Answer:
convert the task into ratios
(1) if $24 = 4 walks
how many $ for a walk
= (24/4) $/walk
= $6 per walk
•the first one is correct
•the second is wrong, cause it interprete $12/3 walks, which is rationalized to $3 per walk
•the third one is correct, cause it can also be rationalized ($30/5walks) to $6 per walk.
also, rationalizing this would equate to 3 miles per hour (6miles/2hrs)
• one is wrong cause it's 4 miles per hour
•two is correct, it's saying 3 miles per hour (12/4)
• third, likewise is correct 3 miles per hour (9/3) miles/hrs
Answer:
Side lengths = 1.68 ft and width = 3.36 ft.
Step-by-step explanation:
Let the side lengths of the window be L and the width = 2r ( r is also the radius of the semi-circle).
So we have
Perimeter = 2L + 2r + πr = 12
Area = 2rL + 0.5πr^2
From the first equation
2L = 12 - 2r - πr
Substitute for 2L in the equation for the area:
A = r(12 - 2r - πr) + 0.5πr^2
A = 12r - 2r^2 - πr^2 + 0.5πr^2
A = 12r - 2r^2 - 0.5πr^2
We need to find r for the maximum area:
Finding the derivative and equating to zero:
A' = 12 - 4r - πr = 0=
4r + πr = 12
r = 12 / ( 4 + π)
r = 1.68 ft.
So the width of the window = 2 * 1.68 = 3.36 ft.
Now 2L = 12 - 2r - πr
= 12 - 2*1.68 - 1.68π
= 3.36
L = 1.68.
Answer:
Step-by-step explanation:
The tangent is the Opposite over the Adjacent sides. (SOHCAH<u>TOA</u>).
Opposite/Adjacent = 4/9 = 0.44444
The angle whose tangent is 0.44444 is 23.96 or 24 degrees (round to nearest tenth).
Hello,
cos 160°=-q
cos 20°=-cos 160°=q
sin 20°=√(1-q²)=sin 160°
tan -20°=tan 160=√(1-q²)/-q
cos 70°=sin 20°=√(1-q²)
Answer:
29/35
Step-by-step explanation:
