The answer is 0.690129 hope this helps:)
Answer:
180 sq.cm
Step-by-step explanation:
A = 10 x 10 + 16 x 5 x 1/2 x 2
A = 100 + 16 x 5
A = 100 + 80
A = 180 square cm
Hope that helps!
Answer:
6 different primes.
3, 7, 13, 29, 31 , 89.
Step-by-step explanation:
Try dividing by primes starting with 3:
3 ) 65529009
3 ) 21843003
7) 7281001
13) 1040143
29) 80011
31 ( 2759
89. 89 is a prime number.
Answer:
8
Step-by-step explanation:
100 = x^2 + AC^2
17^2 = AC^2 + (21 - x)^2
289 = AC^2 + 21^2 + x^2 - 2*21*x
289 =<u> AC^2</u> + 441 +<u> x^2</u> - 42x
from 1st equation AC^2 + x^2 = 100
289 = 441 + 100 - 42x
289 = 541 - 42x
42x = 541 - 289 = 252
x = 252/42 = 6
so AC^2 = 100 - 6^2 = 100 - 36 = 64
AC = 8
By taking the quotients between the areas, we see that:
<h3>
How to find the probabilities?</h3>
First we need to find the areas of the 3 shapes.
For the triangle, the area is:
T = 3*5/2 = 7.5
For the blue square, the area is:
S = 3*3 = 9
For the rectangle, the area is:
R = 10*6 = 60
Now, what is the probability that a random point lies on the triangle or in the square?
It is equal to the quotient between the areas of the two shapes and the total area of the rectangle, this is:
P= (7.5 + 9)/60 = 0.275
b) The area of the rectangle that is not the square is:
A = 60 - 9 = 51
Then the probability of not landing on the square is:
P' = 51/60 = 0.85
If you want to learn more about probability:
brainly.com/question/25870256
#SPJ1
