Answer:
75π in²
Step-by-step explanation:
The shaded sector is 3/4 of the circle. We can use the area formula for a circle to find the area of the whole circle, then multiply that result by 3/4.
A = πr² = π(10 in)² = 100π in²
Then the area of 3/4 of the circle is ...
3/4·A = (3/4)·100π in² = 75π in²
Answer:
The probability they have one boy and one girl = 0.50 = 50 %
Step-by-step explanation:
Here the family has two children, we need to find what is the probability they have one boy and one girl.
Probability for babies are boys = 51.3% = 0.513
Probability for babies are girls = 1 - 0.513 = 0.487
The probability they have one boy and one girl = 1 - probability that they have two boys - probability that they have two girls
The probability they have one boy and one girl = 1 - 0.513² - 0.487² = 0.499 = 0.50
The probability they have one boy and one girl = 0.50 = 50%
let the numbers be x and y
x + y = 1600 ----*
12%x = 20%y
0.12x = 0.2y
y = <u>0</u><u>.</u><u>1</u><u>2</u><u>x</u>
0.2
y = 0.6x
substitute in * eqn
x + 0.6x = 1600
1.6x = 1600
x = 1000
then,
y = 0.6*1000
y = 600
the numbers are 1000 and 600
<h2><em>I believe 10.91ft but I'm not sure.</em></h2>
Answer:
C(x) = 
Step-by-step explanation:
Data provided in the question:
Area of the field = 3600 square feet
Fencing charges = $3.50 per foot
Let the side along the river be 'x' feet and the other side of the 'B'
now,
Area of rectangle = Bx = 3600 square feet
or
B =
feet
and total length to be fenced = x + 2B
therefore,
Total cost of fencing = Fencing charges × total length to be fenced
or
Total cost of fencing = $3.50 × ( x + 2B )
substituting the value of B from (1)
Total cost of fencing, C(x) = 
or
C(x) = 