Anthropologists use the length of certain bones of human skeleton to estimate the height of the living person one of these bones is the femur to estimate the height in centimeters of a female with a femur length of x, the function h(x)=61.41+2.32x can be used find h (46) and explain its meaning

We have been given a function can be used to estimate the height in centimeters of a female with a femur length of x.

Let us find h(46) by substituting x=46 in our given function.

Now let us see what h(46) means. It means that the height of female with a femur length of 46 is 168.13 cm.

Given : Anthropologists use the length of certain bones of human skeleton to estimate the height of the living person one of these bones is the femur to estimate the height in centimeters of a female with a femur length of x, the function .

Thus , here x= "femur length "

h(x)= "height in centimeters of a female"

Substitute x= 46 in the above function,

It represents that if the femur length of a female is 46 cm , then the height of the female = 168.13 cm.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours