Answer:
132 cm
Step-by-step explanation:
The diameter of the circle is 42 cm. A circle's radius is half of its diameter, hence, its radius is:
42 / 2 = 21 cm
The circumference of a circle is the total length of the circle and it is given as:
![C = 2\pi r](https://tex.z-dn.net/?f=C%20%3D%202%5Cpi%20r)
where ![\pi = \frac {22} {7}](https://tex.z-dn.net/?f=%5Cpi%20%3D%20%5Cfrac%20%7B22%7D%20%7B7%7D)
r = radius of the circle
Hence, the circumference of the circle is:
![C = 2 * \pi * 21\\C = 132 cm](https://tex.z-dn.net/?f=C%20%3D%202%20%2A%20%5Cpi%20%2A%2021%5C%5CC%20%3D%20132%20cm)
The answer is -4 because -4^7=-16384
Answer:
Minutes to make one balloon sculpture = 5 minutes
Balloons are used for one balloon sculpture= 8 balloons
Tomas use balloons = 1.6 per minute
Step-by-step explanation:
a).
180 minutes = 36 sculpture
![\frac{180 }{36 } = 5](https://tex.z-dn.net/?f=%5Cfrac%7B180%20%7D%7B36%20%7D%20%3D%205)
5 minutes to make a sculpture
b).
288 balloons = 36 sculpture
![\frac{288 }{36 } = 8](https://tex.z-dn.net/?f=%5Cfrac%7B288%20%7D%7B36%20%7D%20%3D%208)
8 Balloons to make a sculpture
c).
288 Balloons = 180 minutes
![\frac{288}{180} = 1.6](https://tex.z-dn.net/?f=%5Cfrac%7B288%7D%7B180%7D%20%3D%201.6%20)
1.6 Balloons per minute
Answer:
Answer to number 3:
Yes, because these two are similar triangles for sure so all their respective angles are equal in measure, and two pairs of sides are congruent to each other, so the third one must be congruent too.
Answer:
(-1, 1)
Step-by-step explanation:
I used a graphing tool to graph the equations. When graphed, they cross at coordinate (-1, 1). Therefore, (-1, 1) is the solution.