Answer:

Step-by-step explanation:
Given


Required:
Calculate the angle between u and v
The angle
is calculated as thus:

For a vector


becomes




For a vector


So;






So:






Take arccos of both sides





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<em> (approximated)</em>
100 + 8d = 300; d = 25; The kitten will triple its weight in 25 days
Answer:
x^2+x+1
Step-by-step explanation:
Your welcomeeee
We know that
[the length of a circumference]=2*pi*r
for r= 4 units
[the length of a circumference]=2*pi*4--------------> 25.12 units
if a full circle (360°) has a length---------------------> 25.12 units
arc for an angle of 72 °---------------------------> X
X=72*25.12/360------------> 5.024 units
the answer is
<span>the length of the subtending arc for an angle of 72</span>° is 5.024 units
Answer:
The car uses less gas
They use the same amount of gas after
miles
Step-by-step explanation:
Given
The table represents the car mileage
--- The van
First, calculate the car's slope (m)

From the table, we have:

So, we have:



Calculate the equation using:



implies that for every mile traveled, the car uses 1/40 gallon of gas
Also:
--- The van
By comparison to: 

This implies that for every mile traveled, the van uses 1/5 gallon of gas.
By comparison:

This means that the car uses less gas
Solving (b): Distance traveled for them to use the same amount of gas.
We have:
--- The van
--- The car
Equate both

Collect like terms


Take LCM


Solve for -7x

Solve for x
