Answer:
The final number is 78.75
Step-by-step explanation:
we know that
1) The number 450 is increased by 75%
The number 450 represent 100%
Remember that
so
The increased number is
2) The result is then decreased by 90%
In this moment
787.5 represent the 100%
Remember that
The decreased number is
therefore
The final number is 78.75
Answer:
The coordinates of Jedds house are (-7 , -2)
Step-by-step explanation:
* Lets explain how to solve the problem
- If point (x , y) divide the distance between the two points
and at the ratio
, then
and
* Lets solve the problem
∵ Hollis house is located at (-1 , 4)
∴ = (-1 , 4)
∵ She can walk in a straight line to get to Jedds house
∵ The restaurant is located at (-3 , 2) and partitions the way from
Hollis house to Jedds house by a ration of 1 : 2
∴ (x , y) = (-3 , 2)
∴ = 1 : 2
- Lets consider that Jedds house is located at
∴
∴
- Multiply both sides by 3
∴
- Add 2 for both sides
∴
∴
∴
- Multiply both sides by 3
∴
- Subtract 8 for both sides
∴
∴ The coordinates of Jedds house are (-7 , -2)
Answer:
(-7 , -2)
Step-by-step explanation:
The above answer is correct
The perimeter of the given triangle in the coordinate plane is 36 units.
Given:
The triangle PQR with vertices P(-2,9) Q(7,-3) and R(-2,-3) in the coordinate plane.
To find:
The perimeter of the triangle.
Solution:
The distance formula to find the distance between two points () and
():
The distance between point P(-2,9) and Q(7,-3)
The distance between point Q(7,-3) and R(-2,-3)
The distance between point R(-2,-3) and P(-2,9)
The perimeter of the triangle will be given by"
The perimeter of the given triangle in the coordinate plane is 36 units.
Learn more about the distance formula here:
Answer:
The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat polygonal faces), for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration.
Step-by-step explanation: