answer is
8 cm
c had the same ? then got it right
Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long