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olga_2 [115]
3 years ago
14

Once again I am in need of help,

Mathematics
1 answer:
natka813 [3]3 years ago
3 0
Hope it helps...........


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Scott sets up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 12 feet high. To
Assoli18 [71]

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}

⇒ Plugging the values.

⇒ h=\sqrt{12^2 + 10^2}

⇒ h=\sqrt{144 + 100}

⇒ h=\sqrt{244}

⇒ h=15.62 ft

The length of the rope, rounded to the nearest tenth is 15.6 ft.

6 0
3 years ago
John and Tim are looking at the equation the square root of the quantity of 3 times x minus 4 equals square root of x . John say
IgorC [24]
The equation is 
3x - 4 = sqrt(x)
where 'sqrt' is shorthand for 'square root'

Let's solve the equation. To do so, we square both sides. Then we get everything to one side
3x - 4 = sqrt(x)
(3x - 4)^2 = (sqrt(x))^2
9x^2 - 24x + 16 = x
9x^2 - 24x + 16-x = x-x
9x^2 - 25x + 16 = 0

Now use the quadratic formula. See the attached image for those steps.

After using the quadratic formula the two possible solutions are x = 1 or x = 16/9

We need to check each possible solution to see if it is extraneous or not.

----------------------------

Checking x = 1

3x - 4 = sqrt(x)
3*1 - 4 = sqrt(1)
3 - 4 = 1
-1 = 1

The final equation is false, so x = 1 is not a true solution

x = 1 is extraneous. 

So far, John is correct; however, we need to see the nature of the possible solution x = 16/9

So let's check it
----------------------------

Checking x = 16/9

3x - 4 = sqrt(x)
3*(16/9) - 4 = sqrt(16/9)
48/9 - 4 = 4/3
16/3 - 4 = 4/3
16/3 - 12/3 = 4/3
(16 - 12)/3 = 4/3
4/3 = 4/3

The last equation is true, so x = 16/9 is a proper solution.

This solution is considered non-extraneous. So Tim is also correct
----------------------------

They are both correct because there are two possible solutions. One of which is extraneous (x = 1) and the other is non-extraneous (the fraction x = 16/9)

3 0
3 years ago
If anyone knows this please help me
alexgriva [62]

Answer:

oh hey I gotchu-

first of all you are gonna make that into two rectangle by slicing the top off if that makes sense so you now have a large rectangle (11×12) and a small one (3×8) now you use the area formula for rectangles base×height so the small one becomes (3×8)=24 and the large one is (11×12)=132. now to make them into one shape for the total area you add those two values 132+24=156 so your total area is 156m²

6 0
2 years ago
Review
Elza [17]

Answer:

246 physics books

186 biology books

Step-by-step explanation:

1) there are 432 total books

2) there are 60 more physics books than biology books

3) 432 - 60 = 372

4) 372 divided by 2 = 186

5) 432 - 186 = 246

Check:

246 + 186 = 432

246 - 186 = 60

hope this helped :)

6 0
3 years ago
Can anyone pls help me I really need help pls help me I will mark them as brainiest pls!!! Can u do it in a paper and then send
Tom [10]

Answer:

see them bellow

Step-by-step explanation:

6 0
3 years ago
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