The ratio of sides for a 30 : 60 : 90 = 1 : √3 :2.
Note the 90 degrees represent the hypotenuse, which in this case is 30 inches.
<span>1 : √3 :2 = x : y : 30
</span>
To get 1, on the left side, we simply divide 2 by 2
Similarly x = 30/2 = 15.
To get √3, on the left side, we simply multiply 1 by √3
Similarly y = 15 * √3 = 15√3
<span>Therefore the length and width respectively are </span>15 and 15√3 inches<span> </span>
Answer:
80/81
Step-by-step explanation:
If a head is twice as likely to occur as a tail, then the probability of getting heads is 2/3 and the probability of getting tails is 1/3.
The probability of getting at least 1 head involves 4 scenarios:
1) 1 Head and 3 Tails
2) 2 Heads and 2 Tails
3) 3 Heads and 1 Tail
4) 4 Heads
Instead of calculate all these scenarios, you could calculate the opposite scenario: 4 Tails. The sum of all possible scenarios is 1, so:
P(at least one head) + P(no heads) = 1
Then, P(at least one head) = 1 - P(no heads)
The probability of 4 tails is:
P(no heads) = P(TTTT) = (1/3)(1/3)(1/3)(1/3)=1/81
Then, P(at least one head) = 1 - 1/81=80/81
Answer:
<em>255</em>
Step-by-step explanation:
(2+2+3+10) × (8+9+-9+7)
First, remove the brackets:
2 + 2 + 3 + 10 × 8 + 9 + -9 + 7
Now calculate like so:
2 + 2 + 3 + 10 = <em>17</em>
8 + 9 + -9 + 7 = <em>15</em>
<em>(</em><em>17</em><em>)</em><em> </em><em>×</em><em> </em><em>(</em><em>15</em><em>)</em><em> </em><em>=</em><em> </em><em>17</em><em> </em><em>×</em><em> </em><em>15</em><em> </em><em>=</em><em> </em><em>255</em>
<em>PLEASE</em><em> </em><em>DO</em><em> </em><em>MARK</em><em> </em><em>ME</em><em> </em><em>AS</em><em> </em><em>BRAINLIEST UWU</em><em> </em>
Answer:
1. x= 3y+6/2
y=2/3x-2
2.x=−y+3
y=−x+3
Step-by-step explanation:
1. Let's solve for x.
y=2/3x-2
Step 1: Flip the equation.
2/3x-2=y
Step 2: Add 2 to both sides.
2/3x-2+2=y+2
2/3x=y+2
Step 3: Divide both sides by 2/3.
2/3x/2/3=y+2/2/3
x= 3y+6/2
Let's solve for y.
y=2/3x-2
2. Let's solve for x.
y=−x+3
Step 1: Flip the equation.
−x+3=y
Step 2: Add -3 to both sides.
−x+3+−3=y+−3
−x=y−3
Step 3: Divide both sides by -1.
-x/-1=y-3/-1
x=−y+3
Let's solve for y.
y=−x+3
here are two graphs if you need a better explanation
HOPE THIS HELPS
1- is they have distinct values
2- variables referring to x or y
hope this helps you out.
