Step-by-step explanation:
Given that,
Length, l = (3d+2) m
Width, b = (d+5) m
(a) Perimeter of the rectangle,
P = 2(l+b)
P = 2(3d+2+d+5)
= 2(4d+7)
P = 8d+14
(b) If P = 30 cm.
8d+14 = 30
8d = 16
d = 2
(c) l = (3(2)+2) = 8 m
b = (2+5) = 7 m
The area of this rectangle,
A = lb
A = 8×7
A = 56 cm²
Hence, this is the required solution.
Answer:
False.
Step-by-step explanation:
A cone is not a solid made from a disc, a point not in the same plane as the discs and all points between them.
Mathematically, the volume of a cone is given by the formula;
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Answer:
1300 mm
Step-by-step explanation:
mark me brainliest if earned
-3x^2 + 2y^2 = 10
2y^2 = 10 + 3x^2
y^2 = 5 + 3/2x^2
distance between two points is given by
d = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt((x - 4)^2 + (y - 0)^2) = sqrt((x - 4)^2 + y^2) = sqrt((x - 4)^2 + 5 + 3/2x^2)
For d to be minimum (closest), dd/dx = 0
(2(x - 4) + 3x)/2sqrt((x - 4)^2 + 5 + 3/2x^2) = 0
2(x - 4) + 3x = 0
2x - 8 + 3x = 0
5x = 8
x = 8/5 = 1.6
y^2 = 5 + 3/2(1.6)^2 = 5 + 3/2(2.56) = 221/25
y = sqrt(221/25) = 2.97
Therefore, the required point is (1.6, 2.97)