Answer:
520 people in 2 hours
rate = 260 people per hour
Step-by-step explanation:
change minutes to hours
15 minute* 1 hr/60 minutes = .25 hrs
65 people x people
--------------- = ------------------
.25 hrs 2 hrs
using cross products
65 * 2 = .25 * x
130 = .25x
divide by .25
130/.25 = .25x/.25
520 =x
520 people
65 people x people
--------------- = ------------------
.25 hrs 1 hrs
using cross products
65 = .25x
divide by .25
65/.25 = .25x/.25
260 =x
260 people in 1 hour
rate = 260 people per hour
The formula for the area of a triangle is 1/2*b*h=a.
1/2*b*14=56
b*14=112
b=8
The median is going to be 75 since it is in the middle of the box.
Answer:
=204.13 inches.
Step-by-step explanation:
Using the side x, we can use sine to find the hypotenuse of the triangle with the angle marked 30°.
Sin 30 =x/hypotenuse.
sin 30 = 27/hyp
hyp= 27/sin 30
=54 inches
We can also find the adjacent as follows.
Cos 30 = adjacent/ 54
Adjacent= 54 cos 30
=46.77 inches
Using the angles marked 45 we can find the hypotenuse of the isosceles triangle.
sin 45= x/hypotenuse
sin 45 =27/hypotenuse
hypotenuse = 27/sin 45
=38.18 inches
The hypotenuse of both the triangles making the isosceles triangle are 38.18 inches long.
Perimeter = 54+ 46.77+27+ 38.18+38.18
=204.13 inches.