If she can ride her bike 3 miles in 24 minutes how far can she ride her bike in 72minutes. So, if we find out how many times 24 goes into 72 (by dividing it) then times the answer by 3 because that’s how many miles she can do in 24 min. That will give you the answer e.g
Sally can ride her bike 4 miles in 12 minutes so how far can she ride her bike in 24 minutes. You do:
_2_. 2x 4 = 8 so she would be able to
12) 24. Do 8 miles I. 24 minutes.
We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°
Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2
the answer part a) is
sin(2π/3)=√3/2
Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2
the answer part b) is
cos (2π/3)=-1/2
Answer:
![Budget = 3 b](https://tex.z-dn.net/?f=Budget%20%3D%203%20b)
Step-by-step explanation:
Given
![Budget = \$30](https://tex.z-dn.net/?f=Budget%20%3D%20%5C%2430)
![Cost\ of\ box (b) = \$10](https://tex.z-dn.net/?f=Cost%5C%20of%5C%20box%20%28b%29%20%3D%20%5C%2410)
Required
Represent as an equation;
![Budget = \$30](https://tex.z-dn.net/?f=Budget%20%3D%20%5C%2430)
Expand the above
![Budget = 3 * \$10](https://tex.z-dn.net/?f=Budget%20%3D%203%20%2A%20%5C%2410)
<em>Recall that b = $10 ----given</em>
becomes
![Budget = 3 * b](https://tex.z-dn.net/?f=Budget%20%3D%203%20%2A%20b)
![Budget = 3 b](https://tex.z-dn.net/?f=Budget%20%3D%203%20b)
Answer:
6 units
Step-by-step explanation:
Just count
Answer:
$16.03
Step-by-step explanation: