<span>Perimeter of a rectangle: 2(l + w)
</span>
2(l + w) ≥ 30 in
<span>
Simplify- divide both sides by 2.
l + w ≥ 15 in
Substitute (w + 3) into l so only 1 variable is used.
(w + 3) + w ≥ 15 in
Simplify further- add variables and subtract 3 from both sides.
2w ≥ 12 in
Divide both sides by 2.
w ≥ 6 in
Answer: D</span>
The missing side length is c = 25 units.
Step-by-step explanation:
Step 1:
The given triangle has a 24 unit long adjacent side and a 7 unit long opposite side.
As we have two sides of the triangle, we can solve for the length of the other side by using Pythagoras' theorem.
The length of the hypotenuse is given as c units.
Step 2:
According to Pythagoras theorem,
So the missing length, c of the given triangle is 25 units.
Answer:
The answer is A
Step-by-step explanation:
Let the slower runners speed be X kilometers per hour.
Then the faster runners speed would be X+2 kilometers per hour.
The formula for distance is Speed times time.
The distance is given as 30 kilometers and time is given as 3 hours.
Since there are two runners you need to add the both of them together.
The equation becomes 30 = 3x + 3(x+2)
Now solve for x:
30 = 3x + 3(x+2)
Simplify:
30 = 3x + 3x +6
30 = 6x + 6
Subtract 6 from each side:
24 = 6x
Divide both sides by 6:
x = 24/6
x = 4
The slower runner ran at 4 kilometers per hour.
The faster runner ran at 4+2 = 6 kilometers per hour.
Hello 16,700 is left over
