Use the formula SA=a+1/2ps
a=area of the base
p= perimeter of the base
s= slant height
Answer:
100 km/hr
Step-by-step explanation:
First Leg:
Speed = 60 km/h
Time = 30 min = 0.5 h
1st leg distance = speed x time = 60 km/hr x 0.5hr = 30 km
Second Leg:
Distance remaining = 80 km - 30 km = 50 km
Time = 30 min = 0.5 h
speed = distance / time = 50 / 0.5 = 100 km/hr
Answer:
Step-by-step explanation:
We know that since angles in a triangle add up to 180º, the remaining angle must be 45º.
So the side with length 
must be equal to the side with length 
. That is:
Now, by Pythagoras:
Answer:
The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.
Step-by-step explanation:
We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.
Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
cos X = (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)
= 0.18310
X = 79.45 degrees.
We can now find another angle using the sine rule:
8.6 / sin 79.45 = 7.5/ sin Y
sin Y = (7.5 * sin 79.45) / 8.6
Y = 59.02 degrees
So the third angle = 180 - 79.45 - 59.02
= 41.53 degrees.
Answer:
u = fv/(v - f)
Step-by-step explanation:
1/f = 1/u + 1/v
1/u = 1/f - 1/v = v/fv - f/fv = (v-f)/fv
1/u = (v-f)/fv
u = fv/(v - f)
