Answer: the speed of the river is 9km/h
Step-by-step explanation:
Let x represent the speed of the river current.
He rides 140 km downstream in a river in the same time it takes to ride 35km upstream. This means that his speed was higher when riding downstream and it was lower when riding upstream.
Assuming he rode in the direction of the river current when coming downstream and rode against the current when going upstream.
time = distance/speed
Manuel has a boat that can move at a speed of 15 km/h
His downstream speed would be
15 + x
time spent coming downstream would be
140/(15 + x)
His downstream speed would be
15 - x
time spent going downstream would be
35/(15 - x)
Since the time is the same, then
140/(15 + x) = 35/(15 - x)
Crossmultiplying
140(15 - x) = 35(15 + x)
2100 - 140x = 525 + 35x
140x + 35x = 2100 - 525
175x = 1575
x = 1575/175
x = 9
Answer:
#2.
Step-by-step explanation:
Well since the triangle is right angled you know that the given angles sum to 90........(angle sum of a triangle 180, 1 angle = 90) so you can say 3x + 6 + 2x - 1 = 90 or 5x - 5 = 90 now solve for x. the smaller angle will be 2x - 1 so substitute your answer for x and you'll have the measure of the smaller angle. hope that helps
Answer:
1824
Step-by-step explanation:
32x48
1/2x12x48
add the products together
Hey there!
Firstly, we have to “add” the number “4” on each of your sides
Like: -2a -4 + 4> -8 +4
Cancel: -4 + 4 because it will give you “0”
Keep: -8+4 because it gives you “-4” and we have paid it off with -2a
Like: -2a>-4
Divide each of the sides by “-2”
Like: -2a/2 > -4/-2
Cancel: -2a/2 because it gives us “1”
Keep: -4/-2 because that’ll give us the answer on the left side of the inequality
So, a < 2 would be your answer
Good luck on your assignment and enjoy your day
~LoveYourselfFirst:)
