Using linear functions, it is found that:
- Jose's equation is:
.
- Gavin's equation is:
.
- They will be on the same page on the 9th day.
<h3>Linear function:</h3>
A <em>linear function</em> is modeled by:
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Jose:
- Initially, he was on page 10, hence
.
- He reads 17 pages per day, hence
.
- Hence, Jose's equation is: .
Gavin:
- Initially, he was on page 37, hence
.
- He reads 14 pages per day, hence
.
- Hence, Gavin's equation is: .
The day they will both be on the same page is x for which:
Hence:
They will be on the same page on the 9th day.
To learn more about linear functions, you can take a look at brainly.com/question/16302622
Answer:
n = √3
m = √3
Step-by-step explanation:
The triangle is an isosceles right triangle with 2 equal base angles of 45° each.
Thus:
Reference angle = 45°
Hypotenuse = √6
Opposite = m
Adjacent = n
✔️To find m, apply the trigonometric function SOH, we have:
Sin 45 = opp/hyp
Sin 45 = m/√6
√6 × 1/√2 = m (sin 45 = 1/√2)
√6/√2 = m
√(6/2) = m
√3 = m
m = √3
✔️To find n, apply the trigonometric function, CAH:
Cos 45 = adj/hyp
Cos 45 = n/√6
√6 × √2/2 = n (cos 45 = √2/2)
√12/2 = n
√(4*3)/2 = n
(2√3)/2 = n
√3 = n
n = √3
A square always has 4 equal sides. this is a well known fact and this can be used to deduce the area of the square. We also know that the length of one side of the square is 3.5 metres. Then to finding the area of the square is easy.
Area of the square = (3.5 * 3.5) square metres
= 12.25 square metres
So the area of the square garden is 12.25 square metres.
the formula of calculating area changes with the shape of the garden. this formula will not work if the garden is rectangular or circular in shape.
6.11 miles is Emily’s Distance amount
