Well the volume of a cube is lbh that is length×breath×height which is given to be equal to 672.5cm3 thus lbh=672.5cm3
lb×10cm=672.5cm3 (putting value of h) solve and u obtain the Base area! (lb)
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Answer:
(-4√494)/13i +(6√494)/13k ≈ -6.8388i +0j +10.2585k
Step-by-step explanation:
To answer this question, you need to know two things:
1) the direction of vector v
2) the magnitude of vector u
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<u>direction of v</u>
A direction is specified by a "unit vector", one with the proper ratio of components, and a magnitude of 1. It is found from a given vector by dividing that vector by its magnitude.
The unit vector in the v direction is ...
v/|v| = (-2i +3k)/(√((-2)² +3²) = (-2i +3k)/√13
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<u>magnitude of u</u>
The magnitude of vector u is ...
|u| = √(5² +(-2)² +3²) = √38
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Then the desired vector is ...
(2|u|)(v/|v|) = 2√38(-2i+3k)/√13 = (-4√494)/13i +(6√494)/13k
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<em>Additional comment</em>
We have chosen to "rationalize the denominator" by writing √(38/13) as (√494)/13.
Answer:²
V = (1/3)s³
Step-by-step explanation:
The area of a square base with side length s is A = s². The volume of this pyramid is thus V = (1/3)s²h, where h represents the height. We are told that the height is equal to s. Thus, V = (1/3)s³. This matches Answer C.
Note: when possible answer choices are given to you, please share them. Also, please enclose fractions inside parentheses to eliminate ambiguity.
Answer:
x = 8
Step-by-step explanation:
-10x+6=-74
-10x=-74-6
-10x=-80
x=-80/-10
x=8
Given:
Babysitting =$11/hours
Tutoring=$17/hours
Total work hours is=12 hours
Minimum many earn=$150
Work 2 houre for babysitting
so money earn is:
Earn amount is $ 22
then required amount is:
so tutoring time for reuired amount is:
so 7.52 hours is tutoring time and 2 hours babysitting then it 9.52 hours achieved minimum earn amount
so minimum hours for tutoring is 7.52 hours.
