Let x and y be the unknown numbers.
x + y = 5
xy = 24
x + y = 5
y = 5-x
xy = 24
x(5-x) = 24
5x - x² = 24
- x² + 5x -24 = 0
(a <u>+</u> √a² - 4b)/2
(5 <u>+</u> √5² - 4(-24))/2
(5 <u>+</u> √25 + 96)/2
(5 <u>+</u> √121)/2
(5 + 11)/2 ; (5 - 11)/2
16/2 -6/2
8 ; -3
They have just halved 48
Instead as it says they should do 2 x 48 which is 96
As there are 96 halves within 48
→ Here,
- y varies directly as x means that y = kx
- here value of (k) is not known
by substituting the values of x and y, y = 18 when x = 12
Now, substituting value of k nd x in y = kx
If a number can only be divided by 1 and itself it is prime, but if it is composite, it can be divided evenly by numbers other than 1 and itself.
63 can be divided by 3 and 21, so it is a composite number.
Answer:
a = 3,137
Step-by-step explanation:
We have to use the sin rule to solve. THis gives ratios of side and opposite side's angle's sin.
Sin rule is:
First, we know there are 180 degrees in 3 angles of a triangle, so lets find ∠A:
∠A + ∠B + ∠C = 180
∠A + 11 + 75 = 180
∠A + 86 = 180
∠A = 180 - 86
∠A = 94
Now since we know the angle B and side b pair, we can relate with a and write the sin rule as:
Now we cross multiply and solve for side a:
So last answer choice is right, a = 3137