Answer:
example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.
Step-by-step explanation:
Answer:
Step-by-step explanation:
For every 33 green triangles, we have 77 yellow triangles.
So using the original ratio 33:77 we can simplify this by dividing both sides by 11 so that we get the ratio 3:7 so for every 3 green triangles we have 7 yellow triangles.
Answer:
Dimensions of rectangle:
Length =6 yards
Width=3 1/3 yards
Area of right triangle = 10 yd^2
Step-by-step explanation:
The right triangle has base as 6 yards and height as 3 1/3 of yards.
When we match this triangle with another right triangle to make the rectangle is another right triangle with sides 6 yards and 3 1/3 yards.
I'll upload the file for work.
Given:
t1 = 3.6 h
t2 = 4.5 h
x = speed of boat
y = speed of water
Required:
a) Expression of distance traveled with moving water with 3.6h
Expression of distance traveled with moving water with 4.5h
b) Solve for y
c) Percent of boat's speed is the water current
Solution:
Working formula: distance = velocity*time
a) For travelling downstream, we get the equation
d = (x +y)*3.6
For travelling upstream, we get the equation
d = (x-y)*4.5
b) Setting the distance as equal for travelling upstream or downstream, we arrive at the equation of
(x+y)*3.6 = (x-y)*4.5
3.6x + 3.6y = 4.5x - 4.5y
8.1y =0.9x
y = x/9
c) percentage = 1/9*100% = 11.1%
<em>ANSWERS: a) d = (x+y)*36; d = (x-y)*4.5
</em> <em>b) y = x/9
</em> <em>c) 11.1%</em>
