Answer:
84
Step-by-step explanation:
This is because of the formula for perimeter of a triangle is P= Side A+ Side B + Side C. If I just input these and do the math I get an answer
Answer:
Step-by-step explanation:
This is more of a Physics problem than just a straight "math" problem because you need to know about torque and rotational equilibrium to solve it. The formula for torque is
torque = weight * length of the lever arm in meters
Since we are given the mass of each child, we need to solve for their weights, which is found by multiplying their masses by the pull of gravity, which is 9.8 m/sec/sec. This gives the weight of the 20 kg child to be 196 Newtons, and the weight of the 30-kg child to be 294 Newtons.
If the length between the 2 children is 3.5 meters, then let's say that the distance away that the heavier child is from the fulcrum is r. That makes the distance that the lighter child is away from the fulcrum as 3.5 - r. Now we can fill in the rotational equilibrium formula that says that the sum of the torques must equal 0 if the seesaw is to remain balanced. Because one torque is positive and one is negative, we can move the negative one over to the other side of the equals sign making them equal to each other, which is what rotational equilibrium is all about. Here's our formula thus far:
196(3.5 - r) = 294r and
686 - 196r = 294r and
686 = 490r so
r = 1.4
That's the distance that the heavier child is. The lighter child, then, is 3.5 - 1.4 so that distance is 2.1 meters
If the slope is 5 so is the x’s number
ax+b=y
a=5 because of the slope
5x+b=y
Put the points 2 instead of x and -3 instead of y
10+b=-3
b is -13
so the answer is 5x-13=y
D= diameter of semicircle= 10 ft
Therefore, r= d/2 = 10/2= 5 ft. r^2= 25
And, the formula for area of a semicircle is half that of a circle so,
A/2= [(pie=3.14) x r^2] /2
= [3.14 x 25 ] /2
= 39.25 m
This is false because 3 times 3=9 and all of those are odd
odd nubmers are represented by 2n+1 where n= a natural number (whhole numbers and negatives)
so (2n+1) squared=(2n+1)(2n+1)=4n^2+4n+1
(a whole number times an even number yeilds an even number because an
even number is represented by 2n where n=a natrual number so 2n times
x=2nx which is still even.)
since n represents a whole number and a whole number times an even number (4) equals an even number, 4n^2 and 4n must be even, and even+even=even
that leavs the +1 at the end
we know that even+1=odd so therefor any odd number squared results in an odd nnumber
an example is 9, 3 times 3 or 3 squared