You would have to make common denominators
consider a/b,c/d in Q
then a/b - c/d = ad/db - cb/bd = (ad-cb)/db for all a,b,c,d in R, exclude b,d=0
i.e. 1/2 - 1/4
=4/8 - 2/8 =(4-2)/8=2/8 =1/4
Answer:
m = 17.78.
Step-by-step explanation:
Given the algebraic expression;
2.5m + 10 = 1.6m - 6
To find the value of m;
First of all, we would collect like terms.
2.5m - 1.6m = -6 - 10
0.9m = -16
m = -16/0.9
m = 17.78
Answer:
A. 300π units³
Step-by-step explanation:
Formula for volume of a cone = ⅓πr²h
Where,
radius (r) = ½(10) = 5 units
height (h) = 36 units
Plug in the values and find the volume in terms of π
Volume of the cone = ⅓*π*5²*36
Volume of the cone = 300π units³
Answer: it will cost $280
Step-by-step explanation:
The diagonal of the rectangular garden divides it into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 24² + 32²
d² = 576 + 1024 = 1600
d = √1600
d = 40 feet
If the path is 2 feet wide, then the area of the path is
Area = 40 × 2 = 80 ft²
If gravel costs $3.50 a square foot, then the cost to install the gravel path is
3.5 × 80 = $280
