Answer: 26.25 in.³ or 26
in.³
Step-by-step explanation:
Multiply all three of the numbers to get the volume.
3.5 × 5 × 1.5 = 26.5 in.³
hope this helps :)
Hey there!
According to our customary units of miles, 1 mile is equal to 5,280 feet - and 3 feet is a yard. That means, we have to divide 5,280 by 3 to figure out how many yards are in a mile:
5280/3 = 1760
That means that one mile is 1760 yards. But we're not finished yet. It says 1/5 miles, not one mile. Therefore, we take one half of the total distance in yards of a mile and add it to that 1760, because it's 1.5, or 1-and-a-half. Which, in technical terms means "1-plus-a-half".
We have:
1760 + 1760/2 = 1760 + 880 = 2640
Therefore, 1/5 miles, since it's 2640 yards, is greater than the 2500 yards specified in the question.
Hope this helps!
Answer:
0.0017
Step-by-step explanation:
A percent is part of 100%. It converts to a decimal by moving the decimal point two place values to the left.
For example, 60%=0.60
For 0.17% = 0.0017
Answer:
For (a) ±<
cos
(
π
/6)
,
sin(
π
/6
)
>
=
±
<
1
/2
,
√
3
/2
> For (b)=
<
√
3
/2
,-
1
/2
> For (c) see attachment.
Step-by-step explanation:
y'atx=π/6 is 2cos(π/6)=√3.
This direction θ=ψ is given by tanψ=√3.
Inversely, ψ=tan−1√3 is π/6. For the opposite direction ,
it is π+π/6.
The unit vector in the direction θ=π/6 is
<cos(π/6),sin(π/6)>.
For the opposite direction, it is
<cos(π+π/6),sin(π+π/6)>
=<−cos(π/6),−sin(π/6)> .
For Part (b)
That is, the slope of the tangent line is √3. So
(1,√3)
gives the direction of the line and
(√3,−1)
gives the direction of the perpendicular line.
(Note that (b,−a)⊥(a,b) for any vector.)
For Part C
See the link
Answer:
The answer of the question is 4.7