The length of the rug is 78mm
It gives you a few values. The values of f(t) and g(t) when time t=3, and
the values of the rates of change (first derivative) for both at the same time t=3.
f(3) = 8 unit
f ' (3) = 2 unit/s
g(3) = 3 unit
g ' (3) = 8 unit/s
--and also a value of the ratio of the two functions at t=3
Answer:
1.If you are to check the figure you will find that it is a rectangles. You should know the properties of a rectangle.
- we are goin to use the property: Each vertex of a rectangle has angle equal to 90 degrees
- meaning since m∠SUT and m∠ RUS form the vertex when added they give 90°
3x+6+(5x-4)=90°
3x+5x+6°-4°=90°
8x+2°=90°
8x=90°-2°
8x=8°

2.m ∠SUT is donated by 3x+6
and now we know the value of x=11°
m∠SUT=3(11°)+6
m∠SUT=33°+6°
m∠SUT=39°
Answer:
<C =10°
Step-by-step explanation:
The sum of angles in a triangle is 180°. Hence,
<C+<D+<E =180
Given
<C =x-4
<D = 11x-11
<E = x+13
Substitute
x-4+11x-11+x+13 = 180
13x-2 = 180
13x =180+2
13x = 182
x = 182/13
x = 14
Get <C
Since <C = x-4
<C = 14-4
<C =10°
10.
sam=(4,2)
theater=(-3,5)
11.
it has 4-(-3)=7 kilometers distance in x direction
and has 5-2=3 kilometers distance in y direction
12.
5-9=-4
so restaurant=(-3,-4)
13.
(5-(-4))/2=9/2=4.5
5-4.5=0.5
so seth=(-3,0.5)