Answer:
Just so you hear, Whirlybot, these circle problems are always "tricks" and they are tough. You have to remember a bunch of implied things
Step-by-step explanation:
One thing to recall is that the angle from the tangent point to O at the center is also a 90° angle. so you now know, that the line from the point where the circle touches the tangent line to the center is a right angle and you have part of that 90° already. the 50 is one part and there for the next part is 40 ° Since we now know that the line from the tangent to the center is forming an internal angle with that line going to X of 40 ° we know that X is also 40 ° b/c the triangle formed by the line to the center is going to be the same length as the line from the center to the X. That's an Isosceles triangle. they have the same angles at the two same length legs.
I know, I went thur a whole pile of logic, but that's what makes this kind of problem tough. you just have to keep thinking about things you know.
X = 40 °
Answer:3 cups of seeds and 2 tablespoons of maple syrup
-OR-
6 cups of seeds and 4 tablespoons of maple syrup
Step-by-step explanation:
As this is a ratio of 9:6: "for every 9 cups of seeds, there is 6 tablespoons of maple syrup"
The original ratio is 3:2 "for every 3 cups of seeds, there is 2 tablespoons of maple syrup"
Using this ratio, we can infer that 3:2 or 6:4 would be a simpler answer for this problem. If there is doubt, it would be better to use 3:2 as it is the smallest ratio.
This isn't as hard as it looks.
The ratio is 1 to 12.
You just have to multiply the model value by 12.
12 x 5.4 = 64.8 feet. Now, the answer has to be in yards, so divide by 3.
64.8 div 3 = 21.6 feet.
Answer:
A possible initial point is (1,4) and a possible terminal point is (8,5)
Step-by-step explanation:
The given vector is 
.
We can rewrite this vector as:
The x-components is 7 and the y-component is 1.
We can choose initial point (a,b) and terminal point (c,d) in the first quadrant such that 
and 
If a=1, and b= 4, then:
and 
This implies that:
and 
Therefore a possible initial point is (1,4) and a possible terminal point is (8,5)
