The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.
He needs to move the ladder 0.1 ft closer to the base of the building.
The situation forms a right angle triangle.
<h3>Right angle triangle</h3>
Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.
The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;
cos 65° = adjacent / hypotenuse
cos 65° = d / 10
d = 10 × 0.42261826174
d = 4.22618261741
d = 4.2 ft
She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;
cos 65 = d / 9.6
d = 9.6 × 0.42261826174
d = 4.05696
d = 4.1
Therefore, he needs to move the ladder 0.1 ft closer to the building.
learn more on right angle triangle here: brainly.com/question/14988069
Answer:
We get x=3 and y=21
The ordered pair will be: (3,21)
Step-by-step explanation:
We need to use the substitution method to solve the system of equations.
For substitution method we substitute the value of x or y from one equation to other.
Let:
Putting value of y from equation 2 into equation 1
So, we get value of x=3
Now, for finding value of y, We substitute the value of x
Find value of x from equation 2
Now, putting value of x in equation 1
So, we get value of y=21
So, We get x=3 and y=21
The ordered pair will be: (3,21)
Fee of $65
$10.50 per hour
'x' represents hours
Therefore we have:
y = 10.50x + 65
Because 10.50 is the cost per hour, and x represents hours, so we put these together. 65 is a one-time fee, so we just add it on.
Answer:
y = x + 15
Step-by-step explanation:
okay so you're gonna use the y2-y1/x2-x1 formula to find the slope (m)
24 - 19/9 - 4 = 5/5 = 1
so that is your slope (m)
and now if you follow your slope then you should get your y-intercept (b)
4 - 1 = 3 19 - 1 = 18
(3, 18)
3 - 1 = 2 18 - 1 = 17
(2, 17)
2 - 1 = 1 17 - 1 = 16
(1, 16)
1 - 1 = 0 16 - 1 = 15
(0, 15)
so thats your y-intercept (b)
and the equation will look like:
y = mx + b y = x + 15 or y = 1x + 15 (but the 1 isn't necessary)
