Answer: Part 1: 111.24
Part 2: 9.27
Part 3: 54 minutes
Step-by-step explanation:
Part 1: Since you already know that the total bill increases by 3%, you just have to find 103% of 180.
1.03*108= 111.24; your answer would be 111.24 pounds
Part 2: Since you already know yearly, 111.24 divided by 12= 9.27 per month
Part 3: First find 73% of 200 which is 146. Then subtract that from 200 which is 54. So you have 54 minutes left.
Answer:
Fencing is done along KL which is (1500+520.8=2020.8 m) from the top left corner and divides the property into half.
Step-by-step explanation:
Given the figure with dimensions. we have to find the area of given figure.
Area of figure=ar(1)+ar(2)+ar(3)
Area of region 1 = ar(ANGI)+ar(AIB)
![=L\times B+\frac{1}{2}\times base\times height\\\\=[1500\times (5000-2000-1500)]+\frac{1}{2}\times (3000-1500)\times (5000-2000-1500)\\\\=3375000m^2=337.5ha](https://tex.z-dn.net/?f=%3DL%5Ctimes%20B%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height%5C%5C%5C%5C%3D%5B1500%5Ctimes%20%285000-2000-1500%29%5D%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%283000-1500%29%5Ctimes%20%285000-2000-1500%29%5C%5C%5C%5C%3D3375000m%5E2%3D337.5ha)
Area of region 2 = ar(DHBC)
Area of region 3 = ar(GFEH)
Hence, Area of figure=ar(1)+ar(2)+ar(3)=337.5ha+300ha+350ha
=987.5 ha
Now, we have to do straight-line fencing such that area become half and cost of fencing is minimum.
Let the fencing be done through x m downward from B which divides the two into equal area.
⇒ Area of upper part above fencing=Area of lower part below fencing
⇒
Hence, fencing is done along KL which is (1500+520.8=2020.8 m) from the top left corner and divides the property into half.
Answer:
See below ~
Step-by-step explanation:
<u>Given</u> : 3 angles of a Δ
- (x + 5)°
- (x + 10)°
- (x + 15)°
<u>Solving</u> :
- According to Angle Sum Property of a triangle, the angles of a triangle add up to 180°
- x + 5 + x + 10 + x + 15 = 180
- 3x + 30 = 180
- x + 10 = 60
- x = 50
<u>Finding the angles</u>
- x + 5 = 50 + 5 = 55°
- x + 10 = 50 + 10 = 60°
- x + 15 = 50 + 15 = 65°
Answer:
1 , 29/11
Step-by-step explanation:
3x+y = 10 ....(1)
2x² +y² = 19 ....(2)
3x+y= 10
y = 10-3x
substituting the value of y in 2nd equation
2x² + y² = 19
2x² + (10-3x)² = 19
2x² + 100 + 9x² - 60x -19 = 0
11x² - 60x +81 = 0
11x² - 33x - 27x + 81 = 0
11x( x-3) - 27(x-3) = 0
(x-3)(11x-27) = 0
x = 3, 27/11
substituting x value on first equation
x= 3 x= 27/11
y= 10-3(3) y= 10 - 81/11
= 10-9 = (110-81)/11
= 1 = 29/11
Hope it helps...
