<span>Let l equal the length of the rectangle
</span><span>width of a rectangle is 10 mm shorter than its length
</span>
<span>a. Write an expression for the width in terms of the length?
</span> w = l - 10
<span>b. Write an equation for the perimeter in terms of l.
P = l + l + (l-10) + (l-10)
P =4l - 20
</span><span>c. Solve the equation, clearly indicating the length of the rectangle.
</span> P =4l - 20
244 = 4l - 20
4l = 244 + 20
4l = 264
l = 284/4
l = 66
<span>d. Solve for the width of the rectangle. Clearly indicate the width of the rectangle.
</span>w = l - 10
w = 66 - 10
w = 56
Answer:length of wire = 116 ft
Explanation:The attached image shows a diagram on the scenario given.
Now, we can note that the string forms a right-angled triangle with the tower and the ground. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Now, from the given, we can find that:
θ = 34°
opposite is the tower = 65 ft
hypotenuse is the string length that we want to find
Substitute with the givens in the sin function to get the length of string as follows:
sin (34) = 65 / string
string = 65 / sin(34)
string = 116.2 which is approximately 116 ft
Hope this helps :)
Answer:
40.5
Step-by-step explanation:
If you would like to solve the system of equations, you can do this using the following steps:
y = - 3
y = x - 0.8
_________
y = y
- 3 = x - 0.8
x = - 3 + 0.8
x = - 2.2
(x, y) = (- 2.2, - 3)
The correct result would be <span>(- 2.2, - 3).</span>
The degree is 8. The 6x^3y^5 is a monomial and 8y^6 is another monomial. So you have to add the degrees on the term that has the most degree. So 3+5 is 8