Answer:
should be (4a-5)x(4a+5)
Step-by-step explanation:
Answer:
11.968
Step-by-step explanation:
Answer:
Actual volume = 40 cm^3.
Step-by-step explanation:
15% = 0.15 as a decimal fraction.
Let the actual volume be x cm^3, then we have the equation:
x + 0.15x = 46
1.15x = 46
x = 46 / 1.15
= 40 cm^3.
Answer:
AC : BC = 22 : 33 = 2 : 3
Step-by-step explanation:
It is convenient to find the value of x first.
AB/AC = 1/2 = (3x -4)/(2x +12)
Cross-multiplying gives ...
2x +12 = 2(3x -4)
2x +12 = 6x -8
20 = 4x . . . . . . . add 8-2x to both sides
5 = x . . . . . . . . . . divide by 4
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So the side lengths are ...
- AB = 3x -4 = 3·5 -4 = 11
- AC = 2x +12 = 2·5 +12 = 22
- BC = 7x -2 = 7·5 -2 = 33
Then the ratio of interest is ...
AC : BC = 22 : 33
AC : BC = 2 : 3 . . . . . . (divide by 11 to simplify)
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<em>Comment on the triangle</em>
We note that AB+AC=BC, so this "triangle" is actually a line segment 33 cm long.
Answer:
C. 36π
Step-by-step explanation:
The formula for volume of a sphere is:
V=⁴/₃πr³
We are given diameter: 6
To convert to radius, divide by 2.
6÷2=3. R=3
Plug in to formula
V=⁴/₃π3³
Simplify with multiplication
V=⁴/₃π27
V=36π