23 is less than 25 which means it's closer to 20, so you would round it down to 20. 1.75 is over 0.50, 1/2, so you would round it up to 2. If you multiply 2 and 20 you would get 40.
Number two gets the same explanation just with different numbers.
Answer:
a. 0.588
b. 0.0722
c. 4.576 sqft/sec
Step-by-step explanation:
Let b and h denote the base and height as indicated in the diagram. By pythagoras theorem,
because it is a right angle triangle.
It is given that 
Now differentiate (1) with respect to t (time) :


The minus sign indicates that the value of h is actually decreasing. The required answer is 0.588.
b. From the diagram, infer that
. When b = 8, then
.
Differentiate the above equation w.r.t t

c. The area of the triangle is given by
. Differentiating w.r.t t,

Plugging in b = 8, h = 13.856,
,
Answer: <em>it will actually be -3, 7</em>
(3,6) (5,3)
(x1,y1)(x2,y2)
The slope equation is: y2-y1
---------
x2-x1
Replace with numbers: 3-6/5-3
Minus 3 and 6 is equal to -3
Minus 5-3 is 2
So the fraction is -3/2 (no need to divide because you can't simplify it)
So the slope is -3/2
For the equation you have to replace the letters by 0's
3×0-2y=6
Times 3 and 0
0-2y=6
Now you want to get the y alone, so minus 0 from both sides
0-2y=6
-0 -0
-2y=6
Divide -2y from the 6
-2y=6
---- ---
-2 -2
y=3
The y intercept is 3 with the slope of -3/2
Answer:
A. Each shape has 12 edges
Step-by-step explanation:
A is the only one that is true.
The shapes have 6 faces, not 7 or 8.
The edges are the places were two planes intersect, and there are 12, not 6.