Step-by-step explanation:
ABC is an isoceles triangle (both legs are equally long). and AB is its baseline.
OC is now a median for ABC splitting the angle at C and AB in half.
so, we have 2 right-angled triangles : OAC and OBC.
the half-angles at C are 42/2 = 21°.
the angles at A and B are 90°.
and the half-angles at O are 180 - 90 - 21 = 69°.
remember that the sum of all angles in a triangle must always be 180°.
AB are the heights of both of these triangles.
the single height is sin(69)×7 = 6.535062985... cm
and so,
AB = 2× height = 13.07012597... cm.
Answer:
9/2
Step-by-step explanation:
A Rational Number can be made by dividing two integers. (An integer is a number with no fractional part.) So therefore, 9/2 is a rational number
Answer:
<em>Last option </em>
Step-by-step explanation:
The general sine function has the following form
Where A is the amplitude: half the vertical distance between the highest peak and the lowest peak of the wave.
is the period: time it takes the wave to complete a cycle.
k is the vertical displacement.
phase shift
We know that:
amplitude: 1; period: 2; phase shift: 3; vertical shift: 4
Thus:
Then the function is:
The answer is last option
X=hours of plan A
y=hours of plan B
wed: 5x+6y=12
thu: 3x+2y=6
so
5x+6y=12 and
3x+2y=6
we can eliminate y's by multiplying 2nd equation by -3 and adding to first equation
-9x-6y=-18
<u>5x+6y=12 +</u>
-4x+0y=-6
-4x=-6
divid both sides by -4
x=-6/-4
x=3/2
x=1.5
sub back
3x+2y=6
3(1.5)+2y=6
4.5+2y=6
2y=1.5
y=0.75
Plan A=1.5 hours
Plan B=0.75 hours
Select both the 2nd and 4th options!
