Answer:
b is the inequality this number line represent
Answer:
Domain = ( -∞ , ∞ )
Range = ( ∞ , ∞ )
Step-by-step explanation:
A function is given to us and we need to find the domain and range of the given function .
<u>The </u><u>function</u><u> </u><u>:</u><u>-</u><u> </u>
Definitions :-
- <u>Range </u>:- The range is the set of all valid y values .
- <u>Domain</u> :- All real numbers except where the expression is undefined.
In this case, there is no real number that makes the expression undefined. Therefore the domain will be :-
<u>Domain</u><u> </u><u>:</u><u>-</u><u> </u>
or
<u>Range </u><u>:</u><u>-</u><u> </u>
or
Remark
You need to do some trig to get the final answer. There is no way around it. You can however, solve the first part with the Pythagorean Theorem.
Step One
Find AB
AB^2 = DB^2 + AD^2
AB^2 = 7.5^2 + 4.9^2
AB^2 = 56.25 + 24.01
AB^2 = 80.26
AB = sqrt(80.26)
AB = 8.9588
Step Two
Move to the triangle on your right. Find x
Tan(C)= opposite / adjacent
Tan(55.8) = AB/adjacent
Tan(55.8) = 8.9588/ x Multiply both sides by x
x * tan(55.8) = 8.9588 Divide by tan(55.8)
x = 8.9588/tan(55.8)
x = 6.09
Answer: A
Here's the given:
P=$400
i=7.5%
A=$8500
The formula used for this problem is:
A = P(1+i)^t
Manipulating the equation to arrive at t, we have:
t = ln(A/P) / ln(1+i)
Plugging in values:
t = ln($8500/$400) / ln(1+0.075)
<span>t = 42.26 years</span>
Answer:
$5,671.84
Step-by-step explanation:
To find the third side, we can use the law of cosines:
c^2 = a^2 + b^2 - 2ab*cos(theta)
c^2 = 157^2 + 157^2 - 2*157*157*cos(65)
c^2 = 28463.7649
c = 168.71 feet
The perimeter of the playground is:
P = 157 + 157 + 168.71 = 482.71 feet
If each foot costs $11.75, the final cost is:
Cost = 482.71 * 11.75 = $5,671.84
