Answer:
27.74cm^2
Step-by-step explanation:
area of circle: 3 times 3 times pi = 28.26cm^2
area of square: 8 times 7 = 56cm^2
subtract area of circle from square
56-28.26=27.74cm^2
<span>Set the two equations equal to each other and solve for x
10x +50 = 8x +60
-50 -50
-----------------
10x = 8x + 10
10x = 8x + 10
-8x -8x
---------------
2x = 10
2x = 10
divide by 2 on both sides
x=5
five additional services are needed for the two companies prices to be equal
</span>
Answer:
i) Area = 25 m²
ii) slope of roof = 36.87°
Step-by-step explanation:
(i) Let the midpoint of AB = M
Find BC by using Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of a right triangle)
Legs = MB and MC, hypotenuse = BC
⇒ 1.5² + 2² = BC²
⇒ 6.25 = BC²
⇒ BC = √(6.25) = 2.5
Area of a rectangle = width x length = BC x BE
⇒ area of BCFE = 2.5 x 5 = 12.5
⇒ area of ACFD = area of BCFE = 12.5
Therefore area covered by tiles = 12.5 + 12.5 = 25 m²
ii)
The angle of the slope of the roof will be angle ∠B of the right triangle ΔCMB.
Using sin(A)/a = sin(B)/b = sin(C)/c
sin(90)/2.5 = sin(B)/1.5
0.4 = sin(B)/1.5
0.6 = sin(B)
∠B = 36.87°
Answer:
2
Step-by-step explanation:
Experimental probability : (Number of times event occur / total number of trials)
Total Number of trials = (3 + 4 + 6 + 3) = 16
Experimental probability :
For 1: P(1) :
3/16
For 2 : P(2) :
4/16 = 1/4
For 3: P(3)
6 /16 = 3/8
For 4 : P(4)
3 / 16
Theoretical probability :
The Theoretical probability of 1, 2, 3 and 4 are the same ;
Theoretical probability =
(Required outcome / Total possible outcomes)
For each of 1 - 4
Theoretical probability = 1 /4
Experimental probability of P(2) = 1/ 4 and is Hence, the same as the Theoretical probability
