P (A U B) = 37/50
7/20+3/5+21/100
Answer:
Step-by-step explanation:
The gradient = change in y / change in x
When the x value increases by 1, the y value decreases by 2 so -2 / 1 = -2
The y intercept is 4, so it is +4
Answer:
1/6
Step-by-step explanation:
Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
<h3>2
Answers: Angle 4 and angle 2</h3>
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Explanation:
Supplementary angles add to 180 degrees. Visually, supplementary angles can be glued together to form a straight angle or a straight line.
We see that happens with angles 1 and 4, and this also happens with angles 1 and 2. This is why these two angles make up the answer.
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The other answer choices can be ruled out.
Angles 1 and 9 would be congruent if we knew the shallow sloping lines were parallel. The only time angles 1 and 9 are supplementary is if both are 90 degrees. In any other case, they are not supplementary angles.
Angles 1 and 12 are same side exterior angles. They would be supplementary if the shallow sloping lines were parallel. However, if you extend out each line, you'll see that they eventually intersect. Parallel lines never intersect.
