Answer:
Length of the rope = 15.6 ft.
Step-by-step explanation:
Given:
Height of the pole from the ground = 12 ft
Adjacent distance from the pole = 10 ft
We have to find the length of the rope attached by Scott to secure the pole.
According to the question :
In forma right angled triangle as shown in the figure.
We have to find the measure of the hypotenuse.
Length of rope = Hypotenuse measure
Let the length of the rope = "h" ft
Using Pythagoras formula.
⇒ ![(hypotenuse)=\sqrt{opposite^2+ adjacent^2}](https://tex.z-dn.net/?f=%28hypotenuse%29%3D%5Csqrt%7Bopposite%5E2%2B%20adjacent%5E2%7D)
⇒ Plugging the values.
⇒ ![h=\sqrt{12^2 + 10^2}](https://tex.z-dn.net/?f=h%3D%5Csqrt%7B12%5E2%20%2B%2010%5E2%7D)
⇒ ![h=\sqrt{144 + 100}](https://tex.z-dn.net/?f=h%3D%5Csqrt%7B144%20%2B%20100%7D)
⇒ ![h=\sqrt{244}](https://tex.z-dn.net/?f=h%3D%5Csqrt%7B244%7D)
⇒
ft
The length of the rope, rounded to the nearest tenth is 15.6 ft.
13.50 / 6 = 2.25
Im not sure if thats what your looking for..
Answer:
D. 47 square units
Step-by-step explanation:
The area of the piece of red paper after the hole for the photograph has been cut is the difference between the area of large square and are of small square.
<u>Area of large square:</u>
The length of the side of large square is
![EF=|-4-4|=8\ units](https://tex.z-dn.net/?f=EF%3D%7C-4-4%7C%3D8%5C%20units)
Area of large square ![=8^2=64\ un^2.](https://tex.z-dn.net/?f=%3D8%5E2%3D64%5C%20un%5E2.)
<u>Area of small square:</u>
The length of the side of large square is
![AB=\sqrt{(-3-(-2))^2+(-2-2)^2}=\sqrt{(-1)^2+(-4)^2}=\sqrt{1+16}=\sqrt{17}\ units](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%28-3-%28-2%29%29%5E2%2B%28-2-2%29%5E2%7D%3D%5Csqrt%7B%28-1%29%5E2%2B%28-4%29%5E2%7D%3D%5Csqrt%7B1%2B16%7D%3D%5Csqrt%7B17%7D%5C%20units)
Area of small square ![=\sqrt{17}^2=17\ un^2.](https://tex.z-dn.net/?f=%3D%5Csqrt%7B17%7D%5E2%3D17%5C%20un%5E2.)
<u>Difference:</u>
![64 \ un^2-17\ un^2=47\ un^2](https://tex.z-dn.net/?f=64%20%5C%20un%5E2-17%5C%20un%5E2%3D47%5C%20un%5E2)
<span>English: What is the name of the instrument used to measure the degrees of an angle?
responder:
transportador</span>
<h3>
Answer:</h3>
For each birdhouse built, the total cost increases by $3.50.
<h3>
Step-by-step explanation:</h3>
Let's try some of the answers and see if they work.
The "initial cost" will be the cost when 0 birdhouses are built.
... f(0) = 3.5·0 +24 = 24 . . . . . clearly, not $3.50
Then increasing the number of birdhouses by 1, the cost is ...
... f(1) = 3.5·1 +24 = 27.5 . . . . . the cost has gone up (not down) by $3.50
Clearly the total cost to build 1 birdhouse is not $3.50. (It is $27.50.)
___
Our exploration of the formula leads us to conclude ...
... For each birdhouse built, the total cost increases by $3.50.