Answer:
11x+4
Step-by-step explanation:
2x+4+9x
Combine like terms
2x+9x +4
11x +4
The capsule describe consists of 2 hemispheres (same) and 1 cylinder. We need to sum up the volume of the cylinder and the 2 same hemispheres.
- <u>Volume of Cylinder:</u>
We are given the radius of the cylinder as 3 and the height as 6. The formula for volume of cylinder is . Plugging in 3 for r and 6 for h gives us,
.
- <u>Volume of Hemisphere(s):</u>
We are given the radius is 3 for the hemisphere. The formula for volume of a hemisphere is half of the volume of a sphere. The formula for hemisphere is shown below.
. Plugging in 3 for r gives us,
<em>Now, since we have 2 same hemispheres, we multiply this answer by 2 to get total volume of the 2 hemispheres.</em>
.
- <u>Total volume of the capsule:</u>
In decimal, taking 3.14 as , it is
Rounding to the nearest whole number gives us 283 millimeters squared.
ANSWER: Volume = and
Cosine = adjacent / hypotenuse
So that means the adjacent side = 15 and the hypotenuse = 17
By Pythagorean Theorem, we know that
opposite^2 = hypotenuse^2 - adjacent^2
opposite^2 = 17^2 - 15^2
opposite^2 = 289 - 225
opposite^2 = 64
opposite side = 8
sine = opposite / hypotenuse
So,
sine A = 8 / 17
The correct option is Option 4:
Step-by-step explanation:
Given
Length of box = l = ab
Width of box = w = a+5b
Height of box = h = 2b^2
The volume of a box is given by:
Putting the values
Hence,
The correct option is Option 4:
Keywords: Volume, Polynomials
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