Answer:
large triangle:
base = 6.64 cm
hypotenuse = 8.31 cm
small triangle:
base = 4 cm
Step-by-step explanation:
large triangle:
tan 37 = 5/base
0.7536 = 5/base
base = 6.64 cm
using the Pythagorean theorem:
hypotenuse² = 5² + 6.64²
hypotenuse² = 25 = 44.02 = 69.02
hypotenuse = 8.31 cm
small triangle:
using the Pythagorean theorem:
base² = 5² - 3²
base² = 25 - 9 = 16
base = 4 cm
Answer:
P( top two horses are predicted incorrectly in incorrect order)
= ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
In the horse race the outcome can be predicted in 5! = 120 ways.
Now suppose the top two horses were predicted incorrectly in incorrect order. Now, the top horse can be predicted incorrectly in 4 ways.
Suppose the top horse was predicted to be in k-th position where k = 2, 3 ,4,5
so the second horse can be predicted to be in place from 1 to (k - 1)
So, the top two horses can be predicted incorrectly in incorrect order
in
= 10 ways
and for each prediction of the two the remaining horses may be predicted in 3! = 6 ways.
Hence ,
P( top two horses are predicted incorrectly in incorrect order)
= ![\frac{6 \times 10}{120}](https://tex.z-dn.net/?f=%5Cfrac%7B6%20%5Ctimes%2010%7D%7B120%7D)
=![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Answer:
y = -5
Step-by-step explanation:
yeah-ya....... right?
Answer:
B) Aluminum and steel are good conductors of electricity.
Step-by-step explanation:
Answer:
- 13.077
Step-by-step explanation:
Here we have to calculate the square root of a certain number using the help of the calculator or a square root table.
The given expression is
.
Now, using calculator
Now,
So, approximate value to the nearest thousandth is - 13.077 ( Answer )