Answer:
-3/2
Step-by-step explanation:
Here we have an ambiguous notation. Hence, I assume you mean (-12/((3 x (-8+ (-4)^2 -6) +2), which is the one that makes more sense.
First, we work the arithmetic on the denominator (D).
D= 3 x (-8 + (-4)^2 - 6) + 2
D=3 x (-8 + (-4) x (-4) -6) + 2
D= 3x (-8 +16 -6) + 2
D= 3 x (2) + 2=6 + 2=8
Now, we just have to divide -12 by D to obtain the answer.
-12/D = -12/8 =(-2 x 2 x 3)/(2 x 2 x 2) = -3/2
Answer:
The proof is explained below.
Step-by-step explanation:
Given ∠AEB=45° and also ∠AEC is right angle i.e ∠AEC=90°
we have to prove that EB is the angle bisector.
In the right angled triangle AEC,
∠AEC=90° and also ∠AEB=45°
∵ ∠AEB+∠BEC=∠AEC
⇒ 45° + ∠BEC = 90°
By subtraction property of equality
∠BEC = 45°
Hence, ∠AEB = ∠BEC = 45°
The angle ∠AEB equally divides by the line segment EB therefore, the line segment EB is the angle bisector of angle ∠AEB.
Answer:
The total number of whole cups that we can fit in the dispenser is 25
Step-by-step explanation:
It is given that the height of each cup is 20 cm.
But when we stack them one on top of the other, they only add a height of 0.8 to the stack.
The stack of cups has to be put in a dispenser of height 30 cm.
So we need o find out how many cups can fit in the dispenser.
Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser
So,
30 - 20 = 10 cm
To stack the other cups we have 10 cm of height remaining
As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.
10 + 0.8x = 30
0.8x = 20
x = 25
The total number of cups that we can fit in dispenser is 25
- 23 and - 24
note that negative numbers are smaller than positive numbers.
The 2 negative numbers in the list are - 23 and - 24
and their sum = - 23 + (- 24 ) = - 23 - 24 = - 47
The equation is 3n - 5 1/2. 5 1/2 = 5.5
3n - 5.5
n could equal 1 so, 3 x 1 - 5.5 = -2.5
3n - 5 1/2 = -2.5
