<h2>Steps</h2>
So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:
From here we can solve for x. Firstly, divide both sides by √2.
Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:
Next, divide:
<h2>Answer</h2>
<u>In short, the length of one leg of the triangle is 9√2 cm.</u>
There were 340,000 cattle placed on feed
How many of the 340,000 cattle placed on feed were between 700 and 799 pounds?
Given the fraction of total cattle for 700 - 799 pounds is 2/5
Let x be the number of cattle between 700 - 799 pounds
We make a proportion using the fraction
Cross multiply it and solve for x
340000* 2 = 5x
680000 = 5x
Divide by 5 on both sides
So x= 136,000
There were 136,000 cattle between 700 and 799 pounds
Answer: C. He used too few trials for the sample space.
Step-by-step explanation:
Given: Josh used a standard deck of 52 cards to conduct an experiment.
As half of the cards in the deck were red.
If we take sample space= 52 cards
Then probability of getting a red card
But Josh took 8 cards as sample space which is not enough for the sample space.
therefore, C. is the right answer. "He used too few trials for the sample space."
Each angle has a sin, cos, and tan associated with it.
in a right angled triangle there are two other angles which each have ratios.
Given:
Amount in the bank account = $1850
Monthly payment of can loan = $400.73
To find:
When would automatic payments make the value of the account zero?
Solution:
Craig stops making deposits to that account. So, amount $1850 in the bank account is used to make monthly payment of can loan.
On dividing the amount by monthly payment, we get
It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.
Therefore, the 5th automatic payments make the value of the account zero.
