Step-by-step explanation:
Marked price (MP) = x
Selling Price after discount (SP after discount)
= Rs. 1350
Discount rate = 25%
Now
SP after discount = MP - discount % of MP
1350 = x - 25 % of x
1350 = x - x / 4
1350 = 3x / 4
1350 * 4 =3x
5400 / 3 = x
Therefore x = Rs. 1800
The marked price is Rs. 1800
Answer: -2.10
Step-by-step explanation:
just took the test
Answer:
A) x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0
B) radius = 5
center = (4,-1,-3)
Step-by-step explanation:

A ) Determine the curve in which the sphere intersects the yz-plane
determine the radius ( r ) = √((6-(-1))2+(-2-2)2+(3-1)2) = √69
next the equation of the sphere ( curve in which the sphere intersects the yz-plane )
x^2+2x+y^2-4y+z^2-2z-63 = 0
B) determine the center and radius of the sphere
X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0
(x-4)2+(y+1)2+(z+3)2 = 25 = 52
radius = 5
center = (4,-1,-3)
Answer:
125.141
Step-by-step explanation:
Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.
17 is our hypotenuse
17/2 = 8.5, this is one of our legs
The other leg is our height, which we will find.
We use Pythagoras Theorem to find the height/leg: 

= 14.72243186
Now, we use another formula to find the area of the triangle: 
14.72243186 × 17 = 250.2813416
250.2813416 ÷ 2 = <u>125.1406708</u>
Th evalope kf the line is -3