Answer:
30.28 yd²
Step-by-step explanation:
Area enclosed = area of trapezoid + area of semicircle
= ½(a + b)*h + ½(πr²)
Where,
a = 5 yd
b = 2 + 5 = 7 yd
h = 4 yd
r = ½(4) = 2 yd
Plug in the known values
Area enclosed = ½(5 + 7)*4 + ½(π*2²)
Area enclosed = ½(12)*4 + ½(π*4)
= 6*4 + π*2
= 24 + 2π
= 30.2831853
≈ 30.28 yd² (2 decimal places)
Answer:
The possible digits 0, 1, 2 , 3 or 4 .
Step-by-step explanation:
The possible digits that could go in the thousands place to make 13_,644 ≈ 130,000 this statement correct are: 0 1, 2,3 or 4.
<u>For example:</u> 132,644 may rounded off to 130,000
Round the number to the nearest thousand make the numbers whose last three digit through 644 into the next lower numbers that ends in 000.
Using number line for this possibility as shown in the below diagram:
Answer:
Part a) The table in the attached figure (see the explanation)
Part b) see the explanation
Step-by-step explanation:
Let
y ----> the total cost of Lift Tickets
x ----> the number of days
we know that
The linear equation in slope intercept form is given by

where
m is the slope or unit rate of the linear equation
b is the initial value or y-intercept pf the linear equation
In this problem we have
The slope is equal to

The y-intercept is equal to

substitute

<u><em>Complete the table</em></u>
Find the value of y for each value of x
For x=0 day

For x=1 day

For x=2 days

For x=3 days

For x=4 days

For x=5 days

For x=6 days

Part b) Explain how you know the data in the table above is linear
The data in the table is linear, because satisfy the equation of the linear equation

where
x is the variable independent or input value (the number of days)
y is the variable dependent or output value (the total cost of Lift Tickets)
The difference quotient is

Expand the numerator and you'll see cancellation of a factor of
(assuming
):


