The area of any triangle is (1/2) x (length of the base) x (height) .
In this problem, we know the triangle's height,
but what is the length of the base ?
The base is the side that the triangle is sitting on. This particular triangle
is an equilateral one, and its perimeter is 60m. So each side must be 20m.
No matter which side the triangle is sitting on, the length of the base is 20m.
Area = (1/2) x (base) x (height)
Area = (1/2) x (20m) x (17.3m) = <em>173 m²</em>
Answer:
The answer is false
Step-by-step explanation:
the greater the risk of given investment measured by its standard deviation is false.
The key is Esther travelled the same distance - x - in both her morning and evening commute.
45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x
Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.
Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.
Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.
45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.
<span>Hope that makes a little sense. And I also hope it's right</span>
Answer:

Step-by-step explanation:
we know that
The perimeter of quadrilateral PQRS is equal to the sum of its four length sides
the formula to calculate the distance between two points is equal to

we have
the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3)
step 1
Find the distance PQ
P(2,4), Q(2,3)
substitute in the formula




step 2
Find the distance QR
Q(2,3), R(-2,-2)
substitute in the formula



step 3
Find the distance RS
R(-2,-2), and S(-2,3)
substitute in the formula



step 4
Find the distance PS
P(2,4), S(-2,3)
substitute in the formula



step 5
Find the perimeter

substitute the values



Answer:
You can use graphing to determing whether (5, 2) is a solution to the system of inequalities by creating a line going from the origin (0,0) and bring the line to (5, 2). Using this, you can find the x & y intercept, slope, etc.
Step-by-step explanation: