Answer:
x ≤ - 27
Step-by-step explanation:
The order of arithmetic operations is given by the acronym PEMDAS, which means
Parentheses,
Exponents,
Multiplication,
Division,
Addition,
Subtraction.
These two examples illustrate how the use of parentheses can change the order.
Example 1:
5+7/3x4-2/5 has an answer of 13.933.
Use PEMDAS to obtain
5+(7/3)x4-(2/5)
= 5+(2.3333x4)-0.4
= 5+9.3333-0.4
= 14.3333-0.4
= 13.933
If we apply the parentheses: (5+7)/3x4-2/5
The result is
(12/3)x4-(2/5)
= (4x4)-0.4
= 16-0.4
= 15.06
which is a different answer.
Example 2:
8/3²x5+4 has the answer 8.444
Use PEMDAS to obtain
8/(3²)x5+4
= (8/9)x5+4
= (0.8889x5)+4
= 4.4444+4
= 8.4444
If we apply the parentheses (8/3)²x5+4:
The result is
2.6667²x5+4
= 7.1113x5+4
= 35.5565+4
= 39.5565
which is a different answer.
Each die has six numbers, the total number of possible combinations is 6 * 6 = 36
The combinations in which you can get a sum of 5 are: 1 &4, 2 & 3, 4 &1, 3 &2
There are 4 different combinations of getting a sum of 5.
The probability would be 4/36, which reduces to 1/9
Answer:
117 
Step-by-step explanation:
First think of the square that was removed. All 4 sides are equal but you don't know the length so lets gives them the variable X.
So to find the area of the rectangle, insert those variables into the area equation for a rectangle.
(RV + (X) ) (PT +(X)) = rectangle area
Now you are given what the area is if you remove the square. So subtract the the square's area from the equation above and set it equal to the size they told you.
(RV + (X)) (PT + (X)) - [(X)(X)] = 92
rectangle - square = remaining area
Now plug in the numbers you know and solve for X.
(8 + X) (4 + X) - ((X)(X)) = 92
Use FOIL to multiply the first part of the equation (first, outer, inner, last)
32 + 8x + 4x + 
- = 92
32 + 12x = 92
12x = 60
x = 5
So now you know the size of the square. Each side is 5m. So add 5m onto the top of the rectangle and onto the side. The top is 13m and the side is 9m. The area of the rectangle is the length times the height to 13 x 9 which is 117
Answer:
BAC=BDC(BDX)=30°
Step-by-step explanation:
We know that BD=OD.
But OD=OB= Radius of the circle.
Therefore
BD=OD=OB
BDO is equilateral triangle.
Angle DBO= 60°
Now let us take the intersecting point of CD and AB as X.
In triangle BDX,
BXD= 90°(BXD+BXC=180°, BXD+90°=180°, BXD=90°)
BXD+DBX+BDX=180°{Angle Sum Property}
90°+60°+BDX= 180°
BDX= 30°
We also know that,
BDC(BDX)= BAC (Angles lie on the same arc{BC} are equal in measure.
Therefore,
BAC=BDC(BDX)=30°
