Answer:
The Possible dimension of the ring could be;
20 ft × 60 ft
25 ft × 48 ft
30 ft × 40 ft
60 ft × 20 ft
48 ft × 25 ft
40 ft × 30 ft
Step-by-step explanation:
Given:
Number of skaters = 30
Area for each skater = 40 sq ft
We need to find the dimension of rectangular ring the are going to build.
Now we know that they building the skating ring such that they all can use at same time.
Hence if the all use at same time then we will find the total area first.
Total area can be calculated by multiplying Number of skaters with area required for each skaters.
Framing the equation we get;
Total area = 
Hence The total area of the rectangular ring would be 1200 sq. ft.
Now we know that Total area is equal to product of length and width.
1200 can be written as = 20 × 60, 25 × 48, 30 × 40,60 × 20,48 × 25,40 × 30
Hence the Possible dimension of the ring could be;
20 ft × 60 ft
25 ft × 48 ft
30 ft × 40 ft
60 ft × 20 ft
48 ft × 25 ft
40 ft × 30 ft
Answer:
x = 3/2
Step-by-step explanation:
Log x^4-logx^3=log 3x-log2x solve
log(x^4/x^3) = log(3x/2x)
Log cancels out
x^4/x^3 = 3x/2x
x^3 * x/x^3 = 3/2
x^3/x^3 * x = 3/2
x = 3/2
Hence the required value of x is 3/2
Answer:
{x,y} = {115/17,-23/17}
Step-by-step explanation:
I believe its true.
Answer:
The answers are a. 0.27 b. 0.2 c. 0.2 d. 0.3 e. 0.3 f. 1
Step-by-step explanation:
Total output = 100% = 1
Total defective = 6% + 5% + 8% + 8% = 27% = 27
a. Prob of defective item = total defective/total output
= 27/100
= 0.27
b. Prob of defective from machine 1 = 6/27 =0.2222
~ 0.2
c. Prob of item defective from machine2 = 5/27 = 0.1852
~0.2
d. Prob of de defective from machine 3 = 8/27 = 0.2963
~0.3
e. Prob of defective from machine 4
= 8/27 = 0.2963
~ 0.3
f. Sum of prob from b-e
0.2 + 0.2 + 0.3 + 0.3
= 1
Answer:y = - 2x + 17
Step-by-step explanation:
The equation of a line, represented in the slope-intercept form, is
y = mx + c
Where
Slope = m
c = intercept
Looking at the equation given,
y=1/2x + 8
Slope,m = 1/2
If a line is perpendicular to a another line, then the slope of one line is equal to the negative reciprocal of the other line. It means that the slope of the perpendicular line that passes through that passes through ( 4, 9 ) will be -2
To determine c,
We will substitute m = -2, y = 9 and x = 4 into the slope intercept equation,
y = mx + c. It becomes
9 = -2 × 4 + c
9 = -8 + c
c = 9 + 8 = 17
The equation becomes
y = - 2x + 17
