Step-by-step explanation:
We have AB = 7, Angle ABC = 70°
and Angle ACB = 90°.
Angle BAC = 180° - 70° - 90° = 20°
(Sum of angles in a triangle = 180°)
Using Trignometry,
AC = 7sin70° = 6.58.
BC = 7cos70° = 2.39.
When a figure is dilated, this means the corresponding sides of the shape is enlarged in a uniform multiple. In this case, the ratio of the sides remains the same. Thus, when ratio of the sides remain the same, the corresponding angles are also congruent in the dilated figure. The answer here is B. similar
Answer:
Length of the road parallel to the length of the park= 700m
Width of the road= 10m
Area of the road= l\times b=700m\times10m=7000m^2l×b=700m×10m=7000m
2
Length of the road parallel to the breadth of the park =300m
Width of the road= 10m
Area of this road= l\times b=300m\times10=3000m^2l×b=300m×10=3000m
2
Area of both the roads
=7000m^2+3000m^2-Area\ of\ the\ common\ portion\=7000m
2
+3000m
2
−Area of the common portion
=10000m^2-10m\times10m=10000m
2
−10m×10m
=10000m^2-100m^2=10000m
2
−100m
2
=9900m^2=0.99=9900m
2
=0.99
Area of the park = l\times bl×b
=700m\times300m=210000m^2=700m×300m=210000m
2
Area of the park excluding the roads
=210000m^2-9900m^2=210000m
2
−9900m
2
=200100m^2=20.01=200100m
2
=20.01
Answer:
probability = 0.503
Step-by-step explanation:
given data
now = 1:00 p.m
last ghost appearance = 12:35 p.m
solution
we consider here Ghost appearances occur in house according to a Poisson process having a rate = 1.4 ghosts per hour
so time duration from 1:00 pm to 1:30 pm = 0.30 min = 0.5 hrs
and we take random variable denoting inter-arrival time = Y
so here probability that the 7th ghost will appear before 1:30 p.m. is as
probability = P(Y < 0.5)
probability = 1 - 
probability = 1 - 0.497
probability = 0.503
Answer:
C
Hope this helped, have a nice rest of your day!!♥♥
