Answer:
14y-4
Step-by-step explanation:
Distribute 2 to both the left and right side.
Combine like terms.
14y-4
Answer:
The Answer is that there is less than 50 Liters of sauce in the 2 cans.
Step-by-step explanation:
Given: 2 Gallons of sauce
How many Liters in 2 gallons?
There are 3.7854 liters per gallon. Multiply to get the total liters in 2 gallons:
2 * 3.7854 = 7.5708 Liters.
7.5708 is less than 50 Liters. Therefore, there is less than 50 Liters in the 2 gallons of sauce.
Hope this helps!! Have an Awesome day!!! :-)
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: Assuming the riders starts at the position (20, 0) on the x-axis, the exact position of the rider will be (20cos75, 20sin75) or about (5.18, 19.32).
The angle for 5pi/12 radians is 75 degrees. Therefore, to find the position we can use the sine and cosine of 75 to find the x and y value of the coordinate.
For the y-value, we can write and solve:
sin75 = x/20
For the x-value, we can write and solve:
cos75 = x/20