Answer:
Step-by-step explanation:
The function that could model this periodic phenomenon will be of the form
The tide varies between 3ft and 9ft, which means its amplitude 
is
and its midline 
is
.
Furthermore, since at 
the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is 
.
The period of the full cycle is 14 hours, which means
giving us
With all of the values of the variables in place, the function modeling the situation now becomes
Step-by-step explanation:
Given :-
The length of the garden 8m greater than 2 times the width.
Area of the garden is 280 m²
Let us consider the length as x and width as y.
Sp, we can day length as :-
x = 8 + 2y ---(1)
Now, we know that:-
Area of Rectangle = Length × Breadth
280 = x * y
We can replace the value of x now,
280 = y × ( 8 + 2y)
280 = 8y + 2y²
2y² + 8y - 280 = 0
y² + 4y - 140 = 0
Factorise it.
(y -10)(y + 14)
Cancelling -ve value, we get the width as 10 metres.
<u>Hope</u><u> </u><u>it</u><u> </u><u>helps</u><u> </u><u>:</u><u>)</u>
Answer:
13
Step-by-step explanation:
ABC ~ DEF means that ABC and DEF are the same triangle either expanded or contracted.
In this case the scale factor is 1/2. That means DEF is half ABC.
Since AB = 26 then DE must be 26/2 = 13
Answer:
The required equation is:
So, Option C is correct option.
Step-by-step explanation:
Entry fee for fair = $30
Cost of one ride = $4
Cost of x rides = $4x
If y represents the total cost the equation will be sum, of entree fee and cost of x rides i.e
The required equation is:
So, Option C is correct option.
Answer:
Step-by-step explanation:
This is a perfect square.
So the final expression is
