H = 2sqrt2
D = 6sqrt3
In a 45,45,90 triangle the hypotenuse is (x)sqrt2 while the side lengths are equivalent being a single value x. Therefore, when given the hypotenuse and solving for the leg, divide 4 by sqrt2 to get 4sqrt2/2 which simplifies to 2sqrt2 when the denominator and numerator cancel.
In a 30,60,90 triangle the short leg x is across from the 30 degree angle meaning the angle across from the 60 degree angle is x times the sqrt of 3. Therefore the long leg is 6sqrt3
I think b I might be wrong
I would say about 189 people. I found the percentage of 8 out of 11, which I rounded to the nearest tenth and got 73%. Since that is how much do carry brief cases, I took 100-73 and got 23% for those who don’t carry briefcases. Then I found 23% of 700, which is 189. So, 189 out of 700 people do not carry briefcases.
Answer: oop
Step-by-step explanation:
Let X = smaller number
Let Y = larger number
Sum of numbers is 130 ==> X + Y = 130 ==> Y = 130 - X
4 times the smaller subtracted from the larger is 10 ==>
Y - 4*X = 10
Substitute the value for Y in to the 2nd equation
(130 - X) - 4*X = 10
130 - 5*X = 10
-5*X = -120
X = 24
Y = 130 - 24 = 106
Check: 24 + 106 = 130
106 - 4*24 = 106 - 96 = 10
6. 6. 6
18. 9. 18
30. 12. 30
12x-6 and 6(2x-1) are equal