Answer:
(3) 49
Step-by-step explanation:
The circle diagram is attached below. angle mVS = 146°
and angle mST = 64°.
mWT = 360 -64 - 146 = 150 (angle at a point)
∠ VWS = 73° = mVS / 2
MVW = 180 - 146 = 34 (angle in a straight line)
MVW = 180 -73 - 34 = 73° (angle in a triangle)
∠TMR = 180 - 64 = 116° (angle on a straight line)
∠VMT = 116 + 34 = 150°
∠ MVT = ∠ MTV (base angles of an isosceles triangle)
150 +2∠ mTV = 180
∠ MTV = 15°
∠RVW = 73 - 15 = 58°
∠RVW + ∠ VWS + ∠VRW = 180
∠VRW = 180 - 58 - 73 = 49
Step-by-step explanation:
C. y= -5x + 27
D. y=2x - 15
thats all
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
Answer:
7 : 8
Step-by-step explanation:
150 adults complete a survey. 80 are women. Thus the ratio of number of men to number of women . Therefore the number of men to number of women be 7 : 8
There are infinitely many lines that have the point (1,-3).
A line can be expressed as:
y=mx+b, where m=slope and b=y-intercept..
Our only restriction is that it passes through (1,-3) so
-3=1m+b
So as long as the sum of the slope and the y-intercept is equal to -3, that is one of the infinite number of lines that passes through (1, -3)
So we could also say b=-3-m then our infinite lines are:
y=mx-3-m, now any real value of m creates a specific line that passes through the point. ie the first few are
y=x-4, y=2x-5, y=3x-6 or even y=x√2-3-√2
