Answer:
Around 5.5 square meters
Step-by-step explanation:
You can start by finding the area of the segment. Since the rest of the circle that is not in the segment is 240 degrees, the segment is 120 degrees or a third of the circle. You can therefore find the area of that segment with the formula
square meters. Now, you need to find the area of the triangle inside the sector. This is more difficult than last time, because it is not a 90 degree angle. However, you can solve this by dividing this triangle into two 30-60-90 triangles, which you know how to find the ratio of sides for. In a 30-60-90 triangle, the hypotenuse is twice the length of the smallest leg, and the larger leg is
times larger than the smaller leg. In this case, these dimensions are a base of
for the smaller leg and
for the larger leg, or the base. Using the triangle area formula and multiplying by 2 (because remember, we divided the big triangle in half), you get
square meters. Subtracting this from the area of the segment, you get about 5.5 square meters. Hope this helps!
Answer:
To kilos? About 132.2. To dollars? Google the exchange.
3/(x+2) = 2/x
multiply both fractions by x(x+2) to cancel out the bottoms
so it becomes 3x = 2x+4
ow subtract 2X from both sides and you get
x = 4
so it took Juan 4 hours
it took Yumi 2 hours more so 4+2 = 6 hours
Kate can travel 41.33 miles without exceeding her limit. This problem can be solved by using y = 2.25x + 7 linear equation with the "y" variable as the total cost that Kate must pay after she has traveled with the cab and the "x" variable as Kate's traveling distance. The equation has 7 for its constant value which is the $7 flat rate. We will find 41.33 miles as the traveling distance if we substituted the total cost with 100, which is the maximum amount that can be paid by Kate for the traveling purpose.
Answer:
<u>Commutative property:</u> states that the order in which we multiply numbers does not change the product.
<u>Associative property:</u> states that you can add or multiply regardless of how the numbers are grouped (aka parenthesis).
<u />