Answer:
True False True
Step-by-step explanation:
1. A circle has 360 degrees in its interior. 360 - 130 (this is given) degrees = 230 degrees. This means it's TRUE
2. The area of the shaded sector is the degrees in the central angle that contains the sector, multiplied by the area of the circle. This means that the area is pi*r^2*angle. The radius is 10, and the angle is 230 degrees, so the answer is 100*230/360 pi = 23000/360 pi, which simplifies to 575/9 pi. This is FALSE.
3. The area of the shaded sector is area of the circle - area of the shaded sector. The area of the circle is pi r^2, which is 100 pi. 100 pi - 575/9 pi = 325pi/9, so this is TRUE
Hi there
To find The interest rate the formula is
R=I÷pt
r interest rate?
I interest earned 622.5
P principle 12450
T time 1 year
So
R=622.5÷(12,450×1)
R=0.05×100=5%
Hope it helps
Answer:
the solution is (-1/2, 6).
Step-by-step explanation:
Next time, please share the instructions.
Start by carrying out the indicated multiplication:
2x + 2y = 23 - 2y
Consolidate l ike terms: combine 2y and -2y: result: +4y on the left side:
2x + 4y = 23
Let's solve this system using elimination by substitution. Multiply 2x + 4y = 23 by -3 to obtain a -6x term:
-3(2x + 4y = 23) = -6x - 12y = -69. Now combine this result with the second equation:
-6x - 12y = -69
6x + 5y = 20 + 7
-------------------------
- 7y = -42
Dividing both sides by -7, we get y = 6. Subbing 6 for y in the 2nd equation, we get:
6x = 27 -5(6), or
6x = 27 - 30 = -3
Then x = -3/6, or x = -1/2
and the solution is (-1/2, 6).
Answer:
The statement is incorrect because an inverse relationship between y and x would imply that the graph would be a downward curved graph whose slope changes rather than linear which has constant slope (see image).
Best to express this situation as:
There is a linear relationship between y and x with a negative constant slope. The keyword here is constant since the slope is the same in a linear relationship
Step-by-step explanation:
An inverse relationship exists between y and x when y is proportional to the reciprocal of y
This would be expressed in the form 
∝ 
As x decreases , y increases or vice-versa. It is often expressed in equation form as 
or 
where k is a constant and whose graph is curved in nature. The slope is changing for the range of x values not constant as would be the case for a linear graph
All we can say about the data is that there is a linear relationship between y and x with a negative constant slope
The first thing you should do in this case is to represent the distance of "the monster Zip line" by a function.
The function for this case is:
D = 120h
Where,
D: distance in kilometers.
h: time in hour.
Substituting the values we have:
D = 120 * (0.25) = 30 Km
answer:
You could travel on the Monster Zip line 30 Km in 0.25 hours
