Let selling price = SP and cost price = CP
He makes 20 % on selling price means = >
(sp-cp) / sp = 20 % = 20/100 = 0.2
(sp - cp) / sp = 0.2
1 - cp/sp = 0.2
1 - 0.2 = cp/sp
0.8 = cp/sp
Reversing 1 / 0.8 = sp/cp = 1.25
We need to find profit on cost price means =
=(sp-cp)/ cp
= sp/cp - 1 = 1.25 - 1 = 0.25
Means 25 % profit on cost price : Answer
Hope that will help :)
Angles TRS and VRW are vertical angles, so we can set them equal to each other to get x:
x+40=3x
40=2x
20=x
So the value of x is 20
Answer:
18550cm²
Step-by-step explanation:
140×110=15400
½×70×90=3150
15400+3150=18550
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k
f(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
The volume of the ring-shaped remaining solid is <u>1797 cm³</u>.
The volume is the total space occupied by an object.
The volume of a sphere of radius r units is given as (4/3)πr³.
The volume of a cylinder with radius r units and height h units is given as πr²h.
In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.
The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.
Therefore, the volume of the ring-shaped remaining solid is given as,
= (4/3)π(9)³ - π(5)²(18) cm³,
= π{972 - 400} cm³,
= 572π cm³,
= 1796.99 cm³ ≈ 1797 cm³.
Therefore, the volume of the ring-shaped remaining solid is <u>1797 cm³</u>.
Learn more about volumes of solids at
brainly.com/question/14565712
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