Answer:
L = (x - 2) meters
Step-by-step explanation:
The area of the rectangle = (x² - 7x + 10) m²
The width = (x - 5) m
length = ?
Area of a rectangle = length × width
x² - 7x + 10 = L(x -5)
note L = length
divide both sides by (x-5)
(x² - 7x + 10)/(x - 5) = L
L = x² - 7x + 10 / (x -5)
Factorize x² - 7x + 10
find the numbers you can multiply to give you 10 and also add to give you -7
The numbers are -2 and -5. Therefore,
x² - 2x - 5x + 10 = 0
x(x - 2) - 5(x - 2) = 0
(x-5)(x-2) = 0
Let us go back to our division
L = x² - 7x + 10 / (x -5)
x² - 7x + 10 = (x-5)(x-2)
L = (x-5)(x-2) / (x -5)
L = (x - 2) meters
Answer:
The answer is actually B, C, and E
Step-by-step explanation:
Answer:
The volume of the figure is 590.71 mm³
Step-by-step explanation:
To solve this problem we have to find the volume of the cylinder and the volume of the rectangular prism and add them
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 3.65mm
π = 3.14
r = radius = 3.2mm
v = (π * r²) * h
we replace the unknowns with the values we know
v = (3.14 * (3.2mm)²) * 3.65mm
v = (3.14 * 10.24mm²) * 3.65mm
v = 32.1536² * 3.65mm
v = 117.36mm³
To calculate the volume of a rectangular prism we have to use the following formula:
v = volume
w = width = 14.23mm
l = length = 10.08mm
h = height = 3.3mm
v = w * h * l
we replace the values that we know
v = 14.23mm * 10.08mm * 3.3mm
v = 473.347mm³
we add the volumes
v = 117.36mm³ + 473.347mm³
v = 590.707
round to the neares hundredth
v = 590.707 mm³ = 590.71 mm³
The volume of the figure is 590.71 mm³
Answer:
$38,500
Step-by-step explanation:
Take the $385, then divide it by the percentage you know, 1 percent (.01 as a decimal) 385/.01 = $38,500, which is your answer.
Hopefully this helps - let me know if you have any questions!
A number squared would be x squared (x^2)
The product of x squared and ten is 10x^2
Then subtract nine
10x^2 - 9
