Answer:
D) -1.8, -1 1/2 , 0.3 , 3/4 , 1
Step-by-step explanation:
Change all of the given terms to either fractions or decimals. Generally decimals are easier:
3/4 = 0.75
-1.8 = -1.8
1 = 1.0
-1 1/2 = -1.5
0.3 = 0.3
Order from least to greatest:
-1.8 , -1.5, 0.3 , 0.75 , 1.0
or
-1.8, -1 1/2 , 0.3 , 3/4 , 1
~
19/20 in simplest form is 0.95
9/16 in simplest form is 0.5625
Answer:
14)
21√2
15)
Leg: 7√3
Hypotenuse: 14
Step-by-step explanation:
The hypotenuse is √2 as long as each leg. That means the leg is 42/√2. Simplified to make 21√2.
The hypotenuse is always twice as long as the shortest leg on a 30-60-90 triangle. The longer leg is √3 as long as the shortest side.
Answer:
The sum of reciprocals is 2/3.
You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.
Step-by-step explanation:
a+b = 2
a*b = 3
1/a + 1/b = x
(a*b)*(1/a + 1/b) = (a*b)x
b + a = (a*b)(x)
2 = 3x
x = 2/3
b = 2 - a
a*(2 - a) = 3
-a^2 + 2a = 3
-a^2 + 2a - 3 = 0
a^2 - 2a + 3 = 0
let's solve the quadratic equation
a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0
(a - 1)^2 = -2
these options correspond to a and b from the original question.
Answer:
Age of Mel is 25 years.
Step-by-step explanation:
It is given that,the sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age.
Let 'x' be the Ali's age and 'y' be the Mel's age
<u>To find the value of x and y</u>
sum of Ali and Mel's age is 39
⇒ x + y = 39 ------(1)
Mel is 3 years younger than twice Ali's age
⇒ y = 2x - 3 -------(2)
⇒ 2x - y = 3 -----(3)
(1) + (3) ⇒
x + y = 39
2x - y = 3
----------------
3x = 42
x = 42/3 = 14
y = 2x - 3 = 14*2 - 3 = 25
Therefore the age of Ali = 14
Age of Mel = 25
