Pythagoras tells us that the diagonal is √(9²+40²) = 41.
Answer C.
Answer:
the height is 5 and the base is 17.
Step-by-step explanation:
X + 1 is the height and 4x + 1 is the base, so we can substitute this into an equation:
( x + 1 ) (4x + 1) = 85
{apply the distributive law}
4x² + x + 4x + 1 =
4x² + 5x + 1 = 85
Take 85 to the other side by -85 each side:
4x² + 5x + 1 - 85 = 85 - 85
4x² + 5x - 84 = 0
{Now we have a quadratic equation}
The roots are either -5.25 or 4. X must be 4 since it must be positive as it is a side length.
Substitute x into the base and height to get the answers.
X + 1 = 4 + 1 = 5
4x + 1 = 16 + 1 = 17
Therefore the height is 5 and the base is 17.
Answer:
The Probability of exactly one tag being lost, in terms of π is 
Step-by-step explanation:
Using the tree diagram attached to the bottom of this answer, you can see that the probability of only one tag being lost is the union of the probability of the left tag being lost when the right one is not lost and the probability of the right tag being lost when the left one is not lost.
Probability of losing only the right tag:

Probabilty of losing only the left tag:

Now, to unite those two probabilities, we use basic probability properties:
∪
∩
Since the events are independent:
∩
So, the union becomes:
∪
Replacing:

Step-by-step explanation:
42 boys can count.
the probability that any pupil is a boy and can count?
0.42
Answer:
D. A Cone
Step-by-step explanation:
only because i know what mountains look like because im not retarted i-