Answer: 2 meters.
Step-by-step explanation:
Let w = width of the cement path.
Dimensions of pool : Length = 15 meters , width = 9 meters
Area of pool = length x width = 15 x 9 = 135 square meters
Along width cement path, the length of region = 
width = 
Area of road with pool = 

Area of road = (Area of road with pool ) -(area of pool)
![\Rightarrow\ 112 =4w^2+48w+135- 135\\\\\Rightarrow\ 112= 4w^2+48w\\\\\Rightarrow\ 4 w^2+48w-112=0\\\\\Rightarrow\ w^2+12w-28=0\ \ \ [\text{Divide both sides by 4}]\\\\\Rightarrow\ w^2+14w-2w-28=0\\\\\Rightarrow\ w(w+14)-2(w+14)=0\\\\\Rightarrow\ (w+14)(w-2)=0\\\\\Rightarrow\ w=-14\ or \ w=2](https://tex.z-dn.net/?f=%5CRightarrow%5C%20112%20%3D4w%5E2%2B48w%2B135-%20135%5C%5C%5C%5C%5CRightarrow%5C%20112%3D%204w%5E2%2B48w%5C%5C%5C%5C%5CRightarrow%5C%204%20w%5E2%2B48w-112%3D0%5C%5C%5C%5C%5CRightarrow%5C%20w%5E2%2B12w-28%3D0%5C%20%5C%20%5C%20%5B%5Ctext%7BDivide%20both%20sides%20by%204%7D%5D%5C%5C%5C%5C%5CRightarrow%5C%20w%5E2%2B14w-2w-28%3D0%5C%5C%5C%5C%5CRightarrow%5C%20w%28w%2B14%29-2%28w%2B14%29%3D0%5C%5C%5C%5C%5CRightarrow%5C%20%28w%2B14%29%28w-2%29%3D0%5C%5C%5C%5C%5CRightarrow%5C%20%20w%3D-14%5C%20or%20%5C%20w%3D2)
width cannot be negative, so w=2 meters
Hence, the width of the road = 2 meters.
Answer:
Three equivalent ratios of
are
,
and
.
Step-by-step explanation:
We are given a fraction
.
We need to find the three equivalent ratios/fractions of
.
The common factor of 14 and 2 is 2.
So, dividing top and bottom by 2, we get
14÷2 = 7 and 2÷2 that is
.
Multiplying
fraction by a common number 3 in top and bottom, we get
7 × 3 = 21
1 × 3 = 6
So, we get another equivalent fraction
.
Multiplying
fraction by a common number 3 in top and bottom, we get
7 × 4 = 28
1 × 4 = 4
So, we get another equivalent fraction
.
Therefore, three equivalent ratios of
are
,
and
.
Answer:
x = 8.8
Step-by-step explanation:
take 20 degree as reference angle .the,
hypotenuse = OQ = x (hypotenuse is always opposite of 90 degree)
perpendicular(opposite) = PQ 3 (opposite of reference angle is perpendicular or also called as opposite)
base(adjacent) = OP (side which lies on the same line where 90 degree and reference angle)
using sin rule
sin 20 = opposite / hypotenuse
0.34 = 3 / x
x = 3/0.34
x = 8.82
x = 8.8
Answer:
C
Step-by-step explanation:
If you add all of the numbers above you will get 47 so
32+10+5=47
and of course there are 32 chocolates with orange filling
so the probability is 32/47