Step-by-step explanation:
x² + 4x − 4 = 8
x² + 4x − 12 = 0
(x + 6) (x − 2) = 0
x = -6 or x = 2
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:
Area of given figure = 37.68 unit²
Step-by-step explanation:
Given:
Radius of given shape = 4 unit
Angle = 270°
Value of π = 3.14
Find:
Area of given figure
Computation:
Area of given figure = [Ф/360][πr²]
Area of given figure = [270/360][(3.14)(4)²]
Area of given figure = [0.75][(3.14)16]
Area of given figure = [0.75][50.24]
Area of given figure = 37.68 unit²
Answer: There are 90 snack boxes.
Step-by-step explanation:
Given : The number of kinds of fruits = 5
The number of kinds of herbal teas = 3
The number of kinds of flavors of wrap sandwich = 6
Then by using the fundamental principal of counting, the number of possible snack are there will be :_
Therefore, the number of possible snacks = 90
It looks like a slide because it looks to be shifted not flipped or changed in other way.
