Answer:
432 cm^2
Step-by-step explanation:
Bottom rectangle:
24 * 9.5 = 228
Top rectangle:
Just move the tiny triangle over to the right side and you have a full rectangle.
24 * 8.5 = 204
Add the area of both rectangles to get the total area.
228 + 204 = 432
The area of the whole figure is 432 cm^2
2nd one, x^2 + 8x + 4
add 2x^2-x^2, 6x+2x, -3+7
Answer:
x = 7
Step-by-step explanation:
A triangle's total interior angle measurement will equal 180°.
Set all measurements equal to 180:
(82) + (9x - 6) + (6x - 1) = 180
Simplify. Combine like terms:
(82 - 6 - 1) + (9x + 6x) = 180
(82 - 7) + (15x) = 180
(75) + 15x = 180
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, Subtract 75 from both sides of the equation:
15x + 75 = 180
15x + 75 (-75) = 180 (-75)
15x = 180 - 75
15x = 105
Next, divide 15 from both sides of the equation:
(15x)/15 = (105)/15
x = 105/15
x = 7
7 is your value for x.
~
Answer: Option 'E' is correct.
Step-by-step explanation:
Since we have given that
Let the total number of gongs be 'g'.
Number of ten inch gongs = 18
Let the number of 12 inch gongs be 'x'.
Let the number of 15 inch gongs be 'y'.
so, equation would be
Half of the gongs are tiger gongs is given by
Half of the 12 inch gongs are not tiger gongs
so, number of tiger gongs which is of 12 inch = 
Among the tiger gongs, there are equal numbers of ten inch, twelve inch and fifteen inch.
Half of the gongs are of 15 inch is given by
Since we have
so, According to question, it becomes,
Hence, Option 'e' is correct.
Answer:
The number 1 is not necessary when expressing powers of one. For example, you needn't write "5" as 
.
Step-by-step explanation:
