Answer:
49
Step-by-step explanation:
The area of a shape is the amount of space it can occupy.Laura's design will be light enoughThe shape is given as a trapezium (see attachment).First, calculate the height (h) of the trapezium using the following Pythagoras theorem 52=h2+x2 Where: x=11−92=1 So, we have: 52=h2+x2 52=h2+1225=h2+1 Collect like terms h2=25−1 h2=24 Take square root sh=4.90The area of the shape is then calculated as follows: Area=12(11+9)×h Area=12(11+9)x4.90 Area=12×20×4.90 Area=10×4.90 Area=49
The area of the shape is 49 square inches.Hence, the shape will be light enough (because 49 is less than 80
Total numbers = 32
We are to select 7 numbers at a time. Selecting 7 numbers from a group of 32 is a combination problem. It is similar to making combination of 32 objects taken 7 at a time.
So total possible combinations of 7 numbers can be calculated as 32C7.
32C7 = 3365856
Only 1 combination can match the randomly selected combination.
So, the probability that he combination of 7 numbers will match the seven randomly selected balls =
Answer:
A B
Additive Identity (x) x + 0 = x
Additive Inverse (x) b + (-b) = 0
Multiplicative Identity (x) x • 1 = x
Multiplicative Inverse (x) x • (1/x) = 1
60
I hope you have a good day/night!