Answer:
<em>PZ = 15</em>
Step-by-step explanation:
<u>Similar Triangles</u>
Two triangles are similar if all of their corresponding side lengths are proportional to the same scale factor.
It's given triangles TPR and XPZ are similar, thus we can find the scale factor by comparing two corresponding sides with known lengths.
Sides TR and ZX are corresponding and the proportion of their side lengths is 15/9. The same proportion must be satisfied by the sides TP and XP:
PX and PZ are congruent, thus:
Calculating:
PZ = 15
0=4(x²+8x+16)-12
0=4x²+32x+64-12
0=4x²+32x+52
0=x²+8x+13
D=b²-4ac
D=64-52=12
x=(-b-√D)/2a
x=(-b+√D)/2a
x=(-8-2√3)/2= (-2(4+√3))/2= -(4+√3)
AND
x=(-8+2√3)/2=-2(4-√3)/2= -(4-√3)
Answer:
44
Step-by-step explanation:
the answer is 44 because 44 is the average and your wondering how i got 44 you add all the numbers up which will be 54 and divide by all the total numbers you have so in that case you hvae 6 numbers so 54 divide by 6 is 44
Since LM = AM, point M must be on the perpendicular bisector of AL. Since AM = BM, BL must be perpendicular to AL. This makes ∆ALC a right triangle with hypotenuse AC twice the length of side AL. Hence ∠LAC = ∠LAB = 60°, and AL is angle bisector, median, and altitude.
ΔABC is isosceles with ∠A = 120°, and ∠B = ∠C = 30°.
Answer:
1)- Variable utilities cost per machine hour = 1.6 per machine hour
2)- Fixed cost = 1740
3)-Total cost on 1220 Machine hour will be
= 3692
Step-by-step explanation:
1) CALCULATE VARIABLE UTILITIES COST PER MACHINE HOUR :
Variable utilities cost per machine hour = Change in cost/high machine hour-low machine hour
=4076-3388/1460-1030
Variable utilities cost per machine hour = 1.6 per machine hour
2) Fixed cost = Total cost-variable cost
= 3388-(1030*1.6)
Fixed cost = 1740
3) Total cost on 1220 Machine hour will be (1220*1.6+1740) = 3692
