Answer:
2) 14 y 2 m
Step-by-step explanation:
Year 9 students: total age= 100* 14 10/12= 1400 +100*5/6= 1483 y 8 m
Year 8 students: total age= 100* 13 6/12= 1350 y
Total age of 200 students: 1483 y 8 m + 1350 y= 2833 y 8 m
Average age= 2833 8/12 ÷ 200= (12*2833+8)/12 ÷ 200 = 34004/(12*200)= 34004/2400= 14 404/2400 ≈ 14 1/6 y= 14 y 2 m
Answer
Find out the The numerical value of A - B and the numerical value of B - A .
To prove
As given
The expression 113.47 - (43.72 - 26.9) represents A.
The expression 113.47 - (26.9 - 43.72) represents B .
Thus
A - B = 113.47 - (43.72 - 26.9) - ( 113.47 - (26.9 - 43.72))
First solving the bracket terms.
A - B = 113.47 - (43.72 - 26.9) - 113.47 + (26.9 - 43.72)
= 113.47 - 16.82 - 113.47 - 16.82
= 113.47 - 113.47 - 16.82 - 16.82
= -33.64
Therefore the value of A- B is -33.64 .
Thus
B - A = 113.47 - (26.9 - 43.72) - (113.47 - (43.72 - 26.9))
First solving the bracket terms.
B - A = 113.47 - (26.9 - 43.72) - 113.47 + (43.72 - 26.9)
= 113.47 + 16.82 - 113.47 + 16.82
= 33.64
Therefore the value of the A - B is -33.64 and B - A is 33.64 .
Answer:
3x + 1 + 5x - 7 + 11x - 4 = 180°
x = 10°
Step-by-step explanation:
Sum of angle in Triangle = 180°
So lets add up the angles with combining like terms.
3x + 1 + 5x - 7 + 11x - 4 = 180°
19x + 1 - 7 - 4 = 180°
19x - 10 = 180°
19x = 190
x = 10°
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-Chetan K
<h3><u>Option A</u></h3>
is the required equation to calculate width of rectangular frame that has a total area of 140 square inches.
<h3>
<u>Solution:</u></h3>
Given that,
Length of a rectangular frame is given as 2x + 10
Width of the rectangular frame is given as 2x + 6
Total area = 140 square inches
<em><u>The area of rectangular frame is given as:</u></em>
Plugging in values, we get
This is the required equation to calculate width of rectangular frame
Solve the above quadratic equation to get the value of "x"
<em><u>Use the quadratic equation formula:</u></em>
Here a = 4 ; b = 32 ; c = -80
x = 2 or x = -10
Now measurement cannot be negative, so taking the positve value of "x", we can calculate the width
So put "x" = 2
Width of the rectangular frame = 2x + 6 = 2(2) + 6 = 10
Thus the width of frame is 10 inches
Answer:
I think it's 34.12 inches
Step-by-step explanation:
Use the Phythagorean Theorem, because bisecting a rectangle using the diagonal will produce 2 triangles. The diagonal represents the hypotenuse of the triangle so to solve for it you'd use the formula c² = a²+b²
