Use trigonometry.
cos(18°) = x/25
Multiply both sides by 25.
cos(18°)25 = x
23.7764129074 = x
We round off to the nearest hundredth. This means to round off to two decimal places.
Doing so, we get 23,78 cm = x.
Answer:
247 blown up balloon left
Step-by-step explanation:
5 bags of round balloon with 24 balloon in each bag =
= 5 x 24 = 120 round balloons
3 bags of long balloon with 36 balloon in each bag =
= 3 x 36 = 108 long balloons
Part 1 Answer
120 round balloons - 108 long balloon = 12 balloons
therefore the clown bought 12 more round balloon than long balloon
Part 2
3 bags of heart-shaped balloons with 14 balloons in each bag =
= 3 x 14= 42 heart-shaped balloons
All the balloons were blown which equals
120 round balloons + 108 long balloons + 42 heart-shaped balloons =
= 270 balloons
23 balloons out of the 270 balloons burst which equals
270 blown balloon - 23 burst balloon = 247 blown-up balloons left
so,
247 blown-up balloons were left
1.) about 154 months
2.) about 30 months
3.) about 75 months
4.) about 100 months
Answer:
The probability that in his next 5 back flips Daniel will land more than 3 of them is:
27%
Step-by-step explanation:
The outcomes that represent that he landed in his back flip more than 3 times are:
43113 43323 14221 11123 35133 15231
So, out of the total 22 trials the number of trials he will land more than 3 of them is:
6.
Let P denotes the probability of an event.
Hence,
P(He will land more than 3 times)=Number of trials in which he landed more than three times/Total number of trials.
P( He will land more than 3 times)=6/22
Hence, the percent probability is calculated as:

Hence, the probability that in his next 5 back flips Daniel will land more than 3 of them is:
27%