Answer:
Explanation: As you make the segments smaller and smaller, the parallelogram becomes more of a rectangle with shorter side equal to the radius of the circle r and longer side πr - half of the circumference of the circle. Hence we get the formula πr2 for the area of a circle of radius r .
Step-by-step explanation:
112 is 80% of 140.
80% can be written as 0.80 or 0.8.
how i got 140 is by finding the x value of this equation: 0.8x=112
to find the x, i divided 0.8 from both sides,
0.8 divided by 0.8 cancel out.
112 divided by 0.8 is 140.
therefore, 112 is 80% of 140
Answer:
During the interval 0 < x < 2, height of the water balloon is increasing.
Step-by-step explanation:
Graph of the linear function represents the height f(x) of a balloon over the time 'x' seconds.
There are three intervals of the time in which height of the balloon has been given.
1). In the interval of 0 < x ≤ 2, height of the water balloon is increasing (Since slope of the line is positive or the line is slanting upwards).
2). In the interval 2 < x ≤ 3, height of the water balloon is constant (Since slope of the line is zero).
3). In the interval 3 < x ≤ 4, height of the water balloon is decreasing faster. (Since the given line is slanting downwards).
4). In the interval 4 < x < 6, height of the water balloon is decreasing (Since the given line in this interval is slanting downwards).
Therefore, during 0 < x < 2, height of the water balloon is increasing.
Answer:
1. two square root of ten
Step-by-step explanation:
Given expression is:
![\[\sqrt{5}* \sqrt{8}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B5%7D%2A%20%5Csqrt%7B8%7D%5C%5D)
Simplifying the expression:
![\[\sqrt{5}* \sqrt{4 \ast 2}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B5%7D%2A%20%5Csqrt%7B4%20%5Cast%202%7D%5C%5D)
= ![\[\sqrt{5}* \sqrt{4}*\sqrt{2}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B5%7D%2A%20%5Csqrt%7B4%7D%2A%5Csqrt%7B2%7D%5C%5D)
= ![\[\sqrt{5}* 2*\sqrt{2}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B5%7D%2A%202%2A%5Csqrt%7B2%7D%5C%5D)
= ![\[2 * \sqrt{5} * \sqrt{2}\]](https://tex.z-dn.net/?f=%5C%5B2%20%2A%20%5Csqrt%7B5%7D%20%2A%20%5Csqrt%7B2%7D%5C%5D)
= ![\[2 * \sqrt{10}\]](https://tex.z-dn.net/?f=%5C%5B2%20%2A%20%5Csqrt%7B10%7D%5C%5D)
So among the given options, option 1 is the correct one,namely, two square root of ten.
Answer:
r = -3
Step-by-step explanation:
- 60= - 24 + 12r
Add 24 to each side
- 60+24= - 24+24 + 12r
-36 = 12r
Divide each side by 12
-36/12 = 12r/12
-3 =r