Answer:
Arc Length = 68.7
Step-by-step explanation:
The formula that is used to find the arc length:
s = (θ/360) * 2πr
(You would get the value of θ, by subtracting 57 from 360)
(You would get r by dividing 26 by 2)
Now we can solve this;
s = (303/360) 2π(13)
s = 0.842 * 2π(13)
s = 0.842 * 0.283(13)
s = 68.7
Hope this helps!
Let the speed of the boat be x
so going against the current the speed is x-7
going with the current the speed is x+7
let the distance be d
time = distance / speed
time to go against the current = d/(x-7)
time to go with the current = d/(x+7)
time going against the current is 3 times going <span>with the current
</span>
d/(x-7) = 3d/(x+7)
⇒⇒⇒ divide by d
1/(x-7)
= 3/(x+7)
x+7
= 3(x-7)
x+7 = 3x - 21
2x = 28
x = 14
So, the speed of the boat in still water is = 14 mph
Answer:
<h2>
1,190cm²</h2>
Step-by-step explanation:
The Area of a triangle is expressed as 1/2 * base * height. If uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimetres and a height of 7 centimetres, area of the blanket will be expressed as shown;
Area of the blanget = 1/2 * 7 * 5
Area of a blanket = 35/2 = 17.5cm²
If she plans to cut out 68 triangles with these dimensions, the total area will be total number of triangles * area of one triangle i.e 68 * 17.5 = 1,190cm²
Step-by-step explanation:
In Kate's equation, 20 is the total number of tickets, 4 is number of tickets per ride, r is number of rides already ridden, and 4r is the number of tickets used
in Brian's equation, 5 is total number of rides Katie can ride and 5 - r is the number of rides left to ride